Level 4 Assessments | Eureka Math2 Tennessee

A Story of Units®

Fractional Units ▸ 4 ASSESSMENT RESOURCES

Module

1

Place Value Concepts for Addition and Subtraction

2

Place Value Concepts for Multiplication and Division

3

Multiplication and Division of Multi-Digit Numbers

4

Foundations for Fraction Operations

5

Place Value Concepts for Decimal Fractions

6

Angle Measurements and Plane Figures

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EUREKA MATH2 Tennessee Edition

4

Contents Module 1: Place Value Concepts for Addition and Subtraction

Module 3: Multiplication and Division of Multi-Digit Numbers

Topic Quiz A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

Topic Quiz A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85

Multiplication as Multiplicative Comparison

Multiplication and Division of Multiples of Tens, Hundreds, and Thousands

Topic Quiz B . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 Place Value and Comparison within 1,000,000

Topic Quiz C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 Rounding Multi-Digit Whole Numbers

Topic Quiz D . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 Multi-Digit Whole Number Addition and Subtraction

Topic Quiz E. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Metric Measurement Conversion Tables

Module 1 Assessment. . . . . . . . . . . . . . . . . . . . . . 37

Module 2: Place Value Concepts for Multiplication and Division Topic Quiz A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 Compose and Decompose Units of Ten

Topic Quiz B . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 Multiplication of Tens and Ones by One-Digit Numbers

Topic Quiz C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55

Topic Quiz B . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 Division of Thousands, Hundreds, Tens, and Ones Topic Quiz C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 Multiplication of up to Four-Digit Numbers by One-Digit Numbers Topic Quiz D . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 Multiplication of Two-Digit Numbers by Two-Digit Numbers

Topic Quiz E. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 Problem Solving with Measurement Topic Quiz F. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 Estimate and Interpret Quotients and Products Module 3 Assessment . . . . . . . . . . . . . . . . . . . . 113

Module 4: Foundations for Fraction Operations Topic Quiz A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125 Fraction Decomposition and Equivalence

Division of Tens and Ones by One-Digit Numbers

Topic Quiz B . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 Equivalent Fractions

Topic Quiz D . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 Problem Solving with Measurement

Topic Quiz C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 Comparing Fractions

Topic Quiz E. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 Factors and Multiples

Topic Quiz D . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145 Adding and Subtracting Fractions

Module 2 Assessment . . . . . . . . . . . . . . . . . . . . . 71

Topic Quiz E. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149 Adding and Subtracting Mixed NumbersEquations

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4

Topic Quiz F. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153 Repeated Addition of Fractions as Multiplication

Module 4 Assessment . . . . . . . . . . . . . . . . . . . . 157

Module 6: Angle Measurements and Plane Figures Topic Quiz A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 209 Lines and Angles

Module 5: Place Value Concepts for Decimal Fractions

Topic Quiz B . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 217 Angle Measurement

Topic Quiz A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 171 Exploration of Tenths

Topic Quiz C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 225 Determine Unknown Angle Measures

Topic Quiz B . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179 Tenths and Hundreds

Topic Quiz D . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 233 Two-Dimensional Figures and Symmetry

Topic Quiz C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187 Comparison of Decimal Numbers

Module 6 Assessment . . . . . . . . . . . . . . . . . . . . 245

Topic Quiz D . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195 Addition of Tenths and Hundredths

Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . 257

Module 5 Assessment . . . . . . . . . . . . . . . . . . . . 199

2

© Great Minds PBC •

This document is the confidential information of Great Minds PBC provided solely for review purposes which may not be reproduced or distributed. All rights reserved.

A Story of Units®

Fractional Units ▸ 4 ASSESSMENT RESOURCES

Module

1

Place Value Concepts for Addition and Subtraction

2

Place Value Concepts for Multiplication and Division

3

Multiplication and Division of Multi-Digit Numbers

4

Foundations for Fraction Operations

5

Place Value Concepts for Decimal Fractions

6

Angle Measurements and Plane Figures

EUREKA MATH2 Tennessee Edition

Topic Quiz

A

4 ▸ M1 ▸ TA ▸ Topic Quiz A-1

Name

Date

1. Fill in the blanks to complete a statement that represents 24 = 6 × 4. Write one answer choice in each blank. Not all answer choices will be used.

is

.

Answer Choices

6

4

24

times as much as

more than

less than

2. Write an equation to represent that 63 is 9 times as much as 7.

3. Ray sells 5 tickets for the school fundraiser. Mia sells 3 times as many tickets as Ray. James sells 3 more tickets than Mia. How many tickets does James sell?

A. 11 B. 12 C. 18 D. 45

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TA ▸ Topic Quiz A-1

4. Fill in the blanks to complete two statements that represent 16 = 2 × 8. is

times as much as

.

is

times as much as

.

5. Carla completes 9 problems. Amy completes 36 problems.

Write a number to make the statement true.

Amy completes

6

times as many problems as Carla.

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TA ▸ Topic Quiz A-1

ANSWE R KE Y ▸ TOPIC QUIZ A-1 1. Fill in the blanks to complete a statement that represents 24 = 6 × 4. Write one answer choice in each blank. Not all answer choices will be used.

24

is

6

times as much as

4

.

Answer Choices

6

4

24

times as much as

more than

less than

2. Write an equation to represent that 63 is 9 times as much as 7.

63 = 9 × 7

3. Ray sells 5 tickets for the school fundraiser. Mia sells 3 times as many tickets as Ray. James sells 3 more tickets than Mia. How many tickets does James sell?

A. 11 B. 12 C. 18 D. 45 Distractor rationale: A. Incorrect. The student may have added all given values.

B. Incorrect. The student may have subtracted 3 from the product.

C. Correct.

D. Incorrect. The student may have multiplied all given values.

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TA ▸ Topic Quiz A-1

4. Fill in the blanks to complete two statements that represent 16 = 2 × 8.

16

is

2

times as much as

8

.

16

is

8

times as much as

2

.

5. Carla completes 9 problems. Amy completes 36 problems.

Write a number to make the statement true.

Amy completes

8

4

times as many problems as Carla.

AN SWER K E Y ▸ TOPIC QUIZ A-1

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EUREKA MATH2 Tennessee Edition

Topic Quiz

B

4 ▸ M1 ▸ TB ▸ Topic Quiz B-1

Name

Date

1. Fill in the blank to make the statement true.

2 hundreds is

times as much as 2 tens.

2. Which choices are equivalent to (8 × 10,000) + (7 × 1,000) + (5 × 100) + (3 × 1)?

Choose the two correct answers.

A. 87,530 B. 87,503 C. 807,503 D. Eighty-seven thousand, fifty-three E. Eight hundred seven thousand, five hundred three F. Eighty-seven thousand, five hundred three

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9

10

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10

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10,000

10,000

10,000

10,000

10,000

10,000

10,000

10,000

10,000

10

100,000

100,000

100,000

100,000

100,000

100,000

100 100

100,000

100,000

100,000

100,000

100,000

900,105

100,000

100,000

100,000

100,000

100

1

90,501

1

100,000

100,000

10

1

815,732

100,000

102,543

100

100

10

10

1,000

100

1,000

10

100,000

100

1,000

10

100,000

100,000

100

1,000

1,000

100,000

100,000

10,000

815,372

1

1,000

1,000

1

1,000

100,000

100,000

100,000

100,000

103,002

10,000

3. Compare each set of numbers by using >, =, or <. Use the models to help you.

100 100 100 100 100

1,000 1,000 1,000 1,000

100

100

100

10

10

10

10

100 100

10

10

10

100

100

100

1,000

1,000

1,000

1

1

1

1

1

1

1

1

1

1

4 ▸ M1 ▸ TB ▸ Topic Quiz B-1 EUREKA MATH2 Tennessee Edition

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TB ▸ Topic Quiz B-1

4. Write 504,080 in word form. Write one word from the given answer choices in each blank. Not all answer choices will be used.

Answer Choices zero

four

five

eight

ten

forty

fifty

eighty

hundred

thousand

5. Look at the number shown.

1 2 2,4 8 9 Circle an answer choice to make the statement true.

The value of the underlined digit is

times as much as the value of the circled digit.

2

10 20 100

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TB ▸ Topic Quiz B-1

6. Order the numbers from least to greatest. Write one number from the given answer choices in each blank.

Answer Choices

204,000

12

400,002

200,400

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420,000

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240,000

244,040

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TB ▸ Topic Quiz B-1

ANSWE R KE Y ▸ TOPIC QUIZ B -1 1. Fill in the blank to make the statement true.

2 hundreds is

10

times as much as 2 tens.

2. Which choices are equivalent to (8 × 10,000) + (7 × 1,000) + (5 × 100) + (3 × 1)?

Choose the two correct answers.

A. 87,530 B. 87,503 C. 807,503 D. Eighty-seven thousand, fifty-three E. Eight hundred seven thousand, five hundred three F. Eighty-seven thousand, five hundred three Distractor rationale:

A. Incorrect. The student may have confused 3 ones with 3 tens.

B. Correct.

C. Incorrect. The student may have confused 8 ten thousands with 8 hundred thousands.

D. Incorrect. The student may have confused 5 hundreds with 5 tens.

E. Incorrect. The student may have confused 8 ten thousands with 8 hundred thousands.

F.

Correct.

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14

AN SWER K E Y ▸ TOPIC QUIZ B-1

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10,000

10,000

10,000

10,000

10,000

10,000

10,000

10,000

10,000

100,000

100,000

100,000

100,000

100,000

100 100

100,000

100,000

100,000

100,000

100,000

900,105

100,000

<

100,000

100,000

100,000

100,000

100,000

815,732

100

1

90,501

1

1

<

100,000

102,543

100,000

10

10

815,372

1

1

>

100

100

10

10

1,000

100

1,000

10

100,000

100

1,000

10

10

100,000

100,000

100

1,000

1,000

100,000

100,000

10,000

1,000

1,000

1,000

100,000

100,000

100,000

100,000

103,002

10,000

3. Compare each set of numbers by using >, =, or <. Use the models to help you.

100 100 100 100 100

1,000 1,000 1,000 1,000

100

100

100

10

10

10

10

100 100

10

10

10

100

100

100

1,000

1,000

1,000

1

1

1

1

1

1

1

1

1

1

4 ▸ M1 ▸ TB ▸ Topic Quiz B-1 EUREKA MATH2 Tennessee Edition

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TB ▸ Topic Quiz B-1

4. Write 504,080 in word form. Write one word from the given answer choices in each blank. Not all answer choices will be used.

five

hundred

four

thousand

eighty

Answer Choices zero

four

five

eight

ten

forty

fifty

eighty

hundred

thousand

5. Look at the number shown.

1 2 2,4 8 9 Circle an answer choice to make the statement true.

The value of the underlined digit is

times as much as the value of the circled digit.

2

10 20 100

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A N SW E R K E Y ▸ TOPIC QU IZ B -1

15

EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TB ▸ Topic Quiz B-1

6. Order the numbers from least to greatest. Write one number from the given answer choices in each blank.

200,400

204,000

240,000

244,040

400,002

420,000

Answer Choices

204,000

16

400,002

200,400

AN SWER K E Y ▸ TOPIC QUIZ B-1

420,000

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240,000

244,040

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EUREKA MATH2 Tennessee Edition

Topic Quiz

C

4 ▸ M1 ▸ TC ▸ Topic Quiz C-1

Name

Date

1. Round each number to the nearest thousand. Use the number line to help you. Write one answer from the given answer choices in each blank. Numbers may be used more than once.

758,214

758,714

759,114

759,614

Rounded to the nearest thousand:

758,000

758,500

759,000

759,500

760,000

Answer Choices

750,000

757,000

758,000

759,000

760,000

800,000

2. Fill in the blanks to represent 371,492 in unit form in three different ways.

hundred thousands 7 ten thousands 1 thousand 4 hundreds 9 tens 2 ones

thousands 4 hundreds 9 tens 2 ones

hundreds 9 tens 2 ones

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TC ▸ Topic Quiz C-1

3. Which numbers round to 15,000 when rounded to the nearest thousand? Choose all that apply.

A. 14,198 B. 14,450 C. 14,510 D. 14,752 E. 15,382 F. 15,513

4. Ivan plots a point on the number line to represent 589,437.

400,000

450,000

500,000

550,000

600,000

Part A Circle an answer choice in each box to make the statements true.

589,437 is between 589,437 is

(B)

(A)

on the number line.

between the two values.

A

400,000 and 500,000 500,000 and 600,000

18

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B more than halfway less than halfway exactly halfway

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TC ▸ Topic Quiz C-1

Part B Circle an answer choice in each box to make the statements true.

589,437 is between 589,437 is

(D)

(C)

on the number line.

between the two values.

C

D

560,000 and 570,000

more than halfway

570,000 and 580,000

less than halfway

580,000 and 590,000

exactly halfway

Part C Round 589,437 to the nearest ten thousand and to the nearest hundred thousand.

Nearest ten thousand: Nearest hundred thousand:

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TC ▸ Topic Quiz C-1

ANSWER KE Y ▸ TOPIC QUIZ C-1 1. Round each number to the nearest thousand. Use the number line to help you. Write one answer from the given answer choices in each blank. Numbers may be used more than once.

Rounded to the nearest thousand:

758,000

758,500

758,214

758,714

759,114

759,614

758,000

759,000

759,000

760,000

759,000

759,500

760,000

Answer Choices

750,000

757,000

758,000

759,000

760,000

800,000

2. Fill in the blanks to represent 371,492 in unit form in three different ways.

3

hundred thousands 7 ten thousands 1 thousand 4 hundreds 9 tens 2 ones

371 thousands 4 hundreds 9 tens 2 ones 3,714 hundreds 9 tens 2 ones

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TC ▸ Topic Quiz C-1

3. Which numbers round to 15,000 when rounded to the nearest thousand? Choose all that apply.

A. 14,198

Distractor rationale: A. Incorrect. The student may have thought the number was more than halfway between 14,000 and 15,000.

B. 14,450 C. 14,510

B. Incorrect. The student may have thought the number was more than halfway between 14,000 and 15,000.

D. 14,752

C. Correct.

E. 15,382

D. Correct.

F. 15,513

E. Correct.

F.

Incorrect. The student may have thought the number was less than halfway between 15,000 and 16,000.

4. Ivan plots a point on the number line to represent 589,437.

400,000

450,000

500,000

550,000

600,000

Part A Circle an answer choice in each box to make the statements true.

589,437 is between 589,437 is

(B)

(A)

on the number line.

between the two values.

A

400,000 and 500,000 500,000 and 600,000

22

AN SWER K E Y ▸ TOPIC QUIZ C-1

B more than halfway less than halfway exactly halfway

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TC ▸ Topic Quiz C-1

Part B Circle an answer choice in each box to make the statements true.

589,437 is between 589,437 is

(D)

(C)

on the number line.

between the two values.

C

D

560,000 and 570,000

more than halfway

570,000 and 580,000

less than halfway

580,000 and 590,000

exactly halfway

Part C Round 589,437 to the nearest ten thousand and to the nearest hundred thousand.

Nearest ten thousand: 590,000 Nearest hundred thousand: 600,000

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A N SWE R K E Y ▸ TOPIC QU IZ C-1

23

EUREKA MATH2 Tennessee Edition

Topic Quiz

D

4 ▸ M1 ▸ TD ▸ Topic Quiz D-1

Name

Date

1. Match each addition problem to its sum. Write one number from the given answer choices in each box.

Addition Problem

Sum

3, 1 0 6 + 2, 0 4 0

3,106

2,400 a

3, 6 0 1 + 2, 0 4 0

Answer Choices

5,056

5,146

5,416

5,506

5,605

5,641

2. Subtract.

5 7, 4 5 3 − 4 8, 2 1 6

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4 0, 7 0 8 − 3 0, 5 9 2

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TD ▸ Topic Quiz D-1

3. Add.

6 9 5, 7 3 4 + 1 2 4, 5 8 1

4. Luke made a mistake when he subtracted 3,078 from 5,469. His work is shown.

3 7

5, 4 6 9 − 3, 0 7 8 2, 3 0 1 What was Luke’s mistake? Circle an answer choice in each box to make each statement true.

Luke renamed 4 hundreds as

(A)

.

Luke should have renamed 4 hundreds as

26

(B)

.

A

B

3 hundreds 1 ten

3 hundreds 1 ten

3 hundreds 7 tens

3 hundreds 7 tens

3 hundreds 10 tens

3 hundreds 10 tens

4 hundreds 0 tens

4 hundreds 0 tens

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TD ▸ Topic Quiz D-1

5. A plane has 55,192 gallons of fuel in its tank. The plane uses 17,243 gallons to fly to its first stop.

The plane uses 23,942 more gallons to fly to its second stop. At the second stop, a worker refills the tank completely. The tank can hold 65,000 total gallons.

How many gallons of fuel f does the worker need to refill the tank completely?

f=

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TD ▸ Topic Quiz D-1

ANSWER KE Y ▸ TOPIC QUIZ D -1 1. Match each addition problem to its sum. Write one number from the given answer choices in each box.

Addition Problem

Sum

3, 1 0 6 + 2, 0 4 0

5,146

3,106

2,400

5,506

a 3, 6 0 1 + 2, 0 4 0

5,641

Answer Choices

5,056

5,146

5,416

5,506

5,605

5,641

2. Subtract.

5 7, 4 5 3 − 4 8, 2 1 6 9, 2 3 7

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4 0, 7 0 8 − 3 0, 5 9 2 10, 1 1 6

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TD ▸ Topic Quiz D-1

3. Add.

6 9 5, 7 3 4 + 1 2 4, 5 8 1 8 2 0, 3 1 5

4. Luke made a mistake when he subtracted 3,078 from 5,469. His work is shown.

3 7

5, 4 6 9 − 3, 0 7 8 2, 3 0 1 What was Luke’s mistake? Circle an answer choice in each box to make each statement true.

Luke renamed 4 hundreds as

(A)

.

Luke should have renamed 4 hundreds as

30

(B)

.

A

B

3 hundreds 1 ten

3 hundreds 1 ten

3 hundreds 7 tens

3 hundreds 7 tens

3 hundreds 10 tens

3 hundreds 10 tens

4 hundreds 0 tens

4 hundreds 0 tens

AN SWER K E Y ▸ TOPIC QUIZ D -1

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TD ▸ Topic Quiz D-1

5. A plane has 55,192 gallons of fuel in its tank. The plane uses 17,243 gallons to fly to its first stop.

The plane uses 23,942 more gallons to fly to its second stop. At the second stop, a worker refills the tank completely. The tank can hold 65,000 total gallons.

How many gallons of fuel f does the worker need to refill the tank completely?

f = 50,993

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A N SWE R K E Y ▸ TOPIC QU IZ D-1

31

EUREKA MATH2 Tennessee Edition

Topic Quiz

E

4 ▸ M1 ▸ TE ▸ Topic Quiz E-1

Name

Date

1. Fill in the blank to make the statement true. Use the chart to help you.

(1 m) 100 cm

10 cm

1 cm

× 100 1 meter is

times longer than 1 centimeter.

2. Liz wants to buy a bicycle that costs $449. She has saved $125. She earns $50 walking dogs.

How much more money does she need to buy the bicycle?

Liz needs

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.

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This page may be reproduced for classroom use only.

33

EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TE ▸ Topic Quiz E-1

3. Fill in the blank to make the statement true. Use the chart to help you.

(1 L) 100 mL 1,000 mL

10 mL

1 mL

× 1,000 1 liter is

34

times as much as 1 milliliter.

This page may be reproduced for classroom use only.

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TE ▸ Topic Quiz E-1

ANSWE R KE Y ▸ TOPIC QUIZ E-1 1. Fill in the blank to make the statement true. Use the chart to help you.

(1 m) 100 cm

10 cm

1 cm

× 100 1 meter is

100

times longer than 1 centimeter.

2. Liz wants to buy a bicycle that costs $449. She has saved $125. She earns $50 walking dogs.

How much more money does she need to buy the bicycle?

Liz needs

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$274

.

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35

EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ TE ▸ Topic Quiz E-1

3. Fill in the blank to make the statement true. Use the chart to help you.

(1 L) 100 mL 1,000 mL

10 mL

1 mL

× 1,000 1 liter is

36

1,000

times as much as 1 milliliter.

AN SWER K E Y ▸ TOPIC QUIZ E-1

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EUREKA MATH2 Tennessee Edition

Module Assessment

4 ▸ M1 ▸ Module Assessment 1

Name

Date

1. Fill in the blank to make the statement true. Use the chart to help you.

(1 kg) 1,000 g

100 g

10 g

1g

× 1,000 A kilogram is

times as heavy as 1 gram.

2. Look at the number shown.

8,8 2 5 Fill in the blank to make the statement true.

The value of the underlined ​8​ is

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times as much as the value of the circled 8 ​ ​.

This page may be reproduced for classroom use only.

37

EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ Module Assessment 1

3. Oka plots a point on the number line to represent 453,182.

300,000

350,000

400,000

450,000

500,000

Part A Circle an answer choice in each box to make the statements true.

453,182 is between 453,182 is

(B)

(A)

on the number line.

between the two values.

A

300,000 and 400,000

B more than halfway less than halfway

400,000 and 500,000

exactly halfway

Part B Circle an answer choice in each box to make the statements true.

453,182 is between 453,182 is

(D)

(C)

on the number line.

between the two values.

C

D

430,000 and 440,000

more than halfway

440,000 and 450,000

less than halfway

450,000 and 460,000

exactly halfway

Part C Round 453,182 to the nearest ten thousand and to the nearest hundred thousand.

Nearest ten thousand: Nearest hundred thousand:

38

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ Module Assessment 1

4. Which number has the expanded notation ​​​(8 × 10,000)​ + ​(5 × 100)​ + ​(​​2 × 10​)​​​​?

8,520​ A. ​ B. ​ 80,502​ C. ​ 80,520​ D. ​ 85,020​

5. Compare the numbers. Write one symbol from the given answer choices in each blank. Symbols may be used more than once.

7​ 24,740 ​ 2​ 3,096​​

742,740​

Answer Choices

2,396​

​100,048​​

​>​

​=​

​<​

104,008​

6. Add or subtract.

1 9 3, 7 2 6 + 4 2 1, 8 4 3

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7 4 1, 8 3 2 − 5 1 9, 2 3 5

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39

EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ Module Assessment 1

7. Draw a model to represent that 1 ​ 2​is 4 ​ ​times as much as 3 ​ ​.

8. Fill in the blanks to complete two statements that represent 3 ​ 0 = 5 × 6​. ​​is

times as much as

​​ .

​​ is

times as much as

​​ .

9. Zara reads 7 ​ ​pages of a book. David reads​3​times as many pages as Zara. Pablo reads 4​ ​fewer pages than David. How many pages does Pablo read?

Pablo reads

​​ pages.

10. A farmer sells a total of 5 ​ 51,921​pounds of apples. The table shows the number of pounds of each type of apple the farmer sold.

Type of Apple

Pounds Sold

Granny Smith

2​ 44,568​

Red Delicious

​123,327​

McIntosh

m ​ ​

Find the number of pounds of McIntosh apples the farmer sold. Let m ​ ​represent the unknown.

m ​ =​ 40

​​​

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ Module Assessment 1

ANSWER KE Y ▸ MODULE ASSESSM ENT 1 1. Fill in the blank to make the statement true. Use the chart to help you.

(1 kg) 1,000 g

100 g

10 g

1g

× 1,000 A kilogram is

1,000

times as heavy as 1 gram.

2. Look at the number shown.

8,8 2 5 Fill in the blank to make the statement true.

The value of the underlined ​8​ is

© Great Minds PBC

10

times as much as the value of the circled 8 ​ ​.

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41

EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ Module Assessment 1

3. Oka plots a point on the number line to represent 453,182.

300,000

350,000

400,000

450,000

500,000

Part A Circle an answer choice in each box to make the statements true.

453,182 is between 453,182 is

(B)

(A)

on the number line.

between the two values.

A

300,000 and 400,000

B more than halfway less than halfway

400,000 and 500,000

exactly halfway

Part B Circle an answer choice in each box to make the statements true.

453,182 is between 453,182 is

(D)

(C)

on the number line.

between the two values.

C

D

430,000 and 440,000

more than halfway

440,000 and 450,000

less than halfway

450,000 and 460,000

exactly halfway

Part C Round 453,182 to the nearest ten thousand and to the nearest hundred thousand.

Nearest ten thousand: 450,000 Nearest hundred thousand: 500,000

42

AN SWER K E Y ▸ MODULE ASS ESSM E N T 1

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EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ Module Assessment 1

4. Which number has the expanded notation ​​​(8 × 10,000)​ + ​(5 × 100)​ + ​(​​2 × 10​)​​​​?

8,520​ A. ​

Distractor rationale: A. Incorrect. The student may have confused the ten thousands place with the thousands place.

B. ​ 80,502​ C. ​ 80,520​

B. Incorrect. The student may have confused the tens place with the ones place.

D. ​ 85,020​

C. Correct.

D. Incorrect. The student may have confused the hundreds place with the thousands place.

5. Compare the numbers. Write one symbol from the given answer choices in each blank. Symbols may be used more than once.

7​ 24,740 ​ < 2​ 3,096​​ > ​100,048​​

742,740​

Answer Choices

2,396​

<

​>​

​=​

​<​

104,008​

6. Add or subtract.

1 9 3, 7 2 6 + 4 2 1, 8 4 3 6 1 5, 5 6 9

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7 4 1, 8 3 2 − 5 1 9, 2 3 5 2 2 2, 5 9 7

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A N SW E R K E Y ▸ M OD U L E AS S E S S M E NT 1

43

EUREKA MATH2 Tennessee Edition

4 ▸ M1 ▸ Module Assessment 1

7. Draw a model to represent that 1 ​ 2​is 4 ​ ​times as much as 3 ​ ​.

Sample:

3 3

3

3

3

12 8. Fill in the blanks to complete two statements that represent 3 ​ 0 = 5 × 6​.

30

​​is

5

times as much as

6

​​ .

30 ​​ is

6

times as much as

5

​​ .

9. Zara reads 7 ​ ​pages of a book. David reads​3​times as many pages as Zara. Pablo reads ​ 4​fewer pages than David. How many pages does Pablo read?

Pablo reads

17

​​ pages.

10. A farmer sells a total of 5 ​ 51,921​pounds of apples. The table shows the number of pounds of each type of apple the farmer sold.

Type of Apple

Pounds Sold

Granny Smith

2​ 44,568​

Red Delicious

​123,327​

McIntosh

m ​ ​

Find the number of pounds of McIntosh apples the farmer sold. Let m ​ ​represent the unknown.

m ​ =​ 184,026 ​​​ 44

AN SWER K E Y ▸ MODULE ASS ESSM E N T 1

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A Story of Units®

Fractional Units ▸ 4 ASSESSMENT RESOURCES

Module

1

Place Value Concepts for Addition and Subtraction

2

Place Value Concepts for Multiplication and Division

3

Multiplication and Division of Multi-Digit Numbers

4

Foundations for Fraction Operations

5

Place Value Concepts for Decimal Fractions

6

Angle Measurements and Plane Figures

EUREKA MATH2 Tennessee Edition

Topic Quiz

A

4 ▸ M2 ▸ TA ▸ Topic Quiz A-1

Name

Date

1. Fill in the blanks to find 2 × 90.

2 × 90 = 2 ×

× 10

=

× 10

= 2. Which expressions are equal to 240? Choose the three correct answers.

A. 2 × 40 B. 4 × 6 × 10 C. 6 × 40 D. 12 × 2 E. 80 × 3 F. 80 × 30

3. Divide.

450 ÷ 9 =

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47

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TA ▸ Topic Quiz A-1

4. Robin draws a rectangle that has a width of 7 cm and a length of 30 cm. What is the area of Robin’s rectangle?

The area of Robin’s rectangle is

sq cm.

5. A rectangular swimming pool has an area of 160 square meters. The width of the pool is 8 meters. What is the length of the pool?

?m 8m

The area is 160 sq m.

A. 2 meters B. 20 meters C. 72 meters D. 80 meters

48

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EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TA ▸ Topic Quiz A-1

ANSWE R KE Y ▸ TOPIC QUIZ A-1 1. Fill in the blanks to find 2 × 90.

2 × 90 = 2 × =

18

=

180

9

× 10

× 10

2. Which expressions are equal to 240? Choose the three correct answers.

A. 2 × 40 B. 4 × 6 × 10 C. 6 × 40 D. 12 × 2 E. 80 × 3 F. 80 × 30

Distractor rationale: A. Incorrect. The student may have selected an answer choice with the same digits.

B. Correct.

C. Correct.

D. Incorrect. The student may have decomposed 24 ones instead of 24 tens.

E. Correct.

F.

Incorrect. The student may have decomposed 24 hundreds instead of 24 tens.

3. Divide.

450 ÷ 9 =

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50

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49

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TA ▸ Topic Quiz A-1

4. Robin draws a rectangle that has a width of 7 cm and a length of 30 cm. What is the area of Robin’s rectangle?

The area of Robin’s rectangle is

210 sq cm.

5. A rectangular swimming pool has an area of 160 square meters. The width of the pool is 8 meters. What is the length of the pool?

?m 8m

The area is 160 sq m.

A. 2 meters B. 20 meters C. 72 meters D. 80 meters Distractor rationale:

A. Incorrect. The student may have decomposed 16 ones instead of 16 tens.

B. Correct.

C. Incorrect. The student may have confused the area with the perimeter.

D. Incorrect. The student may have decomposed 16 tens into 8 tens plus 8 tens.

50

AN SWER K E Y ▸ TOPIC QUIZ A-1

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EUREKA MATH2 Tennessee Edition

Topic Quiz

B

4 ▸ M2 ▸ TB ▸ Topic Quiz B-1

Name

Date

1. Fill in the blanks to find 4 × 29.

4 × 29 = 4 × ( =( =

+ 9) × 20) + (

× 9)

+ 36

= 2. A restaurant sells 51 hot dogs. It sells 3 times as many burgers as hot dogs. It sells 5 more milkshakes than burgers. How many milkshakes does the restaurant sell?

A. 59 B. 148 C. 158 D. 765

3. Multiply.

43 × 3 =

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6 × 18 =

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51

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TB ▸ Topic Quiz B-1

4. Amy reads 73 pages of a book. Her mom reads 4 times as many pages. How many pages does Amy’s mom read?

pages.

Amy’s mom reads

5. Complete the area model to find 5 × 94. Write one value from the given answer choices in each blank. Values may be used more than once.

+

4

450

5 450 +

= Answer Choices

4

52

9

20

This page may be reproduced for classroom use only.

90

© Great Minds PBC •

459

470

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EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TB ▸ Topic Quiz B-1

ANSWE R KE Y ▸ TOPIC QUIZ B -1 1. Fill in the blanks to find 4 × 29.

4 × 29 = 4 × ( =( =

4 80

20

+ 9)

× 20) + (

4

× 9)

+ 36

= 116 2. A restaurant sells 51 hot dogs. It sells 3 times as many burgers as hot dogs. It sells 5 more milkshakes than burgers. How many milkshakes does the restaurant sell?

A. 59

Distractor rationale: A. Incorrect. The student may have added all the given values.

B. 148

B. Incorrect. The student may have subtracted 5 from the product.

C. 158

C. Correct.

D. 765

D. Incorrect. The student may have multiplied all the given values.

3. Multiply.

43 × 3 = 129

© Great Minds PBC

6 × 18 = 108

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53

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TB ▸ Topic Quiz B-1

4. Amy reads 73 pages of a book. Her mom reads 4 times as many pages. How many pages does Amy’s mom read?

Amy’s mom reads

292 pages.

5. Complete the area model to find 5 × 94. Write one value from the given answer choices in each blank. Values may be used more than once.

90

+

450

5

20

450 +

4 20

=

470

Answer Choices

4

54

9

20

AN SWER K E Y ▸ TOPIC QUIZ B-1

90

© Great Minds PBC •

459

470

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EUREKA MATH2 Tennessee Edition

Topic Quiz

C

4 ▸ M2 ▸ TC ▸ Topic Quiz C-1

Name

Date

1. Shen represents 52 ÷ 4 on a place value chart.

Complete the equations to show how Shen finds the quotient.

52 ÷ 4 = (

52 ÷ 4 = tens

÷ 4) + (

÷ 4)

= 10 +

ones

=

1 ten 3 ones

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55

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TC ▸ Topic Quiz C-1

2. Match each division expression to its quotient. Write one value from the given answer choices in each box.

Expression

Quotient

36 ÷ 3 40 ÷ 2 55 ÷ 5 63 ÷ 3

Answer Choices

10

3. Divide.

11

12

42 ÷ 3 =

20

21

22

252 ÷ 6 =

4. Which expression can be used to find 98 ÷ 7?

A. (49 ÷ 7) + (2 ÷ 7) B. (63 ÷ 7) × (35 ÷ 7) C. (70 ÷ 7) + (28 ÷ 7) D. (98 ÷ 5) + (98 ÷ 2)

56

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EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TC ▸ Topic Quiz C-1

ANSWER KE Y ▸ TOPIC QUIZ C-1 1. Shen represents 52 ÷ 4 on a place value chart.

Complete the equations to show how Shen finds the quotient.

52 ÷ 4 = (

52 ÷ 4 = tens

40

= 10 +

ones

=

÷ 4) + (

12

÷ 4)

3

13

1 ten 3 ones

© Great Minds PBC

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57

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TC ▸ Topic Quiz C-1

2. Match each division expression to its quotient. Write one value from the given answer choices in each box.

Expression

Quotient

36 ÷ 3

12

40 ÷ 2

20

55 ÷ 5

11

63 ÷ 3

21

Answer Choices

10

3. Divide.

11

42 ÷ 3 =

12

14

20

252 ÷ 6 =

21

22

42

4. Which expression can be used to find 98 ÷ 7?

A. (49 ÷ 7) + (2 ÷ 7) B. (63 ÷ 7) × (35 ÷ 7) C. (70 ÷ 7) + (28 ÷ 7) D. (98 ÷ 5) + (98 ÷ 2)

Distractor rationale: A. Incorrect. The student may have used factors to decompose the dividend.

B. Incorrect. The student may have multiplied the partial quotients instead of adding them.

C. Correct.

D. Incorrect. The student may have decomposed the divisor instead of the dividend.

58

AN SWER K E Y ▸ TOPIC QUIZ C-1

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EUREKA MATH2 Tennessee Edition

Topic Quiz

D

4 ▸ M2 ▸ TD ▸ Topic Quiz D-1

Name

Date

1. Fill in the blank to make a true statement. Use the model to help you.

1 ft

1 yd

1 yard is

© Great Minds PBC •

times as long as 1 foot.

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This page may be reproduced for classroom use only.

59

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TD ▸ Topic Quiz D-1

2. Match each rectangle with its perimeter. Write one perimeter from the given answer choices in each box.

Rectangle

Perimeter

2 ft 3 ft

​

2 ft 5 ft

5 ft 5 ft

7 ft 5 ft

Answer Choices

​6 ft​

60

​7 ft​

​10 ft​

​14 ft​

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​16 ft​

​20 ft​

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​24 ft​

​25 ft​

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EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TD ▸ Topic Quiz D-1

3. The area of a rectangle is ​91​ square inches. The width is ​7​ inches. What is the length of the rectangle?

inches 4. Liz cuts ribbon into 8-inch long pieces. She needs to cut 15 pieces. How many total inches of ribbon does she need?

inches 5. The width of a rectangle is ​4​ inches. The length is ​3​ times as long as the width. What is the perimeter of the rectangle?

A. ​7​ inches B. ​16​ inches C. ​32​ inches D. ​48​ inches

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61

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TD ▸ Topic Quiz D-1

ANSWER KE Y ▸ TOPIC QUIZ D -1 1. Fill in the blank to make a true statement. Use the model to help you.

1 ft

1 yd

1 yard is

© Great Minds PBC

3

times as long as 1 foot.

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63

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TD ▸ Topic Quiz D-1

2. Match each rectangle with its perimeter. Write one perimeter from the given answer choices in each box.

Rectangle

Perimeter

2 ft 3 ft

​10 ft

​

2 ft 14 ft

5 ft

5 ft 20 ft

5 ft

7 ft 24 ft

5 ft

Answer Choices

​6 ft​

64

​7 ft​

​10 ft​

​14 ft​

AN SWER K E Y ▸ TOPIC QUIZ D -1

​16 ft​

​20 ft​

© Great Minds PBC •

​24 ft​

​25 ft​

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EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TD ▸ Topic Quiz D-1

3. The area of a rectangle is ​91​ square inches. The width is ​7​ inches. What is the length of the rectangle?

13

inches

4. Liz cuts ribbon into 8-inch long pieces. She needs to cut 15 pieces. How many total inches of ribbon does she need?

120

inches

5. The width of a rectangle is ​4​ inches. The length is ​3​ times as long as the width. What is the perimeter of the rectangle?

A. ​7​ inches B. ​16​ inches C. ​32​ inches D. ​48​ inches

© Great Minds PBC •

Distractor rationale: A. Incorrect. The student may have added the given numbers.

B. Incorrect. The student may have added one length and one width.

C. Correct.

D. Incorrect. The student may have multiplied the length by the width.

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A N SWE R K E Y ▸ TOPIC QU IZ D-1

65

EUREKA MATH2 Tennessee Edition

Topic Quiz

E

4 ▸ M2 ▸ TE ▸ Topic Quiz E-1

Name

Date

1. Which numbers are factors of 18? Choose all that apply.

A. 3 B. 4 C. 9 D. 18 E. 36 F. 81 2. Decide whether each number is prime or composite.

Number

Prime

Composite

7 9 30 53 3. Which numbers have 45 as a multiple? Choose the three correct answers.

A. 4 B. 5 C. 9 D. 10 E. 15 F. 90

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67

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TE ▸ Topic Quiz E-1

4. The pattern shown repeats the shapes triangle, circle, circle.

Fill in the blanks to continue the pattern. Draw one shape from the given answer choices in each blank. Choices may be used more than once.

Answer Choices

5. Which number is a multiple of 8?

A. 4 B. 18 C. 32 D. 84 6. List all 6 factors of 28. Use the grid to help you. ,

68

,

,

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,

,

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EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TE ▸ Topic Quiz E-1

ANSWE R KE Y ▸ TOPIC QUIZ E-1 1. Which numbers are factors of 18? Choose all that apply.

A. 3

Distractor rationale: A. Correct.

B. 4

B. Incorrect. The student may have selected a factor of the digit in the ones place.

C. 9

C. Correct.

D. 18

D. Correct.

E. 36

E. Incorrect. The student may have selected a multiple instead of a factor.

F. 81

F.

Incorrect. The student may have selected a number with the same digits.

2. Decide whether each number is prime or composite.

Number

Prime

7

X

Composite

9

X

30

X

53

X

3. Which numbers have 45 as a multiple? Choose the three correct answers.

A. 4 B. 5 C. 9 D. 10 E. 15 F. 90

© Great Minds PBC

Distractor rationale:

A. Incorrect. The student may have thought that a 4 in the tens place makes the number a multiple of 4.

B. Correct.

C. Correct.

D. Incorrect. The student may have selected a number that shares a factor with 45.

E. Correct.

F.

Incorrect. The student may have selected a multiple instead of a factor.

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69

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ TE ▸ Topic Quiz E-1

4. The pattern shown repeats the shapes triangle, circle, circle.

Fill in the blanks to continue the pattern. Draw one shape from the given answer choices in each blank. Choices may be used more than once.

Answer Choices

5. Which number is a multiple of 8?

A. 4 B. 18 C. 32 D. 84

Distractor rationale: A. Incorrect. The student may have selected a factor instead of a multiple.

B. Incorrect. The student may have thought that an 8 in the ones place makes the number a multiple of 8.

C. Correct.

D. Incorrect. The student may have thought that an 8 in the tens place makes the number a multiple of 8.

6. List all 6 factors of 28. Use the grid to help you.

Sample:

70

1

,

2

,

AN SWER K E Y ▸ TOPIC QUIZ E-1

4

,

7

,

14

,

28

© Great Minds PBC •

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EUREKA MATH2 Tennessee Edition

Module Assessment

4 ▸ M2 ▸ Module Assessment 1

Name

Date

1. Which numbers are multiples of 4? Choose the three correct answers.

A. 2 B. 8 C. 14 D. 20 E. 43 F. 80 2. Think about the number 27.

Part A List all the factors of 27. Use the grid to help you.

Part B Which statement is true about the number 27?

A. 27 is a prime number because it is odd.

B. 27 is a composite number because it is odd.

C. 27 is a prime number because it only has 2 factors.

D. 27 is a composite number because it has more than 2 factors.

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71

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ Module Assessment 1

3. Multiply or divide.

34 × 6 =

148 ÷ 4 =

4. Which expression can be used to find 252 ÷ 3?

A. (24 ÷ 3) + (12 ÷ 3) B. (240 ÷ 3) + (12 ÷ 3) C. (250 ÷ 3) + (12 ÷ 3) D. (252 ÷ 2) + (252 ÷ 1) 5. Complete the area model and the equation to find 7 × 23.

+

20 7

21 +

72

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=

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EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ Module Assessment 1

6. Pablo multiplies 8 × 14 by using the distributive property. His work is shown.

8 × 14 = 8 × (1 + 4) = (8 × 1) + (8 × 4) = 8 + 32 = 40 Pablo made a mistake. Explain the mistake and find the correct product.

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This page may be reproduced for classroom use only.

73

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ Module Assessment 1

7. Find the area and perimeter of the rectangle shown.

Write an answer from the given choices in each blank.

15 in 5 in

The area is

.

The perimeter is

.

Answer Choices

74

20

35

40

75

95

150

inches

square inches

This page may be reproduced for classroom use only.

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EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ Module Assessment 1

8. Oka finds 94 ÷ 2 by using a place value chart. Her work is shown.

94 ÷ 2 =

42

tens

ones

4 tens 2 ones

Oka made a mistake. Explain her mistake and find the correct quotient.

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This page may be reproduced for classroom use only.

75

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ Module Assessment 1

9. Liz starts at the number 3. She creates a pattern by using the rule: Add 3.

Part A Complete the first six terms in Liz’s pattern.

3,

,

,

,

,

Part B Will the 80th term in the pattern be even or odd? Explain how you know.

10. Luke drives 9 miles. Carla drives 13 times as many miles as Luke. How many miles does Carla drive?

Carla drives

76

miles.

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EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ Module Assessment 1

ANSWER KE Y ▸ MODULE ASSESSM ENT 1 1. Which numbers are multiples of 4? Choose the three correct answers.

A. 2

Distractor rationale:

B. 8

A. Incorrect. The student may have selected a factor instead of a multiple.

C. 14

B. Correct.

D. 20

C. Incorrect. The student may have thought that a 4 in the ones place makes the number a multiple of 4.

E. 43

D. Correct.

F. 80

E. Incorrect. The student may have thought that a 4 in the tens place makes the number a multiple of 4.

F.

Correct.

2. Think about the number 27.

Part A List all the factors of 27. Use the grid to help you.

Sample:

Scoring Notes for Item 2 Part A Points Description Student response includes the following component: 1 •

Reasoning: 1 point The student correctly lists all the factors of 27.

1, 3, 9, 27 0

© Great Minds PBC

Student response is missing or incorrect.

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77

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ Module Assessment 1

Part B Which statement is true about the number 27?

A. 27 is a prime number because it is odd.

B. 27 is a composite number because it is odd.

C. 27 is a prime number because it only has 2 factors.

D. 27 is a composite number because it has more than 2 factors.

Distractor rationale: A. Incorrect. The student may have thought that odd numbers are always prime.

B. Incorrect. The student may have thought all odd numbers are composite.

C. Incorrect. The student may have thought that 27 only has 2 factors.

D. Correct.

3. Multiply or divide.

34 × 6 =

204

148 ÷ 4 =

37

4. Which expression can be used to find 252 ÷ 3?

A. (24 ÷ 3) + (12 ÷ 3) B. (240 ÷ 3) + (12 ÷ 3) C. (250 ÷ 3) + (12 ÷ 3) D. (252 ÷ 2) + (252 ÷ 1)

Distractor rationale:

A. Incorrect. The student may have decomposed 252 into 24 ones and 12 ones instead of 24 tens and 12 ones.

B. Correct.

C. Incorrect. The student may have decomposed 252 into 25 tens and 12 ones.

D. Incorrect. The student may have decomposed the divisor instead of the dividend.

78

AN SWER K E Y ▸ MODULE ASS ESSM E N T 1

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EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ Module Assessment 1

5. Complete the area model and the equation to find 7 × 23.

+

20 7

140 140 +

3 21

21

=

161

6. Pablo multiplies 8 × 14 by using the distributive property. His work is shown.

8 × 14 = 8 × (1 + 4) = (8 × 1) + (8 × 4) = 8 + 32 = 40 Pablo made a mistake. Explain the mistake and find the correct product.

Scoring Notes for Item 6 Points Description Student response includes the following components: 2

1 0

© Great Minds PBC •

•

Reasoning: 1 point The student correctly explains the mistake Pablo made.

•

Computation: 1 point The student provides the correct product.

Pablo decomposed 14 into 1 one and 4 ones. He should have decomposed 14 into 1 ten and 4 ones. The correct product is 112.

Student response includes 1 of the 2 components.

Student response is missing or entirely incorrect.

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A N SW E R K E Y ▸ M OD U L E AS S E S S M E NT 1

79

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ Module Assessment 1

7. Find the area and perimeter of the rectangle shown.

Write an answer from the given choices in each blank.

15 in 5 in

The area is

75

The perimeter is

square inches .

40

inches

.

Answer Choices

80

20

35

40

75

95

150

inches

square inches

AN SWER K E Y ▸ MODULE ASS ESSM E N T 1

© Great Minds PBC •

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EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ Module Assessment 1

8. Oka finds 94 ÷ 2 by using a place value chart. Her work is shown.

94 ÷ 2 =

42

tens

ones

4 tens 2 ones

Oka made a mistake. Explain her mistake and find the correct quotient.

Scoring Notes for Item 8 Points Description Student response includes the following components: 2

1 0

© Great Minds PBC •

•

Reasoning: 1 point The student correctly explains the mistake Oka made.

•

Computation: 1 point The student provides the correct quotient.

Oka did not divide the remaining 1 ten. She should have decomposed the remaining 1 ten into 10 ones so she could divide it evenly by 2. The correct quotient is 47.

Student response includes 1 of the 2 components.

Student response is missing or entirely incorrect.

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A N SW E R K E Y ▸ M OD U L E AS S E S S M E NT 1

81

EUREKA MATH2 Tennessee Edition

4 ▸ M2 ▸ Module Assessment 1

9. Liz starts at the number 3. She creates a pattern by using the rule: Add 3.

Part A Complete the first six terms in Liz’s pattern.

3,

6

,

9

,

12

,

15

,

18

Part B Will the 80th term in the pattern be even or odd? Explain how you know.

Scoring Notes for Item 9 Part B Points Description Student response includes the following component: 1 •

0

Reasoning: 1 point The student provides a correct explanation for why the 80th term will be even.

The 80th term will be even. All the even number terms in the pattern will be even.

Student response is missing or incorrect.

10. Luke drives 9 miles. Carla drives 13 times as many miles as Luke. How many miles does Carla drive?

Carla drives

82

117 miles.

AN SWER K E Y ▸ MODULE ASS ESSM E N T 1

© Great Minds PBC •

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A Story of Units®

Fractional Units ▸ 4 ASSESSMENT RESOURCES

Module

1

Place Value Concepts for Addition and Subtraction

2

Place Value Concepts for Multiplication and Division

3

Multiplication and Division of Multi-Digit Numbers

4

Foundations for Fraction Operations

5

Place Value Concepts for Decimal Fractions

6

Angle Measurements and Plane Figures

EUREKA MATH2 Tennessee Edition

Topic Quiz

A

4 ▸ M3 ▸ TA ▸ Topic Quiz A-1

Name

Date

1. Which expression can you use to find 600 × 4?

A. (6 × 4) × 100 B. (6 × 4) + 100 C. (60 × 4) × 100 D. (6 × 4) × 10

2. Multiply.

3 × 7,000 =

20 × 90 =

3. Match each expression to its value. Write one value from the given answer choices in each box.

Expression

Value

400 ÷ 5 5 × 80 80 × 50 4,000 ÷ 5

Answer Choices

40

© Great Minds PBC •

80

130

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400

800

1,300

4,000

8,000

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85

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TA ▸ Topic Quiz A-1

4. Divide.

450 ÷ 9 =

2,800 ÷ 7 =

5. Zara found 30 × 20. Her work is shown.

30 × 20 = 3 tens × 2 = 6 tens = 60 Circle an answer choice in each box to make each statement true.

Zara made a mistake. She multiplied 3 tens by 2 3 tens by 2 (B) to get (C) .

86

(A) to get 60. She should have multiplied

A

B

C

ones

ones

60

tens

tens

600

hundreds

hundreds

6,000

This page may be reproduced for classroom use only.

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EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TA ▸ Topic Quiz A-1

ANSWE R KE Y ▸ TOPIC QUIZ A-1 1. Which expression can you use to find 600 × 4?

A. (6 × 4) × 100

Distractor rationale: A. Correct.

B. (6 × 4) + 100

B. Incorrect. The student may have correctly decomposed 600 into 6 and 100 but used addition instead of multiplication.

C. (60 × 4) × 100 D. (6 × 4) × 10

C. Incorrect. The student may have decomposed 600 into 60 × 100.

D. Incorrect. The student may have decomposed 600 into 6 × 10 before applying the associative property.

2. Multiply.

3 × 7,000 =

21,000

20 × 90 =

1,800

3. Match each expression to its value. Write one value from the given answer choices in each box.

Expression

Value

400 ÷ 5

80

5 × 80

400

80 × 50

4,000

4,000 ÷ 5

800

Answer Choices

40

© Great Minds PBC

80

130

400

800

1,300

4,000

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8,000

87

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TA ▸ Topic Quiz A-1

4. Divide.

450 ÷ 9 =

50

2,800 ÷ 7 =

400

5. Zara found 30 × 20. Her work is shown.

30 × 20 = 3 tens × 2 = 6 tens = 60 Circle an answer choice in each box to make each statement true.

Zara made a mistake. She multiplied 3 tens by 2 3 tens by 2 (B) to get (C) .

88

(A) to get 60. She should have multiplied

A

B

C

ones

ones

60

tens

tens

600

hundreds

hundreds

6,000

AN SWER K E Y ▸ TOPIC QUIZ A-1

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EUREKA MATH2 Tennessee Edition

Topic Quiz

B

4 ▸ M3 ▸ TB ▸ Topic Quiz B-1

Name

Date

1. Which area model shows 1,872 ÷ 6?

A.

6

B.

6

C.

6

D.

6

© Great Minds PBC •

3,000

10

2

1,800

60

12

300

10

2

1,800

60

12

200

100

2

1,200

600

12

30

10

2

1,800

60

12

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89

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TB ▸ Topic Quiz B-1

2. Match each expression to its quotient. Write one value from the given answer choices in each box.

Expression

Quotient

412 ÷ 4 256 ÷ 4 136 ÷ 4 172 ÷ 4

Answer Choices

13

34

43

46

64

103

304

604

3. Robin represented 729 ÷ 3 on a place value chart.

Complete the equations to show how Robin found the quotient. hundreds

tens

ones

729 ÷ 3 =

hundreds +

tens +

ones

=

90

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EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TB ▸ Topic Quiz B-1

4. Divide.

441 ÷ 7 =

1,758 ÷ 6 =

5. Shen found 9,558 ÷ 9. His work is shown.

9, 5 5 8 ÷ 9 = 1 6 2

2 60 100 9 9, 5 5 8 −9 000 558 −540 18 −18 0 Part A

Circle an answer choice in the box to make the statement true. .

Shen made a mistake when dividing the

18 ones 55 tens 9 thousands

Part B Fill in the blank to make the statement true.

The correct answer is

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.

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91

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TB ▸ Topic Quiz B-1

ANSWE R KE Y ▸ TOPIC QUIZ B -1 1. Which area model shows 1,872 ÷ 6?

3,000

10

2

1,800

60

12

300

10

2

1,800

60

12

200

100

2

1,200

600

12

30

10

2

1,800

60

12

A.

6

B.

6

C.

6

D.

6

Distractor rationale:

A. Incorrect. The student may have incorrectly found 1,800

÷ 6.

B. Correct.

C. Incorrect. The student may have incorrectly decomposed 1,872.

D. Incorrect. The student may have incorrectly found 1,800

© Great Minds PBC

÷ 6.

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93

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TB ▸ Topic Quiz B-1

2. Match each expression to its quotient. Write one value from the given answer choices in each box.

Expression

Quotient

412 ÷ 4

103

256 ÷ 4

64

136 ÷ 4

34

172 ÷ 4

43

Answer Choices

13

34

43

46

64

103

304

604

3. Robin represented 729 ÷ 3 on a place value chart.

Complete the equations to show how Robin found the quotient. hundreds

tens

ones

729 ÷ 3 = =

94

AN SWER K E Y ▸ TOPIC QUIZ B-1

2

hundreds +

4

tens +

3

ones

243

© Great Minds PBC •

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EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TB ▸ Topic Quiz B-1

4. Divide.

441 ÷ 7 =

63

1,758 ÷ 6 =

293

5. Shen found 9,558 ÷ 9. His work is shown.

9, 5 5 8 ÷ 9 = 1 6 2

2 60 100 9 9, 5 5 8 −9 000 558 −540 18 −18 0 Part A

Circle an answer choice in the box to make the statement true. .

Shen made a mistake when dividing the

18 ones 55 tens 9 thousands

Part B Fill in the blank to make the statement true.

The correct answer is

© Great Minds PBC •

1,062

.

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A N SW E R K E Y ▸ TOPIC QU IZ B -1

95

EUREKA MATH2 Tennessee Edition

Topic Quiz

C

4 ▸ M3 ▸ TC ▸ Topic Quiz C-1

Name

Date

1. Ray represented 4 × 312 on a place value chart.

Complete the equations to show how Ray found the product. hundreds

tens

ones

4 × 312 = (4 ×

) + (4 ×

=

+

) + (4 ×

)

+

=

2. Match each expression to its product. Write one value from the given answer choices in each box.

Expression

Product

3 × 402 3 × 204 3 × 240 3 × 420

Answer Choices

© Great Minds PBC •

126

180

612

720

1,206

1,260

1,800

6,120

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97

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TC ▸ Topic Quiz C-1

3. Fill in each box to find the product.

×

518 7

+

70 56

4. Multiply.

6 × 729 =

9 × 2,183 =

5. Which area model shows 9 × 537?

A.

9

B.

9

C.

9

D.

9

98

500

30

7

450

270

63

500

30

7

4,500

27

63

500

30

7

4,500

270

63

500

70

3

4,500

630

27

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© Great Minds PBC •

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EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TC ▸ Topic Quiz C-1

ANSWER KE Y ▸ TOPIC QUIZ C-1 1. Ray represented 4 × 312 on a place value chart.

Complete the equations to show how Ray found the product. hundreds

tens

ones

4 × 312 = (4 ×

300 ) + (4 ×

=

1,200

=

1,248

+

40

10 +

) + (4 ×

2

)

8

2. Match each expression to its product. Write one value from the given answer choices in each box.

Expression

Product

3 × 402

1,206

3 × 204

612

3 × 240

720

3 × 420

1,260

Answer Choices

© Great Minds PBC

126

180

612

720

1,206

1,260

1,800

6,120

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99

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TC ▸ Topic Quiz C-1

3. Fill in each box to find the product.

518 7

×

3500 70 + 56 3,6 2 6 4. Multiply.

6 × 729 =

4,374

9 × 2,183 =

19,647

5. Which area model shows 9 × 537?

A.

9

B.

9

C.

9

D.

9

100

500

30

7

450

270

63

500

30

7

4,500

27

63

500

30

7

4,500

270

63

500

70

3

4,500

630

27

AN SWER K E Y ▸ TOPIC QUIZ C-1

Distractor rationale: A. Incorrect. The student may have incorrectly multiplied 9 × 500.

B. Incorrect. The student may have incorrectly multiplied 9 × 30.

C. Correct.

D. Incorrect. The student may have chosen an area model that represents 9 × 573.

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EUREKA MATH2 Tennessee Edition

Topic Quiz

D

4 ▸ M3 ▸ TD ▸ Topic Quiz D-1

Name

Date

1. Match each expression to its product. Write one value from the given answer choices in each box.

Expression

Product

31 × 20 45 × 30 41 × 30 13 × 40

Answer Choices

80

412

520

620

1,215

1,230

1,350

1,500

2. Fill in the blanks to find 63 × 42.

63 × 42 = (

+ 3) × 42

= (

× 42) + (

× 42)

= (60 × 40) + (60 × 2) + (3 × =

+ 120 +

) + (3 ×

)

+6

=

© Great Minds PBC •

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101

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TD ▸ Topic Quiz D-1

3. Multiply.

42 × 14 =

26 × 37 =

39 × 58 =

4. Four students use partial products to find 54 × 31. Their work is shown.

Which student’s work is correct?

David

Eva

54 × 31 4 50 120 +150

Ivan

54 31 4 500 1 20 +1500

Jayla

54 3 1 4 50 1 20 + 1500

54 31 4 50 12 +1500

×

×

×

A. David B. Eva C. Ivan D. Jayla 5. Complete the area model and equation to find 26 × 79.

70 6

9 54

1,400

26 × 79 =

102

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© Great Minds PBC •

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EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TD ▸ Topic Quiz D-1

ANSWER KE Y ▸ TOPIC QUIZ D -1 1. Match each expression to its product. Write one value from the given answer choices in each box.

Expression

Product

31 × 20

620

45 × 30

1,350

41 × 30

1,230

13 × 40

520

Answer Choices

80

412

520

620

1,215

1,230

1,350

1,500

2. Fill in the blanks to find 63 × 42.

63 × 42 = (

60

+ 3) × 42

= (

60

× 42) + (

3

× 42)

= (60 × 40) + (60 × 2) + (3 × =

2,400

=

2,646

© Great Minds PBC

+ 120 +

120

40

) + (3 ×

2

)

+6

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103

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TD ▸ Topic Quiz D-1

3. Multiply.

42 × 14 =

588

26 × 37 =

962

39 × 58 =

2,262

4. Four students use partial products to find 54 × 31. Their work is shown.

Which student’s work is correct?

David

Eva

54 × 31 4 50 120 +150 A. David B. Eva C. Ivan D. Jayla

Ivan

54 31 4 500 1 20 +1500

Jayla

54 3 1 4 50 1 20 + 1500

54 31 4 50 12 +1500

×

×

×

Distractor rationale:

A. Incorrect. The student may have thought that 3 tens times 5 tens is 15 tens.

B. Incorrect. The student may have thought that 1 one times 5 tens is 5 hundreds.

C. Incorrect. The student may have thought that 3 tens times 4 ones is 12 ones.

D. Correct.

5. Complete the area model and equation to find 26 × 79.

6

20

70

9

420

54

1,400

180

26 × 79 =

104

AN SWER K E Y ▸ TOPIC QUIZ D -1

2,054

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EUREKA MATH2 Tennessee Edition

Topic Quiz

E

4 ▸ M3 ▸ TE ▸ Topic Quiz E-1

Name

Date

1. Circle an answer choice in each box to make each statement true.

1 gallon

1 quart

1 pint

1 cup

1 gallon is 1 quart is 1 pint is

(A) (B) (C)

times as much as 1 quart. times as much as 1 pint. times as much as 1 cup.

A

B

C

2

2

2

3

3

3

4

4

4

16

16

16

60

60

60

2. Robin spends 75 minutes at each soccer practice. She has practice 3 times this week. How many minutes does she practice soccer this week?

Robin practices soccer © Great Minds PBC •

minutes this week.

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105

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TE ▸ Topic Quiz E-1

3. Fill in the blank to make the statement true. Use the picture to help you.

16 ounces

TARE

1 pound is

1 lb

ON/OFF

times as heavy as 1 ounce.

4. A swimming pool needs to be filled with 17,000 gallons of water. So far, 5,425 gallons of water have been added. How many more gallons of water need to be added to fill the pool?

gallons of water

106

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EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TE ▸ Topic Quiz E-1

ANSWE R KE Y ▸ TOPIC QUIZ E-1 1. Circle an answer choice in each box to make each statement true.

1 gallon

1 quart

1 pint

1 cup

1 gallon is 1 quart is 1 pint is

(A) (B) (C)

times as much as 1 quart. times as much as 1 pint. times as much as 1 cup.

A

B

C

2

2

2

3

3

3

4

4

4

16

16

16

60

60

60

2. Robin spends 75 minutes at each soccer practice. She has practice 3 times this week. How many minutes does she practice soccer this week?

Robin practices soccer

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225

minutes this week.

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107

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TE ▸ Topic Quiz E-1

3. Fill in the blank to make the statement true. Use the picture to help you.

16 ounces

TARE

1 pound is

16

1 lb

ON/OFF

times as heavy as 1 ounce.

4. A swimming pool needs to be filled with 17,000 gallons of water. So far, 5,425 gallons of water have been added. How many more gallons of water need to be added to fill the pool?

11,575

108

gallons of water

AN SWER K E Y ▸ TOPIC QUIZ E-1

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EUREKA MATH2 Tennessee Edition

Topic Quiz

F

4 ▸ M3 ▸ TF ▸ Topic Quiz F-1

Name

Date

1. 72 is divided into 4 equal groups.

Part A Fill in the blank to make a true statement.

There are

in each group.

Part B Circle an answer choice in the box to make the statement true.

The quotient is the

.

number of groups size of the group

2. Divide.

148 ÷ 3

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3,608 ÷ 5

Quotient:

Quotient:

Remainder:

Remainder:

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109

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TF ▸ Topic Quiz F-1

3. A company purchases supplies for 9 employees. They each get 1 desk chair, 1 computer mouse, and 1 keyboard. The prices are shown in the table.

Item

Price

Desk Chair

$80

Computer Mouse

$25

Keyboard

$31

What is the total cost of the supplies for the 9 employees? Let c represent the cost.

c=$ 4. Mr. Davis has 125 pencils. He puts them all into cups. Each cup can hold 6 pencils. He divides 125 by 6 and writes the equation shown to represent his solution.

125 = 20 × 6 + 5 Mr. Davis says that since the quotient is 20, he needs 20 cups to hold all the pencils. Which statement is true?

A. He is incorrect. He should subtract 1 from the quotient. He needs 19 cups.

B. He is correct. He should ignore the remainder. He needs 20 cups.

C. He is incorrect. He should add 1 to the quotient. He needs 21 cups.

D. He is incorrect. He should add the remainder to the quotient. He needs 25 cups.

110

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EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TF ▸ Topic Quiz F-1

ANSWE R KE Y ▸ TOPIC QUIZ F-1 1. 72 is divided into 4 equal groups.

Part A Fill in the blank to make a true statement.

There are

18

in each group.

Part B Circle an answer choice in the box to make the statement true.

The quotient is the

.

number of groups size of the group

2. Divide.

148 ÷ 3 Quotient: Remainder:

© Great Minds PBC

3,608 ÷ 5

49

Quotient:

1

Remainder:

721 3

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111

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ TF ▸ Topic Quiz F-1

3. A company purchases supplies for 9 employees. They each get 1 desk chair, 1 computer mouse, and 1 keyboard. The prices are shown in the table.

Item

Price

Desk Chair

$80

Computer Mouse

$25

Keyboard

$31

What is the total cost of the supplies for the 9 employees? Let c represent the cost.

c=$

1,224

4. Mr. Davis has 125 pencils. He puts them all into cups. Each cup can hold 6 pencils. He divides 125 by 6 and writes the equation shown to represent his solution.

125 = 20 × 6 + 5 Mr. Davis says that since the quotient is 20, he needs 20 cups to hold all the pencils. Which statement is true?

A. He is incorrect. He should subtract 1 from the quotient. He needs 19 cups.

B. He is correct. He should ignore the remainder. He needs 20 cups.

C. He is incorrect. He should add 1 to the quotient. He needs 21 cups.

D. He is incorrect. He should add the remainder to the quotient. He needs 25 cups.

Distractor rationale:

A. Incorrect. The student may have subtracted 1 cup to account for the incomplete group of pencils instead of adding 1 cup.

B. Incorrect. The student may not have realized that Mr. Davis needs an additional cup for the incomplete group of pencils.

C. Correct.

D. Incorrect. The student may have added a cup for each remaining pencil instead of 1 cup for the incomplete group of pencils.

112

AN SWER K E Y ▸ TOPIC QUIZ F-1

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EUREKA MATH2 Tennessee Edition

Module Assessment

4 ▸ M3 ▸ Module Assessment 1

Name

Date

1. Which area model shows 9,657 ÷ 9?

A.

9

B.

9

C.

9

D.

9

1

7

3

9,000

630

27

100

70

3

9,000

630

27

1,000

70

3

9,000

630

27

1,000

700

3

9,000

630

27

2. Multiply.

4,962 × 3 =

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57 × 63 =

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113

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ Module Assessment 1

3. Adam found 147 ÷ 3. His work is shown.

14 7 ÷ 3 =

13

9 4

3 14 7 −120 27 −27 0 Adam made a mistake. Explain the mistake and find the correct quotient.

4. Fill in the blanks to make the statements true. Use the model to help you.

1 gallon

1 quart

1 pint

1 cup

1 gallon is 1 quart is 1 pint is

114

times as much as 1 quart. times as much as 1 pint. times as much as 1 cup.

This page may be reproduced for classroom use only.

© Great Minds PBC •

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EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ Module Assessment 1

5. Deepa found 197 × 8. Her work is shown.

8

100

90

7

800

72

56

800 + 72 + 56 = 928 Deepa made a mistake. Explain her mistake and find the correct product.

6. Divide.

588 ÷ 7 =

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1,446 ÷ 6 =

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115

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ Module Assessment 1

7. A pet store owner has 243 goldfish. She sells 67 of them. She places the remaining goldfish in equal groups among her goldfish bowls. Each goldfish bowl holds 8 goldfish.

How many bowls does the pet store owner need for the remaining goldfish?

The pet store owner needs

bowls.

8. Which expression can you use to find 42 × 56?

A. (40 × 2) + (50 × 6) B. (40 × 50) + (2 × 6) C. (42 × 5) + (42 × 6) D. (42 × 50) + (42 × 6) 9. Oka uses 153 ounces of flour to bake 9 batches of cookies. How many ounces of flour does she use for each batch?

Oka uses

116

ounces of flour for each batch of cookies.

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This document is the confidential information of Great Minds PBC provided solely for review purposes which may not be reproduced or distributed. All rights reserved.

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ Module Assessment 1

ANSWER KE Y ▸ MODULE ASSESSM ENT 1 1. Which area model shows 9,657 ÷ 9?

A.

9

B.

9

1

7

3

9,000

630

27

100

70

3

9,000

630

27

Distractor rationale: A. Incorrect. The student may have forgotten to consider place value when dividing.

B. Incorrect. The student may have incorrectly divided 9,000 by 9.

C. Correct.

D. Incorrect. The student may have incorrectly divided 630 by 9.

C.

9

D.

9

1,000

70

3

9,000

630

27

1,000

700

3

9,000

630

27

2. Multiply.

4,962 × 3 =

© Great Minds PBC

14,886

57 × 63 =

3,591

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117

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ Module Assessment 1

3. Adam found 147 ÷ 3. His work is shown.

14 7 ÷ 3 =

13

9 4

3 14 7 −120 27 −27 0 Adam made a mistake. Explain the mistake and find the correct quotient.

Scoring Notes for Item 3 Points Description Student response includes the following components:

2

1 0

118

•

Reasoning: 1 point The student correctly explains the mistake.

•

Computation: 1 point The student provides the correct quotient.

Adam recorded 4 in the first step, but 4 × 3 = 12, not 120. 40 × 3 = 120. So he should have recorded 40 and 9 to get the correct quotient, 49.

Student response includes 1 of the 2 components.

Student response is missing or entirely incorrect.

AN SWER K E Y ▸ MODULE ASS ESSM E N T 1

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EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ Module Assessment 1

4. Fill in the blanks to make the statements true. Use the model to help you.

1 gallon

1 quart

1 pint

1 cup

1 gallon is

4

1 quart is 1 pint is

© Great Minds PBC •

2 2

times as much as 1 quart. times as much as 1 pint. times as much as 1 cup.

This document is the confidential information of Great Minds PBC provided solely for review purposes which may not be reproduced or distributed. All rights reserved.

A N SW E R K E Y ▸ M OD U L E AS S E S S M E NT 1

119

EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ Module Assessment 1

5. Deepa found 197 × 8. Her work is shown.

8

100

90

7

800

72

56

800 + 72 + 56 = 928 Deepa made a mistake. Explain her mistake and find the correct product.

Scoring Notes for Item 5 Points Description 2 Student response includes the following components: •

Reasoning: 1 point The student correctly explains the mistake.

•

Computation: 1 point The student provides the correct product.

Deepa recorded 8 × 90 = 72, but 8 × 90 = 720. She should have added 800 to 720 and 56 to get 1,576 instead.

Student response includes 1 of the 2 components.

Student response is missing or entirely incorrect.

1 0

6. Divide.

588 ÷ 7 =

120

84

AN SWER K E Y ▸ MODULE ASS ESSM E N T 1

1,446 ÷ 6 =

© Great Minds PBC •

241

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EUREKA MATH2 Tennessee Edition

4 ▸ M3 ▸ Module Assessment 1

7. A pet store owner has 243 goldfish. She sells 67 of them. She places the remaining goldfish in equal groups among her goldfish bowls. Each goldfish bowl holds 8 goldfish.

How many bowls does the pet store owner need for the remaining goldfish?

The pet store owner needs

22

bowls.

8. Which expression can you use to find 42 × 56?

A. (40 × 2) + (50 × 6) B. (40 × 50) + (2 × 6) C. (42 × 5) + (42 × 6) D. (42 × 50) + (42 × 6) Distractor rationale: A. Incorrect. The student may have multiplied the decomposition of each number and added the results.

B. Incorrect. The student may have multiplied the values of the tens place and the ones place of each number.

C. Incorrect. The student may have decomposed 56 into 5

+ 6 instead of 50 + 6.

D. Correct.

9. Oka uses 153 ounces of flour to bake 9 batches of cookies. How many ounces of flour does she use for each batch?

Oka uses

© Great Minds PBC •

17

ounces of flour for each batch of cookies.

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A N SW E R K E Y ▸ M OD U L E AS S E S S M E NT 1

121

A Story of Units®

Fractional Units ▸ 4 ASSESSMENT RESOURCES

Module

1

Place Value Concepts for Addition and Subtraction

2

Place Value Concepts for Multiplication and Division

3

Multiplication and Division of Multi-Digit Numbers

4

Foundations for Fraction Operations

5

Place Value Concepts for Decimal Fractions

6

Angle Measurements and Plane Figures

EUREKA MATH2 Tennessee Edition

Topic Quiz

A

4 ▸ M4 ▸ TA ▸ Topic Quiz A-1

Name

Date

1. Think about the fraction _​​6​​ .

4

Part A

Label the tape diagram by using brackets to show how _​​6​​ can be decomposed.

4

1

Part B

Fill in the blanks to decompose _​​6​​ in two different ways.

4

_4​​ ​​ = _ ​​ 6 ​​ + _ ​​ 6 ​​ 6

_4​​ ​​ = _ ​​ 6 ​​ + _ ​​ 6 ​​ + _ ​​ 6 ​​ 6

2. Complete each number bond.

3 4

1 4

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3 4

1 4

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1 4

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125

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TA ▸ Topic Quiz A-1

3. Which expression shows how _​​8​​ can be decomposed?

5

1 1 1 1 1 1 1 1 A. ​​_5​​ + _​​5​​ + _​​5​​ + _​​5​​ + _​​5​​ + _​​5​​ + _​​5​​ + _​​5​​

1 1 1 1 1 B. ​​_​​ + _​​ ​​ + _​​ ​​ + _​​ ​​ + _​​ ​​ 8 8 8 8 8 1 _ 1 _ C. ​​5​​ + ​​ ​​ 8 2 3 D. ​​_​​ + _​​5​​ 3

4. Fill in the blanks to decompose 2 ​​_3​​ . Use the number line to help you.

1

0

1

1

2

2 ​​1_3​​ = 1 +

23

3

+ 1_​​3​​

=_ ​​ 3 ​​ + 3_​​3​​ + 1_​​3​​ 5. Indicate whether each decomposition shown represents _​​5​​ , ​​_4​​ , or neither.

4 5

Decomposition

_4​​ ​​ 5

_5​​ ​​ 4

Neither

1_ 1_ 1_ 1_ 1_ ​​ ​​ + ​​ ​​ + ​​ ​​ + ​​ ​​ + ​​ ​​ 5 5 5 5 5 1_ 1_ 1_ 1_ ​​5​​ + ​​5​​ + ​​5​​ + ​​5​​ 1_ 1_ 1_ 1_ 1_ ​​ ​​ + ​​ ​​ + ​​ ​​ + ​​ ​​ + ​​ ​​ 4 4 4 4 4

126

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EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TA ▸ Topic Quiz A-1

ANSWE R KE Y ▸ TOPIC QUIZ A-1 1. Think about the fraction _​​6​​ .

4

Part A

Label the tape diagram by using brackets to show how _​​6​​ can be decomposed.

4

1

2 6

2 6

Part B

Fill in the blanks to decompose _​​6​​ in two different ways.

4

1 3 _ _4​​ ​​ = _ ​​ 6 ​​ + ​​ 6 ​​ 6

1 1 2 _ _ _4​​ ​​ = _ ​​ 6 ​​ + ​​ 6 ​​ + ​​ 6 ​​ 6

2. Complete each number bond.

3 4

1 4

© Great Minds PBC

3 4

2 4

1 4

1 4

1 4

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127

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TA ▸ Topic Quiz A-1

3. Which expression shows how _​​8​​ can be decomposed?

5

1 1 1 1 1 1 1 1 A. ​​_5​​ + _​​5​​ + _​​5​​ + _​​5​​ + _​​5​​ + _​​5​​ + _​​5​​ + _​​5​​

Distractor rationale:

5 A. Incorrect. The student may have decomposed _ ​​ ​​ into 8 8 fifths.

1 1 1 1 1 B. ​​_​​ + _​​ ​​ + _​​ ​​ + _​​ ​​ + _​​ ​​ 8 8 8 8 8 1 _ 1 _ C. ​​5​​ + ​​ ​​ 8 2 3 D. ​​_​​ + _​​5​​ 3

B. Correct.

C. Incorrect. The student may have thought that decompose means to write the 5 and 8 as denominators in unit fractions.

D. Incorrect. The student may have thought that decompose means to break apart both the numerator and the denominator, similar to how they would decompose whole numbers.

4. Fill in the blanks to decompose 2 ​​_3​​ . Use the number line to help you.

1

0

1

1

2

2 ​​1_3​​ = 1 +

1

23

3

+ 1_​​3​​

3

=_ ​​ 3 ​​ + 3_​​3​​ + 1_​​3​​ 5. Indicate whether each decomposition shown represents _​​5​​ , ​​_4​​ , or neither.

4 5

Decomposition

_4​​ ​​ 5

_5​​ ​​ 4

_1​​ ​​ + _1​​ ​​ + _1​​ ​​ + _1​​ ​​ + _1​​ ​​ 5 5 5 5 5 _1​​ ​​ + 1_​​ ​​ + 1_​​ ​​ + 1_​​ ​​ 5 5 5 5

X X

_1​​ ​​ + _1​​ ​​ + _1​​ ​​ + _1​​ ​​ + _1​​ ​​ 4 4 4 4 4

128

Neither

AN SWER K E Y ▸ TOPIC QUIZ A-1

X

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EUREKA MATH2 Tennessee Edition

Topic Quiz

B

4 ▸ M4 ▸ TB ▸ Topic Quiz B-1

Name

Date

​​ .

1. Think about the equation _​​4​​ = ​​ _ 12 1

3

Part A

​​ 12​​ .

Partition and shade the area model to show _​​4​​ = _ 3

1

Part B Write one expression from the given answer choices in the blank to make a true statement.

The area model shows the fractions are equivalent because _​​4​​ is the same as 1

.

Answer Choices

_1​​ ​​ + _1​​ ​​ + _1​​ ​​ 4 4 4

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1 1 1 _ _ _ ​​ ​​ + ​​ ​​ + ​​ ​​ 12

12

12

3 3 3 _ _ _ ​​ ​​ + ​​ ​​ + ​​ ​​ 12

12

12

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129

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TB ▸ Topic Quiz B-1

2. Which fraction completes the equation shown?

2 = 6

2 A. ​​_​​ 4 3 B. ​​_7​​ 4 C. ​​_​​ 8 4 D. ​​ _​​ 12

3. Complete each equation.

2 _ ​​

3_ _ 8 _ ​​ ​​ = ​​ ​​ ​​ ​​ = ​​ 12 4 8

130

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EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TB ▸ Topic Quiz B-1

4. Ivan wants to show ​​_2​​ = _ ​​5 × 2​​ .

5×1

1

Number Line A

0

Number Line B

1

0

Number Line C

1

0

1

Which number line should Ivan use?

Write one answer from the given answer choices in each blank to make a true statement.

​​5 × 2​​ , Ivan should use To show _​​2​​ = _ 1

because it shows that _​​2​​ is equal to

5×1

1

.

Answer Choices Number Line A

Number Line B

Number Line C

_2​​ ​​ 4

_3​​ ​​ 6

5 _ ​​ ​​

© Great Minds PBC •

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10

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131

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TB ▸ Topic Quiz B-1

5. Match each fraction to its equivalent fraction. Write one fraction from the given answer choices in each box.

Fraction

Equivalent Fraction

_3​​ ​​ 5 _3​​ ​​ 4 _7​​ ​​ 5 _6​​ ​​ 4 Answer Choices

_3​​ ​​ 2

132

5_ ​​ ​​ 3

2_ ​​ ​​ 8

6 _ ​​ ​​ 10

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14 _ ​​ ​​ 10

9 _ ​​ ​​ 12

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10 _ ​​ ​​ 14

14 _ ​​ ​​ 15

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EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TB ▸ Topic Quiz B-1

ANSWE R KE Y ▸ TOPIC QUIZ B -1 ​​ .

1. Think about the equation _​​4​​ = ​​ _ 12 1

3

Part A

​​ 12​​ .

Partition and shade the area model to show _​​4​​ = _ 1

3

Part B Write one expression from the given answer choices in the blank to make a true statement.

1 _

1 _

1 _

​​ ​​ + ​​ ​​ + ​​ ​​ 1 The area model shows the fractions are equivalent because _​​4​​ is the same as 12 12 12 .

Answer Choices

_1​​ ​​ + _1​​ ​​ + _1​​ ​​ 4 4 4

© Great Minds PBC

1 1 1 _ _ _ ​​ ​​ + ​​ ​​ + ​​ ​​ 12

12

12

3 3 3 _ _ _ ​​ ​​ + ​​ ​​ + ​​ ​​ 12

12

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12

133

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TB ▸ Topic Quiz B-1

2. Which fraction completes the equation shown?

2 = 6

2 A. ​​_​​ 4 3 B. ​​_7​​ 4 C. ​​_​​ 8 4 D. ​​ _​​ 12

Distractor rationale: A. Incorrect. The student may have identified the number of shaded parts before the decomposition as the numerator and the number of shaded parts after the decomposition as the denominator.

B. Incorrect. The student may have added 1 ​ ​to both the numerator and the denominator.

C. Incorrect. The student may have identified the number of shaded parts as the numerator and the number of unshaded parts as the denominator.

D. Correct.

3. Complete each equation.

6

2 _ ​​

3_ _ 8 _ ​​ ​​ = ​​ ​​ ​​ ​​ = ​​ 12 4 8

134

AN SWER K E Y ▸ TOPIC QUIZ B-1

3

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EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TB ▸ Topic Quiz B-1

4. Ivan wants to show ​​_2​​ = _ ​​5 × 2​​ .

5×1

1

Number Line A

0

Number Line B

1

0

Number Line C

1

0

1

Which number line should Ivan use?

Write one answer from the given answer choices in each blank to make a true statement.

​​5 × 2​​ , Ivan should use Number Line C because it shows that _​​2​​ is equal to To show _​​2​​ = _ 1

5×1

1

5 _ ​​ ​​ 10

.

Answer Choices Number Line A

Number Line B

Number Line C

_2​​ ​​ 4

_3​​ ​​ 6

5 _ ​​ ​​

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10

A N SW E R K E Y ▸ TOPIC QU IZ B -1

135

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TB ▸ Topic Quiz B-1

5. Match each fraction to its equivalent fraction. Write one fraction from the given answer choices in each box.

Fraction

Equivalent Fraction

_3​​ ​​ 5

6 _ ​​ ​​

_3​​ ​​ 4

9 _ ​​ ​​

_7​​ ​​ 5

14 _ ​​ ​​

_6​​ ​​ 4

_3​​ ​​

10

12

10

2

Answer Choices

_3​​ ​​ 2

136

5_ ​​ ​​ 3

2_ ​​ ​​ 8

AN SWER K E Y ▸ TOPIC QUIZ B-1

6 _ ​​ ​​ 10

14 _ ​​ ​​ 10

9 _ ​​ ​​ 12

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10 _ ​​ ​​ 14

14 _ ​​ ​​ 15

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EUREKA MATH2 Tennessee Edition

Topic Quiz

C

4 ▸ M4 ▸ TC ▸ Topic Quiz C-1

Name

Date

1. Think about the fractions _​​3​​ and _​​6​​ .

2

5

Part A Use >, =, or < to compare the fractions.

2_ ​​ ​​ 3

_5​​ ​​ 6

Part B

Plot and label _​​3​​ and _​​6​​ on the number line to show that your answer to part A is true.

5

2

0

1

1 2

​​ .

2. Think about the fractions ​​_4​​ and ​​ _ 10 3

4

Circle an answer choice in each box to make the statements true.

_3​​ ​​ is 4

​​_2​​ .

1

(A)

4 _ ​​ ​​ is 10

_1​​ ​​ .

2

(B)

So ​​_4​​ is 3

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(C)

​​ . ​​ _ 10 4

A

B

C

greater than

greater than

greater than

equal to

equal to

equal to

less than

less than

less than

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137

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TC ▸ Topic Quiz C-1

3. Carla compares fractions by using tape diagrams.

Which number sentences are represented by the tape diagrams? Choose the three correct answers.

3 1 A. ​​ _​​ = _​​ ​​ 12 4 3 1 B. ​​ _​​ > _​​ ​​ 12 4 1 1 C. ​​_​​ < _​​ ​​ 6 4 3 1 D. ​​_​​ < ​​ _​​ 6 12 1 1 E. ​​_​​ < ​​ _​​ 6 12

138

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EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TC ▸ Topic Quiz C-1

4. Think about the fractions _​​2​​ and _​​3​​ .

1

2

Part A Partition each area model and complete the equations to show fractions with the same denominator.

1×

_ ​​ = ​ _ ​

_1​​ ​​ = ​​ 2

2×

_ ​​ = ​ _ ​

_2​​ ​​ = ​​ 3

2×

3×

Part B Use >, =, or < to compare the fractions.

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_1​​ ​​ 2

_2​​ ​​ 3

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139

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TC ▸ Topic Quiz C-1

5. Deepa compares ​​_8​​ and _​​5​​ . She starts by renaming _​​5​​ . Some of her work is shown.

6

3

3

3 3 × 2 6 = = 5 5 × 2 10 Circle an answer choice in each box to make the statements true.

Deepa renamed _​​5​​ to create a common 3

A numerator denominator

140

. Eighths are

(A)

(B)

tenths. So _​​8​​ is 6

(C)

B

C

greater than

greater than

equal to

equal to

less than

less than

This page may be reproduced for classroom use only.

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​​_5​​ .

3

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EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TC ▸ Topic Quiz C-1

ANSWER KE Y ▸ TOPIC QUIZ C-1 1. Think about the fractions _​​3​​ and _​​6​​ .

2

5

Part A Use >, =, or < to compare the fractions.

2_ ​​ ​​ 3

<

​​5_6​​

Part B

Plot and label _​​3​​ and _​​6​​ on the number line to show that your answer to part A is true.

5

2

0

1 2

2 3

1

5 6

​​ .

2. Think about the fractions ​​_4​​ and ​​ _ 10 3

4

Circle an answer choice in each box to make the statements true.

_3​​ ​​ is 4

​​_2​​ .

1

(A)

4 _ ​​ ​​ is 10

_1​​ ​​ .

2

(B)

So ​​_4​​ is 3

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(C)

​​ . ​​ _ 10 4

A

B

C

greater than

greater than

greater than

equal to

equal to

equal to

less than

less than

less than

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141

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TC ▸ Topic Quiz C-1

3. Carla compares fractions by using tape diagrams.

Which number sentences are represented by the tape diagrams? Choose the three correct answers.

3 1 A. ​​ _​​ = _​​ ​​ 12 4 3 1 B. ​​ _​​ > _​​ ​​ 12 4 1 1 C. ​​_​​ < _​​ ​​ 6 4 3 1 D. ​​_​​ < ​​ _​​ 6 12 1 1 E. ​​_​​ < ​​ _​​ 6 12 Distractor rationale: A. Correct.

B. Incorrect. The student may have confused the tape diagram that represents fourths with the tape diagram that represents sixths.

C. Correct.

D. Correct.

3 1 E. Incorrect. The student may have incorrectly identified _ ​​ ​​ as ​​ _​​ .

12 12

142

AN SWER K E Y ▸ TOPIC QUIZ C-1

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EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TC ▸ Topic Quiz C-1

4. Think about the fractions _​​2​​ and _​​3​​ .

1

2

Part A Partition each area model and complete the equations to show fractions with the same denominator.

1×

3

3

2×

3

6

_ ​​ = _ ​ ​

1_ ​​ ​​ = ​​ 2

2×

2

4

3×

2

6

_ ​​ = _ ​ ​

2_ ​​ ​​ = ​​ 3

Part B Use >, =, or < to compare the fractions.

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_1​​ ​​ 2

<

​​2_3​​

A N SWE R K E Y ▸ TOPIC QU IZ C-1

143

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TC ▸ Topic Quiz C-1

5. Deepa compares ​​_8​​ and _​​5​​ . She starts by renaming _​​5​​ . Some of her work is shown.

6

3

3

3 3 × 2 6 = = 5 5 × 2 10 Circle an answer choice in each box to make the statements true.

Deepa renamed _​​5​​ to create a common 3

144

(A)

. Eighths are

(B)

tenths. So _​​8​​ is 6

(C)

A

B

C

numerator

greater than

greater than

denominator

equal to

equal to

less than

less than

AN SWER K E Y ▸ TOPIC QUIZ C-1

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​​_5​​ .

3

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EUREKA MATH2 Tennessee Edition

Topic Quiz

D

4 ▸ M4 ▸ TD ▸ Topic Quiz D-1

Name

Date

1. Match each expression to its value. Write one value from the given answer choices in each box.

Expression

Value

_1​​ ​​ + 1_​​ ​​ 8 8 _7​​ ​​ − 4_​​ ​​ 8 8 _7​​ ​​ + 2_​​ ​​ 8 8 _9​​ ​​ − 4_​​ ​​ 8 8 Answer Choices

_2​​ ​​ 8

_3​​ ​​ 8

_5​​ ​​ 8

_9​​ ​​ 8

_ ​​ 2 ​​ 16

_ ​​ 3 ​​ 16

_ ​​ 5 ​​ 16

_ ​​ 9 ​​ 16

2. Ray rides his bike _​​6​​ miles in the morning. He rides _​​6​​ miles in the evening. How many miles does 3

2

Ray ride altogether?

Ray rides ​

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145

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TD ▸ Topic Quiz D-1

3. Subtract.

1 − 1_​​3​​ =

_4​​ ​​ − 1_​​ ​​ = 5 5

3 2−_ ​​ 10 ​​ =

4. A baker has ​2​pounds of sugar. She uses _​​4​​ pound of sugar to make muffins. How many pounds of sugar does the baker have left?

1

1 A. ​​_​​ 4 3 B. ​​_​​ 4

3 C. 1 ​​_​​ 4 1 D. 2 ​​_​​ 4

5. Add. 3 2 _ _ ​​ ​​ + ​​ ​​ = 12

146

12

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8 11 _ _ ​​ ​​ + ​​ ​​ = 12 12

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EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TD ▸ Topic Quiz D-1

ANSWER KE Y ▸ TOPIC QUIZ D -1 1. Match each expression to its value. Write one value from the given answer choices in each box.

Expression

Value

_1​​ ​​ + 1_​​ ​​ 8 8

2_ ​​ ​​ 8

_7​​ ​​ − 4_​​ ​​ 8 8

3_ ​​ ​​ 8

_7​​ ​​ + 2_​​ ​​ 8 8

9_ ​​ ​​ 8

_9​​ ​​ − 4_​​ ​​ 8 8

5_ ​​ ​​ 8

Answer Choices

_2​​ ​​ 8

_3​​ ​​ 8

_5​​ ​​ 8

_9​​ ​​ 8

_ ​​ 2 ​​ 16

_ ​​ 3 ​​ 16

_ ​​ 5 ​​ 16

_ ​​ 9 ​​ 16

2. Ray rides his bike _​​6​​ miles in the morning. He rides _​​6​​ miles in the evening. How many miles does 2

3

Ray ride altogether?

5_ ​​ ​​ Ray rides ​ ​miles altogether.

6

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147

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TD ▸ Topic Quiz D-1

3. Subtract.

_3​​ ​​ 5

_4​​ ​​ − 1_​​ ​​ = 5 5

1 − 1_​​3​​ =

2_ ​​ ​​ 3

3 2−_ ​​ 10 ​​ =

7 1 ​​ _ ​​ 10

4. A baker has ​2​pounds of sugar. She uses _​​4​​ pound of sugar to make muffins. How many pounds of sugar does the baker have left?

1

1 A. ​​_​​ 4 3 B. ​​_​​ 4

3 C. 1 ​​_​​ 4 1 D. 2 ​​_​​ 4 Distractor rationale:

1 A. Incorrect. The student may have subtracted the numerator of the fraction _ ​​ ​​ from the whole number 2.

4 1 B. Incorrect. The student may have added the whole number 2 ​ ​to the numerator of the fraction _ ​​ ​​ .

4 C. Correct.

1 D. Incorrect. The student may have added 2 ​ ​and _ ​​ ​​ .

4

5. Add. 3 2 _ _ ​​ ​​ + ​​ ​​ = 12

148

12

5 _ ​​ ​​ 12

AN SWER K E Y ▸ TOPIC QUIZ D -1

8 11 _ _ ​​ ​​ + ​​ ​​ = 12 12

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7 1 ​​ _ ​​ 12

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EUREKA MATH2 Tennessee Edition

Topic Quiz

E

4 ▸ M4 ▸ TE ▸ Topic Quiz E-1

Name

Date

1. Match each expression to its value. Write one value from the given answer choices in each box.

Expression

Value

1 ​​1_5​​ + 1 ​​1_5​​ 3 ​​4_5​​ − 3_​​5​​ 2 ​​3_5​​ − 1 ​​2_5​​ 2 ​​2_5​​ + 1 ​​1_5​​

Answer Choices

_1​​ ​​ 5

_4​​ ​​ 5

1 ​​1_5​​

2 ​​1_5​​

2 ​​2_5​​

3 ​​1_5​​

3 ​​2_5​​

3 ​​3_5​​

2. Add. 7 4 _ 1 ​​ _ ​​ + ​​ ​​ = 10 10

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2 ​​1_4​​ + 1 ​​3_4​​ =

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149

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TE ▸ Topic Quiz E-1

3. Mr. Davis measures the lengths of beetles. He records the data on the line plot shown.

Lengths of Beetles

×

×

0

× ×

×

×

1

2

Length (inches)

What is the difference in length between the longest beetle and the shortest beetle? inches

4. Subtract.

2 ​​1_3​​ − 2_​​3​​ =

3 ​​2_6​​ − 2 ​​3_6​​ =

5. Casey walks 1 ​​_5​​ miles in the morning and 2 ​​_5​​ miles in the evening. How many miles does she 2

4

walk altogether?

1 A. 1 ​​_5​​ 2 B. 1 ​​_5​​ 6 C. 3 ​​ _​​ 10 1 D. 4 ​​_5​​

150

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EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TE ▸ Topic Quiz E-1

ANSWE R KE Y ▸ TOPIC QUIZ E-1 1. Match each expression to its value. Write one value from the given answer choices in each box.

Expression

Value

1 ​​1_5​​ + 1 ​​1_5​​

2 ​​2_5​​

3 ​​4_5​​ − 3_​​5​​

3 ​​1_5​​

2 ​​3_5​​ − 1 ​​2_5​​

1 ​​1_5​​

2 ​​2_5​​ + 1 ​​1_5​​

3 ​​3_5​​

Answer Choices

_1​​ ​​ 5

_4​​ ​​ 5

1 ​​1_5​​

2 ​​1_5​​

2 ​​2_5​​

3 ​​1_5​​

3 ​​2_5​​

3 ​​3_5​​

2. Add. 7 4 _ 1 ​​ _ ​​ + ​​ ​​ = 10 10

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1 2 ​​ _ ​​ 10

2 ​​1_4​​ + 1 ​​3_4​​ =

4

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151

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TE ▸ Topic Quiz E-1

3. Mr. Davis measures the lengths of beetles. He records the data on the line plot shown.

Lengths of Beetles

×

×

0

× ×

×

×

1

2

Length (inches)

What is the difference in length between the longest beetle and the shortest beetle?

_7​​ ​​ 8

inches

4. Subtract.

2 ​​1_3​​ − 2_​​3​​ =

1 ​​2_3​​

3 ​​2_6​​ − 2 ​​3_6​​ =

_5​​ ​​ 6

5. Casey walks 1 ​​_5​​ miles in the morning and 2 ​​_5​​ miles in the evening. How many miles does she 2

4

walk altogether?

1 A. 1 ​​_5​​ 2 B. 1 ​​_5​​ 6 C. 3 ​​ _​​ 10 1 D. 4 ​​_5​​

152

Distractor rationale: A. Incorrect. The student may have added only the fraction parts of the mixed numbers.

B. Incorrect. The student may have subtracted the mixed numbers.

C. Incorrect. The student may have added the denominators.

D. Correct.

AN SWER K E Y ▸ TOPIC QUIZ E-1

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EUREKA MATH2 Tennessee Edition

Topic Quiz

F

4 ▸ M4 ▸ TF ▸ Topic Quiz F-1

Name

Date

1. Think about the fraction _​​6​​ .

5

Part A

Plot and label _​​6​​ on the number line.

5

0

1

Part B Fill in the blanks to make the equation true. Write one number from the given answer choices in each box.

× ​​ _​​

_5​​ ​​ = 6

1

Answer Choices

​1​

​2​

​3​

​4​

​5​

​6​

​7​

​8​

​9​

2. Which expressions are equivalent to 4 × _​​3​​ ? Choose the two correct expressions.

2

1 A. 6 × _​​ ​​ 3 1 B. 8 × _​​ ​​ 3

2 C. 12 × _​​ ​​ 3 4×2 D. ​​_ ​​ 3 4×2 E. ​​_ ​​ 4×3 2 F . ​​ _ ​​ 4×3

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EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TF ▸ Topic Quiz F-1

3. James has ​5​ribbons. Each ribbon is _​​3​​ foot in length. What is the total length of all the ribbons?

1

feet.

The total length of all the ribbons is

4. Multiply.

6 × 1_​​8​​ =

3 × ​​3_4​​ =

2 × 1 ​​4_5​​ =

5. Zara runs 2 ​​_4​​ miles each day for 5 ​ ​days. How many miles does Zara run altogether?

1

1 A. 1 ​​_​​ 4 1 B. 7 ​​_​​ 4

1 C. 10 ​​_​​ 4 1 D. 11 ​​_​​ 4

154

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EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TF ▸ Topic Quiz F-1

ANSWE R KE Y ▸ TOPIC QUIZ F-1 1. Think about the fraction _​​6​​ .

5

Part A

Plot and label _​​6​​ on the number line.

5

0

1

5 6

Part B Fill in the blanks to make the equation true. Write one number from the given answer choices in each box.

_5​​ ​​ = 6

× ​​ _​​ 1

5

6

Answer Choices

​1​

​2​

​3​

​4​

​5​

​6​

​7​

​8​

​9​

2. Which expressions are equivalent to 4 × _​​3​​ ? Choose the two correct expressions.

2

1 A. 6 × _​​ ​​ 3 1 B. 8 × _​​ ​​ 3

2 C. 12 × _​​ ​​ 3 4×2 D. ​​_ ​​ 3 4×2 E. ​​_ ​​ 4×3 2 F . ​​ _ ​​ 4×3

Distractor rationale: A. Incorrect. The student may have thought that adding the numerator to the whole number would result in an equivalent expression.

B. Correct.

C. Incorrect. The student may have thought that multiplying the whole number by the denominator would result in an equivalent expression.

D. Correct.

E. Incorrect. The student may have thought that multiplying both the numerator and the denominator by the whole number would result in an equivalent expression.

F . Incorrect. The student may have thought that multiplying the denominator by the whole number would result in an equivalent expression.

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155

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ TF ▸ Topic Quiz F-1

3. James has ​5​ribbons. Each ribbon is _​​3​​ foot in length. What is the total length of all the ribbons?

1 ​​_23​​ feet.

The total length of all the ribbons is 1

4. Multiply.

6 × 1_​​8​​ =

6_ ​​ ​​ 8

3 × ​​3_4​​ =

9_ ​​ ​​ 4

2 × 1 ​​4_5​​ =

3 ​3_​5​​

5. Zara runs 2 ​​_4​​ miles each day for 5 ​ ​days. How many miles does Zara run altogether?

1

1 A. 1 ​​_​​ 4 1 B. 7 ​​_​​ 4

1 C. 10 ​​_​​ 4 1 D. 11 ​​_​​ 4

156

Distractor rationale: A. Incorrect. The student may have multiplied the fraction but not the whole number.

B. Incorrect. The student may have added the given numbers.

C. Incorrect. The student may have multiplied the whole number but not the fraction.

D. Correct.

AN SWER K E Y ▸ TOPIC QUIZ F-1

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EUREKA MATH2 Tennessee Edition

Module Assessment

4 ▸ M4 ▸ Module Assessment 1

Name

Date

1. Indicate whether each equation is true or false.

Equation

True

False

_2​​ ​​ = _ ​​ 4 ​​ 5 10 _3​​ ​​ = 4_​​ ​​ 5

6

_4​​ ​​ = 12 _ ​​ ​​ 5

10

7_ 14 _ ​​ ​​ = ​​ ​​ 5 10

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157

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ Module Assessment 1

2. Think about the equation _​​6​​ = _ ​​ 12​​ .

1

2

Part A

​​ 12​​ .

Complete the area model to show _​​6​​ = _ 1

2

Part B

​​ 12​​ .

Use the area model from part A to help you explain why _​​6​​ = _ 1

158

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2

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EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ Module Assessment 1

3. Think about the fractions _​​6​​ and _​​4​​ .

3

1

Part A Use >, =, or < to compare the fractions.

_3​​ ​ ​ 6

1 ​ _​​ ​​ 4

Part B

Plot and label _​​6​​ and _​​4​​ on the number line to show that your answer to part A is true.

3

1

0

1

1 2

Part C Circle an answer in each box to make the statements true.

_3​​ ​​ is ​ (A) 6

​ ​​_2​​ .

_1​​ ​​ is ​ (B) 4

​ _​​2​​ .

1 1

So ​​_6​​ is ​ (C) ​ ​​_4​​ .

3

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1

A

B

C

greater than

greater than

greater than

equal to

equal to

equal to

less than

less than

less than

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159

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ Module Assessment 1

4. Add or subtract.

_2​​ ​​ + 2_​​ ​​ = 3 3

_4​​ ​​ − 1_​​ ​​ = 5 5

2 ​​1_4​​ + 3_​​4​​ =

5. Which expressions show how _​​6​​ can be decomposed? Choose the two correct answers.

5

1 1 1 1 1 A. ​​_​​ + _​​ ​​ + _​​ ​​ + _​​ ​​ + _​​ ​​ 6 6 6 6 6 1 4 B. ​​_​​ + _​​ ​​ 2 4 1 1 C. ​​_5​​ + _​​ ​​ 6 3 2 D. ​​_​​ + _​​ ​​ 6 6 5 5 E. ​​_​​ + _​​ ​​ 3 3

6. David has 3 ​​_8​​ cups of milk. Gabe has 1 ​​_8​​ cups of milk. How many more cups of milk does David have than Gabe?

1

7

1 A. 1 ​​_​​ 8 2 B. 1 ​​_​​ 8 6 C. 2 ​​_​​ 8

D. ​ 5​

160

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EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ Module Assessment 1

7. Think about the fraction _​​4​​ .

7

Part A

Plot and label _​​4​​ on the number line.

7

0

1

2

Part B Fill in the blanks to make the equation true. Write one number from the given answer choices in each box.

× ​​ _​​

_7​​ ​​ = 4

1

Answer Choices

​1​

​2​

​3​

​4​

​5​

​6​

​7​

​8​

​9​

8. Multiply.

6 × 4_​​5​​ =

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3 × 2 ​​3_4​​ =

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161

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ Module Assessment 1

9. Zara walks ​​_3​​ mile each day. How many miles does she walk in 5 ​ ​days?

1

miles in 5 days.

Zara walks

10.

Jayla catches bugs and records their lengths as shown.

Lengths of bugs in inches: 1 ​​_8​​ , 2 ​​_8​​ , 1 ​​_8​​ , 1 ​​_8,​​ 1 ​​_8​​ 3

2

4

6

4

Part A Complete the line plot to represent the data.

Lengths of Bugs Caught by Jayla

0

1

2

3

Length of Bugs (inches)

Part B What is the difference in length between the longest bug and the shortest bug? inches

162

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EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ Module Assessment 1

ANSWER KE Y ▸ MODULE ASSESSM ENT 1 1. Indicate whether each equation is true or false.

Equation

True

_2​​ ​​ = _ ​​ 4 ​​ 5 10

X

_3​​ ​​ = 4_​​ ​​ 5 6

X

_4​​ ​​ = 12 _ ​​ ​​ 5 10 _7​​ ​​ = 14 _ ​​ ​​ 5 10

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False

X X

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163

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ Module Assessment 1

2. Think about the equation _​​6​​ = _ ​​ 12​​ .

1

2

Part A

​​ 12​​ .

Complete the area model to show _​​6​​ = _ 1

2

Part B

​​ 12​​ .

Use the area model from part A to help you explain why _​​6​​ = _ 1

2

Scoring Notes for Item 2 Part B Points Description 1 Student response includes the following component: •

Reasoning: 1 point 1 2 ​​ . ​​ 12 The student gives a valid explanation of why _​​6​​ = _

​​ . The shaded areas are equal in size, so the The area model shows both _​​6​​ and ​​ _ 12 fractions are equal.

Student response is missing or incorrect.

1

0

164

AN SWER K E Y ▸ MODULE ASS ESSM E N T 1

2

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EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ Module Assessment 1

3. Think about the fractions _​​6​​ and _​​4​​ .

3

1

Part A Use >, =, or < to compare the fractions.

_3​​ ​ ​ 6

>

1 ​ _​​ ​​ 4

Part B

Plot and label _​​6​​ and _​​4​​ on the number line to show that your answer to part A is true.

3

1

1 4

0

3 6

1

1 2

Part C Circle an answer in each box to make the statements true.

_3​​ ​​ is ​ (A) 6

​ ​​_2​​ .

_1​​ ​​ is ​ (B) 4

​ _​​2​​ .

1 1

So ​​_6​​ is ​ (C) ​ ​​_4​​ .

3

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1

A

B

C

greater than

greater than

greater than

equal to

equal to

equal to

less than

less than

less than

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A N SW E R K E Y ▸ M OD U L E AS S E S S M E NT 1

165

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ Module Assessment 1

4. Add or subtract.

_2​​ ​​ + 2_​​ ​​ = 3 3

4_ ​​ ​​ 3

_4​​ ​​ − 1_​​ ​​ = 5 5

3_ ​​ ​​ 5

2 ​​1_4​​ + 3_​​4​​ =

3

5. Which expressions show how _​​6​​ can be decomposed? Choose the two correct answers.

5

1 1 1 1 1 A. ​​_​​ + _​​ ​​ + _​​ ​​ + _​​ ​​ + _​​ ​​ 6 6 6 6 6 1 4 B. ​​_​​ + _​​ ​​ 2 4 1 1 C. ​​_5​​ + _​​ ​​ 6 3 2 D. ​​_​​ + _​​ ​​ 6 6 5 5 E. ​​_​​ + _​​ ​​ 3 3

Distractor rationale: A. Correct.

B. Incorrect. The student may have thought that decompose means to break apart both the numerator and the denominator, similar to how they would decompose whole numbers.

C. Incorrect. The student may have thought that decompose means to ​ ​as denominators in unit fractions. write the 5 ​ ​and 6 D. Correct.

E. Incorrect. The student may have thought that decompose means to break apart the denominator.

6. David has 3 ​​_8​​ cups of milk. Gabe has 1 ​​_8​​ cups of milk. How many more cups of milk does David have than Gabe?

7

1

1 A. 1 ​​_​​ 8 2 B. 1 ​​_​​ 8 6 C. 2 ​​_​​ 8

D. ​ 5​

166

Distractor rationale:

7 A. Incorrect. The student may have subtracted 1 ​​_​​ from 3 ​ ​.

8 B. Correct.

7 1 C. Incorrect. The student may have subtracted 1 ​​_​​ from 3 ​​_​​ .

8 8 7 1 _ _ D. Incorrect. The student may have added 3 ​​ ​​ and 1 ​​ ​​ .

8 8

AN SWER K E Y ▸ MODULE ASS ESSM E N T 1

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EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ Module Assessment 1

7. Think about the fraction _​​4​​ .

7

Part A

Plot and label _​​4​​ on the number line.

7

0

1

2

7 4

Part B Fill in the blanks to make the equation true. Write one number from the given answer choices in each box.

_7​​ ​​ = 4

× ​​ _​​ 1

7

4

Answer Choices

​1​

​2​

​3​

​4​

​5​

​6​

​7​

​8​

​9​

8. Multiply.

6 × 4_​​5​​ =

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24 _ ​​ ​​ 5

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3 × 2 ​​3_4​​ =

8 ​​1_4​​

A N SW E R K E Y ▸ M OD U L E AS S E S S M E NT 1

167

EUREKA MATH2 Tennessee Edition

4 ▸ M4 ▸ Module Assessment 1

9. Zara walks ​​_3​​ mile each day. How many miles does she walk in 5 ​ ​days?

1

_5​​ ​​ 3

Zara walks

10.

miles in 5 days.

Jayla catches bugs and records their lengths as shown.

Lengths of bugs in inches: 1 ​​_8​​ , 2 ​​_8​​ , 1 ​​_8​​ , 1 ​​_8,​​ 1 ​​_8​​ 3

2

4

6

4

Part A Complete the line plot to represent the data.

Lengths of Bugs Caught by Jayla

× 0

× ×

×

1

× 2

3

Length of Bugs (inches)

Part B What is the difference in length between the longest bug and the shortest bug?

_7​​ ​​ 8

168

inches

AN SWER K E Y ▸ MODULE ASS ESSM E N T 1

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A Story of Units®

Fractional Units ▸ 4 ASSESSMENT RESOURCES

Module

1

Place Value Concepts for Addition and Subtraction

2

Place Value Concepts for Multiplication and Division

3

Multiplication and Division of Multi-Digit Numbers

4

Foundations for Fraction Operations

5

Place Value Concepts for Decimal Fractions

6

Angle Measurements and Plane Figures

EUREKA MATH2 Tennessee Edition

Topic Quiz

A

4 ▸ M5 ▸ TA ▸ Topic Quiz A-1

Name

Date

1. Think about the fraction _ ​​ 10​​ .

3

Part A

​​ on the number line.

Plot and label ​​ _ 10 3

0

1

Part B

​​ in decimal form.

Write ​​ _ 10 3

3 _ ​​ ​​ = 10

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171

EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TA ▸ Topic Quiz A-1

2. Match each area model with the fraction and decimal number the shaded part represents. Write one value from the given answer choices in each box. Each large square represents 1.

Area Model

Fraction

Decimal Number

Answer Choices 2 _ ​​ ​​

2 _ ​​ ​​

_2​​ ​​

2.0

0.2

0.02

100

10

8

​​

5 _ ​​

5 _ ​​ ​​

_5​​ ​​

5.0

0.5

0.05

100

10

5

3. Write each decimal number as a fraction.

0.6 =

172

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2.4 =

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EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TA ▸ Topic Quiz A-1

4. How many liters of water are in the bottle? Write your answer in fraction form and decimal form.

1L

_ ​​ ​​ L =

L

0.5 L

5. Write each fraction in decimal form.

1 _ ​​ ​​ =

9 1 ​​ _ ​​ = 10

10

6. Plot and label 0.15 and 0.21 on the number line.

0.1

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0.2

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0.3

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173

EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TA ▸ Topic Quiz A-1

ANSWE R KE Y ▸ TOPIC QUIZ A-1 1. Think about the fraction _ ​​ 10​​ .

3

Part A

​​ on the number line.

Plot and label ​​ _ 10 3

0

1

3 10

Part B

​​ in decimal form.

Write ​​ _ 10 3

© Great Minds PBC

3 _ ​​ ​​ = 0.3 10

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175

EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TA ▸ Topic Quiz A-1

2. Match each area model with the fraction and decimal number the shaded part represents. Write one value from the given answer choices in each box. Each large square represents 1.

Area Model

Fraction

Decimal Number

2 _ ​​ ​​ 10

0.2

5 _ ​​ ​​

0.5

10

Answer Choices 2 _ ​​ ​​

2 _ ​​ ​​

_2​​ ​​

2.0

0.2

0.02

100

10

8

​​

5 _ ​​

5 _ ​​ ​​

_5​​ ​​

5.0

0.5

0.05

100

10

5

3. Write each decimal number as a fraction.

0.6 =

176

6 _ ​​ ​​ 10

AN SWER K E Y ▸ TOPIC QUIZ A-1

4 _ 2.4 = 2 ​​ 10​​

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EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TA ▸ Topic Quiz A-1

4. How many liters of water are in the bottle? Write your answer in fraction form and decimal form.

1L 7

_ ​​ ​​ L = 0.5 L

0.7

L

10

5. Write each fraction in decimal form.

1 _ ​​ ​​ = 0.1 10

9 1 ​​ _ ​​ = 10

1.9

6. Plot and label 0.15 and 0.21 on the number line.

0.15 0.1

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0.21 0.2

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0.3

A N SWE R K E Y ▸ TOPIC QU IZ A-1

177

EUREKA MATH2 Tennessee Edition

Topic Quiz

B

4 ▸ M5 ▸ TB ▸ Topic Quiz B-1

Name

Date

1. Complete each equation.

4 _ _ ​​ ​​ = ​​ ​​ 10

© Great Minds PBC •

100

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​​

8 _ _ ​​ = ​​ ​​ 10

100

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179

EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TB ▸ Topic Quiz B-1

2. Match each area model with the fraction and decimal number the shaded part represents. Write one value from the given answer choices in each box. Each large square represents 1 ​ ​.

Area Model

Fraction

Decimal Number

Answer Choices 1 _ ​​ ​​ 100

0.72

180

​​

1 _ ​​ 10

0.27

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​​

27 _ ​​

72 _ ​​ ​​

0.1

0.01

100

© Great Minds PBC •

100

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EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TB ▸ Topic Quiz B-1

3. Write each fraction in decimal form.

2 4 ​​ _ ​​ = 10

58 _ ​​ ​​ = 100

6 _ ​​ ​​ = 100

_​​ ? Choose the two correct answers. ​​ + ​​ 4. Which numbers are equivalent to 3 + ​​ _ 10 100 9

5

A. 3.59 B. 3.95 C. 39.5

14 D. 3 ​​ _​​ 110 95 E. 3 ​​ _​​ 100 5 F. 39 ​​ _​​ 100

5. Fill in the blank to complete the number bond.

0.84

8 10

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100

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181

EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TB ▸ Topic Quiz B-1

6. Complete each equation.

7 _ _ ​​ ​​ = ​​ ​​ 10

​​

100

9 _ _ ​​ = ​​ ​​ 10

100

7. Write the shaded length in fraction form and decimal form.

1 meter

_ ​​ ​​ m =

182

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m

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EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TB ▸ Topic Quiz B-1

ANSWE R KE Y ▸ TOPIC QUIZ B -1 1. Complete each equation.

40

4 _ _ ​​ ​​ = ​​ ​​ 10

© Great Minds PBC

100

80

8 _ _ ​​ ​​ = ​​ ​​ 10

100

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183

EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TB ▸ Topic Quiz B-1

2. Match each area model with the fraction and decimal number the shaded part represents. Write one value from the given answer choices in each box. Each large square represents 1 ​ ​.

Area Model

Fraction

Decimal Number

72 _ ​​ ​​ 100

0.72

1 _ ​​ ​​ 10

0.1

27 _ ​​ ​​

0.27

100

Answer Choices 1 _ ​​ ​​ 100

0.72

184

​​

1 _ ​​ 10

0.27

AN SWER K E Y ▸ TOPIC QUIZ B-1

​​

27 _ ​​

72 _ ​​ ​​

0.1

0.01

100

© Great Minds PBC •

100

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EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TB ▸ Topic Quiz B-1

3. Write each fraction in decimal form.

2 4 ​​ _ ​​ = 10

58 _ ​​ ​​ = 0.58 100

6 _ ​​ ​​ = 0.06 100

4.2

_​​ ? Choose the two correct answers. ​​ + ​​ 4. Which numbers are equivalent to 3 + ​​ _ 10 100 9

A. 3.59 B. 3.95 C. 39.5

14 D. 3 ​​ _​​ 110 95 E. 3 ​​ _​​ 100 5 F. 39 ​​ _​​ 100

5

Distractor rationale: A. Incorrect. The student may have confused the tenths place with the hundredths place.

B. Correct.

C. Incorrect. The student may have shifted all numbers one place to the left.

D. Incorrect. The student may have thought that adding the numerators and the denominators of the fractions would result in an equivalent fraction.

E. Correct.

F. Incorrect. The student may have thought the 9 was in the ones place and the 3 was in the tens place.

5. Fill in the blank to complete the number bond.

0.84

8 10

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4 100

A N SW E R K E Y ▸ TOPIC QU IZ B -1

185

EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TB ▸ Topic Quiz B-1

6. Complete each equation.

70

90

7 _ _ ​​ ​​ = ​​ ​​ 10

9 _ _ ​​ ​​ = ​​ ​​

100

10

100

7. Write the shaded length in fraction form and decimal form.

1 meter

39

_ ​​ ​​ m =

0.39 m

100

186

AN SWER K E Y ▸ TOPIC QUIZ B-1

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EUREKA MATH2 Tennessee Edition

Topic Quiz

C

4 ▸ M5 ▸ TC ▸ Topic Quiz C-1

Name

Date

1. Think about 0.2 and 0.15.

Part A Compare the decimal numbers by using >, =, or <.

0.2

0.15

Part B Plot and label 0.2 and 0.15 on the number line to justify your answer to part A.

0.1

0.2

0.3

2. Compare the decimal numbers by using >, =, or <.

0.19

0.8

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0.47

0.56

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187

EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TC ▸ Topic Quiz C-1

3. Think about 0.28 and 0.71.

Part A Compare the decimal numbers by using >, =, or <.

0.28

0.71

Part B Use unit form to justify your answer to part A. Circle an answer in each box to make the statements true.

The decimal number 0.28 in unit form is is (B) . So 0.28 is (C) 0.71.

(A)

, and the decimal number 0.71 in unit form

A

B

C

28 ones

71 ones

greater than

28 tenths

71 tenths

equal to

28 hundredths

71 hundredths

less than

4. Order the decimal numbers from least to greatest. Write one decimal number from the given answer choices in each blank.

Least

Greatest

Answer Choices

0.6

188

0.65

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0.5

0.06

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0.56

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EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TC ▸ Topic Quiz C-1

5. Mr. Lopez wants to show that 0.5 is greater than 0.34.

Which image should Mr. Lopez use to show the comparison?

A.

B. 1

1 0.5

1

1

0.5

0.34

0.34

C.

D. 1

1

1

0.34

0.5

1

0.34

0.5

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189

EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TC ▸ Topic Quiz C-1

ANSWER KE Y ▸ TOPIC QUIZ C-1 1. Think about 0.2 and 0.15.

Part A Compare the decimal numbers by using >, =, or <.

0.2

>

0.15

Part B Plot and label 0.2 and 0.15 on the number line to justify your answer to part A.

0.15

0.2

0.1

0.2

0.3

2. Compare the decimal numbers by using >, =, or <.

0.19

0.8

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<

>

0.47

0.56

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191

EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TC ▸ Topic Quiz C-1

3. Think about 0.28 and 0.71.

Part A Compare the decimal numbers by using >, =, or <.

0.28

<

0.71

Part B Use unit form to justify your answer to part A. Circle an answer in each box to make the statements true.

The decimal number 0.28 in unit form is is (B) . So 0.28 is (C) 0.71.

, and the decimal number 0.71 in unit form

(A)

A

B

C

28 ones

71 ones

greater than

28 tenths

71 tenths

equal to

28 hundredths

71 hundredths

less than

4. Order the decimal numbers from least to greatest. Write one decimal number from the given answer choices in each blank.

Least

Greatest

0.06

0.5

0.56

0.6

0.65

0.06

0.56

Answer Choices

0.6

192

0.65

AN SWER K E Y ▸ TOPIC QUIZ C-1

0.5

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EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TC ▸ Topic Quiz C-1

5. Mr. Lopez wants to show that 0.5 is greater than 0.34.

Which image should Mr. Lopez use to show the comparison?

A.

B. 1

1 0.5

1

1

0.5

0.34

0.34

C.

D. 1

1

1

0.34

0.5

1

0.34

0.5 Distractor rationale: A. Incorrect. The student may not have realized that the decimal numbers must refer to the same whole.

B. Incorrect. The student may not have realized that the decimal numbers must refer to the same whole.

C. Incorrect. The student may not have realized that the beaker with 0.5 was incorrectly labeled and may have confused greater than with less than.

D. Correct.

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A N SWE R K E Y ▸ TOPIC QU IZ C-1

193

EUREKA MATH2 Tennessee Edition

Topic Quiz

D

4 ▸ M5 ▸ TD ▸ Topic Quiz D-1

Name

Date

1. Add.

4 _ ​​ ​​

33 _ ​​ ​​

+

10

100

=

2. Match each expression with its equivalent value. Write one value from the given answer choices in each box.

Expression

Equivalent Value

20 7 _ _ ​​ ​​ + ​​ ​​ 10

100

7 2 _ _ ​​ ​​ + ​​ ​​ 100

10

7 2 _ _ ​​ ​​ + ​​ ​​ 10

100

Answer Choices 27 _ ​​ ​​ 10

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72 _ ​​ ​​ 10

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​​

9 _ ​​ 100

27 _ ​​ ​​ 100

72 _ ​​ ​​ 100

90 _ ​​ ​​ 100

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195

EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TD ▸ Topic Quiz D-1

3. Add. 3 83 _ 1 ​​ _ ​​ + ​​ ​​ = 10 100

196

75 1 _ 2 ​​ _ ​​ + 4 ​​ ​​ = 10 100

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59 7 _ 3 ​​ _ ​​ + 3 ​​ ​​ = 10 100

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EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TD ▸ Topic Quiz D-1

ANSWER KE Y ▸ TOPIC QUIZ D -1 1. Add.

4 _ ​​ ​​

33 _ ​​ ​​

+

10

​​

=

100

73 _ ​​ 100

2. Match each expression with its equivalent value. Write one value from the given answer choices in each box.

Expression

Equivalent Value

20 7 _ _ ​​ ​​ + ​​ ​​ 10

​​

100

100

10

_ ​​ 72 ​​

7 2 _ _ ​​ ​​ + ​​ ​​ 10

100

27 _ ​​ ​​

7 2 _ _ ​​ ​​ + ​​ ​​ 100

90 _ ​​

100

100

Answer Choices 27 _ ​​ ​​ 10

© Great Minds PBC

72 _ ​​ ​​ 10

​​

9 _ ​​ 100

27 _ ​​ ​​ 100

72 _ ​​ ​​ 100

90 _ ​​ ​​ 100

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197

EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ TD ▸ Topic Quiz D-1

3. Add. 13 3 83 2 ​​ _ ​​ _ 1 ​​ _ ​​ + ​​ ​​ = 100 10 100

198

85 75 1 6 ​​ _ ​​ _ 2 ​​ _ ​​ + 4 ​​ ​​ = 100 10 100

AN SWER K E Y ▸ TOPIC QUIZ D -1

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59 7 _ 3 ​​ _ ​​ + 3 ​​ ​​ = 10 100

29 7 ​​ _ ​​ 100

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EUREKA MATH2 Tennessee Edition

Module Assessment

4 ▸ M5 ▸ Module Assessment 1

Name

Date

1. Complete each equation.

2 _ _ ​​ ​​ = ​​ ​​ 10

5 _ _ ​​ ​​ = ​​ ​​

100

10

100

2. Add. 32 4 _ _ ​​ ​​ + ​​ ​​ = 10

100

8 61 _ _ ​​ ​​ + ​​ ​​ = 100

10

15 7 _ 2 ​​ _ ​​ + 3 ​​ ​​ = 100 10

3. Think about the decimal numbers 0.4 and 0.25.

Part A Use >, =, or < to compare the decimal numbers.

0.4 ​

​ 0.25

Part B Plot and label 0.4 and 0.25 on the number line to justify your answer to part A.

0

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1

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199

EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ Module Assessment 1

4. Match each area model with the fraction and decimal number the shaded part represents. Write one value from the given answer choices in each box. Each large square represents 1 ​ ​.

Area Model

Fraction

Decimal Number

Answer Choices 6 ​​_1​​

0.06

6 _ ​​ 10

6 _ ​​ ​​ 100

19 _ ​​ ​​ 10

19 _ ​​ ​​ 20

19 _ ​​ ​​

0.6

6.0

0.19

1.9

19.0

​​

100

5. Write each fraction in decimal form.

4 _ ​​ ​​ = 10

200

24 _ ​​ ​​ = 100

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5 _ ​​ ​​ = 100

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EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ Module Assessment 1

6. Ivan says that ​0.9​is less than 0 ​ .41​because 9 ​ ​is less than 4 ​ 1​. Do you agree with Ivan? Explain.

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201

EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ Module Assessment 1

ANSWER KE Y ▸ MODULE ASSESSM ENT 1 1. Complete each equation.

20

50

2 _ _ ​​ ​​ = ​​ ​​ 10

5 _ _ ​​ ​​ = ​​ ​​

100

10

100

2. Add. 41 8 61 1 ​​ _ ​​ _ _ ​​ ​​ + ​​ ​​ = 100

72 _ 32 4 ​​ ​​ _ _ ​​ ​​ + ​​ ​​ = 100 10

100

100

10

85 15 7 5 ​​ _ ​​ _ 2 ​​ _ ​​ + 3 ​​ ​​ = 100 100 10

3. Think about the decimal numbers 0.4 and 0.25.

Part A Use >, =, or < to compare the decimal numbers.

0.4 ​ >

​ 0.25

Part B

Plot and label 0.4 and 0.25 on the number line to justify your answer to part A.

0

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0.25

0.4

1

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203

EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ Module Assessment 1

4. Match each area model with the fraction and decimal number the shaded part represents. Write one value from the given answer choices in each box. Each large square represents 1 ​ ​.

Area Model

Fraction

Decimal Number

19 _ ​​ ​​ 100

0.19

6 _ ​​ ​​

0.6

10

Answer Choices 6 ​​_1​​

0.06

6 _ ​​ 10

6 _ ​​ ​​ 100

19 _ ​​ ​​ 10

19 _ ​​ ​​ 20

19 _ ​​ ​​

0.6

6.0

0.19

1.9

19.0

​​

100

5. Write each fraction in decimal form.

4 _ ​​ ​​ = 0.4 10

204

24 _ ​​ ​​ = 0.24 100

AN SWER K E Y ▸ MODULE ASS ESSM E N T 1

5 _ ​​ ​​ = 0.05 100

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EUREKA MATH2 Tennessee Edition

4 ▸ M5 ▸ Module Assessment 1

6. Ivan says that ​0.9​is less than 0 ​ .41​because 9 ​ ​is less than 4 ​ 1​. Do you agree with Ivan? Explain.

Scoring Notes for Item 6 Points Description 1 Student response includes the following component: •

0

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Reasoning: 1 point Student correctly explains Ivan’s mistake.

No, I do not agree with Ivan. He didn’t think about place value. Tenths is the largest unit and 9 tenths are greater than 4 tenths.

Student response is missing or incorrect.

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A N SW E R K E Y ▸ M OD U L E AS S E S S M E NT 1

205

A Story of Units®

Fractional Units ▸ 4 ASSESSMENT RESOURCES

Module

1

Place Value Concepts for Addition and Subtraction

2

Place Value Concepts for Multiplication and Division

3

Multiplication and Division of Multi-Digit Numbers

4

Foundations for Fraction Operations

5

Place Value Concepts for Decimal Fractions

6

Angle Measurements and Plane Figures

EUREKA MATH2 Tennessee Edition

Topic Quiz

A

4 ▸ M6 ▸ TA ▸ Topic Quiz A-1

Name

Date

1. Match each figure to the correct term. Write one answer from the given answer choices in each box.

Figure

Term

H

J

I

D C

Z

X

Y

A B

Answer Choices point

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line segment

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ray

line

angle

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209

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TA ▸ Topic Quiz A-1

2. Use the rays provided to draw each type of angle. Label the angle with an arc.

Acute Angle

Obtuse Angle

Straight Angle

210

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Right Angle

Reflex Angle

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EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TA ▸ Topic Quiz A-1

3. Indicate whether each pair of lines appears to be parallel, perpendicular, or neither parallel nor perpendicular.

Parallel

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Perpendicular

Neither

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211

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TA ▸ Topic Quiz A-1

4. Which statement best describes the figure shown?

A. The figure appears to have 2 pairs of parallel sides.

B. The figure appears to have 1 pair of parallel sides and no right angles.

C. The figure appears to have 1 pair of parallel sides and exactly 1 right angle.

D. The figure appears to have 1 pair of parallel sides and 2 right angles.

5. Consider the figure shown.

Circle an answer choice in each box to make each statement true.

V

W

X Z _

_

_

_

_

_

Y

VW ​​ ​​ and ​​ VZ ​​ appear to be (A) .

WX ​​ ​​ and ​​ XY ​​ appear to be (B) .

WX ​​ ​​ and ​​ VZ ​​ appear to be (C) .

212

A

B

C

parallel

parallel

parallel

perpendicular

perpendicular

perpendicular

neither parallel nor perpendicular

neither parallel nor perpendicular

neither parallel nor perpendicular

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EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TA ▸ Topic Quiz A-1

ANSWE R KE Y ▸ TOPIC QUIZ A-1 1. Match each figure to the correct term. Write one answer from the given answer choices in each box.

Figure

Term

H

J angle

I

D

line

C

point

Z

X

line segment

Y

A

ray

B

Answer Choices point

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line segment

ray

line

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angle

213

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TA ▸ Topic Quiz A-1

2. Use the rays provided to draw each type of angle. Label the angle with an arc.

Acute Angle

Straight Angle

214

AN SWER K E Y ▸ TOPIC QUIZ A-1

Obtuse Angle

Right Angle

Reflex Angle

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EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TA ▸ Topic Quiz A-1

3. Indicate whether each pair of lines appears to be parallel, perpendicular, or neither parallel nor perpendicular.

Parallel

Perpendicular

Neither

X

X

X

X

X

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A N SW E R K E Y ▸ TOPIC QU IZ A-1

215

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TA ▸ Topic Quiz A-1

4. Which statement best describes the figure shown?

Distractor rationale: A. Incorrect. The student may have confused parallel with perpendicular.

B. Incorrect.

The student A. The figure appears to have 2 pairs of parallel sides. may have only considered the B. The figure appears to have 1 pair of parallel sides and no right angles. angles on the C. The figure appears to have 1 pair of parallel sides and exactly 1 right angle. right side of the figure.

D. The figure appears to have 1 pair of parallel sides and 2 right angles.

5. Consider the figure shown.

Circle an answer choice in each box to make each statement true.

V

W

C. Incorrect. The student may have missed 1 of the right angles.

D. Correct.

X Z _

_

_

_

_

_

Y

VW ​​ ​​ and ​​ VZ ​​ appear to be (A) .

WX ​​ ​​ and ​​ XY ​​ appear to be (B) .

WX ​​ ​​ and ​​ VZ ​​ appear to be (C) .

216

A

B

C

parallel

parallel

parallel

perpendicular

perpendicular

perpendicular

neither parallel nor perpendicular

neither parallel nor perpendicular

neither parallel nor perpendicular

AN SWER K E Y ▸ TOPIC QUIZ A-1

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EUREKA MATH2 Tennessee Edition

Topic Quiz

B

4 ▸ M6 ▸ TB ▸ Topic Quiz B-1

Name

Date

1. An angle turns through _ ​​360​​ of a circle. What is the measure of the angle in degrees?

117

degrees 2. Shen draws the angle shown.

Write one answer from the given answer choices in each blank.

This is

angle, so its measure can be

degrees.

Answer Choices an acute

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a right

an obtuse

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45

90

135

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217

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TB ▸ Topic Quiz B-1

3. What is the measure of each angle?

10 2 0 170 16 0

170 160 150 20 10 30

40

30 150 40 14 0

0 14

80 90 100 11 0 1 70 20 80 7 60 110 100 0 13 6 0 0 0 0 5 12 5 0 0 13

0 180

0 180

170 160 150 20 10 30

40

10 2 0 3 170 16 0 1 0 4 50 0 14 0

0 14

80 90 100 11 0 1 70 20 80 7 60 110 100 0 60 130 0 0 2 5 1 50 0 13

0 180

218

degrees

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degrees

0 180

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EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TB ▸ Topic Quiz B-1

4. How many degrees does the minute hand of a clock turn from 8:00 to 8:30?

A. 6° B. 30° C. 90° D. 180° 5. Use a protractor to measure each angle.

degrees

degrees

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219

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TB ▸ Topic Quiz B-1

6. Draw a second ray to create a 163° angle. Mark the angle with an arc. Use a protractor.

7. Draw a second ray to create a 41° angle. Mark the angle with an arc. Use a protractor.

220

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EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TB ▸ Topic Quiz B-1

ANSWE R KE Y ▸ TOPIC QUIZ B -1 1. An angle turns through _ ​​360​​ of a circle. What is the measure of the angle in degrees?

117

117 degrees 2. Shen draws the angle shown.

Write one answer from the given answer choices in each blank.

This is

an obtuse

angle, so its measure can be

135 degrees.

Answer Choices an acute

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a right

an obtuse

45

90

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135

221

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TB ▸ Topic Quiz B-1

3. What is the measure of each angle?

170 160 150 20 10 30

40

10 2 0 3 170 16 0 1 0 4 50 0 14 0

0 14

80 90 100 11 0 1 70 20 80 7 60 110 100 0 6 0 0 130 50 12 50 0 13

0 180

0 180

10 2 0 3 170 16 0 1 0 4 50 0 14 0

170 160 150 20 10 30

AN SWER K E Y ▸ TOPIC QUIZ B-1

40

222

0 14

80 90 100 11 0 1 70 20 80 7 60 110 100 0 60 130 0 0 2 5 1 50 0 13

0 180

142 degrees

35

degrees

0 180

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EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TB ▸ Topic Quiz B-1

4. How many degrees does the minute hand of a clock turn from 8:00 to 8:30?

Distractor rationale: A. Incorrect. The student may have thought that

6 _ ​​ ​​ of a circle equals 6 degrees.

12

B. Incorrect. The student may have thought that

A. 6°

30 _ ​​ ​​ of a circle equals 30 degrees.

60 C. Incorrect. The student may have thought that a straight angle equals 90 degrees.

B. 30°

D. Correct.

C. 90° D. 180° 5. Use a protractor to measure each angle.

125 degrees

70

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degrees

A N SW E R K E Y ▸ TOPIC QU IZ B -1

223

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TB ▸ Topic Quiz B-1

6. Draw a second ray to create a 163° angle. Mark the angle with an arc. Use a protractor.

7. Draw a second ray to create a 41° angle. Mark the angle with an arc. Use a protractor.

224

AN SWER K E Y ▸ TOPIC QUIZ B-1

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EUREKA MATH2 Tennessee Edition

Topic Quiz

C

4 ▸ M6 ▸ TC ▸ Topic Quiz C-1

Name

Date

1. The measure of ∠GFH is 42°. The measure of ∠HFI is 107°.

H

42°

I

107°

G

F

What is the measure of ∠GFI ? degrees

2. The measure of ∠RTS is 58°. The measure of ∠RTU is 90°.

U S

58° What is the measure of ∠STU ?

R

x° T

degrees

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225

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TC ▸ Topic Quiz C-1

3. The measure of ∠KNL is 24°. The measure of ∠KNM is 180°.

L

K

24°

x° N

M

What is the measure of ∠LNM ? degrees

4. The measure of ∠VZY is 180°.

X W V

16°

n°

75° Z

Y

What is the measure of ∠WZX ?

A. 89°

B. 90° C. 91° D. 271°

226

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EUREKA MATH2 Tennessee Edition

_

4 ▸ M6 ▸ TC ▸ Topic Quiz C-1

_

5. ​​AC ​​ and DB ​​ ​​ intersect at E.

The measure of ∠AEB is 135°.

A

135° D

The measure of ∠AED is The measure of ∠DEC is

The measure of ∠CEB is

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B

E

C degrees. degrees. degrees.

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227

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TC ▸ Topic Quiz C-1

6. The measure of each angle in an equilateral triangle is 60°.

60°

60°

60°

Casey draws a line segment inside the triangle and finds the measure of an angle, as shown.

t° 45° Part A Which equation could Casey use to find the value of t?

A. t = 60 + 45 B. t = 60 − 45 C. t = 90 − 45 D. t = 180 − 45 Part B What is the value of t?

t=

228

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EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TC ▸ Topic Quiz C-1

ANSWER KE Y ▸ TOPIC QUIZ C-1 1. The measure of ∠GFH is 42°. The measure of ∠HFI is 107°.

H

42°

I

107°

G

F

What is the measure of ∠GFI ?

149 degrees

2. The measure of ∠RTS is 58°. The measure of ∠RTU is 90°.

U S

58° What is the measure of ∠STU ?

32

© Great Minds PBC

R

x° T

degrees

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229

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TC ▸ Topic Quiz C-1

3. The measure of ∠KNL is 24°. The measure of ∠KNM is 180°.

L

K

24°

x° N

M

What is the measure of ∠LNM ?

156 degrees

4. The measure of ∠VZY is 180°.

X W V

16°

n°

75° Z

Y

What is the measure of ∠WZX ?

A. 89°

B. 90° C. 91° D. 271° Distractor rationale: A. Correct.

B. Incorrect. The student may have estimated that the angle is a right angle based on appearance.

C. Incorrect. The student may have forgotten to subtract the sum of the two given angle measures from 180.

D. Incorrect. The student may have added the two given angle measures to 180 instead of subtracting them from 180.

230

AN SWER K E Y ▸ TOPIC QUIZ C-1

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EUREKA MATH2 Tennessee Edition

_

4 ▸ M6 ▸ TC ▸ Topic Quiz C-1

_

5. ​​AC ​​ and DB ​​ ​​ intersect at E.

The measure of ∠AEB is 135°.

A

135° D

The measure of ∠AED is The measure of ∠DEC is

The measure of ∠CEB is

© Great Minds PBC •

B

E

C 45

degrees.

135 degrees.

45

degrees.

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A N SWE R K E Y ▸ TOPIC QU IZ C-1

231

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TC ▸ Topic Quiz C-1

6. The measure of each angle in an equilateral triangle is 60°.

60°

60°

60°

Casey draws a line segment inside the triangle and finds the measure of an angle, as shown.

t° 45° Part A Which equation could Casey use to find the value of t?

A. t = 60 + 45

Distractor rationale:

B. t = 60 − 45

A. Incorrect. The student may have added instead of subtracted.

C. t = 90 − 45 D. t = 180 − 45 Part B What is the value of t?

t=

232

B. Correct.

C. Incorrect. The student may have thought the sum of the angles is the benchmark angle 90° instead of 60°.

D. Incorrect. The student may have subtracted 45 from the sum of all three angles in the triangle.

15

AN SWER K E Y ▸ TOPIC QUIZ C-1

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EUREKA MATH2 Tennessee Edition

Topic Quiz

D

4 ▸ M6 ▸ TD ▸ Topic Quiz D-1

Name

Date

1. Classify each triangle by its angles.

Write the letter of each triangle in the correct category.

Right Triangle

A

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Obtuse Triangle

B

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C

Acute Triangle

D

E

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233

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TD ▸ Topic Quiz D-1

2. Which figures appear to show a line of symmetry?

Choose the three correct answers.

A.

B.

C.

D.

E.

234

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EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TD ▸ Topic Quiz D-1

3. Liz classified six polygons into the two groups shown.

Group A

Group B

Part A What do the polygons in Group A appear to have in common?

A. At least one acute angle B. Exactly one pair of parallel sides C. More than one pair of parallel sides D. At least one pair of perpendicular sides Part B What do the polygons in Group B appear to have in common?

A. At least one acute angle B. Exactly one pair of parallel sides C. More than one pair of parallel sides D. At least one pair of perpendicular sides

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235

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TD ▸ Topic Quiz D-1

Part C Circle an answer choice to make the statement true.

The polygon shown belongs in

.

Group A Group B both Group A and Group B neither Group A nor Group B

4. Draw all lines of symmetry for the figure shown.

236

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EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TD ▸ Topic Quiz D-1

5. Classify the triangle shown.

Circle an answer in each box to make the statement true.

This is

(A)

(B) triangle.

A

B

an acute

equilateral

an obtuse

isosceles

a right

scalene

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This page may be reproduced for classroom use only.

237

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TD ▸ Topic Quiz D-1

ANSWER KE Y ▸ TOPIC QUIZ D -1 1. Classify each triangle by its angles.

Write the letter of each triangle in the correct category.

Right Triangle

Obtuse Triangle

Acute Triangle

C

B, E

A, D

A

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B

C

D

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E

239

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TD ▸ Topic Quiz D-1

2. Which figures appear to show a line of symmetry?

Choose the three correct answers.

A.

Distractor rationale:

B.

B. Correct.

A. Incorrect. The student may have thought that the line of symmetry passes through the middle of the height of the figure.

C. Incorrect. The student may have thought that the line of symmetry passes through the middle of the width of the figure.

D. Correct.

E. Correct.

C.

D.

E.

240

AN SWER K E Y ▸ TOPIC QUIZ D -1

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EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TD ▸ Topic Quiz D-1

3. Liz classified six polygons into the two groups shown.

Group A

Group B

Part A What do the polygons in Group A appear to have in common?

A. At least one acute angle B. Exactly one pair of parallel sides C. More than one pair of parallel sides D. At least one pair of perpendicular sides

Distractor rationale: A. Incorrect. The student may have thought the pentagon has an acute angle.

B. Correct.

C. Incorrect. The student may have counted each parallel side instead of each pair of parallel sides.

D. Incorrect. The student may have confused the meanings of parallel and perpendicular.

Part B

What do the polygons in Group B appear to have in common?

A. At least one acute angle B. Exactly one pair of parallel sides C. More than one pair of parallel sides D. At least one pair of perpendicular sides

Distractor rationale: A. Incorrect. The student may have thought the hexagon has an acute angle.

B. Incorrect. The student may have only identified one pair of parallel sides in each shape.

C. Correct.

D. Incorrect. The student may have confused the meanings of parallel and perpendicular.

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A N SWE R K E Y ▸ TOPIC QU IZ D-1

241

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TD ▸ Topic Quiz D-1

Part C Circle an answer choice to make the statement true.

The polygon shown belongs in

.

Group A Group B both Group A and Group B neither Group A nor Group B

4. Draw all lines of symmetry for the figure shown.

242

AN SWER K E Y ▸ TOPIC QUIZ D -1

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EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ TD ▸ Topic Quiz D-1

5. Classify the triangle shown.

Circle an answer in each box to make the statement true.

This is

(A)

(B) triangle.

A

B

an acute

equilateral

an obtuse

isosceles

a right

scalene

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A N SWE R K E Y ▸ TOPIC QU IZ D-1

243

EUREKA MATH2 Tennessee Edition

Module Assessment

4 ▸ M6 ▸ Module Assessment 1

Name

Date

1. Which figures appear to show a line of symmetry?

Choose the three correct answers.

A.

B.

C.

D.

E.

F.

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This page may be reproduced for classroom use only.

245

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ Module Assessment 1

2. Classify each angle as acute, right, obtuse, straight, or reflex.

Angle

246

Acute

Right

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Obtuse

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Straight

Reflex

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EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ Module Assessment 1

3. Draw all lines of symmetry for the figure shown.

4. Find the degree measure of each angle.

10 2 0 170 16 0

170 160 150 20 10 30

40

30 150 40 14 0

0 14

80 90 100 11 0 1 70 20 80 7 60 110 100 0 60 130 0 0 2 5 1 50 0 13

0 180

degrees

0 180

80 90 100 11 0 1 70 20 80 7 100 0 0 1 1 13 6 0 0 0 0 5 12 50 0 3 1

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170 160 150 20 10 30

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40

0 180

0 14

10 2 0 3 170 16 0 1 0 4 50 0 14 0

60

degrees

0 180

This page may be reproduced for classroom use only.

247

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ Module Assessment 1

5. The measure of ∠DPA is 90°. Use the figure shown to find the measures of the angles.

D C 11° x° P

38°

The measure of ∠CPA is

degrees.

The measure of ∠DPC is

degrees.

B

A

6. What fraction of a circle is a 58° angle?

_ ​​ ​​ 360

7. Draw to complete each figure in the table.

Perpendicular Lines

248

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Parallel Lines

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EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ Module Assessment 1

8. Classify each triangle.

Write the letter of each triangle in the category in which it belongs.

Right Triangle

A

Obtuse Triangle

B

Acute Triangle

C

D

E

9. Which statements appear to be true about the figure shown? Choose the three correct answers.

J H

I

O

N M

_

_

_

_

K

L

A. ​​HO​​ is parallel to KL ​​ ​​.

B. ​​MN ​​ is parallel to ON ​​ ​​ . _

_

C. ​​HI ​​ is parallel to ML ​​ ​​. _

_

D. ​​NM ​​ is perpendicular to ML ​​ ​​. _

_

E. ​​JK ​​ is perpendicular to ​​ON ​​. © Great Minds PBC •

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This page may be reproduced for classroom use only.

249

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ Module Assessment 1

10. Deepa stands in the middle of six friends as shown.

Circle an answer choice in each box to make the statements true.

David Amy

Robin

Casey

Deepa

Carla Gabe

Deepa faces Amy and turns clockwise _​​8​​ of a circle.

1

She turns

250

(A)

degrees. She now faces

(B)

A

B

0

David

45

Amy

90

Casey

135

Robin

180

Carla

270

Gabe

This page may be reproduced for classroom use only.

.

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This document is the confidential information of Great Minds PBC provided solely for review purposes which may not be reproduced or distributed. All rights reserved.

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ Module Assessment 1

ANSWER KE Y ▸ MODULE ASSESSM ENT 1 1. Which figures appear to show a line of symmetry?

Choose the three correct answers.

A.

B.

C.

D.

E.

F.

Distractor rationale: A. Correct.

B. Correct.

C. Incorrect. The student may have thought that the line of symmetry divides the figure in half.

D. Incorrect. The student may have thought that the line of symmetry passes across the middle of the figure.

E. Correct.

F.

Incorrect. The student may have thought that the line of symmetry divides the triangle into any 2 triangles.

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251

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ Module Assessment 1

2. Classify each angle as acute, right, obtuse, straight, or reflex.

Angle

Acute

Right

Obtuse

Straight

Reflex

X

X

X

X

X

252

AN SWER K E Y ▸ MODULE ASS ESSM E N T 1

© Great Minds PBC •

This document is the confidential information of Great Minds PBC provided solely for review purposes which may not be reproduced or distributed. All rights reserved.

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ Module Assessment 1

3. Draw all lines of symmetry for the figure shown.

4. Find the degree measure of each angle.

10 2 0 170 16 0

170 160 150 20 10 30

40

30 150 40 14 0

0 14

80 90 100 11 0 1 70 20 80 7 60 110 100 0 60 130 0 0 2 5 1 50 0 13

0 180

125 degrees

0 180

80 90 100 11 0 1 70 20 80 7 100 0 0 1 1 13 6 0 0 0 0 5 12 50 0 3 1

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170 160 150 20 10 30

© Great Minds PBC •

40

0 180

0 14

10 2 0 3 170 16 0 1 0 4 50 0 14 0

60

98

degrees

0 180

A N SW E R K E Y ▸ M OD U L E AS S E S S M E NT 1

253

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ Module Assessment 1

5. The measure of ∠DPA is 90°. Use the figure shown to find the measures of the angles.

D C 11° x° P

38°

The measure of ∠CPA is

49

degrees.

The measure of ∠DPC is

41

degrees.

B

A

6. What fraction of a circle is a 58° angle?

58 _ ​​ ​​ 360

7. Draw to complete each figure in the table.

Perpendicular Lines

254

AN SWER K E Y ▸ MODULE ASS ESSM E N T 1

Parallel Lines

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This document is the confidential information of Great Minds PBC provided solely for review purposes which may not be reproduced or distributed. All rights reserved.

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ Module Assessment 1

8. Classify each triangle.

Write the letter of each triangle in the category in which it belongs.

Right Triangle

Obtuse Triangle

Acute Triangle

A, C

D

B, E

A

B

C

D

E

9. Which statements appear to be true about the figure shown? Choose the three correct answers.

J

H

I

O

N M

_

_

_

_

A. ​​HO​​ is parallel to KL ​​ ​​. _

_

A. Correct.

_

_

D. ​​NM ​​ is perpendicular to ML ​​ ​​. _

_

E. ​​JK ​​ is perpendicular to ​​ON ​​.

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L

Distractor rationale:

B. ​​MN ​​ is parallel to ON ​​ ​​ .

C. ​​HI ​​ is parallel to ML ​​ ​​.

K

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B. Incorrect. The student may have confused parallel with perpendicular.

C. Correct.

D. Correct.

E. Incorrect. The student may have confused perpendicular with parallel.

A N SW E R K E Y ▸ M OD U L E AS S E S S M E NT 1

255

EUREKA MATH2 Tennessee Edition

4 ▸ M6 ▸ Module Assessment 1

10. Deepa stands in the middle of six friends as shown.

Circle an answer choice in each box to make the statements true.

David Amy

Robin

Casey

Deepa

Carla Gabe

Deepa faces Amy and turns clockwise _​​8​​ of a circle.

1

She turns

256

(A)

degrees. She now faces

(B)

A

B

0

David

45

Amy

90

Casey

135

Robin

180

Carla

270

Gabe

AN SWER K E Y ▸ MODULE ASS ESSM E N T 1

.

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This document is the confidential information of Great Minds PBC provided solely for review purposes which may not be reproduced or distributed. All rights reserved.

Acknowledgments Kelly Alsup, Lisa Babcock, Adam Baker, Reshma P. Bell, Joseph T. Brennan, Leah Childers, Mary Christensen-Cooper, Jill Diniz, Janice Fan, Scott Farrar, Krysta Gibbs, Torrie K. Guzzetta, Kimberly Hager, Eddie Hampton, Andrea Hart, Rachel Hylton, Travis Jones, Liz Krisher, Courtney Lowe, Bobbe Maier, Ben McCarty, Ashley Meyer, Bruce Myers, Marya Myers, Victoria Peacock, Maximilian Peiler-Burrows, Marlene Pineda, Elizabeth Re, Jade Sanders, Deborah Schluben, Colleen Sheeron-Laurie, Jessica Sims, Tara Stewart, Mary Swanson, James Tanton, Julia Tessler, Jillian Utley, Saffron VanGalder, Rafael Velez, Jackie Wolford, Jim Wright, Jill Zintsmaster Trevor Barnes, Brianna Bemel, Adam Cardais, Christina Cooper, Natasha Curtis, Jessica Dahl, Brandon Dawley, Delsena Draper, Sandy Engelman, Tamara Estrada, Soudea Forbes, Jen Forbus, Reba Frederics, Liz Gabbard, Diana Ghazzawi, Lisa Giddens-White, Laurie Gonsoulin, Nathan Hall, Cassie Hart, Marcela Hernandez, Rachel Hirsh, Abbi Hoerst, Libby Howard, Amy Kanjuka, Ashley Kelley, Lisa King, Sarah Kopec, Drew Krepp, Crystal Love, Maya Márquez, Siena Mazero, Cindy Medici, Ivonne Mercado, Sandra Mercado, Brian Methe, Patricia Mickelberry, Mary-Lise Nazaire, Corinne Newbegin, Max Oosterbaan, Tamara Otto, Christine Palmtag, Andy Peterson, Lizette Porras, Karen Rollhauser, Neela Roy, Gina Schenck, Amy Schoon, Aaron Shields, Leigh Sterten, Mary Sudul, Lisa Sweeney, Samuel Weyand, Dave White, Charmaine Whitman, Nicole Williams, Glenda Wisenburn-Burke, Howard Yaffe

Credits For a complete list of credits, visit http://eurmath.link/media-credits

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257