Complete IXL - LA County High School for the Arts€¦ · Web view2019-05-23 · (Assessment 1) Skill 2: CCSS: 9-12.A-CED.1 Create equations and inequalities in one variable including

Student Name:_______________________ Per:_______

Welcome to Honors Algebra II

The main goal of the Honors Algebra II Summer Assignment is to help you develop a conceptual framework for the course and review and extend on some concepts you learned in Algebra I. In addition, completing some work prior to the start of the school year will ensure we have time in the course to preview Math Analysis, Trigonometry, Probability and Statistics in the Spring to set you up for success next year on the SAT, ACT and/or math class of your choosing. The assignment centers around the following standards - skills you will need to be able to apply throughout the entire course.

Skill 1: CCSS: 9-12.A-SSE.2 Use the structure of an expression to identify ways to rewrite it. (Assessment 1)

Skill 2: CCSS: 9-12.A-CED.1 Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. (Assessment 2 and 5)

Skill 3: CCSS 9-12.A-REI.3.1 Solve one-variable equations and inequalities involving absolute value, graphing the solutions and interpreting them in context. (Assessment 3 and 6)

Skill 4: CCSS - 9-12.A-CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. (Assessment 4)

Skill 5: Introduction to the Khan Academy SAT to assist in preparing you for the SAT (or ACT)

What to do before the first day of school:

1) Khan Academy - PSAT/SAT Practice Assessment (2 hours)

2) Video Notes, IXL and Assessment Reviews for Assessments #1-6 (15-20 hours)

Open the Attachment for all details and hyperlinks

All* Video Links can be found at lachsa.net/cholko You Tube Video Tab

*Exceptions are the two review videos from Khan Academy Intro to order of operations (video) Worked example: Order of operations (PEMDAS) (video)

LACHSA Algebra II Summer Assignment Page 1/52


Summer Assignment Pacing Guide

Week Dates Unit Assignment Details Pages Estimated Time

Week 1 June 10 - 14

Take a Break

(or start early if you are taking a vacation at some point in the summer)

Week 2 June 17 - 21

Khan Academy

Create a Khan Academy account (or use your existing account) Join Ms. Cholko's Summer Assignment class in Khan

https://www.khanacademy.org/join/43UNBFM6 Take one complete Practice SAT (both the 25 min math section and 55 min math

section are required, English is optional so you can choose to skip through it or take the two English sub tests).

Link your College Board Account to your Khan Account

8 2 hours

Week 3 June 24 - 28

Assessment 1

Variable Expressions

Watch Simplifying Radicals Review and take notes in note packet (9 min) Watch Calculator Review and take notes in packet (6 min) Watch Intro to order of operations (video) and take notes in note packet (10min) Watch Worked example: Order of operations (PEMDAS) (video) and take notes in

note packet (6 min) Complete IXL A.1Evaluate variable expressions involving integers to 80% Complete IXL A.2Evaluate variable expressions involving rational numbers to 80% Complete IXL A.3Simplify variable expressions using properties to 80%

10 - 14 1.5 - 2 hours

Week 4Jul

1 - 5

Assessment 2

Linear Equations

Watch Video and Take notes on IXL B.1 and B3 Complete IXL B.1 Solve linear equations to 80% Complete IXL B.3 Solve equations: complete the solution Watch Video and Take notes on IXL B2 (7min) Complete IXL B.2 Solve linear equations: word problems to 80%

15-20 2 hours


https://www.ixl.com/math/algebra-2/solve-linear-equations-word-problems

https://www.youtube.com/playlist?list=PLg_4cIT8X3IWnhKbcLHmMhOkAVPUL239H

https://www.ixl.com/math/algebra-2/solve-equations-complete-the-solution

https://www.ixl.com/math/algebra-2/solve-linear-equations

https://www.youtube.com/playlist?list=PLg_4cIT8X3IXbiRpylT8b0_-AwJULFcrB

https://www.youtube.com/playlist?list=PLg_4cIT8X3IXbiRpylT8b0_-AwJULFcrB

https://www.khanacademy.org/join/43UNBFM6


Week Dates Unit Assignment Details Pages Estimated Time

Week 5Jul

8 - 12

Assessment 3

Absolute Value Linear

Equations

Watch Video and Take notes on IXL B4 (12min) Complete IXL B.4 Solve absolute value equations to 80% Watch Video and Take notes on IXL B5 Complete IXL B.5 Graph solutions to absolute value equations to 80%

21-26 1 hour

Week 6 Jul15-19

Assessment 4

Multi-Variable Equations

Watch Video and Take notes on IXL B6 (5 min) Complete IXL B.6 Solve multi-variable equations to 80%

27 - 28 30 min

Week 7Jul

22 - 26

Assessment 5

Solve and Graph Linear and Absolute

Value Inequalities

Watch Video notes for C1 and C2 (14 min) Complete IXL C.1Graph a linear inequality in one variable to 80% Complete IXL C.2Write inequalities from graphs to 80% Watch Video notes for C4 and C5 (20 min) Complete IXL C.4Solve linear inequalities to 80% Complete IXL C.5Graph solutions to linear inequalities to 80%

29 - 36 1.5 – 2 hours

Week 8Jul 29 -Aug 2

Assessment 6

Solve and Graph

Absolute Value Inequalities

Watch video notes for C6 and C7 (14 min) Complete IXL C.6Solve absolute value inequalities to 80% Complete IXL C.7Graph solutions to absolute value inequalities to 80%

37 - 39 1 - 1.5 hours


https://www.youtube.com/playlist?list=PLg_4cIT8X3IW8VJnzQzdoSRvaQl4MPOVB



https://www.ixl.com/math/algebra-2/solve-multi-variable-equations


https://www.ixl.com/math/algebra-2/graph-solutions-to-absolute-value-equations

https://www.ixl.com/math/algebra-2/solve-absolute-value-equations



Week Dates Unit Assignment Details Starting Page

All Notes and IXL’s must be completed by August 14.Notes will be checked on August 14 – 16 (the first day you have Honors Algebra II as a class)

Trust – copying someone else’s notes will not benefit you this year. Watch the videos!

Week 9

and

Week 10

Aug5 – 9

Aug 12 - 16

Assessment Review

Complete Assessment Reviews for Assessments #1 – 6 by August 16 Assessment 1 – Variable Expressions (p40-41) Assessment 2 – Linear Equations (p42-43) Assessment 3 – Absolute Value and Linear Inequality (p44 – 45) Assessment 4 – Multi Variable Equations (p 46 – 47) Assessment 5 – Solve and Graph Linear and Absolute Value Inequalities (p48 – 49) Assessment 6 – Solve and Graph Absolute Value Inequality (p50 – 51)

1 hour at home

+

1 hour in class

Week 1

@ School

Per 1-3Mon8/19

Per 4-6Tue8/20

Assessments#1-6 will be

given in class. No

notes. Calculator

may be used.

25 points per assessment

Assessment Review is mirror image of assessment!85 min in class



1) Khan Academy – PSAT/SAT Prep (2 hours)

Create a Khan Academy account (or use your existing account) - https://www.khanacademy.org

Click this link to join Ms. Cholko's Summer Assignment class - https://www.khanacademy.org/join/43UNBFM6

Take one complete Practice SAT (both the 25 min math section and 55 min math section are required, English is optional so you can choose to skip through it or take the two English sub tests).

o Having issues finding the SAT page on Khan? Go to https://www.khanacademy.org/mission/sat And select the tab at the top that says “Full Test”.

Link your College Board Account to your Khan Account (if you have never taken the SAT or PSAT you will have to create a college board account). This link can be found on your Home page in your Khan Academy SAT module.


https://www.khanacademy.org/join/43UNBFM6

https://account.collegeboard.org/login/login?DURL=https://cbsso.collegeboard.org:443/as/9A4YE/resume/as/authorization.ping&appId=329


2) Video Notes and IXL Practice. (15-25 hours of work)

Assessment 1 - Variable Expressions CCSS: 9-12.A-SSE.2 Use the structure of an expression to identify ways to rewrite it.

NotesReview: Simplifying RadicalsSimplify the radical and keep your answer in simplified, rationalized form. There are a few different ways to do this – you can use upside down division, or factor trees. I am going to demonstrate upside down division as I think it makes this hard to make simple mistakes.

Example 1√50

Practice 1 Practice 2 Practice 3√120 √80 √12

LACHSA Algebra II Summer Assignment

Examples are parts of the notes that you want to listen to and copy down. This is the part where I will teach you how to complete similar problems. Be sure to write down the words (not just the numbers) as they will be VERY helpful when doing math throughout the year.

For practice, you want to pause the video and try these on your own – then fast forward and you can check your work. If you get one wrong, you can rewind and watch the problem get worked out to check where you may have made an error. If you get it correct you can move on.

REMINDER: Notes website is “lachsa.net/cholko You Tube Links” and you will look up the notes by IXL (B2, C5, etc) or “Review”

Page 11/52

NotesReview – Calculator

Example 1


Practice 1 Practice 2

3 45+6 18=¿ 2

5+7 58=¿


Pause Remember to pause the video and try the practice on your own!

Page 13/52

NotesIntro to order of operations (video)

Simplify 8+ (5 ) (4 )−(6+10÷2 )+44


NOTE: This is a Khan Academy Video – google the title or click the hyper link in the online PDF for the summer assignment at lachsa.net/summerassignments

Page 14/52

NotesWorked example: Order of operations (PEMDAS) (video)

7 x 2 + (7 + 3 x (5-2)) – 4 x 2


NOTE: This is a Khan Academy Video – google the title or click the hyper link in the online PDF for the summer assignment at lachsa.net/summerassignments

Page 15/52

Assessment 2 – Linear Equations

CCSS: 9-12.A-CED.1 Create equations and inequalities in one variable including ones with absolute value and use them to solve problems.Notes

IXL B.1 and B.3 – Solving Linear Equations

Example 1Solve for s if -19s = -20 – 20s

Math Words to explain the process

Example 2Solve for b if 5 – 8b = -11b + 17



Practice 1Solve for z if 10z – 9 = -9 – 14 +12z


Practice 2Solve for u if -7 – 2u = -4 – 4u – 13



Practice 3Solve for j if 7(1.6j +0.08) = 11.9j


Practice 4Solve for g if 18 – 2 (-20g – 19) = 6(8g – 16)



Practice 5Solve for c if 46.4c – 92.24 +12.5c = 98.8 + 2(33.5c + 96.45)



NotesSolve Linear Equation Word Problems (IXL B.2)

Practice 1Kelly has already knit 2 cm of scarf, and can knit 1 cm each night. How many nights will Kelly have to spend knitting in order to knit a total of 40 cm?

1) Determine - what are you trying to find?

2) Set up your let

3) Set up your equation

4) Solve

5) If you need to, plug your solution in to find the answer to the question

Practice 2Lexi learns 5 new appetizer recipes during each week of culinary school. After 7 weeks of culinary school, how many total appetizer recipes will Lexi know?


Example 1Collin has already taken in 52 calories and he takes in 21 more calories with every snack he eats. How many snacks does Colin have to eat to consume a total of 94 calories?

Example 2The charity gala costs $13 for every attendee. How many attendees can be there, at most, if the budget for the charity gala is $598?


Assessment 3 – Absolute Value Linear Equations

9-12.A-REI.3.1 Solve one-variable equations and inequalities involving absolute value, graphing the solutions and interpreting them in context.

NotesB.4 Solve absolute value equations

What is an absolute value?

On a number line what points would be represented by |x|=5?

Example 1Solve for the variable in the equation 20=|5b|

SOLUTION 1 rule: SOLUTION 2 rule:

Example 2How many solutions does the equation 2|−x|=18 have?


Example 3Solve for the variable in the equation|c−8|−9=−6?. How many solutions does the equation have?

Practice 1Solve for the variable in the equation2|x−3|=12?. Leave your answer as a fraction or improper fraction (not a mixed number) if it not a whole number solution. How many solutions does the equation have?

Practice 2Solve for the variable in the equation 2|x−3|=−12?. Leave your answer as a fraction or improper fraction (not a mixed number) if it not a whole number solution. How many solutions does the equation have?

Notes

B.5 Graph solutions to absolute value equations


Define Absolute Value

When solving an absolute value equation how many solutions will you have?

Example 1


Example 2

Example 3


Practice 1

Practice 2


Practice 3

Practice 4


Assessment 4 – Multi Variable Equations

9-12.A-CED.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

NotesB.6 Solve multi-variable equations

Example 1 Example 2Solve for c if b = ca Solve for x if y = zwx

Example 3 Practice 1Solve for b if d = b2c Solve for a if b = 2ca

Practice 2 Practice 3Solve for x if y = zw 2 x Solve for b if d = b2c 2

Assessment 5 – Solve and Graph Linear and Absolute Value Inequalities


9-12.A-CED.1 Create equations and inequalities in one variable including ones with absolute value and use them to solve problems.

NotesC.1 Graph a linear inequality in one variableC.2 Write inequalities from graphs

Graphing inequalities – symbols

Example 1:

Graph x ≤7

Practice 1A:

Graph x ¿−3

Practice 1B:

What inequality does the number line show?


Example 2

Graph x ¿2 or x ¿4

Practice 2A

Graph x ≤−6 or x ¿−2

Example 3A

Graph 0≤ x≤4

Example 3B


Graph 0 ¿ x≤3

Example 3C

Graph -2 ≤ x≤7

Practice 3A

Graph -4 ¿ x≤2

Practice 3B

Graph x≥5∨x≤0


Practice 3C

What compound inequality does the graph describe?

Practice 3D

What compound inequality describes the graph?

NotesC.4 Solve linear inequalitiesC.5 Graph solutions to linear inequalities

Review


When adding or subtracting the inequality sign will _________________________.

When dividing by a positive number the inequality sign will __________________.

When dividing by a negative number the inequality sign will __________________.

Example 1Solve for s – when you isolate the variable and divide by positive numbers4 (s+15 )+6<14

Practice 1Solve for y – when you isolate the variable and multiply or divide by positive numbers12

( y+15 )+6<14


Example 2Solve for p – when you isolate the variable and divide by negative numbers. Graph the solution. −16 ( s+15 )≥16

Practice 2Solve for x – when you isolate the variable and divide by negative numbers. Graph the solution. −5 ( x+15 )<30

Practice 3Solve for k – when a variable is on both sides of the equation. Graph the solution.


−6 (−8 k+20 )≥−5 (−10k+20 )−2

Example 3Solve for r – when a variable is on both sides of the equation. Graph the solution.−(−8 r+4 )+2≤−5 (−2 r+20 )


Example 4Solve for v – when one of the parts of the equation is a fraction. Draw the graph.

−6< v−193

≤4

Practice 4Solve for z – when one of the parts of the equation is a fraction. Draw the graph.

g+192

≤5∨g+10+4 g≥10


Assessment 6 – Solve and Graph Absolute Value Inequalities

9-12.A-REI.3.1 Solve one-variable equations and inequalities involving absolute value, graphing the solutions and interpreting them in context.

NotesC.6 Solve absolute value inequalitiesC.7 Graph solutions to absolute value inequalities

For each problem write a compound inequality.

Example 1Solve for t and write your solution as a compound inequality. Graph the compound inequality.

−|t|≤−1

Practice 1Solve for r and write your solution as a compound inequality. Graph the compound inequality.

−|r+1|≤5

Example 2


Solve for t and write your solution as a compound inequality. Graph the compound inequality.

5−3|t−8|≤−1

Practice 2aSolve for v and write your solution as a compound inequality. Graph the compound inequality.

−2|6v|+9←5

Practice 2bSolve for x and write your solution as a compound inequality. Graph the compound inequality.


|4 x+7|+8<12



Assessment 1 – Variable ExpressionsReview - Simplifying Radicals, Calculator Operations and Order of Operations IXL A.1Evaluate variable expressions involving integersIXL A.2Evaluate variable expressions involving rational numbersIXL A.3Simplify variable expressions using properties

1) Evaluate the expression tu2v for t = 0, u = 17 and v = -11

2) If d = 2, what is √14+11 d

3) Evaluate the expression for r = 15, s = 0 and t = 10. Simplify your answer as a whole number or a mixed number.

rstr+t


4) Simplify the expression5(-8 + 3z)

5) Simplify the expression2(x+1)2 - 5

ANSWER KEY – Assessment Review Assessment #11 2 3 4 5

Name:______________________________________ Period:________________


Assessment 2 – Linear EquationsIXL B.1 Solve linear equations IXL B.3 Solve equations: complete the solution IXL B.2 Solve linear equations: word problems

1) Solve for p-3(24p - 61) = -11p + 8(-13p - 4)

2) Complete the process of solving the equation by filling in the information in the blanks below. Simplify any fractions you encounter as you complete the math


https://www.ixl.com/math/algebra-2/solve-linear-equations-word-problems

https://www.ixl.com/math/algebra-2/solve-equations-complete-the-solution

https://www.ixl.com/math/algebra-2/solve-linear-equations

3) Collin has already taken in 52 calories and he takes in 21 more calories with every snack he eats. Write an algebraic equation to represent how many snacks Colin will have to eat to consume a total of 94 calories. Let s equal snacks.

4) Using the information from #3 - How many snacks does Colin have to eat to consume a total of 94 calories?.

5) Danielle’s birthday party costs $29, plus an additional $1 for each guest she invites. How many guests can there be, at most, if Danielle can afford to spend a total of $75 on her birthday party? Clearly define your variables and show all work for full credit.


Name:______________________________________ Period:________________


Assessment 3 – Absolute Value and Linear Inequality IXL B.4 Solve absolute value equations IXL B.5 Graph solutions to absolute value equations

1) How many solutions does each equation have? (B4)a) -2|−𝑥| = 14 b) 2|𝑥 + 3| = 9 c) -6|𝑥 − 3| = -15

2) Solve for the given variable: (B4)2|3𝑥| = 72

3) Solve for the given variable: (B4)-12 + |3𝑥 - 2| = 22


https://www.ixl.com/math/algebra-2/graph-solutions-to-absolute-value-equations

https://www.ixl.com/math/algebra-2/solve-absolute-value-equations

4) Solve for c and graph the solution on a number line in the key below.

3=|2 z+2|

5) Solve for c and graph the solution on a number line in the key below.

|c−70|−3=22

ANSWER KEY – Assessment Review Assessment #31 2 3

4 5

Name:______________________________________ Period:________________


Assessment 4 – Multi Variable Equations IXL B.6 Solve multi-variable equations

1) Solve for s in the equation sv = -ptr

2) Solve for n in the equation PV = nRT

3) Solve for f in terms of T if T = 1f


https://www.ixl.com/math/algebra-2/solve-multi-variable-equations

4) Solve for c in the equation 18 c2 = a2b

5) Solve for x in the equation y = 2w 2 x √ y 5


Name:______________________________________ Period:________________


Assessment 5 Review – Solve and Graph Linear and Absolute Value Inequalities IXL C.1Graph a linear inequality in one variable IXL C.2Write inequalities from graphsIXL C.4Solve linear inequalities IXL C.5Graph solutions to linear inequalities

1) Match the equation with the correct graph (A – H) below or select J if none of the graphs below match the solution.

Solution 1.1 Solution 1.2 Solution 1.3

−2 x≥8 4 x+9>17 12x−3≥−4

Graph A

Graph B

Graph C

Graph D

Graph E

Graph F

Graph G

Graph H

Graph J - No Solution Provided


2) Solve for k.

−6 (−8 k+20 )≥−5 (−10k+20 )−2

3) Graph the solution on the number line below.

-2 ≤ x≤7

4) Graph the solution on the number line below. (Hint: solve first!)

−16 ( s+15 )≥16

ANSWER KEY – Assessment Review Assessment #51.1 1.2 1.3 2 3

4 5

Name:______________________________________ Period:________________


Assessment 6 – Solve and Graph Absolute Value Inequality IXL C.6Solve absolute value inequalities IXL C.7Graph solutions to absolute value inequalities

1) Match the equation with the correct graph (A – E) below or select F if none of the graphs below match the solution or G if the graph is all real numbers.

Solution 1.1 Solution 1.2 Solution 1.3|8 x|<16 |−4 x|<8 |x−4|<2

Graph A

Graph B

Graph C

Graph D

Graph E

Graph F – All real numbers

Graph G – No Solution

2) Solve for v.


−2|6v|+9←5

3) Solve for v. 4) Solve for x

−2|6v|+9←5 |4 x+7|+8<12

5) Graph the solution on the number line below. (Hint: solve first!)

|−3 r+2|≤5

ANSWER KEY – Assessment Review Assessment #61.1 1.2 1.3 2 3 4

5

Name:______________________________________ Period:________________


Documents

Complete IXL - LA County High School for the Arts€¦ · Web view2019-05-23 · (Assessment 1) Skill 2: CCSS: 9-12.A-CED.1 Create equations and inequalities in one variable including