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Countdown to the April 2012 State Math 8 Tests
Hi Everyone
With just a few instructional days left before the state tests for Math grades 3-8 and thinking about what could be done as a last minute push to help our students wersquore providing you with a ldquoCountdown to the State Testsrdquo agenda that covers the ten days before the tests This will start when you return from April Break
FYI8th graders will take their NYS Math 8 Wednesday- Friday April 25th ndash 27th
The table below explains what area is addressed on each day for grade 8 The accompanying pages give you mini lessons to use with your students Appropriate materials such as reference sheets problems addressing specific standards rubrics and state guidelines for testing and scoring are attached
Please choose a constructive way to use this packet to help your students
Good Luck to you and your students
DATE GRADE 8
Day 1 Dates Times Format
Day 2 Reference Sheet
Day 3 Directions on test
Day 4 Rubrics
Day 5 Tools (Ruler)
Day 6 Algebra
Day 7 Algebra
Day 8 Geometry
Day 9 Geometry
Day 10 Number Sense amp Operations and Measurement
Countdown-to-the-Tests Mini Lesson Day 1 TOPIC Dates Times Format
GRADE 8Curriculum Planning httpwwwp12nysedgovosamathei20103-8math2010pdf
1 Test is administered over three days Wed April 25 Thurs April 26 and Fri April 27
2 Rulers are provided for both days of the test
3 Day 1 amp 2 Book 1 amp 2 (Wednesday and Thursday)o Book 1 38 multiple-choice questionso Book 2 37 multiple choice questionso State estimates 60 minutes + prep timeo Students are allowed 90 minuteso NO calculator permittedo Students will record their answers on a pre-headed answer sheet using a
2 pencilo NO reference sheet is allowed
4 Day 3 Book 3 (Friday)o 5 short-response questionso 4 extended-response questionso 60 minutes + prep timeo Scientific calculator is requiredo All answers will be written in the test booko NO PENS are allowed must use 2 pencilso Reference sheet may be used
Countdown-to-the-Tests Mini Lesson for Day 2 TOPIC Pi amp Reference Sheet
GRADE 8 The Reference Sheet may be used when doing the short-response and extended-response
questions only If a formula or conversion is needed for a multiple-choice question it will be written near the question
The Reference Sheet for Grade 8 is attached
Walk through the reference sheet with the students
Review the different formulas with them
Review the conversions on the sheet
LESSONProblem 1 What formula do you use if you are to find simple interest
Answer Simple Interest I = prt
Problem 2 Find the amount of simple interest earned if $7300 is invested for 8 years at a rate of 4
I = prtI = (7300)(04)(8)I=$2336
Problem 3 If the outdoor temperature is77 deg F what is the temperature in Celsius
Show your work
C=59(Fminus32)
(write correct formula)C=5
9(77minus32 )
(substitute given values)C=25 (use calculator to simplify)
Answer C=25 deg
IMPORTANT IMPORTANT IMPORTANT
This is from the NYSED website article entitled Instructional Recommendations for Elementary and Intermediate Mathematics Instruction Updated May 2006
PiStudents should learn that is an irrational number and unless otherwise specified the key and the full
display of the calculator should be used in computations is not equal to 31416 314 nor
227 When
working without a calculator students should leave their answers in terms of for greatest accuracy
NAME ______________________________________ Day 2 GRADE 8
Problem 1 Find the amount of simple interest earned if $7300 is invested for 8 years at a rate of 4
Answer _____________________________
Problem 2 If the outdoor temperature is77 deg F what is the temperature in Celsius Show your work
Answer __________________
Mathematics Reference Sheet ndash Grade 8
FORMULAS
_____________________________________________________________________________________
Simple Interest I = prt
_____________________________________________________________________________________
Distance Formula d = rt
_____________________________________________________________________________________
CONVERSIONS
Temperature Conversions
F=95C+32
C=59(Fminus32)
Measurement Conversions
1 mile = 5280 feet 1 yard = 3 feet
Countdown-to-the-Tests
Mini Lesson for Day 3 TOPIC Directions on test
Each year when we score the NYS tests we find student errors based on not following or not interpreting the directions correctly This mini lesson is designed to highlight some of those errors The following information applies to both Grade 7 and 8
GRADE 8
Multiple-choice questions
Encourage students to answer ALL of the multiple-choice questions Tell them to take an ldquoeducatedrdquo guess and to not leave any blanks
Students may do their work in Book 1and 2 that contains the multiple-choice questions Students may NOT use scrap paper for Book 1 and 2 Students will record answers on a separate scanning sheet so make sure students understand
that accuracy in recording answers is very important Only answers on the scanning sheet will be corrected Students must transfer their answers to
this sheet
Short-response and extended-response questions
If ldquoAnswer __________rdquo is providedhellipo If the student shows appropriate work arrives at a correct answer BUT writes an
incorrect answer on the answer blank the student may NOT receive full credito If a student fails to write the answer in the answer blank when the question requires
that work must be shown but shows appropriate work and clearly identifies a correct answer the student should still receive full credit
o If there is one numerical answer space provided and work is required a correct numerical answer with no work shown receives a score of 1
o If there are two numerical answer spaces provided and work is required for both parts then one correct numerical answer with no work shown receives a score of 0 If no work is shown the student must have BOTH numerical answers correct to receive a score of 1
o In a 3-point question that has two numerical answer spaces but work is required for only one of them then the student can receive a score of 2 if both numerical answers are correct but no work is shown
Encourage your students to always write their answers in the answer spaces provided
If ldquoOn the lines below explainhelliprdquo is providedhellipo If ruled lines are provided the student must write hisher explanation ON THOSE
LINES Mathematical work shown elsewhere on the page may NOT be considered unless the student explicitly points to the work as part of the answer
So train your students on the use of the ruled lines when lines are provided
If ldquoShow your workrdquo is requiredhellipo If a student does the work in other than the ldquoshow your workrdquo area that work may still
be scoredo If the question indicates ldquoshow your workrdquo a student will NOT receive full credit for a
correct numerical answer unless appropriate work is showno If the student shows appropriate work arrives at a correct answer BUT writes an
incorrect answer on the answer blank the student may NOT receive full credito If the question does not indicate for the students to show their work then teachers
may NOT score any work that the student shows
If ldquoTrial-and-errorrdquo OR ldquoGuess-and-checkrdquo method is usedhellipo Student must show evidence of three rounds of trial-and-error to receive credit for the
process One of the trials must result in the correct answero If the student uses this method heshe may cross out some trials and still receive full
credit if three trials are shown
ldquoRun-on math sentencerdquoo You may see this error when students simplify an expressiono An example is Simplify this expression (4+7)iquest 5
And the student writes this 4+7 = 11iquest 5 = 55 The student will NOT receive full credit because this math sentence says that
4+11 is 55 which is an incorrect statement ldquoExpressions vs equationsrdquohellip
o If a student is asked to provide an expression but instead provides an equation then the student will NOT receive full credit
Graphshellip (Graphs are part of the Grade 7 Statistics amp Probability Strand)o If a student is asked to provide a bar graph the bars MAY NOT TOUCH
ldquoRounding vs estimatingrdquohellipo If a question requires an estimated answer but the student calculates an answer using
the given values and then rounds the answer the student will NOT receive full credit Show your students the difference between rounding and estimating
ldquoCrossed-out workrdquohellipo If the student provides one legible response (and one response only) teachers should
score the response even if it has been crossed out If the student has written more than one response but has crossed some out teachers should score only the response that has not been crossed out
NAME _____________________________________ Day 3 GRADE 8
Problem 1
Rowan raised $640 in a charity walk last year This year he raised 15 more than he raised last year How much money did Rowan raise this year
Show your work
Answer $______________________
Problem 2
Countdown-to-the-Tests Mini Lesson for Day 4 TOPIC Rubrics
We score the short-response and extended-response questions on the NYS tests using the 2-Point and 3-Point Holistic Rubrics provided by NYSED
The following information applies to both Grade 7 and 8
GRADE 7 AND GRADE 8
Using the rubrics and the other information learned earlier of requirements that must be done when completing short-response and extended-response questions have the students use their skills to score questions
Have the students work independently to complete the problems for day 4
Once the papers are completed have two or three students volunteer to put their answers on transparencies or on newsprint FYIhellipthis would be a perfect time to use an ELMO if one is available in your school
Have the class discuss what score the paper should receive based on the rubrics and other knowledge they have of scoring papers
Now have students score their own papers Have them write their answer as Score A Have students write a justification for the score
Once this is completed have the students exchange papers and re-grade them to see if they score the papers the same This score is recorded as Score B Have students justify the score
R
P
N
S
Q
T
M
(4x-29)
(3x+12)
U
NAME _____________________________________ Day 4 GRADE 8
Problem 1 Tyrone travels internationally on business On a trip to Japan Tyrone uses the exchange rates in the tables shown below
US Dollar Japanese Yen$100 11519yen
Japanese Yen US Dollar1yen $0008681
What is the value of 75 US dollars in Japanese yen Round your answer to the nearest yen
Show your work
Answer ________ yen
Score Problem 1 using the 2-Point Holistic Rubric Score _______
______________________________________________________________________Problem 2 (8G4) AND (8G5) Lines SR and NU are parallel PART A
Find the value of x
Show your work
Answer _____________
PART B What is the measure in degrees ofangMPR Show your work
Answer _____________ degrees
Score Problem 2 using the 3-Point Holistic Rubric Score _______ Problem 3 Solve the following system of equations graphically
y = 2x ndash 5 y = -x + 1
Answer __________
Score Problem 2 using the 3-Point Holistic Rubric Score _______
2-Point Holistic Rubric
Countdown-to-the-Tests Mini Lesson for Day 5 TOPIC Tools (Protractor amp Ruler)
Each student must have a ruler and each Grade 7 student must also have a protractor for his or her exclusive use during the test In the past NYSED provided new plastic rulers and protractors Your buildingrsquos math specialist or test liaison received these tools Use these tools PRIOR to the state exam on May 5 and 6 so that your students are familiar and comfortable using these tools before they need them on the state exam Rulers and protractors will NOT be replaced by NYSED if they are lost or broken This will be the responsibility of the school This is the web address to find the SED guidelines for rulers and protractors httpwwwp12nysedgovapdasammathmathei-sam-11pdf
Grades 5-8 Mathematics Tests ndash Specifications for Rulers
1048707 Rulers may be constructed of plastic wood metal cardboard or other suitable material
1048707 Rulers must be between 6 and 12 long
1048707 Rulers must include inch to 1
16 subdivisions
1048707 Rulers must include centimeters with millimeter subdivisions
1048707 Rulers must be calibrated accurately with the RulerProtractor Calibration Sheet
Grades 5 and 7 Mathematics Tests ndash Specifications for Protractors
1048707 Protractors must be of clear plastic and measure no shorter than 3 15
16 in diameter and no longer than 4 3
4 in diameter
1048707 Protractors must be calibrated accurately with the RulerProtractor Calibration Sheet
If the ruler or protractor icon is shown on a particular question it means that the student MUST use this tool to complete the question
If the ruler or protractor icon is NOT shown on a particular question it means that the student should not use the math tools to solve the problem When this occurs the question will show [NOT DRAWN TO SCALE]
GRADE 8 Measurement Strand
Performance Indicator 7M1 is ldquocalculate distance using a map scalerdquo
(FYIhellipthis is a May-June PI for Grade 7 so it is tested on the Grade 8 exam)
City A City B
NAME ______________________________________ Day 5 GRADE 8MEASUREMENT STRANDProblem 1 (7M1) What is the actual distance between City A and City B on a map with
a scale of 12 inch = 40 miles Use your ruler to help you solve this problem
Show your work
Answer _______________ miles
--------------------------------------------------------------------------------------------------
Problem 2 Directions Use your ruler to help you solve this problem
Maria is planning a car trip from Niagara Falls to East Aurora
What is the approximate driving distance from Niagara Falls to East Aurora
ANSWER_____________
NAME _____________________________________ Day 6 GRADE 8ALGEBRA STRANDProblem 1 (7A10)
PART A Write the equation for the rule of the pattern in the table
Answer ________________________
PART B
Using the equation you wrote for the rule of the pattern in the table find the value of y when x is 12
Show your work
Answer ________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) Rashid wrote the sentence below
Forty-eight is greater than or equal to four plus the product of a certain number x and eleven
Write Rashidrsquos sentence as an algebraic inequality
Answer _____________________________________________________________
-------------------------------------------------------------------------------------------------Problem 3 (8A11)Write these expressions in factored form
a x2minus6 x+8
b n2+7n+10
c y2minus yminus6
Answer a ___________________ b ____________________ c____________________
x y1 82 133 184 23
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
Countdown-to-the-Tests Mini Lesson Day 1 TOPIC Dates Times Format
GRADE 8Curriculum Planning httpwwwp12nysedgovosamathei20103-8math2010pdf
1 Test is administered over three days Wed April 25 Thurs April 26 and Fri April 27
2 Rulers are provided for both days of the test
3 Day 1 amp 2 Book 1 amp 2 (Wednesday and Thursday)o Book 1 38 multiple-choice questionso Book 2 37 multiple choice questionso State estimates 60 minutes + prep timeo Students are allowed 90 minuteso NO calculator permittedo Students will record their answers on a pre-headed answer sheet using a
2 pencilo NO reference sheet is allowed
4 Day 3 Book 3 (Friday)o 5 short-response questionso 4 extended-response questionso 60 minutes + prep timeo Scientific calculator is requiredo All answers will be written in the test booko NO PENS are allowed must use 2 pencilso Reference sheet may be used
Countdown-to-the-Tests Mini Lesson for Day 2 TOPIC Pi amp Reference Sheet
GRADE 8 The Reference Sheet may be used when doing the short-response and extended-response
questions only If a formula or conversion is needed for a multiple-choice question it will be written near the question
The Reference Sheet for Grade 8 is attached
Walk through the reference sheet with the students
Review the different formulas with them
Review the conversions on the sheet
LESSONProblem 1 What formula do you use if you are to find simple interest
Answer Simple Interest I = prt
Problem 2 Find the amount of simple interest earned if $7300 is invested for 8 years at a rate of 4
I = prtI = (7300)(04)(8)I=$2336
Problem 3 If the outdoor temperature is77 deg F what is the temperature in Celsius
Show your work
C=59(Fminus32)
(write correct formula)C=5
9(77minus32 )
(substitute given values)C=25 (use calculator to simplify)
Answer C=25 deg
IMPORTANT IMPORTANT IMPORTANT
This is from the NYSED website article entitled Instructional Recommendations for Elementary and Intermediate Mathematics Instruction Updated May 2006
PiStudents should learn that is an irrational number and unless otherwise specified the key and the full
display of the calculator should be used in computations is not equal to 31416 314 nor
227 When
working without a calculator students should leave their answers in terms of for greatest accuracy
NAME ______________________________________ Day 2 GRADE 8
Problem 1 Find the amount of simple interest earned if $7300 is invested for 8 years at a rate of 4
Answer _____________________________
Problem 2 If the outdoor temperature is77 deg F what is the temperature in Celsius Show your work
Answer __________________
Mathematics Reference Sheet ndash Grade 8
FORMULAS
_____________________________________________________________________________________
Simple Interest I = prt
_____________________________________________________________________________________
Distance Formula d = rt
_____________________________________________________________________________________
CONVERSIONS
Temperature Conversions
F=95C+32
C=59(Fminus32)
Measurement Conversions
1 mile = 5280 feet 1 yard = 3 feet
Countdown-to-the-Tests
Mini Lesson for Day 3 TOPIC Directions on test
Each year when we score the NYS tests we find student errors based on not following or not interpreting the directions correctly This mini lesson is designed to highlight some of those errors The following information applies to both Grade 7 and 8
GRADE 8
Multiple-choice questions
Encourage students to answer ALL of the multiple-choice questions Tell them to take an ldquoeducatedrdquo guess and to not leave any blanks
Students may do their work in Book 1and 2 that contains the multiple-choice questions Students may NOT use scrap paper for Book 1 and 2 Students will record answers on a separate scanning sheet so make sure students understand
that accuracy in recording answers is very important Only answers on the scanning sheet will be corrected Students must transfer their answers to
this sheet
Short-response and extended-response questions
If ldquoAnswer __________rdquo is providedhellipo If the student shows appropriate work arrives at a correct answer BUT writes an
incorrect answer on the answer blank the student may NOT receive full credito If a student fails to write the answer in the answer blank when the question requires
that work must be shown but shows appropriate work and clearly identifies a correct answer the student should still receive full credit
o If there is one numerical answer space provided and work is required a correct numerical answer with no work shown receives a score of 1
o If there are two numerical answer spaces provided and work is required for both parts then one correct numerical answer with no work shown receives a score of 0 If no work is shown the student must have BOTH numerical answers correct to receive a score of 1
o In a 3-point question that has two numerical answer spaces but work is required for only one of them then the student can receive a score of 2 if both numerical answers are correct but no work is shown
Encourage your students to always write their answers in the answer spaces provided
If ldquoOn the lines below explainhelliprdquo is providedhellipo If ruled lines are provided the student must write hisher explanation ON THOSE
LINES Mathematical work shown elsewhere on the page may NOT be considered unless the student explicitly points to the work as part of the answer
So train your students on the use of the ruled lines when lines are provided
If ldquoShow your workrdquo is requiredhellipo If a student does the work in other than the ldquoshow your workrdquo area that work may still
be scoredo If the question indicates ldquoshow your workrdquo a student will NOT receive full credit for a
correct numerical answer unless appropriate work is showno If the student shows appropriate work arrives at a correct answer BUT writes an
incorrect answer on the answer blank the student may NOT receive full credito If the question does not indicate for the students to show their work then teachers
may NOT score any work that the student shows
If ldquoTrial-and-errorrdquo OR ldquoGuess-and-checkrdquo method is usedhellipo Student must show evidence of three rounds of trial-and-error to receive credit for the
process One of the trials must result in the correct answero If the student uses this method heshe may cross out some trials and still receive full
credit if three trials are shown
ldquoRun-on math sentencerdquoo You may see this error when students simplify an expressiono An example is Simplify this expression (4+7)iquest 5
And the student writes this 4+7 = 11iquest 5 = 55 The student will NOT receive full credit because this math sentence says that
4+11 is 55 which is an incorrect statement ldquoExpressions vs equationsrdquohellip
o If a student is asked to provide an expression but instead provides an equation then the student will NOT receive full credit
Graphshellip (Graphs are part of the Grade 7 Statistics amp Probability Strand)o If a student is asked to provide a bar graph the bars MAY NOT TOUCH
ldquoRounding vs estimatingrdquohellipo If a question requires an estimated answer but the student calculates an answer using
the given values and then rounds the answer the student will NOT receive full credit Show your students the difference between rounding and estimating
ldquoCrossed-out workrdquohellipo If the student provides one legible response (and one response only) teachers should
score the response even if it has been crossed out If the student has written more than one response but has crossed some out teachers should score only the response that has not been crossed out
NAME _____________________________________ Day 3 GRADE 8
Problem 1
Rowan raised $640 in a charity walk last year This year he raised 15 more than he raised last year How much money did Rowan raise this year
Show your work
Answer $______________________
Problem 2
Countdown-to-the-Tests Mini Lesson for Day 4 TOPIC Rubrics
We score the short-response and extended-response questions on the NYS tests using the 2-Point and 3-Point Holistic Rubrics provided by NYSED
The following information applies to both Grade 7 and 8
GRADE 7 AND GRADE 8
Using the rubrics and the other information learned earlier of requirements that must be done when completing short-response and extended-response questions have the students use their skills to score questions
Have the students work independently to complete the problems for day 4
Once the papers are completed have two or three students volunteer to put their answers on transparencies or on newsprint FYIhellipthis would be a perfect time to use an ELMO if one is available in your school
Have the class discuss what score the paper should receive based on the rubrics and other knowledge they have of scoring papers
Now have students score their own papers Have them write their answer as Score A Have students write a justification for the score
Once this is completed have the students exchange papers and re-grade them to see if they score the papers the same This score is recorded as Score B Have students justify the score
R
P
N
S
Q
T
M
(4x-29)
(3x+12)
U
NAME _____________________________________ Day 4 GRADE 8
Problem 1 Tyrone travels internationally on business On a trip to Japan Tyrone uses the exchange rates in the tables shown below
US Dollar Japanese Yen$100 11519yen
Japanese Yen US Dollar1yen $0008681
What is the value of 75 US dollars in Japanese yen Round your answer to the nearest yen
Show your work
Answer ________ yen
Score Problem 1 using the 2-Point Holistic Rubric Score _______
______________________________________________________________________Problem 2 (8G4) AND (8G5) Lines SR and NU are parallel PART A
Find the value of x
Show your work
Answer _____________
PART B What is the measure in degrees ofangMPR Show your work
Answer _____________ degrees
Score Problem 2 using the 3-Point Holistic Rubric Score _______ Problem 3 Solve the following system of equations graphically
y = 2x ndash 5 y = -x + 1
Answer __________
Score Problem 2 using the 3-Point Holistic Rubric Score _______
2-Point Holistic Rubric
Countdown-to-the-Tests Mini Lesson for Day 5 TOPIC Tools (Protractor amp Ruler)
Each student must have a ruler and each Grade 7 student must also have a protractor for his or her exclusive use during the test In the past NYSED provided new plastic rulers and protractors Your buildingrsquos math specialist or test liaison received these tools Use these tools PRIOR to the state exam on May 5 and 6 so that your students are familiar and comfortable using these tools before they need them on the state exam Rulers and protractors will NOT be replaced by NYSED if they are lost or broken This will be the responsibility of the school This is the web address to find the SED guidelines for rulers and protractors httpwwwp12nysedgovapdasammathmathei-sam-11pdf
Grades 5-8 Mathematics Tests ndash Specifications for Rulers
1048707 Rulers may be constructed of plastic wood metal cardboard or other suitable material
1048707 Rulers must be between 6 and 12 long
1048707 Rulers must include inch to 1
16 subdivisions
1048707 Rulers must include centimeters with millimeter subdivisions
1048707 Rulers must be calibrated accurately with the RulerProtractor Calibration Sheet
Grades 5 and 7 Mathematics Tests ndash Specifications for Protractors
1048707 Protractors must be of clear plastic and measure no shorter than 3 15
16 in diameter and no longer than 4 3
4 in diameter
1048707 Protractors must be calibrated accurately with the RulerProtractor Calibration Sheet
If the ruler or protractor icon is shown on a particular question it means that the student MUST use this tool to complete the question
If the ruler or protractor icon is NOT shown on a particular question it means that the student should not use the math tools to solve the problem When this occurs the question will show [NOT DRAWN TO SCALE]
GRADE 8 Measurement Strand
Performance Indicator 7M1 is ldquocalculate distance using a map scalerdquo
(FYIhellipthis is a May-June PI for Grade 7 so it is tested on the Grade 8 exam)
City A City B
NAME ______________________________________ Day 5 GRADE 8MEASUREMENT STRANDProblem 1 (7M1) What is the actual distance between City A and City B on a map with
a scale of 12 inch = 40 miles Use your ruler to help you solve this problem
Show your work
Answer _______________ miles
--------------------------------------------------------------------------------------------------
Problem 2 Directions Use your ruler to help you solve this problem
Maria is planning a car trip from Niagara Falls to East Aurora
What is the approximate driving distance from Niagara Falls to East Aurora
ANSWER_____________
NAME _____________________________________ Day 6 GRADE 8ALGEBRA STRANDProblem 1 (7A10)
PART A Write the equation for the rule of the pattern in the table
Answer ________________________
PART B
Using the equation you wrote for the rule of the pattern in the table find the value of y when x is 12
Show your work
Answer ________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) Rashid wrote the sentence below
Forty-eight is greater than or equal to four plus the product of a certain number x and eleven
Write Rashidrsquos sentence as an algebraic inequality
Answer _____________________________________________________________
-------------------------------------------------------------------------------------------------Problem 3 (8A11)Write these expressions in factored form
a x2minus6 x+8
b n2+7n+10
c y2minus yminus6
Answer a ___________________ b ____________________ c____________________
x y1 82 133 184 23
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
Countdown-to-the-Tests Mini Lesson for Day 2 TOPIC Pi amp Reference Sheet
GRADE 8 The Reference Sheet may be used when doing the short-response and extended-response
questions only If a formula or conversion is needed for a multiple-choice question it will be written near the question
The Reference Sheet for Grade 8 is attached
Walk through the reference sheet with the students
Review the different formulas with them
Review the conversions on the sheet
LESSONProblem 1 What formula do you use if you are to find simple interest
Answer Simple Interest I = prt
Problem 2 Find the amount of simple interest earned if $7300 is invested for 8 years at a rate of 4
I = prtI = (7300)(04)(8)I=$2336
Problem 3 If the outdoor temperature is77 deg F what is the temperature in Celsius
Show your work
C=59(Fminus32)
(write correct formula)C=5
9(77minus32 )
(substitute given values)C=25 (use calculator to simplify)
Answer C=25 deg
IMPORTANT IMPORTANT IMPORTANT
This is from the NYSED website article entitled Instructional Recommendations for Elementary and Intermediate Mathematics Instruction Updated May 2006
PiStudents should learn that is an irrational number and unless otherwise specified the key and the full
display of the calculator should be used in computations is not equal to 31416 314 nor
227 When
working without a calculator students should leave their answers in terms of for greatest accuracy
NAME ______________________________________ Day 2 GRADE 8
Problem 1 Find the amount of simple interest earned if $7300 is invested for 8 years at a rate of 4
Answer _____________________________
Problem 2 If the outdoor temperature is77 deg F what is the temperature in Celsius Show your work
Answer __________________
Mathematics Reference Sheet ndash Grade 8
FORMULAS
_____________________________________________________________________________________
Simple Interest I = prt
_____________________________________________________________________________________
Distance Formula d = rt
_____________________________________________________________________________________
CONVERSIONS
Temperature Conversions
F=95C+32
C=59(Fminus32)
Measurement Conversions
1 mile = 5280 feet 1 yard = 3 feet
Countdown-to-the-Tests
Mini Lesson for Day 3 TOPIC Directions on test
Each year when we score the NYS tests we find student errors based on not following or not interpreting the directions correctly This mini lesson is designed to highlight some of those errors The following information applies to both Grade 7 and 8
GRADE 8
Multiple-choice questions
Encourage students to answer ALL of the multiple-choice questions Tell them to take an ldquoeducatedrdquo guess and to not leave any blanks
Students may do their work in Book 1and 2 that contains the multiple-choice questions Students may NOT use scrap paper for Book 1 and 2 Students will record answers on a separate scanning sheet so make sure students understand
that accuracy in recording answers is very important Only answers on the scanning sheet will be corrected Students must transfer their answers to
this sheet
Short-response and extended-response questions
If ldquoAnswer __________rdquo is providedhellipo If the student shows appropriate work arrives at a correct answer BUT writes an
incorrect answer on the answer blank the student may NOT receive full credito If a student fails to write the answer in the answer blank when the question requires
that work must be shown but shows appropriate work and clearly identifies a correct answer the student should still receive full credit
o If there is one numerical answer space provided and work is required a correct numerical answer with no work shown receives a score of 1
o If there are two numerical answer spaces provided and work is required for both parts then one correct numerical answer with no work shown receives a score of 0 If no work is shown the student must have BOTH numerical answers correct to receive a score of 1
o In a 3-point question that has two numerical answer spaces but work is required for only one of them then the student can receive a score of 2 if both numerical answers are correct but no work is shown
Encourage your students to always write their answers in the answer spaces provided
If ldquoOn the lines below explainhelliprdquo is providedhellipo If ruled lines are provided the student must write hisher explanation ON THOSE
LINES Mathematical work shown elsewhere on the page may NOT be considered unless the student explicitly points to the work as part of the answer
So train your students on the use of the ruled lines when lines are provided
If ldquoShow your workrdquo is requiredhellipo If a student does the work in other than the ldquoshow your workrdquo area that work may still
be scoredo If the question indicates ldquoshow your workrdquo a student will NOT receive full credit for a
correct numerical answer unless appropriate work is showno If the student shows appropriate work arrives at a correct answer BUT writes an
incorrect answer on the answer blank the student may NOT receive full credito If the question does not indicate for the students to show their work then teachers
may NOT score any work that the student shows
If ldquoTrial-and-errorrdquo OR ldquoGuess-and-checkrdquo method is usedhellipo Student must show evidence of three rounds of trial-and-error to receive credit for the
process One of the trials must result in the correct answero If the student uses this method heshe may cross out some trials and still receive full
credit if three trials are shown
ldquoRun-on math sentencerdquoo You may see this error when students simplify an expressiono An example is Simplify this expression (4+7)iquest 5
And the student writes this 4+7 = 11iquest 5 = 55 The student will NOT receive full credit because this math sentence says that
4+11 is 55 which is an incorrect statement ldquoExpressions vs equationsrdquohellip
o If a student is asked to provide an expression but instead provides an equation then the student will NOT receive full credit
Graphshellip (Graphs are part of the Grade 7 Statistics amp Probability Strand)o If a student is asked to provide a bar graph the bars MAY NOT TOUCH
ldquoRounding vs estimatingrdquohellipo If a question requires an estimated answer but the student calculates an answer using
the given values and then rounds the answer the student will NOT receive full credit Show your students the difference between rounding and estimating
ldquoCrossed-out workrdquohellipo If the student provides one legible response (and one response only) teachers should
score the response even if it has been crossed out If the student has written more than one response but has crossed some out teachers should score only the response that has not been crossed out
NAME _____________________________________ Day 3 GRADE 8
Problem 1
Rowan raised $640 in a charity walk last year This year he raised 15 more than he raised last year How much money did Rowan raise this year
Show your work
Answer $______________________
Problem 2
Countdown-to-the-Tests Mini Lesson for Day 4 TOPIC Rubrics
We score the short-response and extended-response questions on the NYS tests using the 2-Point and 3-Point Holistic Rubrics provided by NYSED
The following information applies to both Grade 7 and 8
GRADE 7 AND GRADE 8
Using the rubrics and the other information learned earlier of requirements that must be done when completing short-response and extended-response questions have the students use their skills to score questions
Have the students work independently to complete the problems for day 4
Once the papers are completed have two or three students volunteer to put their answers on transparencies or on newsprint FYIhellipthis would be a perfect time to use an ELMO if one is available in your school
Have the class discuss what score the paper should receive based on the rubrics and other knowledge they have of scoring papers
Now have students score their own papers Have them write their answer as Score A Have students write a justification for the score
Once this is completed have the students exchange papers and re-grade them to see if they score the papers the same This score is recorded as Score B Have students justify the score
R
P
N
S
Q
T
M
(4x-29)
(3x+12)
U
NAME _____________________________________ Day 4 GRADE 8
Problem 1 Tyrone travels internationally on business On a trip to Japan Tyrone uses the exchange rates in the tables shown below
US Dollar Japanese Yen$100 11519yen
Japanese Yen US Dollar1yen $0008681
What is the value of 75 US dollars in Japanese yen Round your answer to the nearest yen
Show your work
Answer ________ yen
Score Problem 1 using the 2-Point Holistic Rubric Score _______
______________________________________________________________________Problem 2 (8G4) AND (8G5) Lines SR and NU are parallel PART A
Find the value of x
Show your work
Answer _____________
PART B What is the measure in degrees ofangMPR Show your work
Answer _____________ degrees
Score Problem 2 using the 3-Point Holistic Rubric Score _______ Problem 3 Solve the following system of equations graphically
y = 2x ndash 5 y = -x + 1
Answer __________
Score Problem 2 using the 3-Point Holistic Rubric Score _______
2-Point Holistic Rubric
Countdown-to-the-Tests Mini Lesson for Day 5 TOPIC Tools (Protractor amp Ruler)
Each student must have a ruler and each Grade 7 student must also have a protractor for his or her exclusive use during the test In the past NYSED provided new plastic rulers and protractors Your buildingrsquos math specialist or test liaison received these tools Use these tools PRIOR to the state exam on May 5 and 6 so that your students are familiar and comfortable using these tools before they need them on the state exam Rulers and protractors will NOT be replaced by NYSED if they are lost or broken This will be the responsibility of the school This is the web address to find the SED guidelines for rulers and protractors httpwwwp12nysedgovapdasammathmathei-sam-11pdf
Grades 5-8 Mathematics Tests ndash Specifications for Rulers
1048707 Rulers may be constructed of plastic wood metal cardboard or other suitable material
1048707 Rulers must be between 6 and 12 long
1048707 Rulers must include inch to 1
16 subdivisions
1048707 Rulers must include centimeters with millimeter subdivisions
1048707 Rulers must be calibrated accurately with the RulerProtractor Calibration Sheet
Grades 5 and 7 Mathematics Tests ndash Specifications for Protractors
1048707 Protractors must be of clear plastic and measure no shorter than 3 15
16 in diameter and no longer than 4 3
4 in diameter
1048707 Protractors must be calibrated accurately with the RulerProtractor Calibration Sheet
If the ruler or protractor icon is shown on a particular question it means that the student MUST use this tool to complete the question
If the ruler or protractor icon is NOT shown on a particular question it means that the student should not use the math tools to solve the problem When this occurs the question will show [NOT DRAWN TO SCALE]
GRADE 8 Measurement Strand
Performance Indicator 7M1 is ldquocalculate distance using a map scalerdquo
(FYIhellipthis is a May-June PI for Grade 7 so it is tested on the Grade 8 exam)
City A City B
NAME ______________________________________ Day 5 GRADE 8MEASUREMENT STRANDProblem 1 (7M1) What is the actual distance between City A and City B on a map with
a scale of 12 inch = 40 miles Use your ruler to help you solve this problem
Show your work
Answer _______________ miles
--------------------------------------------------------------------------------------------------
Problem 2 Directions Use your ruler to help you solve this problem
Maria is planning a car trip from Niagara Falls to East Aurora
What is the approximate driving distance from Niagara Falls to East Aurora
ANSWER_____________
NAME _____________________________________ Day 6 GRADE 8ALGEBRA STRANDProblem 1 (7A10)
PART A Write the equation for the rule of the pattern in the table
Answer ________________________
PART B
Using the equation you wrote for the rule of the pattern in the table find the value of y when x is 12
Show your work
Answer ________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) Rashid wrote the sentence below
Forty-eight is greater than or equal to four plus the product of a certain number x and eleven
Write Rashidrsquos sentence as an algebraic inequality
Answer _____________________________________________________________
-------------------------------------------------------------------------------------------------Problem 3 (8A11)Write these expressions in factored form
a x2minus6 x+8
b n2+7n+10
c y2minus yminus6
Answer a ___________________ b ____________________ c____________________
x y1 82 133 184 23
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
This is from the NYSED website article entitled Instructional Recommendations for Elementary and Intermediate Mathematics Instruction Updated May 2006
PiStudents should learn that is an irrational number and unless otherwise specified the key and the full
display of the calculator should be used in computations is not equal to 31416 314 nor
227 When
working without a calculator students should leave their answers in terms of for greatest accuracy
NAME ______________________________________ Day 2 GRADE 8
Problem 1 Find the amount of simple interest earned if $7300 is invested for 8 years at a rate of 4
Answer _____________________________
Problem 2 If the outdoor temperature is77 deg F what is the temperature in Celsius Show your work
Answer __________________
Mathematics Reference Sheet ndash Grade 8
FORMULAS
_____________________________________________________________________________________
Simple Interest I = prt
_____________________________________________________________________________________
Distance Formula d = rt
_____________________________________________________________________________________
CONVERSIONS
Temperature Conversions
F=95C+32
C=59(Fminus32)
Measurement Conversions
1 mile = 5280 feet 1 yard = 3 feet
Countdown-to-the-Tests
Mini Lesson for Day 3 TOPIC Directions on test
Each year when we score the NYS tests we find student errors based on not following or not interpreting the directions correctly This mini lesson is designed to highlight some of those errors The following information applies to both Grade 7 and 8
GRADE 8
Multiple-choice questions
Encourage students to answer ALL of the multiple-choice questions Tell them to take an ldquoeducatedrdquo guess and to not leave any blanks
Students may do their work in Book 1and 2 that contains the multiple-choice questions Students may NOT use scrap paper for Book 1 and 2 Students will record answers on a separate scanning sheet so make sure students understand
that accuracy in recording answers is very important Only answers on the scanning sheet will be corrected Students must transfer their answers to
this sheet
Short-response and extended-response questions
If ldquoAnswer __________rdquo is providedhellipo If the student shows appropriate work arrives at a correct answer BUT writes an
incorrect answer on the answer blank the student may NOT receive full credito If a student fails to write the answer in the answer blank when the question requires
that work must be shown but shows appropriate work and clearly identifies a correct answer the student should still receive full credit
o If there is one numerical answer space provided and work is required a correct numerical answer with no work shown receives a score of 1
o If there are two numerical answer spaces provided and work is required for both parts then one correct numerical answer with no work shown receives a score of 0 If no work is shown the student must have BOTH numerical answers correct to receive a score of 1
o In a 3-point question that has two numerical answer spaces but work is required for only one of them then the student can receive a score of 2 if both numerical answers are correct but no work is shown
Encourage your students to always write their answers in the answer spaces provided
If ldquoOn the lines below explainhelliprdquo is providedhellipo If ruled lines are provided the student must write hisher explanation ON THOSE
LINES Mathematical work shown elsewhere on the page may NOT be considered unless the student explicitly points to the work as part of the answer
So train your students on the use of the ruled lines when lines are provided
If ldquoShow your workrdquo is requiredhellipo If a student does the work in other than the ldquoshow your workrdquo area that work may still
be scoredo If the question indicates ldquoshow your workrdquo a student will NOT receive full credit for a
correct numerical answer unless appropriate work is showno If the student shows appropriate work arrives at a correct answer BUT writes an
incorrect answer on the answer blank the student may NOT receive full credito If the question does not indicate for the students to show their work then teachers
may NOT score any work that the student shows
If ldquoTrial-and-errorrdquo OR ldquoGuess-and-checkrdquo method is usedhellipo Student must show evidence of three rounds of trial-and-error to receive credit for the
process One of the trials must result in the correct answero If the student uses this method heshe may cross out some trials and still receive full
credit if three trials are shown
ldquoRun-on math sentencerdquoo You may see this error when students simplify an expressiono An example is Simplify this expression (4+7)iquest 5
And the student writes this 4+7 = 11iquest 5 = 55 The student will NOT receive full credit because this math sentence says that
4+11 is 55 which is an incorrect statement ldquoExpressions vs equationsrdquohellip
o If a student is asked to provide an expression but instead provides an equation then the student will NOT receive full credit
Graphshellip (Graphs are part of the Grade 7 Statistics amp Probability Strand)o If a student is asked to provide a bar graph the bars MAY NOT TOUCH
ldquoRounding vs estimatingrdquohellipo If a question requires an estimated answer but the student calculates an answer using
the given values and then rounds the answer the student will NOT receive full credit Show your students the difference between rounding and estimating
ldquoCrossed-out workrdquohellipo If the student provides one legible response (and one response only) teachers should
score the response even if it has been crossed out If the student has written more than one response but has crossed some out teachers should score only the response that has not been crossed out
NAME _____________________________________ Day 3 GRADE 8
Problem 1
Rowan raised $640 in a charity walk last year This year he raised 15 more than he raised last year How much money did Rowan raise this year
Show your work
Answer $______________________
Problem 2
Countdown-to-the-Tests Mini Lesson for Day 4 TOPIC Rubrics
We score the short-response and extended-response questions on the NYS tests using the 2-Point and 3-Point Holistic Rubrics provided by NYSED
The following information applies to both Grade 7 and 8
GRADE 7 AND GRADE 8
Using the rubrics and the other information learned earlier of requirements that must be done when completing short-response and extended-response questions have the students use their skills to score questions
Have the students work independently to complete the problems for day 4
Once the papers are completed have two or three students volunteer to put their answers on transparencies or on newsprint FYIhellipthis would be a perfect time to use an ELMO if one is available in your school
Have the class discuss what score the paper should receive based on the rubrics and other knowledge they have of scoring papers
Now have students score their own papers Have them write their answer as Score A Have students write a justification for the score
Once this is completed have the students exchange papers and re-grade them to see if they score the papers the same This score is recorded as Score B Have students justify the score
R
P
N
S
Q
T
M
(4x-29)
(3x+12)
U
NAME _____________________________________ Day 4 GRADE 8
Problem 1 Tyrone travels internationally on business On a trip to Japan Tyrone uses the exchange rates in the tables shown below
US Dollar Japanese Yen$100 11519yen
Japanese Yen US Dollar1yen $0008681
What is the value of 75 US dollars in Japanese yen Round your answer to the nearest yen
Show your work
Answer ________ yen
Score Problem 1 using the 2-Point Holistic Rubric Score _______
______________________________________________________________________Problem 2 (8G4) AND (8G5) Lines SR and NU are parallel PART A
Find the value of x
Show your work
Answer _____________
PART B What is the measure in degrees ofangMPR Show your work
Answer _____________ degrees
Score Problem 2 using the 3-Point Holistic Rubric Score _______ Problem 3 Solve the following system of equations graphically
y = 2x ndash 5 y = -x + 1
Answer __________
Score Problem 2 using the 3-Point Holistic Rubric Score _______
2-Point Holistic Rubric
Countdown-to-the-Tests Mini Lesson for Day 5 TOPIC Tools (Protractor amp Ruler)
Each student must have a ruler and each Grade 7 student must also have a protractor for his or her exclusive use during the test In the past NYSED provided new plastic rulers and protractors Your buildingrsquos math specialist or test liaison received these tools Use these tools PRIOR to the state exam on May 5 and 6 so that your students are familiar and comfortable using these tools before they need them on the state exam Rulers and protractors will NOT be replaced by NYSED if they are lost or broken This will be the responsibility of the school This is the web address to find the SED guidelines for rulers and protractors httpwwwp12nysedgovapdasammathmathei-sam-11pdf
Grades 5-8 Mathematics Tests ndash Specifications for Rulers
1048707 Rulers may be constructed of plastic wood metal cardboard or other suitable material
1048707 Rulers must be between 6 and 12 long
1048707 Rulers must include inch to 1
16 subdivisions
1048707 Rulers must include centimeters with millimeter subdivisions
1048707 Rulers must be calibrated accurately with the RulerProtractor Calibration Sheet
Grades 5 and 7 Mathematics Tests ndash Specifications for Protractors
1048707 Protractors must be of clear plastic and measure no shorter than 3 15
16 in diameter and no longer than 4 3
4 in diameter
1048707 Protractors must be calibrated accurately with the RulerProtractor Calibration Sheet
If the ruler or protractor icon is shown on a particular question it means that the student MUST use this tool to complete the question
If the ruler or protractor icon is NOT shown on a particular question it means that the student should not use the math tools to solve the problem When this occurs the question will show [NOT DRAWN TO SCALE]
GRADE 8 Measurement Strand
Performance Indicator 7M1 is ldquocalculate distance using a map scalerdquo
(FYIhellipthis is a May-June PI for Grade 7 so it is tested on the Grade 8 exam)
City A City B
NAME ______________________________________ Day 5 GRADE 8MEASUREMENT STRANDProblem 1 (7M1) What is the actual distance between City A and City B on a map with
a scale of 12 inch = 40 miles Use your ruler to help you solve this problem
Show your work
Answer _______________ miles
--------------------------------------------------------------------------------------------------
Problem 2 Directions Use your ruler to help you solve this problem
Maria is planning a car trip from Niagara Falls to East Aurora
What is the approximate driving distance from Niagara Falls to East Aurora
ANSWER_____________
NAME _____________________________________ Day 6 GRADE 8ALGEBRA STRANDProblem 1 (7A10)
PART A Write the equation for the rule of the pattern in the table
Answer ________________________
PART B
Using the equation you wrote for the rule of the pattern in the table find the value of y when x is 12
Show your work
Answer ________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) Rashid wrote the sentence below
Forty-eight is greater than or equal to four plus the product of a certain number x and eleven
Write Rashidrsquos sentence as an algebraic inequality
Answer _____________________________________________________________
-------------------------------------------------------------------------------------------------Problem 3 (8A11)Write these expressions in factored form
a x2minus6 x+8
b n2+7n+10
c y2minus yminus6
Answer a ___________________ b ____________________ c____________________
x y1 82 133 184 23
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
NAME ______________________________________ Day 2 GRADE 8
Problem 1 Find the amount of simple interest earned if $7300 is invested for 8 years at a rate of 4
Answer _____________________________
Problem 2 If the outdoor temperature is77 deg F what is the temperature in Celsius Show your work
Answer __________________
Mathematics Reference Sheet ndash Grade 8
FORMULAS
_____________________________________________________________________________________
Simple Interest I = prt
_____________________________________________________________________________________
Distance Formula d = rt
_____________________________________________________________________________________
CONVERSIONS
Temperature Conversions
F=95C+32
C=59(Fminus32)
Measurement Conversions
1 mile = 5280 feet 1 yard = 3 feet
Countdown-to-the-Tests
Mini Lesson for Day 3 TOPIC Directions on test
Each year when we score the NYS tests we find student errors based on not following or not interpreting the directions correctly This mini lesson is designed to highlight some of those errors The following information applies to both Grade 7 and 8
GRADE 8
Multiple-choice questions
Encourage students to answer ALL of the multiple-choice questions Tell them to take an ldquoeducatedrdquo guess and to not leave any blanks
Students may do their work in Book 1and 2 that contains the multiple-choice questions Students may NOT use scrap paper for Book 1 and 2 Students will record answers on a separate scanning sheet so make sure students understand
that accuracy in recording answers is very important Only answers on the scanning sheet will be corrected Students must transfer their answers to
this sheet
Short-response and extended-response questions
If ldquoAnswer __________rdquo is providedhellipo If the student shows appropriate work arrives at a correct answer BUT writes an
incorrect answer on the answer blank the student may NOT receive full credito If a student fails to write the answer in the answer blank when the question requires
that work must be shown but shows appropriate work and clearly identifies a correct answer the student should still receive full credit
o If there is one numerical answer space provided and work is required a correct numerical answer with no work shown receives a score of 1
o If there are two numerical answer spaces provided and work is required for both parts then one correct numerical answer with no work shown receives a score of 0 If no work is shown the student must have BOTH numerical answers correct to receive a score of 1
o In a 3-point question that has two numerical answer spaces but work is required for only one of them then the student can receive a score of 2 if both numerical answers are correct but no work is shown
Encourage your students to always write their answers in the answer spaces provided
If ldquoOn the lines below explainhelliprdquo is providedhellipo If ruled lines are provided the student must write hisher explanation ON THOSE
LINES Mathematical work shown elsewhere on the page may NOT be considered unless the student explicitly points to the work as part of the answer
So train your students on the use of the ruled lines when lines are provided
If ldquoShow your workrdquo is requiredhellipo If a student does the work in other than the ldquoshow your workrdquo area that work may still
be scoredo If the question indicates ldquoshow your workrdquo a student will NOT receive full credit for a
correct numerical answer unless appropriate work is showno If the student shows appropriate work arrives at a correct answer BUT writes an
incorrect answer on the answer blank the student may NOT receive full credito If the question does not indicate for the students to show their work then teachers
may NOT score any work that the student shows
If ldquoTrial-and-errorrdquo OR ldquoGuess-and-checkrdquo method is usedhellipo Student must show evidence of three rounds of trial-and-error to receive credit for the
process One of the trials must result in the correct answero If the student uses this method heshe may cross out some trials and still receive full
credit if three trials are shown
ldquoRun-on math sentencerdquoo You may see this error when students simplify an expressiono An example is Simplify this expression (4+7)iquest 5
And the student writes this 4+7 = 11iquest 5 = 55 The student will NOT receive full credit because this math sentence says that
4+11 is 55 which is an incorrect statement ldquoExpressions vs equationsrdquohellip
o If a student is asked to provide an expression but instead provides an equation then the student will NOT receive full credit
Graphshellip (Graphs are part of the Grade 7 Statistics amp Probability Strand)o If a student is asked to provide a bar graph the bars MAY NOT TOUCH
ldquoRounding vs estimatingrdquohellipo If a question requires an estimated answer but the student calculates an answer using
the given values and then rounds the answer the student will NOT receive full credit Show your students the difference between rounding and estimating
ldquoCrossed-out workrdquohellipo If the student provides one legible response (and one response only) teachers should
score the response even if it has been crossed out If the student has written more than one response but has crossed some out teachers should score only the response that has not been crossed out
NAME _____________________________________ Day 3 GRADE 8
Problem 1
Rowan raised $640 in a charity walk last year This year he raised 15 more than he raised last year How much money did Rowan raise this year
Show your work
Answer $______________________
Problem 2
Countdown-to-the-Tests Mini Lesson for Day 4 TOPIC Rubrics
We score the short-response and extended-response questions on the NYS tests using the 2-Point and 3-Point Holistic Rubrics provided by NYSED
The following information applies to both Grade 7 and 8
GRADE 7 AND GRADE 8
Using the rubrics and the other information learned earlier of requirements that must be done when completing short-response and extended-response questions have the students use their skills to score questions
Have the students work independently to complete the problems for day 4
Once the papers are completed have two or three students volunteer to put their answers on transparencies or on newsprint FYIhellipthis would be a perfect time to use an ELMO if one is available in your school
Have the class discuss what score the paper should receive based on the rubrics and other knowledge they have of scoring papers
Now have students score their own papers Have them write their answer as Score A Have students write a justification for the score
Once this is completed have the students exchange papers and re-grade them to see if they score the papers the same This score is recorded as Score B Have students justify the score
R
P
N
S
Q
T
M
(4x-29)
(3x+12)
U
NAME _____________________________________ Day 4 GRADE 8
Problem 1 Tyrone travels internationally on business On a trip to Japan Tyrone uses the exchange rates in the tables shown below
US Dollar Japanese Yen$100 11519yen
Japanese Yen US Dollar1yen $0008681
What is the value of 75 US dollars in Japanese yen Round your answer to the nearest yen
Show your work
Answer ________ yen
Score Problem 1 using the 2-Point Holistic Rubric Score _______
______________________________________________________________________Problem 2 (8G4) AND (8G5) Lines SR and NU are parallel PART A
Find the value of x
Show your work
Answer _____________
PART B What is the measure in degrees ofangMPR Show your work
Answer _____________ degrees
Score Problem 2 using the 3-Point Holistic Rubric Score _______ Problem 3 Solve the following system of equations graphically
y = 2x ndash 5 y = -x + 1
Answer __________
Score Problem 2 using the 3-Point Holistic Rubric Score _______
2-Point Holistic Rubric
Countdown-to-the-Tests Mini Lesson for Day 5 TOPIC Tools (Protractor amp Ruler)
Each student must have a ruler and each Grade 7 student must also have a protractor for his or her exclusive use during the test In the past NYSED provided new plastic rulers and protractors Your buildingrsquos math specialist or test liaison received these tools Use these tools PRIOR to the state exam on May 5 and 6 so that your students are familiar and comfortable using these tools before they need them on the state exam Rulers and protractors will NOT be replaced by NYSED if they are lost or broken This will be the responsibility of the school This is the web address to find the SED guidelines for rulers and protractors httpwwwp12nysedgovapdasammathmathei-sam-11pdf
Grades 5-8 Mathematics Tests ndash Specifications for Rulers
1048707 Rulers may be constructed of plastic wood metal cardboard or other suitable material
1048707 Rulers must be between 6 and 12 long
1048707 Rulers must include inch to 1
16 subdivisions
1048707 Rulers must include centimeters with millimeter subdivisions
1048707 Rulers must be calibrated accurately with the RulerProtractor Calibration Sheet
Grades 5 and 7 Mathematics Tests ndash Specifications for Protractors
1048707 Protractors must be of clear plastic and measure no shorter than 3 15
16 in diameter and no longer than 4 3
4 in diameter
1048707 Protractors must be calibrated accurately with the RulerProtractor Calibration Sheet
If the ruler or protractor icon is shown on a particular question it means that the student MUST use this tool to complete the question
If the ruler or protractor icon is NOT shown on a particular question it means that the student should not use the math tools to solve the problem When this occurs the question will show [NOT DRAWN TO SCALE]
GRADE 8 Measurement Strand
Performance Indicator 7M1 is ldquocalculate distance using a map scalerdquo
(FYIhellipthis is a May-June PI for Grade 7 so it is tested on the Grade 8 exam)
City A City B
NAME ______________________________________ Day 5 GRADE 8MEASUREMENT STRANDProblem 1 (7M1) What is the actual distance between City A and City B on a map with
a scale of 12 inch = 40 miles Use your ruler to help you solve this problem
Show your work
Answer _______________ miles
--------------------------------------------------------------------------------------------------
Problem 2 Directions Use your ruler to help you solve this problem
Maria is planning a car trip from Niagara Falls to East Aurora
What is the approximate driving distance from Niagara Falls to East Aurora
ANSWER_____________
NAME _____________________________________ Day 6 GRADE 8ALGEBRA STRANDProblem 1 (7A10)
PART A Write the equation for the rule of the pattern in the table
Answer ________________________
PART B
Using the equation you wrote for the rule of the pattern in the table find the value of y when x is 12
Show your work
Answer ________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) Rashid wrote the sentence below
Forty-eight is greater than or equal to four plus the product of a certain number x and eleven
Write Rashidrsquos sentence as an algebraic inequality
Answer _____________________________________________________________
-------------------------------------------------------------------------------------------------Problem 3 (8A11)Write these expressions in factored form
a x2minus6 x+8
b n2+7n+10
c y2minus yminus6
Answer a ___________________ b ____________________ c____________________
x y1 82 133 184 23
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
Mathematics Reference Sheet ndash Grade 8
FORMULAS
_____________________________________________________________________________________
Simple Interest I = prt
_____________________________________________________________________________________
Distance Formula d = rt
_____________________________________________________________________________________
CONVERSIONS
Temperature Conversions
F=95C+32
C=59(Fminus32)
Measurement Conversions
1 mile = 5280 feet 1 yard = 3 feet
Countdown-to-the-Tests
Mini Lesson for Day 3 TOPIC Directions on test
Each year when we score the NYS tests we find student errors based on not following or not interpreting the directions correctly This mini lesson is designed to highlight some of those errors The following information applies to both Grade 7 and 8
GRADE 8
Multiple-choice questions
Encourage students to answer ALL of the multiple-choice questions Tell them to take an ldquoeducatedrdquo guess and to not leave any blanks
Students may do their work in Book 1and 2 that contains the multiple-choice questions Students may NOT use scrap paper for Book 1 and 2 Students will record answers on a separate scanning sheet so make sure students understand
that accuracy in recording answers is very important Only answers on the scanning sheet will be corrected Students must transfer their answers to
this sheet
Short-response and extended-response questions
If ldquoAnswer __________rdquo is providedhellipo If the student shows appropriate work arrives at a correct answer BUT writes an
incorrect answer on the answer blank the student may NOT receive full credito If a student fails to write the answer in the answer blank when the question requires
that work must be shown but shows appropriate work and clearly identifies a correct answer the student should still receive full credit
o If there is one numerical answer space provided and work is required a correct numerical answer with no work shown receives a score of 1
o If there are two numerical answer spaces provided and work is required for both parts then one correct numerical answer with no work shown receives a score of 0 If no work is shown the student must have BOTH numerical answers correct to receive a score of 1
o In a 3-point question that has two numerical answer spaces but work is required for only one of them then the student can receive a score of 2 if both numerical answers are correct but no work is shown
Encourage your students to always write their answers in the answer spaces provided
If ldquoOn the lines below explainhelliprdquo is providedhellipo If ruled lines are provided the student must write hisher explanation ON THOSE
LINES Mathematical work shown elsewhere on the page may NOT be considered unless the student explicitly points to the work as part of the answer
So train your students on the use of the ruled lines when lines are provided
If ldquoShow your workrdquo is requiredhellipo If a student does the work in other than the ldquoshow your workrdquo area that work may still
be scoredo If the question indicates ldquoshow your workrdquo a student will NOT receive full credit for a
correct numerical answer unless appropriate work is showno If the student shows appropriate work arrives at a correct answer BUT writes an
incorrect answer on the answer blank the student may NOT receive full credito If the question does not indicate for the students to show their work then teachers
may NOT score any work that the student shows
If ldquoTrial-and-errorrdquo OR ldquoGuess-and-checkrdquo method is usedhellipo Student must show evidence of three rounds of trial-and-error to receive credit for the
process One of the trials must result in the correct answero If the student uses this method heshe may cross out some trials and still receive full
credit if three trials are shown
ldquoRun-on math sentencerdquoo You may see this error when students simplify an expressiono An example is Simplify this expression (4+7)iquest 5
And the student writes this 4+7 = 11iquest 5 = 55 The student will NOT receive full credit because this math sentence says that
4+11 is 55 which is an incorrect statement ldquoExpressions vs equationsrdquohellip
o If a student is asked to provide an expression but instead provides an equation then the student will NOT receive full credit
Graphshellip (Graphs are part of the Grade 7 Statistics amp Probability Strand)o If a student is asked to provide a bar graph the bars MAY NOT TOUCH
ldquoRounding vs estimatingrdquohellipo If a question requires an estimated answer but the student calculates an answer using
the given values and then rounds the answer the student will NOT receive full credit Show your students the difference between rounding and estimating
ldquoCrossed-out workrdquohellipo If the student provides one legible response (and one response only) teachers should
score the response even if it has been crossed out If the student has written more than one response but has crossed some out teachers should score only the response that has not been crossed out
NAME _____________________________________ Day 3 GRADE 8
Problem 1
Rowan raised $640 in a charity walk last year This year he raised 15 more than he raised last year How much money did Rowan raise this year
Show your work
Answer $______________________
Problem 2
Countdown-to-the-Tests Mini Lesson for Day 4 TOPIC Rubrics
We score the short-response and extended-response questions on the NYS tests using the 2-Point and 3-Point Holistic Rubrics provided by NYSED
The following information applies to both Grade 7 and 8
GRADE 7 AND GRADE 8
Using the rubrics and the other information learned earlier of requirements that must be done when completing short-response and extended-response questions have the students use their skills to score questions
Have the students work independently to complete the problems for day 4
Once the papers are completed have two or three students volunteer to put their answers on transparencies or on newsprint FYIhellipthis would be a perfect time to use an ELMO if one is available in your school
Have the class discuss what score the paper should receive based on the rubrics and other knowledge they have of scoring papers
Now have students score their own papers Have them write their answer as Score A Have students write a justification for the score
Once this is completed have the students exchange papers and re-grade them to see if they score the papers the same This score is recorded as Score B Have students justify the score
R
P
N
S
Q
T
M
(4x-29)
(3x+12)
U
NAME _____________________________________ Day 4 GRADE 8
Problem 1 Tyrone travels internationally on business On a trip to Japan Tyrone uses the exchange rates in the tables shown below
US Dollar Japanese Yen$100 11519yen
Japanese Yen US Dollar1yen $0008681
What is the value of 75 US dollars in Japanese yen Round your answer to the nearest yen
Show your work
Answer ________ yen
Score Problem 1 using the 2-Point Holistic Rubric Score _______
______________________________________________________________________Problem 2 (8G4) AND (8G5) Lines SR and NU are parallel PART A
Find the value of x
Show your work
Answer _____________
PART B What is the measure in degrees ofangMPR Show your work
Answer _____________ degrees
Score Problem 2 using the 3-Point Holistic Rubric Score _______ Problem 3 Solve the following system of equations graphically
y = 2x ndash 5 y = -x + 1
Answer __________
Score Problem 2 using the 3-Point Holistic Rubric Score _______
2-Point Holistic Rubric
Countdown-to-the-Tests Mini Lesson for Day 5 TOPIC Tools (Protractor amp Ruler)
Each student must have a ruler and each Grade 7 student must also have a protractor for his or her exclusive use during the test In the past NYSED provided new plastic rulers and protractors Your buildingrsquos math specialist or test liaison received these tools Use these tools PRIOR to the state exam on May 5 and 6 so that your students are familiar and comfortable using these tools before they need them on the state exam Rulers and protractors will NOT be replaced by NYSED if they are lost or broken This will be the responsibility of the school This is the web address to find the SED guidelines for rulers and protractors httpwwwp12nysedgovapdasammathmathei-sam-11pdf
Grades 5-8 Mathematics Tests ndash Specifications for Rulers
1048707 Rulers may be constructed of plastic wood metal cardboard or other suitable material
1048707 Rulers must be between 6 and 12 long
1048707 Rulers must include inch to 1
16 subdivisions
1048707 Rulers must include centimeters with millimeter subdivisions
1048707 Rulers must be calibrated accurately with the RulerProtractor Calibration Sheet
Grades 5 and 7 Mathematics Tests ndash Specifications for Protractors
1048707 Protractors must be of clear plastic and measure no shorter than 3 15
16 in diameter and no longer than 4 3
4 in diameter
1048707 Protractors must be calibrated accurately with the RulerProtractor Calibration Sheet
If the ruler or protractor icon is shown on a particular question it means that the student MUST use this tool to complete the question
If the ruler or protractor icon is NOT shown on a particular question it means that the student should not use the math tools to solve the problem When this occurs the question will show [NOT DRAWN TO SCALE]
GRADE 8 Measurement Strand
Performance Indicator 7M1 is ldquocalculate distance using a map scalerdquo
(FYIhellipthis is a May-June PI for Grade 7 so it is tested on the Grade 8 exam)
City A City B
NAME ______________________________________ Day 5 GRADE 8MEASUREMENT STRANDProblem 1 (7M1) What is the actual distance between City A and City B on a map with
a scale of 12 inch = 40 miles Use your ruler to help you solve this problem
Show your work
Answer _______________ miles
--------------------------------------------------------------------------------------------------
Problem 2 Directions Use your ruler to help you solve this problem
Maria is planning a car trip from Niagara Falls to East Aurora
What is the approximate driving distance from Niagara Falls to East Aurora
ANSWER_____________
NAME _____________________________________ Day 6 GRADE 8ALGEBRA STRANDProblem 1 (7A10)
PART A Write the equation for the rule of the pattern in the table
Answer ________________________
PART B
Using the equation you wrote for the rule of the pattern in the table find the value of y when x is 12
Show your work
Answer ________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) Rashid wrote the sentence below
Forty-eight is greater than or equal to four plus the product of a certain number x and eleven
Write Rashidrsquos sentence as an algebraic inequality
Answer _____________________________________________________________
-------------------------------------------------------------------------------------------------Problem 3 (8A11)Write these expressions in factored form
a x2minus6 x+8
b n2+7n+10
c y2minus yminus6
Answer a ___________________ b ____________________ c____________________
x y1 82 133 184 23
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
Mini Lesson for Day 3 TOPIC Directions on test
Each year when we score the NYS tests we find student errors based on not following or not interpreting the directions correctly This mini lesson is designed to highlight some of those errors The following information applies to both Grade 7 and 8
GRADE 8
Multiple-choice questions
Encourage students to answer ALL of the multiple-choice questions Tell them to take an ldquoeducatedrdquo guess and to not leave any blanks
Students may do their work in Book 1and 2 that contains the multiple-choice questions Students may NOT use scrap paper for Book 1 and 2 Students will record answers on a separate scanning sheet so make sure students understand
that accuracy in recording answers is very important Only answers on the scanning sheet will be corrected Students must transfer their answers to
this sheet
Short-response and extended-response questions
If ldquoAnswer __________rdquo is providedhellipo If the student shows appropriate work arrives at a correct answer BUT writes an
incorrect answer on the answer blank the student may NOT receive full credito If a student fails to write the answer in the answer blank when the question requires
that work must be shown but shows appropriate work and clearly identifies a correct answer the student should still receive full credit
o If there is one numerical answer space provided and work is required a correct numerical answer with no work shown receives a score of 1
o If there are two numerical answer spaces provided and work is required for both parts then one correct numerical answer with no work shown receives a score of 0 If no work is shown the student must have BOTH numerical answers correct to receive a score of 1
o In a 3-point question that has two numerical answer spaces but work is required for only one of them then the student can receive a score of 2 if both numerical answers are correct but no work is shown
Encourage your students to always write their answers in the answer spaces provided
If ldquoOn the lines below explainhelliprdquo is providedhellipo If ruled lines are provided the student must write hisher explanation ON THOSE
LINES Mathematical work shown elsewhere on the page may NOT be considered unless the student explicitly points to the work as part of the answer
So train your students on the use of the ruled lines when lines are provided
If ldquoShow your workrdquo is requiredhellipo If a student does the work in other than the ldquoshow your workrdquo area that work may still
be scoredo If the question indicates ldquoshow your workrdquo a student will NOT receive full credit for a
correct numerical answer unless appropriate work is showno If the student shows appropriate work arrives at a correct answer BUT writes an
incorrect answer on the answer blank the student may NOT receive full credito If the question does not indicate for the students to show their work then teachers
may NOT score any work that the student shows
If ldquoTrial-and-errorrdquo OR ldquoGuess-and-checkrdquo method is usedhellipo Student must show evidence of three rounds of trial-and-error to receive credit for the
process One of the trials must result in the correct answero If the student uses this method heshe may cross out some trials and still receive full
credit if three trials are shown
ldquoRun-on math sentencerdquoo You may see this error when students simplify an expressiono An example is Simplify this expression (4+7)iquest 5
And the student writes this 4+7 = 11iquest 5 = 55 The student will NOT receive full credit because this math sentence says that
4+11 is 55 which is an incorrect statement ldquoExpressions vs equationsrdquohellip
o If a student is asked to provide an expression but instead provides an equation then the student will NOT receive full credit
Graphshellip (Graphs are part of the Grade 7 Statistics amp Probability Strand)o If a student is asked to provide a bar graph the bars MAY NOT TOUCH
ldquoRounding vs estimatingrdquohellipo If a question requires an estimated answer but the student calculates an answer using
the given values and then rounds the answer the student will NOT receive full credit Show your students the difference between rounding and estimating
ldquoCrossed-out workrdquohellipo If the student provides one legible response (and one response only) teachers should
score the response even if it has been crossed out If the student has written more than one response but has crossed some out teachers should score only the response that has not been crossed out
NAME _____________________________________ Day 3 GRADE 8
Problem 1
Rowan raised $640 in a charity walk last year This year he raised 15 more than he raised last year How much money did Rowan raise this year
Show your work
Answer $______________________
Problem 2
Countdown-to-the-Tests Mini Lesson for Day 4 TOPIC Rubrics
We score the short-response and extended-response questions on the NYS tests using the 2-Point and 3-Point Holistic Rubrics provided by NYSED
The following information applies to both Grade 7 and 8
GRADE 7 AND GRADE 8
Using the rubrics and the other information learned earlier of requirements that must be done when completing short-response and extended-response questions have the students use their skills to score questions
Have the students work independently to complete the problems for day 4
Once the papers are completed have two or three students volunteer to put their answers on transparencies or on newsprint FYIhellipthis would be a perfect time to use an ELMO if one is available in your school
Have the class discuss what score the paper should receive based on the rubrics and other knowledge they have of scoring papers
Now have students score their own papers Have them write their answer as Score A Have students write a justification for the score
Once this is completed have the students exchange papers and re-grade them to see if they score the papers the same This score is recorded as Score B Have students justify the score
R
P
N
S
Q
T
M
(4x-29)
(3x+12)
U
NAME _____________________________________ Day 4 GRADE 8
Problem 1 Tyrone travels internationally on business On a trip to Japan Tyrone uses the exchange rates in the tables shown below
US Dollar Japanese Yen$100 11519yen
Japanese Yen US Dollar1yen $0008681
What is the value of 75 US dollars in Japanese yen Round your answer to the nearest yen
Show your work
Answer ________ yen
Score Problem 1 using the 2-Point Holistic Rubric Score _______
______________________________________________________________________Problem 2 (8G4) AND (8G5) Lines SR and NU are parallel PART A
Find the value of x
Show your work
Answer _____________
PART B What is the measure in degrees ofangMPR Show your work
Answer _____________ degrees
Score Problem 2 using the 3-Point Holistic Rubric Score _______ Problem 3 Solve the following system of equations graphically
y = 2x ndash 5 y = -x + 1
Answer __________
Score Problem 2 using the 3-Point Holistic Rubric Score _______
2-Point Holistic Rubric
Countdown-to-the-Tests Mini Lesson for Day 5 TOPIC Tools (Protractor amp Ruler)
Each student must have a ruler and each Grade 7 student must also have a protractor for his or her exclusive use during the test In the past NYSED provided new plastic rulers and protractors Your buildingrsquos math specialist or test liaison received these tools Use these tools PRIOR to the state exam on May 5 and 6 so that your students are familiar and comfortable using these tools before they need them on the state exam Rulers and protractors will NOT be replaced by NYSED if they are lost or broken This will be the responsibility of the school This is the web address to find the SED guidelines for rulers and protractors httpwwwp12nysedgovapdasammathmathei-sam-11pdf
Grades 5-8 Mathematics Tests ndash Specifications for Rulers
1048707 Rulers may be constructed of plastic wood metal cardboard or other suitable material
1048707 Rulers must be between 6 and 12 long
1048707 Rulers must include inch to 1
16 subdivisions
1048707 Rulers must include centimeters with millimeter subdivisions
1048707 Rulers must be calibrated accurately with the RulerProtractor Calibration Sheet
Grades 5 and 7 Mathematics Tests ndash Specifications for Protractors
1048707 Protractors must be of clear plastic and measure no shorter than 3 15
16 in diameter and no longer than 4 3
4 in diameter
1048707 Protractors must be calibrated accurately with the RulerProtractor Calibration Sheet
If the ruler or protractor icon is shown on a particular question it means that the student MUST use this tool to complete the question
If the ruler or protractor icon is NOT shown on a particular question it means that the student should not use the math tools to solve the problem When this occurs the question will show [NOT DRAWN TO SCALE]
GRADE 8 Measurement Strand
Performance Indicator 7M1 is ldquocalculate distance using a map scalerdquo
(FYIhellipthis is a May-June PI for Grade 7 so it is tested on the Grade 8 exam)
City A City B
NAME ______________________________________ Day 5 GRADE 8MEASUREMENT STRANDProblem 1 (7M1) What is the actual distance between City A and City B on a map with
a scale of 12 inch = 40 miles Use your ruler to help you solve this problem
Show your work
Answer _______________ miles
--------------------------------------------------------------------------------------------------
Problem 2 Directions Use your ruler to help you solve this problem
Maria is planning a car trip from Niagara Falls to East Aurora
What is the approximate driving distance from Niagara Falls to East Aurora
ANSWER_____________
NAME _____________________________________ Day 6 GRADE 8ALGEBRA STRANDProblem 1 (7A10)
PART A Write the equation for the rule of the pattern in the table
Answer ________________________
PART B
Using the equation you wrote for the rule of the pattern in the table find the value of y when x is 12
Show your work
Answer ________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) Rashid wrote the sentence below
Forty-eight is greater than or equal to four plus the product of a certain number x and eleven
Write Rashidrsquos sentence as an algebraic inequality
Answer _____________________________________________________________
-------------------------------------------------------------------------------------------------Problem 3 (8A11)Write these expressions in factored form
a x2minus6 x+8
b n2+7n+10
c y2minus yminus6
Answer a ___________________ b ____________________ c____________________
x y1 82 133 184 23
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
process One of the trials must result in the correct answero If the student uses this method heshe may cross out some trials and still receive full
credit if three trials are shown
ldquoRun-on math sentencerdquoo You may see this error when students simplify an expressiono An example is Simplify this expression (4+7)iquest 5
And the student writes this 4+7 = 11iquest 5 = 55 The student will NOT receive full credit because this math sentence says that
4+11 is 55 which is an incorrect statement ldquoExpressions vs equationsrdquohellip
o If a student is asked to provide an expression but instead provides an equation then the student will NOT receive full credit
Graphshellip (Graphs are part of the Grade 7 Statistics amp Probability Strand)o If a student is asked to provide a bar graph the bars MAY NOT TOUCH
ldquoRounding vs estimatingrdquohellipo If a question requires an estimated answer but the student calculates an answer using
the given values and then rounds the answer the student will NOT receive full credit Show your students the difference between rounding and estimating
ldquoCrossed-out workrdquohellipo If the student provides one legible response (and one response only) teachers should
score the response even if it has been crossed out If the student has written more than one response but has crossed some out teachers should score only the response that has not been crossed out
NAME _____________________________________ Day 3 GRADE 8
Problem 1
Rowan raised $640 in a charity walk last year This year he raised 15 more than he raised last year How much money did Rowan raise this year
Show your work
Answer $______________________
Problem 2
Countdown-to-the-Tests Mini Lesson for Day 4 TOPIC Rubrics
We score the short-response and extended-response questions on the NYS tests using the 2-Point and 3-Point Holistic Rubrics provided by NYSED
The following information applies to both Grade 7 and 8
GRADE 7 AND GRADE 8
Using the rubrics and the other information learned earlier of requirements that must be done when completing short-response and extended-response questions have the students use their skills to score questions
Have the students work independently to complete the problems for day 4
Once the papers are completed have two or three students volunteer to put their answers on transparencies or on newsprint FYIhellipthis would be a perfect time to use an ELMO if one is available in your school
Have the class discuss what score the paper should receive based on the rubrics and other knowledge they have of scoring papers
Now have students score their own papers Have them write their answer as Score A Have students write a justification for the score
Once this is completed have the students exchange papers and re-grade them to see if they score the papers the same This score is recorded as Score B Have students justify the score
R
P
N
S
Q
T
M
(4x-29)
(3x+12)
U
NAME _____________________________________ Day 4 GRADE 8
Problem 1 Tyrone travels internationally on business On a trip to Japan Tyrone uses the exchange rates in the tables shown below
US Dollar Japanese Yen$100 11519yen
Japanese Yen US Dollar1yen $0008681
What is the value of 75 US dollars in Japanese yen Round your answer to the nearest yen
Show your work
Answer ________ yen
Score Problem 1 using the 2-Point Holistic Rubric Score _______
______________________________________________________________________Problem 2 (8G4) AND (8G5) Lines SR and NU are parallel PART A
Find the value of x
Show your work
Answer _____________
PART B What is the measure in degrees ofangMPR Show your work
Answer _____________ degrees
Score Problem 2 using the 3-Point Holistic Rubric Score _______ Problem 3 Solve the following system of equations graphically
y = 2x ndash 5 y = -x + 1
Answer __________
Score Problem 2 using the 3-Point Holistic Rubric Score _______
2-Point Holistic Rubric
Countdown-to-the-Tests Mini Lesson for Day 5 TOPIC Tools (Protractor amp Ruler)
Each student must have a ruler and each Grade 7 student must also have a protractor for his or her exclusive use during the test In the past NYSED provided new plastic rulers and protractors Your buildingrsquos math specialist or test liaison received these tools Use these tools PRIOR to the state exam on May 5 and 6 so that your students are familiar and comfortable using these tools before they need them on the state exam Rulers and protractors will NOT be replaced by NYSED if they are lost or broken This will be the responsibility of the school This is the web address to find the SED guidelines for rulers and protractors httpwwwp12nysedgovapdasammathmathei-sam-11pdf
Grades 5-8 Mathematics Tests ndash Specifications for Rulers
1048707 Rulers may be constructed of plastic wood metal cardboard or other suitable material
1048707 Rulers must be between 6 and 12 long
1048707 Rulers must include inch to 1
16 subdivisions
1048707 Rulers must include centimeters with millimeter subdivisions
1048707 Rulers must be calibrated accurately with the RulerProtractor Calibration Sheet
Grades 5 and 7 Mathematics Tests ndash Specifications for Protractors
1048707 Protractors must be of clear plastic and measure no shorter than 3 15
16 in diameter and no longer than 4 3
4 in diameter
1048707 Protractors must be calibrated accurately with the RulerProtractor Calibration Sheet
If the ruler or protractor icon is shown on a particular question it means that the student MUST use this tool to complete the question
If the ruler or protractor icon is NOT shown on a particular question it means that the student should not use the math tools to solve the problem When this occurs the question will show [NOT DRAWN TO SCALE]
GRADE 8 Measurement Strand
Performance Indicator 7M1 is ldquocalculate distance using a map scalerdquo
(FYIhellipthis is a May-June PI for Grade 7 so it is tested on the Grade 8 exam)
City A City B
NAME ______________________________________ Day 5 GRADE 8MEASUREMENT STRANDProblem 1 (7M1) What is the actual distance between City A and City B on a map with
a scale of 12 inch = 40 miles Use your ruler to help you solve this problem
Show your work
Answer _______________ miles
--------------------------------------------------------------------------------------------------
Problem 2 Directions Use your ruler to help you solve this problem
Maria is planning a car trip from Niagara Falls to East Aurora
What is the approximate driving distance from Niagara Falls to East Aurora
ANSWER_____________
NAME _____________________________________ Day 6 GRADE 8ALGEBRA STRANDProblem 1 (7A10)
PART A Write the equation for the rule of the pattern in the table
Answer ________________________
PART B
Using the equation you wrote for the rule of the pattern in the table find the value of y when x is 12
Show your work
Answer ________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) Rashid wrote the sentence below
Forty-eight is greater than or equal to four plus the product of a certain number x and eleven
Write Rashidrsquos sentence as an algebraic inequality
Answer _____________________________________________________________
-------------------------------------------------------------------------------------------------Problem 3 (8A11)Write these expressions in factored form
a x2minus6 x+8
b n2+7n+10
c y2minus yminus6
Answer a ___________________ b ____________________ c____________________
x y1 82 133 184 23
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
NAME _____________________________________ Day 3 GRADE 8
Problem 1
Rowan raised $640 in a charity walk last year This year he raised 15 more than he raised last year How much money did Rowan raise this year
Show your work
Answer $______________________
Problem 2
Countdown-to-the-Tests Mini Lesson for Day 4 TOPIC Rubrics
We score the short-response and extended-response questions on the NYS tests using the 2-Point and 3-Point Holistic Rubrics provided by NYSED
The following information applies to both Grade 7 and 8
GRADE 7 AND GRADE 8
Using the rubrics and the other information learned earlier of requirements that must be done when completing short-response and extended-response questions have the students use their skills to score questions
Have the students work independently to complete the problems for day 4
Once the papers are completed have two or three students volunteer to put their answers on transparencies or on newsprint FYIhellipthis would be a perfect time to use an ELMO if one is available in your school
Have the class discuss what score the paper should receive based on the rubrics and other knowledge they have of scoring papers
Now have students score their own papers Have them write their answer as Score A Have students write a justification for the score
Once this is completed have the students exchange papers and re-grade them to see if they score the papers the same This score is recorded as Score B Have students justify the score
R
P
N
S
Q
T
M
(4x-29)
(3x+12)
U
NAME _____________________________________ Day 4 GRADE 8
Problem 1 Tyrone travels internationally on business On a trip to Japan Tyrone uses the exchange rates in the tables shown below
US Dollar Japanese Yen$100 11519yen
Japanese Yen US Dollar1yen $0008681
What is the value of 75 US dollars in Japanese yen Round your answer to the nearest yen
Show your work
Answer ________ yen
Score Problem 1 using the 2-Point Holistic Rubric Score _______
______________________________________________________________________Problem 2 (8G4) AND (8G5) Lines SR and NU are parallel PART A
Find the value of x
Show your work
Answer _____________
PART B What is the measure in degrees ofangMPR Show your work
Answer _____________ degrees
Score Problem 2 using the 3-Point Holistic Rubric Score _______ Problem 3 Solve the following system of equations graphically
y = 2x ndash 5 y = -x + 1
Answer __________
Score Problem 2 using the 3-Point Holistic Rubric Score _______
2-Point Holistic Rubric
Countdown-to-the-Tests Mini Lesson for Day 5 TOPIC Tools (Protractor amp Ruler)
Each student must have a ruler and each Grade 7 student must also have a protractor for his or her exclusive use during the test In the past NYSED provided new plastic rulers and protractors Your buildingrsquos math specialist or test liaison received these tools Use these tools PRIOR to the state exam on May 5 and 6 so that your students are familiar and comfortable using these tools before they need them on the state exam Rulers and protractors will NOT be replaced by NYSED if they are lost or broken This will be the responsibility of the school This is the web address to find the SED guidelines for rulers and protractors httpwwwp12nysedgovapdasammathmathei-sam-11pdf
Grades 5-8 Mathematics Tests ndash Specifications for Rulers
1048707 Rulers may be constructed of plastic wood metal cardboard or other suitable material
1048707 Rulers must be between 6 and 12 long
1048707 Rulers must include inch to 1
16 subdivisions
1048707 Rulers must include centimeters with millimeter subdivisions
1048707 Rulers must be calibrated accurately with the RulerProtractor Calibration Sheet
Grades 5 and 7 Mathematics Tests ndash Specifications for Protractors
1048707 Protractors must be of clear plastic and measure no shorter than 3 15
16 in diameter and no longer than 4 3
4 in diameter
1048707 Protractors must be calibrated accurately with the RulerProtractor Calibration Sheet
If the ruler or protractor icon is shown on a particular question it means that the student MUST use this tool to complete the question
If the ruler or protractor icon is NOT shown on a particular question it means that the student should not use the math tools to solve the problem When this occurs the question will show [NOT DRAWN TO SCALE]
GRADE 8 Measurement Strand
Performance Indicator 7M1 is ldquocalculate distance using a map scalerdquo
(FYIhellipthis is a May-June PI for Grade 7 so it is tested on the Grade 8 exam)
City A City B
NAME ______________________________________ Day 5 GRADE 8MEASUREMENT STRANDProblem 1 (7M1) What is the actual distance between City A and City B on a map with
a scale of 12 inch = 40 miles Use your ruler to help you solve this problem
Show your work
Answer _______________ miles
--------------------------------------------------------------------------------------------------
Problem 2 Directions Use your ruler to help you solve this problem
Maria is planning a car trip from Niagara Falls to East Aurora
What is the approximate driving distance from Niagara Falls to East Aurora
ANSWER_____________
NAME _____________________________________ Day 6 GRADE 8ALGEBRA STRANDProblem 1 (7A10)
PART A Write the equation for the rule of the pattern in the table
Answer ________________________
PART B
Using the equation you wrote for the rule of the pattern in the table find the value of y when x is 12
Show your work
Answer ________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) Rashid wrote the sentence below
Forty-eight is greater than or equal to four plus the product of a certain number x and eleven
Write Rashidrsquos sentence as an algebraic inequality
Answer _____________________________________________________________
-------------------------------------------------------------------------------------------------Problem 3 (8A11)Write these expressions in factored form
a x2minus6 x+8
b n2+7n+10
c y2minus yminus6
Answer a ___________________ b ____________________ c____________________
x y1 82 133 184 23
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
Countdown-to-the-Tests Mini Lesson for Day 4 TOPIC Rubrics
We score the short-response and extended-response questions on the NYS tests using the 2-Point and 3-Point Holistic Rubrics provided by NYSED
The following information applies to both Grade 7 and 8
GRADE 7 AND GRADE 8
Using the rubrics and the other information learned earlier of requirements that must be done when completing short-response and extended-response questions have the students use their skills to score questions
Have the students work independently to complete the problems for day 4
Once the papers are completed have two or three students volunteer to put their answers on transparencies or on newsprint FYIhellipthis would be a perfect time to use an ELMO if one is available in your school
Have the class discuss what score the paper should receive based on the rubrics and other knowledge they have of scoring papers
Now have students score their own papers Have them write their answer as Score A Have students write a justification for the score
Once this is completed have the students exchange papers and re-grade them to see if they score the papers the same This score is recorded as Score B Have students justify the score
R
P
N
S
Q
T
M
(4x-29)
(3x+12)
U
NAME _____________________________________ Day 4 GRADE 8
Problem 1 Tyrone travels internationally on business On a trip to Japan Tyrone uses the exchange rates in the tables shown below
US Dollar Japanese Yen$100 11519yen
Japanese Yen US Dollar1yen $0008681
What is the value of 75 US dollars in Japanese yen Round your answer to the nearest yen
Show your work
Answer ________ yen
Score Problem 1 using the 2-Point Holistic Rubric Score _______
______________________________________________________________________Problem 2 (8G4) AND (8G5) Lines SR and NU are parallel PART A
Find the value of x
Show your work
Answer _____________
PART B What is the measure in degrees ofangMPR Show your work
Answer _____________ degrees
Score Problem 2 using the 3-Point Holistic Rubric Score _______ Problem 3 Solve the following system of equations graphically
y = 2x ndash 5 y = -x + 1
Answer __________
Score Problem 2 using the 3-Point Holistic Rubric Score _______
2-Point Holistic Rubric
Countdown-to-the-Tests Mini Lesson for Day 5 TOPIC Tools (Protractor amp Ruler)
Each student must have a ruler and each Grade 7 student must also have a protractor for his or her exclusive use during the test In the past NYSED provided new plastic rulers and protractors Your buildingrsquos math specialist or test liaison received these tools Use these tools PRIOR to the state exam on May 5 and 6 so that your students are familiar and comfortable using these tools before they need them on the state exam Rulers and protractors will NOT be replaced by NYSED if they are lost or broken This will be the responsibility of the school This is the web address to find the SED guidelines for rulers and protractors httpwwwp12nysedgovapdasammathmathei-sam-11pdf
Grades 5-8 Mathematics Tests ndash Specifications for Rulers
1048707 Rulers may be constructed of plastic wood metal cardboard or other suitable material
1048707 Rulers must be between 6 and 12 long
1048707 Rulers must include inch to 1
16 subdivisions
1048707 Rulers must include centimeters with millimeter subdivisions
1048707 Rulers must be calibrated accurately with the RulerProtractor Calibration Sheet
Grades 5 and 7 Mathematics Tests ndash Specifications for Protractors
1048707 Protractors must be of clear plastic and measure no shorter than 3 15
16 in diameter and no longer than 4 3
4 in diameter
1048707 Protractors must be calibrated accurately with the RulerProtractor Calibration Sheet
If the ruler or protractor icon is shown on a particular question it means that the student MUST use this tool to complete the question
If the ruler or protractor icon is NOT shown on a particular question it means that the student should not use the math tools to solve the problem When this occurs the question will show [NOT DRAWN TO SCALE]
GRADE 8 Measurement Strand
Performance Indicator 7M1 is ldquocalculate distance using a map scalerdquo
(FYIhellipthis is a May-June PI for Grade 7 so it is tested on the Grade 8 exam)
City A City B
NAME ______________________________________ Day 5 GRADE 8MEASUREMENT STRANDProblem 1 (7M1) What is the actual distance between City A and City B on a map with
a scale of 12 inch = 40 miles Use your ruler to help you solve this problem
Show your work
Answer _______________ miles
--------------------------------------------------------------------------------------------------
Problem 2 Directions Use your ruler to help you solve this problem
Maria is planning a car trip from Niagara Falls to East Aurora
What is the approximate driving distance from Niagara Falls to East Aurora
ANSWER_____________
NAME _____________________________________ Day 6 GRADE 8ALGEBRA STRANDProblem 1 (7A10)
PART A Write the equation for the rule of the pattern in the table
Answer ________________________
PART B
Using the equation you wrote for the rule of the pattern in the table find the value of y when x is 12
Show your work
Answer ________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) Rashid wrote the sentence below
Forty-eight is greater than or equal to four plus the product of a certain number x and eleven
Write Rashidrsquos sentence as an algebraic inequality
Answer _____________________________________________________________
-------------------------------------------------------------------------------------------------Problem 3 (8A11)Write these expressions in factored form
a x2minus6 x+8
b n2+7n+10
c y2minus yminus6
Answer a ___________________ b ____________________ c____________________
x y1 82 133 184 23
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
R
P
N
S
Q
T
M
(4x-29)
(3x+12)
U
NAME _____________________________________ Day 4 GRADE 8
Problem 1 Tyrone travels internationally on business On a trip to Japan Tyrone uses the exchange rates in the tables shown below
US Dollar Japanese Yen$100 11519yen
Japanese Yen US Dollar1yen $0008681
What is the value of 75 US dollars in Japanese yen Round your answer to the nearest yen
Show your work
Answer ________ yen
Score Problem 1 using the 2-Point Holistic Rubric Score _______
______________________________________________________________________Problem 2 (8G4) AND (8G5) Lines SR and NU are parallel PART A
Find the value of x
Show your work
Answer _____________
PART B What is the measure in degrees ofangMPR Show your work
Answer _____________ degrees
Score Problem 2 using the 3-Point Holistic Rubric Score _______ Problem 3 Solve the following system of equations graphically
y = 2x ndash 5 y = -x + 1
Answer __________
Score Problem 2 using the 3-Point Holistic Rubric Score _______
2-Point Holistic Rubric
Countdown-to-the-Tests Mini Lesson for Day 5 TOPIC Tools (Protractor amp Ruler)
Each student must have a ruler and each Grade 7 student must also have a protractor for his or her exclusive use during the test In the past NYSED provided new plastic rulers and protractors Your buildingrsquos math specialist or test liaison received these tools Use these tools PRIOR to the state exam on May 5 and 6 so that your students are familiar and comfortable using these tools before they need them on the state exam Rulers and protractors will NOT be replaced by NYSED if they are lost or broken This will be the responsibility of the school This is the web address to find the SED guidelines for rulers and protractors httpwwwp12nysedgovapdasammathmathei-sam-11pdf
Grades 5-8 Mathematics Tests ndash Specifications for Rulers
1048707 Rulers may be constructed of plastic wood metal cardboard or other suitable material
1048707 Rulers must be between 6 and 12 long
1048707 Rulers must include inch to 1
16 subdivisions
1048707 Rulers must include centimeters with millimeter subdivisions
1048707 Rulers must be calibrated accurately with the RulerProtractor Calibration Sheet
Grades 5 and 7 Mathematics Tests ndash Specifications for Protractors
1048707 Protractors must be of clear plastic and measure no shorter than 3 15
16 in diameter and no longer than 4 3
4 in diameter
1048707 Protractors must be calibrated accurately with the RulerProtractor Calibration Sheet
If the ruler or protractor icon is shown on a particular question it means that the student MUST use this tool to complete the question
If the ruler or protractor icon is NOT shown on a particular question it means that the student should not use the math tools to solve the problem When this occurs the question will show [NOT DRAWN TO SCALE]
GRADE 8 Measurement Strand
Performance Indicator 7M1 is ldquocalculate distance using a map scalerdquo
(FYIhellipthis is a May-June PI for Grade 7 so it is tested on the Grade 8 exam)
City A City B
NAME ______________________________________ Day 5 GRADE 8MEASUREMENT STRANDProblem 1 (7M1) What is the actual distance between City A and City B on a map with
a scale of 12 inch = 40 miles Use your ruler to help you solve this problem
Show your work
Answer _______________ miles
--------------------------------------------------------------------------------------------------
Problem 2 Directions Use your ruler to help you solve this problem
Maria is planning a car trip from Niagara Falls to East Aurora
What is the approximate driving distance from Niagara Falls to East Aurora
ANSWER_____________
NAME _____________________________________ Day 6 GRADE 8ALGEBRA STRANDProblem 1 (7A10)
PART A Write the equation for the rule of the pattern in the table
Answer ________________________
PART B
Using the equation you wrote for the rule of the pattern in the table find the value of y when x is 12
Show your work
Answer ________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) Rashid wrote the sentence below
Forty-eight is greater than or equal to four plus the product of a certain number x and eleven
Write Rashidrsquos sentence as an algebraic inequality
Answer _____________________________________________________________
-------------------------------------------------------------------------------------------------Problem 3 (8A11)Write these expressions in factored form
a x2minus6 x+8
b n2+7n+10
c y2minus yminus6
Answer a ___________________ b ____________________ c____________________
x y1 82 133 184 23
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
y = 2x ndash 5 y = -x + 1
Answer __________
Score Problem 2 using the 3-Point Holistic Rubric Score _______
2-Point Holistic Rubric
Countdown-to-the-Tests Mini Lesson for Day 5 TOPIC Tools (Protractor amp Ruler)
Each student must have a ruler and each Grade 7 student must also have a protractor for his or her exclusive use during the test In the past NYSED provided new plastic rulers and protractors Your buildingrsquos math specialist or test liaison received these tools Use these tools PRIOR to the state exam on May 5 and 6 so that your students are familiar and comfortable using these tools before they need them on the state exam Rulers and protractors will NOT be replaced by NYSED if they are lost or broken This will be the responsibility of the school This is the web address to find the SED guidelines for rulers and protractors httpwwwp12nysedgovapdasammathmathei-sam-11pdf
Grades 5-8 Mathematics Tests ndash Specifications for Rulers
1048707 Rulers may be constructed of plastic wood metal cardboard or other suitable material
1048707 Rulers must be between 6 and 12 long
1048707 Rulers must include inch to 1
16 subdivisions
1048707 Rulers must include centimeters with millimeter subdivisions
1048707 Rulers must be calibrated accurately with the RulerProtractor Calibration Sheet
Grades 5 and 7 Mathematics Tests ndash Specifications for Protractors
1048707 Protractors must be of clear plastic and measure no shorter than 3 15
16 in diameter and no longer than 4 3
4 in diameter
1048707 Protractors must be calibrated accurately with the RulerProtractor Calibration Sheet
If the ruler or protractor icon is shown on a particular question it means that the student MUST use this tool to complete the question
If the ruler or protractor icon is NOT shown on a particular question it means that the student should not use the math tools to solve the problem When this occurs the question will show [NOT DRAWN TO SCALE]
GRADE 8 Measurement Strand
Performance Indicator 7M1 is ldquocalculate distance using a map scalerdquo
(FYIhellipthis is a May-June PI for Grade 7 so it is tested on the Grade 8 exam)
City A City B
NAME ______________________________________ Day 5 GRADE 8MEASUREMENT STRANDProblem 1 (7M1) What is the actual distance between City A and City B on a map with
a scale of 12 inch = 40 miles Use your ruler to help you solve this problem
Show your work
Answer _______________ miles
--------------------------------------------------------------------------------------------------
Problem 2 Directions Use your ruler to help you solve this problem
Maria is planning a car trip from Niagara Falls to East Aurora
What is the approximate driving distance from Niagara Falls to East Aurora
ANSWER_____________
NAME _____________________________________ Day 6 GRADE 8ALGEBRA STRANDProblem 1 (7A10)
PART A Write the equation for the rule of the pattern in the table
Answer ________________________
PART B
Using the equation you wrote for the rule of the pattern in the table find the value of y when x is 12
Show your work
Answer ________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) Rashid wrote the sentence below
Forty-eight is greater than or equal to four plus the product of a certain number x and eleven
Write Rashidrsquos sentence as an algebraic inequality
Answer _____________________________________________________________
-------------------------------------------------------------------------------------------------Problem 3 (8A11)Write these expressions in factored form
a x2minus6 x+8
b n2+7n+10
c y2minus yminus6
Answer a ___________________ b ____________________ c____________________
x y1 82 133 184 23
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
2-Point Holistic Rubric
Countdown-to-the-Tests Mini Lesson for Day 5 TOPIC Tools (Protractor amp Ruler)
Each student must have a ruler and each Grade 7 student must also have a protractor for his or her exclusive use during the test In the past NYSED provided new plastic rulers and protractors Your buildingrsquos math specialist or test liaison received these tools Use these tools PRIOR to the state exam on May 5 and 6 so that your students are familiar and comfortable using these tools before they need them on the state exam Rulers and protractors will NOT be replaced by NYSED if they are lost or broken This will be the responsibility of the school This is the web address to find the SED guidelines for rulers and protractors httpwwwp12nysedgovapdasammathmathei-sam-11pdf
Grades 5-8 Mathematics Tests ndash Specifications for Rulers
1048707 Rulers may be constructed of plastic wood metal cardboard or other suitable material
1048707 Rulers must be between 6 and 12 long
1048707 Rulers must include inch to 1
16 subdivisions
1048707 Rulers must include centimeters with millimeter subdivisions
1048707 Rulers must be calibrated accurately with the RulerProtractor Calibration Sheet
Grades 5 and 7 Mathematics Tests ndash Specifications for Protractors
1048707 Protractors must be of clear plastic and measure no shorter than 3 15
16 in diameter and no longer than 4 3
4 in diameter
1048707 Protractors must be calibrated accurately with the RulerProtractor Calibration Sheet
If the ruler or protractor icon is shown on a particular question it means that the student MUST use this tool to complete the question
If the ruler or protractor icon is NOT shown on a particular question it means that the student should not use the math tools to solve the problem When this occurs the question will show [NOT DRAWN TO SCALE]
GRADE 8 Measurement Strand
Performance Indicator 7M1 is ldquocalculate distance using a map scalerdquo
(FYIhellipthis is a May-June PI for Grade 7 so it is tested on the Grade 8 exam)
City A City B
NAME ______________________________________ Day 5 GRADE 8MEASUREMENT STRANDProblem 1 (7M1) What is the actual distance between City A and City B on a map with
a scale of 12 inch = 40 miles Use your ruler to help you solve this problem
Show your work
Answer _______________ miles
--------------------------------------------------------------------------------------------------
Problem 2 Directions Use your ruler to help you solve this problem
Maria is planning a car trip from Niagara Falls to East Aurora
What is the approximate driving distance from Niagara Falls to East Aurora
ANSWER_____________
NAME _____________________________________ Day 6 GRADE 8ALGEBRA STRANDProblem 1 (7A10)
PART A Write the equation for the rule of the pattern in the table
Answer ________________________
PART B
Using the equation you wrote for the rule of the pattern in the table find the value of y when x is 12
Show your work
Answer ________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) Rashid wrote the sentence below
Forty-eight is greater than or equal to four plus the product of a certain number x and eleven
Write Rashidrsquos sentence as an algebraic inequality
Answer _____________________________________________________________
-------------------------------------------------------------------------------------------------Problem 3 (8A11)Write these expressions in factored form
a x2minus6 x+8
b n2+7n+10
c y2minus yminus6
Answer a ___________________ b ____________________ c____________________
x y1 82 133 184 23
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
Countdown-to-the-Tests Mini Lesson for Day 5 TOPIC Tools (Protractor amp Ruler)
Each student must have a ruler and each Grade 7 student must also have a protractor for his or her exclusive use during the test In the past NYSED provided new plastic rulers and protractors Your buildingrsquos math specialist or test liaison received these tools Use these tools PRIOR to the state exam on May 5 and 6 so that your students are familiar and comfortable using these tools before they need them on the state exam Rulers and protractors will NOT be replaced by NYSED if they are lost or broken This will be the responsibility of the school This is the web address to find the SED guidelines for rulers and protractors httpwwwp12nysedgovapdasammathmathei-sam-11pdf
Grades 5-8 Mathematics Tests ndash Specifications for Rulers
1048707 Rulers may be constructed of plastic wood metal cardboard or other suitable material
1048707 Rulers must be between 6 and 12 long
1048707 Rulers must include inch to 1
16 subdivisions
1048707 Rulers must include centimeters with millimeter subdivisions
1048707 Rulers must be calibrated accurately with the RulerProtractor Calibration Sheet
Grades 5 and 7 Mathematics Tests ndash Specifications for Protractors
1048707 Protractors must be of clear plastic and measure no shorter than 3 15
16 in diameter and no longer than 4 3
4 in diameter
1048707 Protractors must be calibrated accurately with the RulerProtractor Calibration Sheet
If the ruler or protractor icon is shown on a particular question it means that the student MUST use this tool to complete the question
If the ruler or protractor icon is NOT shown on a particular question it means that the student should not use the math tools to solve the problem When this occurs the question will show [NOT DRAWN TO SCALE]
GRADE 8 Measurement Strand
Performance Indicator 7M1 is ldquocalculate distance using a map scalerdquo
(FYIhellipthis is a May-June PI for Grade 7 so it is tested on the Grade 8 exam)
City A City B
NAME ______________________________________ Day 5 GRADE 8MEASUREMENT STRANDProblem 1 (7M1) What is the actual distance between City A and City B on a map with
a scale of 12 inch = 40 miles Use your ruler to help you solve this problem
Show your work
Answer _______________ miles
--------------------------------------------------------------------------------------------------
Problem 2 Directions Use your ruler to help you solve this problem
Maria is planning a car trip from Niagara Falls to East Aurora
What is the approximate driving distance from Niagara Falls to East Aurora
ANSWER_____________
NAME _____________________________________ Day 6 GRADE 8ALGEBRA STRANDProblem 1 (7A10)
PART A Write the equation for the rule of the pattern in the table
Answer ________________________
PART B
Using the equation you wrote for the rule of the pattern in the table find the value of y when x is 12
Show your work
Answer ________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) Rashid wrote the sentence below
Forty-eight is greater than or equal to four plus the product of a certain number x and eleven
Write Rashidrsquos sentence as an algebraic inequality
Answer _____________________________________________________________
-------------------------------------------------------------------------------------------------Problem 3 (8A11)Write these expressions in factored form
a x2minus6 x+8
b n2+7n+10
c y2minus yminus6
Answer a ___________________ b ____________________ c____________________
x y1 82 133 184 23
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
City A City B
NAME ______________________________________ Day 5 GRADE 8MEASUREMENT STRANDProblem 1 (7M1) What is the actual distance between City A and City B on a map with
a scale of 12 inch = 40 miles Use your ruler to help you solve this problem
Show your work
Answer _______________ miles
--------------------------------------------------------------------------------------------------
Problem 2 Directions Use your ruler to help you solve this problem
Maria is planning a car trip from Niagara Falls to East Aurora
What is the approximate driving distance from Niagara Falls to East Aurora
ANSWER_____________
NAME _____________________________________ Day 6 GRADE 8ALGEBRA STRANDProblem 1 (7A10)
PART A Write the equation for the rule of the pattern in the table
Answer ________________________
PART B
Using the equation you wrote for the rule of the pattern in the table find the value of y when x is 12
Show your work
Answer ________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) Rashid wrote the sentence below
Forty-eight is greater than or equal to four plus the product of a certain number x and eleven
Write Rashidrsquos sentence as an algebraic inequality
Answer _____________________________________________________________
-------------------------------------------------------------------------------------------------Problem 3 (8A11)Write these expressions in factored form
a x2minus6 x+8
b n2+7n+10
c y2minus yminus6
Answer a ___________________ b ____________________ c____________________
x y1 82 133 184 23
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
NAME _____________________________________ Day 6 GRADE 8ALGEBRA STRANDProblem 1 (7A10)
PART A Write the equation for the rule of the pattern in the table
Answer ________________________
PART B
Using the equation you wrote for the rule of the pattern in the table find the value of y when x is 12
Show your work
Answer ________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) Rashid wrote the sentence below
Forty-eight is greater than or equal to four plus the product of a certain number x and eleven
Write Rashidrsquos sentence as an algebraic inequality
Answer _____________________________________________________________
-------------------------------------------------------------------------------------------------Problem 3 (8A11)Write these expressions in factored form
a x2minus6 x+8
b n2+7n+10
c y2minus yminus6
Answer a ___________________ b ____________________ c____________________
x y1 82 133 184 23
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
Problem 4 (8A3)
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
NAME ______________________________________ Day 7 GRADE 8ALGEBRA STRANDProblem 1 (8A2) Write an algebraic expression that represents this phrase
six years younger than twice Denitarsquos age
Use the variable d to represent Denitarsquos age
Answer _________________________
--------------------------------------------------------------------------------------------------
Problem 2 (8A1) The 8th grade class wants to rent a tent for its Pi Day celebration There is a flat fee of $50 plus $20 per hour to rent the tent The class has a budget of $180 to use for the
tent rental
PART A Write an inequality to find h the number of hours the class can rent the tent and still stay within its budget
Answer _________________________________
PART B The Company will only rent the tent for WHOLE number of hours How many hours will the class be able to rent the tent and still stay within its budget
Show your work
Answer ________________ hours
---------------------------------------------------------------------------------------------------Problem 3 (8A7) The area of Rectangle A is x
2+5 x+6 square units The area of Rectangle B is 6 x2+7 x+2 square units
How much larger is Rectangle B than Rectangle A
Show your work
Answer ________________ square units
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
Problem 4 (8A6)
Problem 5 (8A7)
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
m
n
t
2(x+7)
4(23-x)
m
n
t
4(x + 50)
(5x + 151)
NAME ______________________________________ Day 8 GRADE 8GEOMETRY STRANDProblem 1 (8G4) AND (8G5) Lines m and n are parallel and cut by transversal t
Find the value of x
Show your work
[not drawn to scale]
Answer ___________---------------------------------------------------------------------------------------------------Problem 2 (8G4) AND 8G5) Lines m and n are parallel and cut by transversal t PART A
Find the value of x
Show your work
[not drawn to scale]
Answer ___________
PART B
Find the measure of the angle represented by the expression (5x +151)
Show your work
Answer ___________ degrees
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
Problem 3 (8G2)
Problem 4 (8G1)
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
NAME ______________________________________ Day 9 GRADE 8GEOMETRY STRANDProblem 1 (8G11)
The table below shows the coordinates of triangle RST and the coordinates of R in triangle RST Triangle RST is a dilation of triangle RST
TriangleRST
TriangleRST
R (-2 -3) R (-6 9)S (02) ST (2 -3) T
Part A
What are the coordinates of point S and point T
Answer S = (____ ____)
T = (____ ____)
Part B
On the grid below draw triangle RST and triangle RST
--------------------------------------------------------------------------------------------------
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
x-axis
y-axis
D
C
B
A
Problem 2 (8G10) Draw the translation of the figure ABCD 4 units down and 3 units left
Be sure to draw the translated shape label the translated shape A BC D
What are the coordinates for pointA
Answer ( _____ ______)
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
x-axis
y-axis
D
C
B
A
x-axis
y-axis
D
C
B
A
Day 9 continued GRADE 8 GEOMETRY STRANDProblem 3 (8G9) Draw the reflection of the figure ABCD in the x-axis
Be sure to draw the reflected shape label the reflected shape A BC D
What are the coordinates for pointB
Answer ( _____ ______)
--------------------------------------------------------------------------------------------------------------Problem 4 (8G8) Rotate figure ABCD 180 degcounterclockwise
Be sure to draw the rotated shape label the rotated shape A BC D
What are the coordinates for point C
Answer ( _____ ______)
NAME ______________________________________ Day 10 GRADE 8
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDSProblem 1 (8N4) The number of students at Kennedy High School last year was 1045 This year the
high school has 1390 students
Find the percent of increase in the student population Round your answer to the nearest whole percent
Show your work
Answer ___________
--------------------------------------------------------------------------------------------------Problem 2 (8N4) The Williams family borrowed money to expand their restaurant They borrowed
$100000 From the bank at 75 simple interest for 8 years How much total interest will they pay Use the formula I = prt
Show your work
Answer $___________---------------------------------------------------------------------------------------------------
Problem 3 (8N3) Write 38 as a decimal value
Show your work
Answer ___________--------------------------------------------------------------------------------------------------------------------- Problem 4 (7M1) The scale on the map is 1 cm = 50 miles If the distance on the map from New
York City to Yonkers is 03 cm then what is the actual distance
Show your work
Answer ___________ miles
Day 10 continued GRADE 8 NUMBER SENSE amp OPERATIONS AND MEASUREMENT STRANDS
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________
Problem 5 (7M5) A 17-ounce package of pasta costs $412 What is the unit price of the pasta
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 6 (8N2) What is the value of xminus5
when x = 2
Show your work
Answer ___________-------------------------------------------------------------------------------------------------
Problem 7 (8N5) In a survey of 505 people about 57 said they have traveled to Niagara Falls Which is the best estimate of the number of people in the survey who said they
traveled to Niagara Falls
Choose from 250 300 350 or 400
Show your work
Answer ___________---------------------------------------------------------------------------------------------------Problem 8 (8N2) Evaluate x
2minus10x+25 when x=minus15
Show your work
Answer ___________