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Step Up to the TEKS by GF Educators, Inc.

Fifth Grade Math Book

Student Edition

Copyright © 2014

www.StepUpTEKS.com

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Step Up to the TEKS

Fifth Grade Math Book

by GF Educators, Inc.

Table of ContentsNumerical Representations and Relationships Represent Value of Decimals (5.2A) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1 Compare and Order Decimals (5.2B) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5 Round Decimals (5.2C). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11 Identify Prime/Composite Numbers (5.4A) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .15 Describe Parentheses/Brackets (5.4E) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .19 Simplify Numerical Expressions (5.4F) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .23

Computations and Algebraic Relationships Estimate for Solutions (5.3A) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .29 Multiply Standard Algorithm (5.3B). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .33 Divide Using Standard Algorithm (5.3C) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .38 Represent Multiplication of Decimals (5.3D) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .42 Solve Using Multiplication of Decimals (5.3E) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .46 Represent Division of Decimals (5.3F) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .52 Solve Using Division of Decimals (5.3G) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .57 Fractions with Unequal Denominators (5.3H). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .63 Multiply Whole Numbers and Fractions (5.3I) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .67 Represent Division with Unit Fractions (5.3J) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .71 Add and Subtract Rational Numbers (5.3K) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .75 Division with Unit Fractions (5.3L) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .81 Solving for Unknowns (5.4B) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .87 Numerical Patterns from Equations (5.4C) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .93 Additive and Multiplicative Patterns (5.4D) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .99

Geometry and Measurement Perimeter, Area (5.4H) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .103 Classify Two-Dimensional Figures (5.5A) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .108 Recognize Unit Cubes (5.6A) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .114 Volume with Unit Cubes (5.6B) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .118 Conversion of Measurement Systems (5.7A). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .122 Coordinate Planes (5.8A) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .126 Understanding How to Graph Ordered Pairs (5.8B). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .130 Graphing Ordered Pairs (5.8C) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .134

Data Analysis and Personal Financial Literacy Representations of Data (5.9A) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .141 Scatterplots (5.9B) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .145 Tables, Plots, and Graphs (5.9C) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .151 Taxes (5.10A) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .157 Gross and Net Income (5.10B) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .161 Expenses and Income (5.10E) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .164 Balancing a Budget (5.10F) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .167

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15th Grade Mathematics Not For Duplication© 2014

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Thinking Mathematically

Why is it important to place the zeros between the decimal and the number when putting a number in expanded notation?

How do you represent a digit in expanded form?

Why do you need to represent a number in expanded form?

Numerical Representations and Relationships

How do you represent the digit 7 in expanded notation in the number 54.672?

A 1 x 7B 0.1 x 7C 0.01 x 7D 0.001 x 7

Represent Value of Decimals

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GuidedPractice

GP Represent Value of DecimalsNumerical Representations and Relationships

Name:TEKS 5.2A Supporting

1 How is six billion, four hundred one thousand, six and three thousandths written as a number?

A 641,600,000.003B 6,401,006.003C 6,000,401,006.003D 6,000,401,006.03

2 How is 300 + 40 + 9 + 0.04 + 0.008 written as a number?

A 349,048B 34,948C 349.48D 349.048

3 On Tuesday, Martin gave each plant 43.5 milliliters of water. On Wednesday he gave them 4.35 milliliters of water. On Friday, Martin poured 44.254 milliliters of water on each plant, and on Monday each plant received 44.9 milliliters of water. Write the amount of water Martin gave each plant in expanded notation in the table below.

Day Expanded Notation

TuesdayWednesday

Friday

Monday

4 How do you represent the digit two in expanded notation in the number 125.765?

A 10 x 2B 100 x 2C 0.01 x 2D 0.001 x 2

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Practice

IP Represent Value of DecimalsNumerical Representations and Relationships


1 How is 200 + 9 + 0.1 + 0.007 written as a number?

A 209.107B 209,107C 290.017D 29.17

2 How is 1.008 written in expanded notation?

A 1 + 0.08B 1,000 + 8C 1 + 800D 1 + 0.008

3 Howisfivehundredtwenty-threethousand, two and three hundredths written as a number?

A 532,002.03 B 523,020.03 C 323,002.03D 523,002.03

4 Howisfourbillion,fivehundredmillion, six hundred thousand, one and fivethousandthswrittenasanumber?

A 400,500,600,001.05 B 40,005,006.5000C 4,500,006,001.105D 4,500,600,001.005

5 Howisfifty-seventhousandandsevenhundredths written as a number?

A 57.07B 57,000.07C 57,007D 57,000.007

6 Martin measured his plant for a science lab. The height of his plant is 32.562 centimeters. How is this height written in expanded form?

A 300 + 500 + 60 + 2 cmB 30 + 2 + 0.5 + 0.06 + 0.002 cmC 30,000 + 2,000 + 500 + 60 +2 cmD 300 + 2 + 0.500 + 0.60 + 0.2 cm

7 Jonathan wrote the following number in expanded notation.

4 x 100 + 3 x 1 + 6 x 0.01 + 2 x 0.001

What is Jonathan’s number?

8 How is 20.871 written in expanded notation?

A 20 + 8 + 0.7 + 0.01B 20 + 0.8 + 0.07 + 0.001C 20,000 + 800 + 70 + 1D 80 + 0.8 + 0.7 + 0.1

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IP Represent Value of DecimalsNumerical Representations and Relationships


5 Atthetrackmeet,Paul,Bob,Ron,andEdraninthe200-meterdash.Paul’stimewas19.8seconds.Bobfinishedtheracein19.75seconds,andEdfinishedin19.57seconds. Ron ran the race in 19.6 seconds. Write the race times of each runner in expanded notation in the table below.

Runner Expanded Notation

PaulBob

Ron

Ed

6 The table below shows some of Michael Jordan’s career NBA basketball statistics. Complete the table by writing each statistic in expanded notation.

Category Expanded Notation

Points per GameRebounds per Game

3 Point %

Field Goal %

Statistics

30.16.2

0.327

0.4497

Free Throw % 0.835

1 Which is the same as 54.672?

A 50,000 + 4,000 + 600 + 70 + 2B 50 + 4 + 0.6 + 0.07 + 0.002C 5 + 4 + 0.6 + 0.7 + 0.2D 50 + 4 + 0.600 + 0.70 + 0.2

2 How do you represent the digit 8 in expanded notation in the number 23.825?A 1 x 8B 0.1 x 8C 0.01 x 8D 0.001 x 8

3 What is the value of the digit 6 in expanded notation in the number 23.456?A 6 x 1000B 6 x 0.001C 6 x 0.01D 6 x 0.1

4 What is the value of the digit 1 in expanded notation in the number 987.013?A 1 x 0.01B 1 x 0.1C 1 x 1D 1 x 10

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Why is the placement of the zeros important when comparing the numbers above?

Why do you need to order decimals?

Explain the method of comparing two decimals.

Compare and Order DecimalsNumerical Representations and Relationships

Which is a correct comparison?

A 10.23 > 10.203 B 10.23 < 10.230C 10.23 = 10.203D 10.203 < 10.2

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GP Compare and Order DecimalsNumerical Representations and Relationships

Name:TEKS 5.2B Readiness

1 Which is a correct comparison?

A 80.08 > 80.2 B 80.8 < 80.08C 80.08 = 80.080D 80.080 > 80.8

Fisherman Fish Length (Inches)

Scott 24.375

24.357

24.307

Ronnie

Eddie

24.37Ruiz

2 Scottandhisfriendswereoutfishing.Thefishtheycaught all appeared to be the same size. The lengths oftheirfisharelistedinthetable.HelpScottcomparethesizeofeachfishbyplacing>,<,or=inbetweeneach set of numbers.

24.375 24.357

24.357 24.307

24.307 24.37

24.37 24.375

3 According to the table in question #2, which comparison is true?

ARuiz’fishlength<Eddie’sfishlengthBRonnie’sfishlength>Scott’sfishlengthCEddie’sfishlength>Scott’sfishlengthDRonnie’sfishlength<Ruiz’fishlength


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IP Compare and Order DecimalsNumerical Representations and Relationships


1 Which number makes the comparison true?

15.605 > _______

A 15.65 B 15.650C 15.7D 15.065


A 12.303 > 12.33 B 12.3 < 12.033C 12.33 = 12.033D 12.33 > 12.033

3 Which number and symbol can be used to make the comparison true?

_______ 12.98

A 13.4 < B 12.908 = C 12.909 >D 12.099 <


A 1.871 > 1.93 B 1.930 < 1.905C 1.930 = 1.903D 1.93 > 1.903

5 Which statement is true about the decimal 800.401?

A 800.401 = 800.410 B 800.4 > 800.401C 800.401 < 800.410D 800.401 < 800.4


A 0.123 > 0.13 B 0.130 < 1.128C 0.13 = 0.103D 0.103 > 0.13

7 Which number and symbol can be used to make the comparison true?

34.150 _______

A < 33.199 B = 34.15C > 34.2D < 34.099

8 Which number makes the comparison true?

82.41 > _______

A 82.6B 82.209C 82.52D 82.402

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1 Use a >, <, or = to complete each comparison below.

15.96 15.960

12.14 12.104

20.609 20.68

400.1 40.01

29.06 29.060

2 Tao measured the length of a ribbon in centimeters. The length of the ribbon was between 12.8 and 12.9 centimeters. Which statement is true about the length of her ribbon?

A 12.98, because 12.98 > 12.8 and 12.98 > 12.9

B 12.76, because 12.76 < 12.8 and 12.76 < 12.9

C 12.90, because 12.90 > 12.8 and 12.90 = 12.9

D 12.84, because 12.84 > 12.8 and 12.84 < 12.9

3 Coach Black recorded the growth of his basketball players over the last year in the table below.

Player Growth (Inches)

Lucas 1.34

1.2

1.205

Ashton

Jerrod

1.20Timmy

Put a <, >, or = to compare the growths of the players.

Lucas Timmy

Ashton Timmy

Jerrod Lucas

Ashton Jerrod

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Year Rainfall (Inches)

2010 40.23

40.32

40.032

2011

2012

40.2032013

1 The average rainfall for the past four years in Ellis County is listed in the table. According to this table, which comparison is true?

A Rainfall in 2010 > Rainfall in 2012B Rainfall in 2011 = Rainfall in 2012C Rainfall in 2013 > Rainfall in 2011D Rainfall in 2010 = Rainfall in 2013

2 Martin weighed his plants. The tomato plant weighed 1.52 kilograms. The ivy plant weighed 1.19 kilograms. The corn plant weighed 1.41 kilograms, and the bean plant’s weight was 1.7 kilograms. Which correctly compares the weights of the plants?

A Weight of tomato plant > Weight of bean plant

B Weight of bean plant < Weight of ivy plant

C Weight of corn plant > Weight of tomato plant

D Weight of ivy plant < Weight of bean plant

3 Erin and her friends play softball. Erin lives0.8ofamilewestoftheballfield.Tara lives 0.71 of a mile east of the field,whileNicolelives0.67ofamilenorthofthesoftballfield,andLaurellives 0.7 of a mile north of the softball field.Whichcorrectlycomparestwoof the player’s distance from the ball field?

A Erin’s distance < Tara’s distanceB Nicole’s distance < Laurel’s

distanceC Tara’s distance = Laurel’s distanceD Nicole’s distance > Erin’s distance

4 Kelly is a worker in a grocery store. She wants to arrange the groceries on the shelf in order from the greatest UPC code to the least UPC code. Which shows two of the UPC codes compared correctly?

A 324.98 < 324.908B 365.104 > 365.12C 437.26 > 427.908D 376.614 > 376.83Sa

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1 Four friends tested each other’s reaction times. Their results are shown below.

Arnold’s time < Max’s timeEmilio’s time = Max’s time

Frank’s time > Emilio’s timeArnold’s time < Frank’s time

Which could be used to show the friends’ reaction times?

A

Friend Reaction Time (sec)

Arnold 0.255

0.205

0.25

Max

Emilio

0.250Frank

B


Arnold 0.205

0.250

0.25

Max

Emilio

0.255Frank

C


Arnold 0.255

0.25

0.250

Max

Emilio

0.205Frank

D


Arnold 0.255

0.250

0.205

Max

Emilio

0.25Frank

2 Four gymnasts competed in a meet. The comparison below shows how they scored.

Kennedy’s score > Teryn’s scoreTeryn’s score < London’s scoreLondon’s score = Alisa’s scoreAlisa’s score < Kennedy’s score

Which could be used to show the gymnasts’ scores?

A

Gymnast Score

Kennedy 9.876

9.64

9.76

Teryn

London

9.760Alisa

B

Gymnast Score

Kennedy 9.760

9.64

9.876

Teryn

London

9.760Alisa

C

Gymnast Score

Kennedy 9.876

9.640

9.706

Teryn

London

9.76Alisa

D

Gymnast Score

Kennedy 9.760

9.64

9.76

Teryn

London

9.876Alisa

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Why is it important to look at the hundredth place when rounding to the nearest tenth?

Why is it important to be able to round decimals?

Why is it necessary to round a decimal?


Carol used 7.3 yards of fabric to make a tablecloth. The material cost $2.64 a yard, but was on sale for $1.77 a yard. Which is the sale price rounded to the nearest tenth?

A $2.00B $1.80C $1.70D $1.78

Round Decimals

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GP Round DecimalsNumerical Representations and Relationships

Name:TEKS 5.2C Supporting

1 What is 484.2675 rounded to the nearest hundredth?

A 500B 484.268C 484.27D 484.3

2 What is 29.7091 rounded to the nearest tenth?

A 29.71B 30C 29.709D 29.70

3 Alexis is a gold miner. She found 12.823 ounces of gold. When reporting the weight, she rounded it to the nearest tenth of an ounce. What weight did Alexis report?

A 12.8 ouncesB 13 ouncesC 12.82 ouncesD 12.9 ounces


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IP Round DecimalsNumerical Representations and Relationships


1 What is 28.664 rounded to the nearest tenth?

A 28.66B 28.6C 28.7D 28.67


A 901.340B 901.341C 900D 901.35


A 100.00B 99.99C 99.00D 99.90

Tina bought 5 lemons which sell for $1.73 or 50¢ each. She also bought 2 pineapples for $2.26 each.

4 Whatthepriceofthefivelemonsroundedtothenearesttenth?

__________________

5 What the price of the 2 pineapples rounded to the nearest tenth?

__________________

6 In Round Rock, Texas, it rained 4.628 inches on Tuesday. What was Tuesday’s rainfall rounded to the nearest hundredth of an inch?

A 4.63 in.B 4.6 in.C 4.7 in.D 4.62 in.

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IP Round DecimalsNumerical Representations and Relationships


1 Sultan Kosen has the largest hands ever measured. Each hand is 11.224 inches long. How long is each hand rounded to the nearest tenth?

A 11.2 in.B 11.3 in.C 11.22 in.D 11.23 in.

2 Sultan Kosen also has the longest foot ever measured at 36.506 centimeters. Write the length of Sultan’s foot rounded to the nearest tenth of a centimeter.

__________________

3 The table below shows the times for the World Record holders in the 100 meter dash. Round each number to the decimal shown.

Runner Time (sec)

Donovan Bailey 9.835

9.768

9.766

Asafa Powell

Justin Gatlin

9.763Asafa Powell

9.683Usain Bolt

9.572Usain Bolt

Rounded NumberRound to

Tenth

Hundredth

Tenth

Hundredth

Tenth

Hundredth

4 Virgil caught a bass that weighed 12.998 pounds. When reporting the weight of the bass, Virgil rounded the weight of the bass to the nearest hundredth of a pound. What weight did Virgil report?

A 12.98 poundsB 12.90 poundsC 13.00 poundsD 12.99 pounds

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Why is it important to know that a number is prime?

Whatisthedifferencebetweenaprimeandcompositenumber?

What do prime and composite numbers have in common?


Which number is a prime number?

A 7B 8 C 6D 4

Identify Prime /Composite Numbers

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GPNumerical Representations and Relationships


1 Which number is a composite number and not a prime number?

A 3 C 5 B 7 D 9

2 Which is a prime factor of the composite number 16?

A 3 C 4 B 2 D 8

3 Madison used the oval mirrors to make 4 designs, as shown below. Which design is composed of a composite number of tiles?

Design 1

Design 2

Design 3

Design 4

A Design 1B Design 2C Design 3D Design 4



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IPNumerical Representations and Relationships


1 Which number is a prime number and not a composite number?

A 7 C 6 B 8 D 4


A 12 C 14 B 13 D 15


A 23 C 49 B 29 D 13


A 13 C 33 B 23 D 43


A 9 C 27 B 19 D 30


A 9 C 4 B 8 D 3


A 23 C 9 B 13 D 3


A 15 C 5 B 9 D 2


A 13 C 9 B 11 D 6

10 Tracy is thinking of a prime number. What is Tracy’s number?

A 27 C 8

B 3 D 9

11 Which number is a composite number?

A 3 C 5 B 7 D 9


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1 The factor tree for the number 42 is shown below. 42

2 21

7 3 According to this factor tree, which of the following statements is true?

A The product of 2 prime numbers is always odd.B All the factors of 42 are odd numbers.C All the prime factors are odd.D There are 3 prime factors of 42.

2 Molly used hexagonal tiles to make 4 designs, as shown below. Which design is composed of a prime number of tiles? Explain why the wrong answers are wrong and the right answer is right.

Design 1 Design 3

A Design 1

B Design 2

C Design 3

D Design 4

Design 2 Design 4


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Why is it important to follow the order of operations?

Whatisthedifferencebetweenparenthesesandbrackets?


Howdothebracketsandparenthesesaffecttheorderofoperationsfortheexpression [50 + (20 – 3) x 6] ÷ 2?

A The division operation is the last step. BTheadditionoperationisthefirststep.C The multiplication operation is the third step.D The parentheses do not change the order of operations.

Describe Parentheses /Brackets

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Name:TEKS 5.4E Supporting

1 Which choice gives the correct order of operations neededtofindthevalueof4–8(2+6)÷2?

A –, ×, +, ÷ B –, +, ×, ÷ C ×, ÷, –, + D +, ×, ÷, –

2 Which is a reason to use parentheses in a numerical expression?

ATodefinewhichoperationshouldbeperformedfirst

B To move multiplication in front of addition in the order of operations

C To change addition to multiplicationD Parentheses do not change the order of operations

3 George started with the following expression: 6 – 2 ÷ 4 + 4 × 2

He then added the parentheses shown below. (6 – 2) ÷ 4 + 4 × 2

How do the parentheses change the order of operations for the expression?

A The parentheses change the order of operations from –, ×, +, ÷ to ×, ÷, –, +

B The parentheses change the order of operations from ÷, ×, –, + to –, ÷, ×, +

C The parentheses change the order of operations from –, ÷ , ×, + to ÷, ×, –, +

D The parentheses do not change the order of operations.


Describe Parentheses and Brackets

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Practice



1 Which choice gives the correct order of operationsneededtofindthevalueof

(6 – 2) ÷ 4 + 4 × 2?

A –, ×, +, ÷ B –, +, ×, ÷ C –, ÷, ×, + D +, ×, ÷, –


(3 × 2) – 6 ÷ 2 + 1?

A –, ×, +, ÷ B –, +, ×, ÷ C ×, –, ÷, + D ×, ÷, –, +

3 Which choice gives the correct order of operationsneededtofindthevalueof 7 × [(3 – 1) + 4] ÷ 2?

A –, ×, ÷, + B –, +, ×, ÷ C ×, ÷, –, + D +, ×, ÷, –


30 ÷ [15 x (6+ 3)] – 2?

A –, ×, +, ÷ B ÷, ×, +, – C ÷, +, ×, – D +, ×, ÷, –

5 Which is a reason to use parentheses in a numerical expression?

A You want addition to be performed prior to multiplication in an expression. B You want to change the subtraction operation into a division operation. C You want to change the value of a number in an expression.D The parentheses do not change the order of operations.

6 Alex started with the following expression. 9 x 6 – 2 + 4 ÷ 2?

He then added the parentheses shown below. 9(6 – 2) + 4 ÷ 2?

How does the parentheses change the order of operations for the expression?

A The parentheses changes the order of operations from ×, –, +, ÷ to ×, ÷, –, + B The parentheses changes the order of operations from ÷, ×, –, + to –, ÷, ×, + C The parentheses changes the order of operations from ×, ÷, –, + to –, ×, ÷, +D The parentheses do not change the order of operations


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1 Howdothebracketsandparenthesesaffecttheorderofoperationsfortheexpression 30 ÷ [15 x (6 + 3)] – 2?


2 Howdothebracketsandparenthesesaffecttheorderofoperationsfortheexpression [12 ÷ 6 (4 + 2)] – 3?

A The division operation is the second step. BThesubtractionoperationisthefirststep.C The multiplication operation is the second step.D The parentheses do not change the order of operations.

3 Howdothebracketsandparenthesesaffecttheorderofoperationsfortheexpression [(9 x 6) – 4 ÷ 3] + 2?


4 Howdothebracketsandparenthesesaffecttheorderofoperationsfortheexpression [(2 + 3) ÷ 4 – 6] × 2?

AThedivisionoperationisthefirststep.B The addition operation is the third step. C The multiplication operation is the last step.D The parentheses do not change the order of operations.


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Why is order important?

What is the correct order in which to simplify an expression?

How can grouping symbols be used to simplify mathematical expressions?


What is the value of the expression below?

[(8 x 6) – 9 ÷ 3] + 2

A 69

B 47

C 9

D 23

Simplify Numerical Expressions

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Name:TEKS 5.4F Readiness

1 What is the value of the expression below?

30−7 × (2 + 1)

A 69

B 47

C 9

D 23

2 A set of parentheses is missing from the expression below.

18–6+2•3+4

Which of the following expressions has the parentheses in the correct place for the expression to equal 10?

A 18–(6+2•3)+4B (18–6+2)•3+4C 18–6+(2•3+4)D 18–(6+2)•3+4

3 Which does not have the same solution as the expression below?

18−(3+2)× 2

A 3 x 6 – 5 x 2

B (12 + 5 x 4) ÷ 4

C [4 x (6 + 2) – 8] ÷ 3

D 18 – 3 + 2 x 2



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12 + 6 × (18−2)

A 106

B 108

C 58

D 142


[18−(4+2)]× 2

A 6

B 28

C 32

D 24

3 What is the value of the expression [(24 + 18) ÷ 3 – 2] x 4?

___________


28−4 ×(8−5)

A 72

B 187

C 40

D 16


(12 + 6) × (18−2)

A 106

B 108

C 34

D 288


13 – [2 x (8 – 3) + 2]

___________


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1 According to the order of operations, what is the second step in simplifying the expression below?

9(6 – 2) + 4 ÷ 2?

A (6 – 2)B 4 ÷ 2C 9 × 4D 4 + 4

2 A set of parentheses is missing from the expression below.

15÷5–2•3+4

Which of the following expressions has the parentheses in the correct place for the expression to equal 19?

A 15÷(5–2)•3+4B (15÷5–2)•3+4C 15÷5–(2•3+4)D 15÷(5–2•3)+4

3 Which of the following does not have the same solution as the expression below?

12+6×(10−2)

A 6 x 2 x (16 – 11)

B (38 – 32 ÷ 4) x 2

C 4 x (3 + 2) x 5 – 2

D 6 x 7 + 4 x 7 – 2 x 5

4 According to the order of operations, what is the third step in simplifying the expression (29 + 7) ÷ 3 – 6 × 2?

A 12 – 12B 6 x 2C 36 ÷ 3D (29 + 7)

5 According to the order of operations, what is the third step in simplifying the expression below?

12 ÷ 6 (4 + 2) – 3?

A 12 ÷ 6 C 6 × 6

B 2 × 6 D 12 – 3

6 Which of the following does not have the same solution as the expression 21−7×(2+1)?

A 36 – (15 + 3 x 5) – 6B 3 x 4 + 6 x 2 – 24C 40 ÷ (3 + 7) ÷ (3 – 1)D 3 x 7 – 4 x 5 – 1


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1 John was working on his expressions homework. When he completed his workshownbelowhecouldnotfindhis solution in the answer choice on his homework. Review John’s work below. Where did John go wrong?

(40 – 10) ÷ [3 x (6 + 4)] 30 ÷ [3 x (6 + 4)] Step 1 30 ÷ 3 x 10 Step 2 10 x 10 Step 3 100 Step 4

A Step 1B Step 2C Step 3D Step 4

2 Mataya was working with her shoulder partner, Nick, to solve an expression. Nick checked over her work and told her that her solution was incorrect. Where did Mataya go wrong?

24 + [(8 – 6) + 2] x 5 24 + (2 + 2) x 5 Step 1 24 + 4 x 5 Step 2 28 x 5 Step 3 140 Step 4

A Step 1B Step 2C Step 3D Step 4

3 Callie’s mom gave her $20 to go to the movies. She wants to buy popcorn, candy and a drink at the movies. Callie wantstofindtheamountofmoneyshewill have left for refreshments after purchasing her movie ticket.

Lookattheproblem-solvingstepsshown below. Arrange the steps in thecorrectordertofindoutifshewillhave enough money for the movie and refreshments.

Step P: Find the sum of the cost of the refreshments. Step Q: Identify the cost of the movie and the cost of refreshments.

StepR:Findthedifferencebetween$20 and the cost of the movie.

Step S: Compare the sum of the refreshmentswiththedifferenceofthe$20 and the movie.

Which list shows the steps in the correct order?

A R, Q, P, SB Q, R, S, PC Q, P, R, SD P, R, Q, S


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1 Heather was working in tutorials to solve an expression. She asked another student to check her work. He told her that her solution was incorrect. Where did Heather go wrong? [200-(4+6)x4]÷4

[200-10x4]÷ 4 Step 1 [190 x 4] ÷ 4 Step 2 760 ÷ 4 Step 3 190 Step 4

A Step 1

B Step 2

C Step 3

D Step 4

2 Carla’s mom gave her $25 to take to the carnival. She wants cotton candy. The rest she plans to spend on rides. If the cotton candy cost $1.25, and the tickets are 10 rides for $5, and no single tickets are sold, what does she need to do to determine how many tickets she can get?

A Subtract$1.25from$25,dividethedifferenceby$5andthenmultiplythequotient, without remainder, by 10

B Subtract$5from$25andthendividethedifferenceby10C Add $5 and $1.25 and then subtract the sum from $25D Multiply 10 by $5 and then subtract the product from $25

3 Garrick’s dad told him he would pay him $10 an hour to work in the yard. Garrick workedfor2hourspullingweedsintheflowerbed,1.5hoursmowingthelawnand3hourspruningthetrees.Whatmethodcouldbeusedtofindhowmuchhisdadpaid him at the end of the day?

A Add 2, 1.5, and 3 and then add the sum to $10B Multiply 2 by $10, multiply 1.5 by $10, multiply 3 and $10 and then multiply

their productsC Add 2, 1.5, and 3 and then subtract the sum from $10D Add 2, 1.5, and 3 and then multiply the sum by $10


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How can you use estimation to solve math problems?

Why would you want to use estimation to solve math problems?

How do you estimate to solve math problems?

Computations and Algebraic Relationships

A commercial airplane is loaded with 98 suitcases in the cargo department. Each suitcase weighs about 47 pounds. Which of the following is a reasonable estimate of the total weight of the suitcases?

A 3,600 poundsB 4,500 poundsC 5,000 poundsD 150 pounds

Estimate for Solutions

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GPComputations and Algebraic Relationships


1 The4-HClubhadanexhibitatthecountyfair.Theyhad a total of 198 visitors on Thursday and Friday night, 267 visitors on Saturday, and 153 visitors on Sunday. Which is the best estimate of the total numberofvisitorstothe4-Hboothduringthese4days?

A 600B 700C 900D 1,000

2 Kenny’sdadfilledthecarwith15.25gallonsofgasonMonday.OnThursdayhisdadfilledthecarwith13.63 gallons of gas. What is the best estimate of the amount of gas his dad bought in those two days to the nearest tenth of a gallon?

A 30 gallonsB 29 gallonsC 28.9 gallonsD 28.8 gallons

3 Reese owns vending machines. He used the following information to estimate the total number of bagsofchipsReeseneedstoordertofillhisvendingmachines.

●Therearevendingmachinesin5schools. ●Thereare10−15vendingmachinesineach

school. ●Thereare40−45bagsofchipsineach

machine.What is the best estimate of the total number of bags of chips Reese needs to purchase?

A 50 B 400C 1,500D 3,000



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IPComputations and Algebraic Relationships


1 Rachel bought gifts for each of 4 family members. The prices of the gifts were $72.95, $98.60, $51.15, and $127.45, including tax. Which is a reasonable total for the gifts?

A $300B $290C $250D $350

2 Syd planted 11 rows of green beans with 29 plants in each row. What is the best estimate of the total number of bean plants he planted?

A 200B 40C 300D 20

3 When all the checkout lanes at the local discount store are being used, 31 customers can be checked out every 15 minutes. Which is a reasonable estimate of how many customers can be checked out in a 1 hour period?

A 48B 120C 240D 465

4 Jerry earns an average of $28 per yard for mowing yards. Which is the best estimate of how much he would earn mowing 5 yards?

A $30B $60C $120D $150

5 Mr. Hillman is an author. He traveled 2,460 miles to Guatemala to learn about the people there. He wrote 528 pages of notes about the Guatemalan people. If he were to publish his writings in 6 books, what is the best estimate of the number of pages in each book?

A 90B 100C 120D 800

6 Andrea’s 2 highest scores on her favorite video game are 989 and 708. What is the best estimate of the differencebetweenthese2scores?

A 300B 400C 1,600D 1,700


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1 The table shows the number of boxes of cookies sold by the 4 teams of Girl Scoutsduringthefirstmonthofthesale.

Boxes of Cookies

437276

389

286

Teams

RedBlue

Green

Yellow

About how many boxes of cookies were sold during this month?A 1,200B 1,300C 1,400D 1,500

2 A cruise ship is getting ready to set sail for the Hawaiian Islands. The cruise line has sold 642 tickets for this trip. Island Tours Travel Agency sold 304 tickets, and Fun in the Sun Travel Agency sold 298 tickets. What is the best estimate of the number of tickets the 2 travel agencies have sold?A 500B 600C 700D 800

3 Rosa needs 14.2 yards of fabric to make curtains for her room. She also plans to use 9.7 yards of the same fabric for a bedspread. What is the best estimate of the amount of fabric she needs to the nearest yard?A 23.9B 24C 24.9D 30

4 CoachFullerisorderingt-shirtsforhis basketball camps. He used the following information to estimate the total number of camp attendees.

• Camps are held for 3 months.• There are 4 − 5 camps each month.• There are 100 − 125 attendees per

camp.

What is the best estimate of the total number of camp attendees?

A 1,000B 1,500C 2,500D 4,000

5 Calliewantedtofindthetotaldistancethat she ran in the last two days. The firstdaysheran5.26miles,andthesecond day she ran 6.17 miles. She added 5 and 6. Compare Callie’s estimate to the actual distance she ran. Explain why her estimate is more or less than the actual sum.

A Less, because she rounded both numbers up

B More, because she rounded both numbers up

C Less, because she rounded both numbers down

D More, because she rounded both numbers down


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Whatistheprocessformultiplyingathree-digitnumberbyatwo-digitnumber?

Howdoesplacevaluerelatetomultiplyingathree-digitnumberbyatwo-digitnumber?

Whatdoesfluencymean?


Fill in the boxes below to solve the multiplication problem.

380 x 62

+

Multiply Standard Algorithm

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Name:TEKS 5.3B Supporting

1 Dante collects baseball cards. He has 168 packages of cards. Each package contains 14 cards. How many baseball cards does Dante have altogether?

A 182B 672C 1680D 2352

2 TheRenaissanceHotelhasaballroomthatcanfit239 tables. 14 people can sit at each table. Tito solvestheproblembelowtofindthetotalnumberofpeople that can sit at the table in the ball room.

239 x 14

956 2391195

Tito says that 1,195 can sit in the ball room. Is Tito correct? Explain your answer.

3 Admission to an amusement park is $24 per student. Blackland Prairie Elementary plans on taking 260 students to the amusement park. How much will the admission to the amusement park cost altogether?

A $1,560 because (2 x 260) = 520 and (4 x 260) = 1,040 and 520 + 1040 = 1,560.

B $284 because 260 + 24 = 284C $10,920 because (2 x 260) = 520 and

(40 x 260) = 10,400 and 520 + 10,400 = 10,920.D $6,240 because (4 x 260) = 1,040 and

(20 x 260) = 5,200 and 1,040 + 5,200 = 6,240.


Multiply using Standard Algorithm

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1 Tao works at a nail salon. She charges $15 for a manicure and $20 for a pedicure. Last week Tao sold 71 manicures and 45 pedicures. Write a method using the standard algorithm that could be used to determine the amount of money Tao made on pedicures last week.

2 Each box of paper clips contains 24 paper clips. Syd bought a gross (144 boxes) of paper clips for his store. How many total paper clips did he buy? Show your work.

3 The Muleshoe Mules had a stadium full of people at their football game. They sold 824 general admission tickets at $2 and 554 reserved tickets at $5 each. How much money was collected at the ticket booth?

A $1,648 B $2,770 C $4,418 D Not Here

4 Felicita bought 4 jumbo size packages of stickers. Each package contained 32 sheets of stickers. There were 28 stickers on each sheet. How many stickers did Felicita buy?

A 3,584B 896C 224D Not Here

5 Carlos is going to plant 12 rows of tomato plants in his grandmother’s garden. She wants 102 plants on each row. He is also going to plant 14 rows of tomato plants in his mother’s garden. She wants 104 plants in each row. How many plants should Carlos buy?


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1 Thomas is pumping water from a pond to clean it out. The pump is pumping 720 gallons every hour. He pumped water for 23 hours. Thomas solved the problem below to determine how many total gallons of water he pumped from the pond.

720 x 23

2160+1440016,560

Step 1 Step 2Step 3

Is Thomas correct?

A Yes, Thomas is correct.B No, Thomas made a mistake in

Step 1.C No, Thomas made a mistake in

Step 2.D No, Thomas made a mistake in

Step 3.

2 Melissa works as a hair stylist. She charges $22 for each haircut. Last week, she cut hair for 308 people. How much money did Melissa make on haircuts last week?

A $6,600B $6,776C $6,666D $6,606

3 Daylight Donuts makes 345 dozen donuts every day. Which shows how many donuts they make in a single day?

A (345 x 1) + (345 x 20) = 7,245B (345 x 2) + (345 x 1) = 1,035C (345 x 2) + (345 x 10) = 4,140D (345 x 10) + (345 x 20) = 10,350

4 Complete the multiplication problem below.

861 x 24

+

5 The local movie theatre has 4,968 seats available for each movie. If each row in the theatre has the same number of seats, which represents the possible combination of rows and seats available?

A 46 rows of 108 seatsB 49 rows of 68 seats C 4,000 rows of 968 seatsD 52 rows of 92 seats


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1 Katie solved the multiplication problem below.

153 x 19

1377+1531,420

Step 1 Step 2Step 3

At which step did Katie make a mistake?

A Step 1B Step 2C Step 3D No mistake made

2 Kevin averaged 32 points a game for the last 186 basketball games. How could you determine the total number of points Kevin scored in those 186 games?

A (186 x 2) + (186 x 3) = 930B (186 x 3) + (186 x 20) = 4,278C (186 x 30) + (186 x 20) = 9,300D (186 x 2) + (186 x 30) = 5,952

3 Round Rock ISD is designing a new auditorium. The auditorium will have 108 rows ofseats.Eachrowwillseat75people.Whatisonewaytofindhowmanytotalseatsare in the auditorium?

A 183, because 75 + 108 = 183B 8,100, because (5 x 108) = 540 and (70 x 108) = 7,560 and 540 + 7,560 =

8,100.C 1,296, because (5 x 108) = 540 and (7 x 108) = 756 and 540 + 756 = 1,296.D 1,350, because (8 x 75) = 600 and(10 x 75) = 750 and 600 + 750 = 1,350.


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Whatisproficiency?

What does division mean?

What is the process for division?


A total of 840 students attend Fulkes Middle School and are split evenly into 40 classrooms. How many students are in each classroom?

A 800, because 840 – 40 = 600.

B 3, because 80 ÷ 40 = 2 and 40 ÷ 40 = 1 and 2 + 1 = 3.

C 33,600, because 40 x 800 = 3200 and 40 x 40 = 1600 and 3200 + 1600 = 33,600.

D 21, because 800 ÷ 40 = 20 and 40 ÷ 40 = 1 and 20 + 1 = 21.

Divide using Standard Algorithm

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1 Forest Creek Elementary School has 2,160 pencils. The principal wants to give an equal number of pencils to her 24 teachers. She set the division problem up below to determine how many pencils each teacher should receive. Fill out the boxes to helptheprincipalfinishherproblem.

2,16024

2 Heather is preparing for a triathlon. Every week she jogs 20 miles, swims 15 miles and bikes 25 miles. If Heather jogged for 460 miles, how many miles will she have swam and biked?

Swam ______________

Biked ______________

3 Coach Pool’s softball team is selling pies for a fundraiser. They need to sell 2,400 pies to reach their goal. If there are 32 members on the softball team, how many pies does each player need to sell to reach their goal?

A 75, because 240 divided by 32 is 70 with a remainder of 16 and 160 divided by 32 is 5.

B 80, because 240 divided by 3 is 80 and 0 divided by 2 is 0, then 80 + 0 = 80.

C 800, because 24 divided by 8 is 8 and 0 divided by 2 is 0 and 0 divided by 2 is 0.

D 40, because 30 x 2 is 60 and 2400 divided by 60 is 40.



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1 Tracey is buying decorations for a banquet. She wants to decorate tables with one balloon and one candle on each table. There are a total of 72 tables. Balloons are sold in packages of 6 and candles are sold in packages of 4. If Tracey has already bought 12 candles, how many more packages of candles does she need to buy?

2 Alex makes $30 for each lawn he mows and $15 for each bush he trims. Last week, Alex made a total of $570 mowing lawns and trimming bushes. If Alex mowed 9 lawns last week, how many bushes did he trim?

A 20B 61C 3D 9

3 The local cinema has a total of 720 seats in 6 theaters. Tickets to a movie cost $8 each. If each theater has the same number of seats, what is the maximum number ofmoviegoersthatcanfitinonetheater?

A 72B 12C 120D 90

4 Eduardo wants to make 108 hotdogs for his Fourth of July party. Hotdog buns are sold in packages of 8 and hotdogs wieners are sold in packages of 12. If Eduardo already has 20 hotdog buns, how many packages does he need to buy?

A 52B 21C 9D 11


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1 Mrs. McMullen has an egg farm. She is putting 132 eggs in cartons so they can be delivered to the store. Mrs. McMullen puts 12 eggs in each carton. Which method couldbeusedtofindhowmanycartonsofeggsMrs.McMullenwillfill?

A Divide 120 by 12 and divide 12 by 12, then add the quotients. B Multiply 12 times 100 and multiply 12 times 30, and 12 times 2, then add the

products.C Multiply 12 times 5 and then subtract the sum from 132D Subtract 12 from 132 then divide by 12.

2 Callie is getting ready for a bicycle ride. She wants to bike a total of 2,108 miles over the next 62 days. Use the problem set up below to determine how many miles Callie must bicycle each day to reach her goal.

2,10862

3 Oscar tried to solve the division problem below.

2,04010240

2 00 040 40

Step 1Step 2Step 3

00

InwhichstepdidOscarmakehisfirstmistake?

A Step 1B Step 2C Step 3D No Mistake Made


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How do you represent multiplication using models?

How do you use the area model to represent multiplication?

Why would you use models to represent multiplication of decimals?


Heatherwantstomakecookiesforherparty.Therecipecallsfor2.5cupsofflourforeach recipe. She wants to make 3.5 recipes. She created the area model below to help herfindouthowmuchfloursheneeds.

HowmuchflourdoesHeatherneedtomake3.5recipesofcookies?

A 8.75 cupsB 6.25 cupsC 6.50 cupsD 5.25 cups

Represent Multiplication of Decimals

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GP Represent Multiplication of DecimalsComputations and Algebraic Relationships

Name:TEKS 5.3D Supporting

1 The area model below represents 0.2 x 0.8.

What is 0.2 x 0.8?

_________________

2 Wynell is making quilts. She uses 2.3 meters of fabric for each quilt. If she makes a quilt for each of her four children, how much fabric does she need?

A 6.3 metersB 1.7 metersC 8.12 metersD 9.2 meters

3 Armando bought 2.6 pounds of grapes. The grapes cost $1.50 per pound.

How much did the 2.6 pounds of grapes cost?

_________________


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1 The area model below represents 0.4 x 0.7.

What is 0.4 x 0.7?

_________________

2 Sharmina wants to buy 2.5 pounds of grapes priced at $1.30 per pound, as modeled below.

How much will the bananas cost?

_________________

3 Heather runs 4.6 miles per hour for 1.3 hours, as modeled below.

How far did Heather run?

_________________

4 Kolton jogged at a pace of 3.2 miles per hour for 2.5 hours as modeled below.

How far did Kolton jog during the 2.5 hours?

A 8 milesB 6.29 milesC 7.99 milesD 8.09 miles

5 Liz wants to buy 2.8 pounds of peanuts that costs $0.80 per pound.

How much money will the peanuts cost?

_________________


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1 Dominique bought 0.8 gallons of gasoline for his lawn mower. He used 40% of that gasoline to mow his parents’ lawn, as modeled below.

How much gasoline did Dominique use to mow the lawn?

______________

2 Doc Mollenkopf is making gatorade. Each package can make 1.4 gallons of gatorade. Docuses1.6packagestomakethegatorade.Whichareamodelcanbeusedtofindhow much gatorade Doc Mollenkopf made?

A

C

B

D


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Why is place value necessary for understanding multiplication of decimals?

What are some ways you can multiply decimals?


Caleb bought 12 watermelons for $2.25 each. He wrote the expression below to helphimfindhowmuchthe12watermelonscostaltogether.

(12 x 2) + (12 x 0.25)

How much do the 12 watermelons cost?

A $24.00B $26.25C $324.00D $27.00

Solve Using Multiplication of Decimals

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Name:TEKS 5.3E Readiness

1 Marcus scored 2.25 points per game in the 20 basketball games he played last year. How many total points did Marcus score in these 20 games?

_____________

2 Naomi bought 4 candy bars for $1.32 each. Which does notshowamethodNaomicouldusetofindhow much money she spent on candy bars?

A (4 x 1) + (4 x 0.3) + (4 x 0.02)B (4 x 1) + (4 x 0.32)C 1.32 + 1.32 + 1.32 + 1.32D (4 x 1) + (4 x 3) + (4 x 2)

3 Jason is competing in a diving competition. Each judge score is combined to give Jason a total score. After his last dive each of the 4 judges gave Jason a 9.72. How many total points did Jason receive for that dive?

A 38.88, because (4 x 9) + (4 x 0.7) + (4 x 0.02) = 38.88

B 324, because (4 x 72) + (4 x 9) = 324

C 72, because (4 x 9) + (4 x 7) (4 x 2) = 72

D 39.6, because (4 x 9) + (4 x 0.7) + (4 x 0.20) = 39.6



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1 Arnold bought 14 kolaches for his morning practice. Each kolache cost $1.45. How much did Arnold spend on kolaches?

_____________

2 Melissa bought a steak that weighed 1.2 pounds. The steak cost $8.50 per pound. How much did Melissa spend on steak?

A 9, because (8 × 1) + (0.5 × 2) = 9B 8.04, because (8 × 1) + (0.5 × 0.2) = 8.04C 9.7, because 8.5 + 1.2 = 9.7D 10.2, because (1 × 8.5) + (0.2 × 8.5) = 10.2

3 Mario is running on the track at a speed of 6.5 miles per hour. How far will Mario run in 0.5 hours? Which method could be used to determine how far Mario will run in 0.5 hours?

A 6 + 0.5 + 0.5B (6 × 0.5) + (0.5 × 0.5)C (6 × 0.5) + 0.5D (6.5×1)−0.5

4 Miguel bought 18 corn dogs for $1.55 each. How much did Miguel spend on corn dogs?

_______________


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Name: Independent

Practice



1 Alex,Fred,andWillisaretryingtofindhowmuch32baseballscostat$2.50each.The methods for their calculations are shown below.

Alex32 + 32 + 16

Fred32 x 2 + 32 x 0.50

Willis64 + 16

Who will get the correct answer?

A AlexB FredC WillisD All are correct

2 Amanda purchased 2.4 yards of fabric. The fabric cost $1.75 per yard. Which method could Amanda not use to determine how much she spent on fabric?

A (2 x 1) + (2 x 0.75) + (4 x 1) + (0.4 x 0.75)B (1 x 2.4) + (0.75 x 2.4)C (2 x 1.75) + (0.4 x 1.75)D (2.4 x 1) + (2.4 x 0.7) + (2.4 x 0.05)

3 Patsy worked for 24.5 hours last week. She makes $9.70 per hour. How much money did she make last week?

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IndependentPractice



1 Alexis,Kristen,andSavanaharetryingtofindhowmuch12ticketstotherodeocost. Each ticket to the rodeo cost $14.50. The methods for their calculations are below.

Alexis10 x 14.50 + 2 x 14.50

Kristen10 x 14.50 + 14.50 + 14.50

Savanah10 x 12 + 4 x 12 + 0.5 x 12

Who will get the correct answer?

A AlexisB KristenC SavanahD All are correct

2 Donald purchased 8.4 yards of mulch for $2.50 per yard. Which method could Donald not use to determine how much he spent on mulch?

A (3×8.4)−(0.5×8.4)B (2 × 8.4) + (0.5 × 8.4)C (8 × 2.5) + (0.4 × 2.5)D (8 × 2) + (0.5 × 0.4)

3 Marcus scored 12.6 points per game last season playing in 25 games. How many total points did Marcus score last season?

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Name: Independent

Practice



1 Albert ran 5.5 miles per hour for 2.3 hours. How far did Albert run?

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2 Ronald bought 3.5 pounds of cashews for $1.70 a pound. Which method could be used to determine how much Ronald spent on cashews?A (3 × 1) + (0.7 × 0.5)B (3 × 1) + (3 × 0.7) + (0.5 × 1) + (0.5 × 0.7)C (3 × 1.7) + (3.5 × 0.7)D (3 × 1.7) + (0.5 × 1) + (1 × 3)

3 Hannahismakingcookies,therecipecallsfor1.5cupsofflour.Hannahwantstomake2.5recipes.HowmuchflourwillHannahneedtomake2.5recipesofcookies?

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4 Arturo makes $8.40 per hour. Last week he worked 15.5 hours. How much did Arturo make last week?

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TeachingModel

TM I can ...


How does the area model help to represent dividing decimals?

How do you use models to solve division problems?

What does division mean?

Represent Division of DecimalsComputations and Algebraic Relationships

Which best represents 0.24 ÷ 4?

A

C

B

D

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Name: Guided

Practice

GP Represent Division of DecimalsComputations and Algebraic Relationships

Name:TEKS 5.3F Supporting

1 2.8 is modeled below.

Which best represents 2.8 ÷ 2?

A

B

C

D

2 Bob bought 5 pounds of broccoli for $20.50. Complete the model below to determine how much each pound of broccoli cost.

20.50

5

20

5

0.50


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GuidedPractice

GP Represent Division of DecimalsComputations and Algebraic Relationships


3 Which best represents 3.5 ÷ 5?

A

B

C

D

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IndependentPractice

IP Represent Division of DecimalsComputations and Algebraic Relationships



A

C

B

D

2 Use the 10 x 10 blocks below to model 2.42 ÷ 3.

3 Oscar ran for 25.75 miles in 5 hours. Finish the model below to determine how fast Oscar was running.

25.75

5

25

5

0.75mph

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IndependentPractice

IP Represent Division of DecimalsComputations and Algebraic Relationships



A

C

B

D

2 The area model of 6.4 is shown below.

Use the model to show 6.4 ÷ 2.Sa

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Documents

Fifth Grade Math Book Student Edition - gfeducators.com Sample Books... · Fifth Grade . Math Book ... Classroom: Sape. Do Not Duplicate. Step Up to the TEKS. Fifth Grade . Math Book