EM2 Tennessee Learn | Grade 5 Module 5 by Great Minds

A Story of Units®

Fractions Are Numbers LEARN ▸ Module 5 ▸ Addition and Multiplication with Area and Volume

Student

Talking Tool Share Your Thinking

I know . . . . I did it this way because . . . . The answer is

because . . . .

My drawing shows . . . . Agree or Disagree

I agree because . . . . That is true because . . . . I disagree because . . . . That is not true because . . . . Do you agree or disagree with

Ask for Reasoning

Why did you . . . ? Can you explain . . . ? What can we do first? How is

Say It Again

related to

I heard you say . . . . said . . . . Another way to say that is . . . . What does that mean?

Content Terms

Place a sticky note here and add content terms.

? Why?

What does this painting have to do with math? Color and music fascinated Wassily Kandinsky, an abstract painter and trained musician in piano and cello. Some of his paintings appear to be “composed” in a way that helps us see the art as a musical composition. In math, we compose and decompose numbers to help us become more familiar with the number system. When you look at a number, can you see the parts that make up the total? On the cover Thirteen Rectangles, 1930 Wassily Kandinsky, Russian, 1866–1944 Oil on cardboard Musée des Beaux-Arts, Nantes, France Wassily Kandinsky (1866–1944), Thirteen Rectangles, 1930. Oil on cardboard, 70 x 60 cm. Musée des Beaux-Arts, Nantes, France. © 2020 Artists Rights Society (ARS), New York. Image credit: © RMN-Grand Palais/Art Resource, NY

EM2_0503SE_cover_page.indd 1

03-Dec-21 11:54:21 AM

Great Minds® is the creator of Eureka Math®, Wit & Wisdom®, Alexandria Plan™, and PhD Science®. Published by Great Minds PBC. greatminds.org Copyright © 2022 Great Minds PBC. All rights reserved. No part of this work may be reproduced or used in any form or by any means—graphic, electronic, or mechanical, including photocopying or information storage and retrieval systems—without written permission from the copyright holder. Printed in the USA 1 2 3 4 5 6 7 8 9 10 XXX 25 24 23 22 21 ISBN 978-1-63898-518-1

EM2_0505SE_title_page.indd 2

12/3/2021 5:06:06 PM

A Story of Units®

Fractions Are Numbers ▸ 5 LEARN

Module

EM2_0505SE_title_page.indd 1

1 2 3 4 5 6

Place Value Concepts for Multiplication and Division with Whole Numbers

Addition and Subtraction with Fractions

Multiplication and Division with Fractions

Place Value Concepts for Decimal Operations

Addition and Multiplication with Area and Volume

Foundations to Geometry in the Coordinate Plane

12/3/2021 5:06:06 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5

Contents Addition and Multiplication with Area and Volume Topic A

Lesson 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77

Drawing, Analysis, and Classification of Two-Dimensional Figures

Find the area of a rectangle with fraction side lengths by relating the rectangle to a unit square.

Lesson 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Analyze hierarchies and identify properties of quadrilaterals.

Lesson 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Classify trapezoids based on their properties. Lesson 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Classify parallelograms based on their properties.

Lesson 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 Classify rectangles and rhombuses based on their properties. Lesson 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Classify kites and squares based on their properties.

Lesson 11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 Find areas of rectangles with fraction side lengths by using multiplication. Lesson 12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 Multiply mixed numbers. Lesson 13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103 Solve mathematical problems involving areas of composite figures with mixed-number side lengths.

Lesson 14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 Solve real-world problems involving areas of composite figures with mixed-number side lengths. Lesson 15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127

Lesson 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 Identify quadrilaterals from given properties.

Solve multi-step word problems involving multiplication of mixed numbers.

Lesson 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 Classify quadrilaterals in a hierarchy based on properties.

Topic C

Topic B Areas of Rectangular Figures with Fraction Side Lengths Lesson 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 Find areas of square tiles with fraction side lengths by relating the tile to a unit square.

Lesson 9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 Organize, count, and represent a collection of square tiles.

EM2_0505SE_content.indd 2

Volume Concepts Lesson 16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 Identify attributes and properties of right rectangular prisms. Lesson 17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153 Find the volume of right rectangular prisms by packing with unit cubes and counting. Lesson 18 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173 Find the volume of right rectangular prisms by packing with improvised units.

12/3/2021 3:33:49 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5

Lesson 19 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187

Lesson 25 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 261

Compose and decompose right rectangular prisms to find their volume by using layers.

Find the volumes of solid figures composed of right rectangular prisms.

Lesson 20 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195 Interpret volume as filling.

Lesson 26 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 269 Solve word problems involving perimeter, area, and volume.

Lesson 21 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 205 Relate volumes of solids and liquid volume.

Topic D Volume and the Operations of Multiplication and Addition Lesson 22 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219 Find the volumes of right rectangular prisms by using the area of the base.

Lesson 23 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 233 Find the volumes of right rectangular prisms by multiplying the edge lengths.

Lesson 27 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283 Apply concepts and formulas of volume to design a sculpture by using right rectangular prisms, part 1.

Lesson 28 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287 Apply concepts and formulas of volume to design a sculpture by using right rectangular prisms, part 2.

Credits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 293 Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . 294

Lesson 24 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 247 Solve word problems involving volumes of right rectangular prisms.

EM2_0505SE_content.indd 3

12/3/2021 3:33:49 PM

EM2_0505SE_content.indd 4

12/3/2021 3:33:49 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 1 ▸ Collection of Figures

G I

EM2_0505SE_A_L01_removable_collection_of_figures.indd 5

12/3/2021 2:43:44 PM

EM2_0505SE_A_L01_removable_collection_of_figures.indd 6

12/3/2021 2:43:44 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 1

Name

Date

1. Consider the two-dimensional figures shown to complete parts (a)–(c).

a. Circle each two-dimensional figure that is a polygon. b. Use blue to color each polygon that is a triangle. c. Use red to color each polygon that is a quadrilateral.

2. Complete the Venn diagram by writing properties of the figures in the correct section. Triangles

EM2_0505SE_A_L01_problem_set.indd 7

Rectangles

12/3/2021 2:45:37 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 1

3. Circle each name that correctly describes the figure.

L 73° I

75°

122° J Two-dimensional figure

Three-dimensional figure

PROBLEM SET

EM2_0505SE_A_L01_problem_set.indd 8

Quadrilateral

Polygon

Triangle Non-polygon

12/3/2021 2:45:38 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 1

4. Leo made a hierarchy to classify some living things. Living Things

Plants

Trees

Pines

Mosses

Animals

Mammals

Maples

Penguins

Birds

Seagulls

a. Circle whether the statements are true or false. All maples are trees.

True

False

All trees are maples.

True

False

All living things are animals.

True

False

All seagulls are animals.

True

False

All plants use the sun to make energy, so all mosses use the sun to make energy.

True

False

All birds lay eggs, so all penguins lay eggs.

True

False

b. All birds have exactly two legs. Does that mean that all animals have exactly two legs? Explain.

EM2_0505SE_A_L01_problem_set.indd 9

PROBLEM SET

12/3/2021 2:45:38 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 1

5. Sasha says that all quadrilaterals are polygons. Ryan says that all polygons are quadrilaterals. Who is correct? Explain.

PROBLEM SET

EM2_0505SE_A_L01_problem_set.indd 10

12/3/2021 2:45:38 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TA ▸ Lesson 1

Date

1. Consider the hierarchy shown.

Triangles

a. Are all acute triangles equilateral? b. Are all equilateral triangles acute?

Acute

c. All equilateral triangles have 3 lines of symmetry. Does that mean that all triangles have 3 lines of symmetry? Explain.

Equilateral

Right

Obtuse

2. Name two properties of quadrilaterals.

EM2_0505SE_A_L01_exit_ticket.indd 11

12/3/2021 2:46:45 PM

EM2_0505SE_A_L01_exit_ticket.indd 12

12/3/2021 2:46:45 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 2

Name

Date

1. Circle the quadrilaterals that are trapezoids.

2. Consider the trapezoid.

126°

54° a. What is the sum of the angle measures in a trapezoid? b. Is this true for all trapezoids? Explain.

EM2_0505SE_A_L02_problem_set.indd 13

12/3/2021 2:41:57 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 2

3. Consider the trapezoid.

a. Kelly says that a property of trapezoids is that they have 1 pair of opposite sides with equal length. Toby disagrees. He says that Kelly’s statement describes an attribute of this trapezoid, not a property of all trapezoids. Who is correct? Explain.

b. Sketch a trapezoid that does not have 1 pair of opposite sides with equal length.

c. Write one example of a property of trapezoids.

PROBLEM SET

EM2_0505SE_A_L02_problem_set.indd 14

12/3/2021 2:41:58 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 2

4. Mark each statement as always true, sometimes true, or never true. Statement

Always True

Sometimes True

Never True

A trapezoid has 2 pairs of parallel sides. A trapezoid can have more than 4 sides. A trapezoid is a quadrilateral. A quadrilateral is a trapezoid. The sum of the angles of a trapezoid is 360°. A trapezoid has exactly 1 pair of supplementary angles.

EM2_0505SE_A_L02_problem_set.indd 15

PROBLEM SET

12/3/2021 2:41:58 PM

EM2_0505SE_A_L02_problem_set.indd 16

12/3/2021 2:41:58 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TA ▸ Lesson 2

Date

1. Sketch a trapezoid that has exactly 1 pair of parallel sides. Label the parallel sides.

2. Name a property of trapezoids.

EM2_0505SE_A_L02_exit_ticket.indd 17

12/3/2021 2:42:18 PM

EM2_0505SE_A_L02_exit_ticket.indd 18

12/3/2021 2:42:18 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TA ▸ Lesson 3

Date

1. Consider the polygons shown.

a. Circle each trapezoid. b. Use red to color each parallelogram.

EM2_0505SE_A_L03_problem_set.indd 19

12/3/2021 2:58:51 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 3

2. Mark each statement as true or false. If the statement is false, sketch an example that shows why it is false. Statement

True

False

Sketch

A parallelogram has only 1 pair of parallel sides.

A parallelogram cannot have any lines of symmetry.

The diagonals of a parallelogram intersect at their midpoints. The sum of the measures of the angles in a parallelogram is 360°. A parallelogram has side lengths that are all equal. Opposite angles in a parallelogram have the same measure. A parallelogram has at least 2 pairs of supplementary angles.

PROBLEM SET

EM2_0505SE_A_L03_problem_set.indd 20

12/3/2021 2:58:51 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 3

3. Sana says that because all parallelograms are trapezoids, all trapezoids must also be parallelograms. Is she correct? Explain your reasoning with a picture and words.

EM2_0505SE_A_L03_problem_set.indd 21

PROBLEM SET

12/3/2021 2:58:52 PM

EM2_0505SE_A_L03_problem_set.indd 22

12/3/2021 2:58:52 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TA ▸ Lesson 3

Date

1. Consider the polygons shown.

a. Circle each polygon that is a quadrilateral. b. Write the letter T in each polygon that is a trapezoid. c. Write the letter P in each polygon that is a parallelogram.

2. When can a trapezoid be classified as a parallelogram?

EM2_0505SE_A_L03_exit_ticket.indd 23

12/3/2021 2:57:48 PM

EM2_0505SE_A_L03_exit_ticket.indd 24

12/3/2021 2:57:48 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TA ▸ Lesson 4

Date

1. Consider rectangle ABCD.

a. Use a ruler to draw the diagonals of the rectangle. b. Measure the diagonals and write their lengths.

inches

inches.

c. What do you notice about the diagonal lengths of the rectangle?

d. Measure the four angles around the intersection point of the diagonals. Record the measurements on the figure. e. Are the diagonals perpendicular? How do you know?

EM2_0505SE_A_L04_classwork.indd 25

12/3/2021 2:56:42 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 4

2. Another copy of rectangle ABCD is shown. a. Use your ruler to draw the rectangle’s lines of symmetry.

b. Sketch a parallelogram without lines of symmetry.

LESSON

EM2_0505SE_A_L04_classwork.indd 26

12/3/2021 2:56:42 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TA ▸ Lesson 4

Date

1. Consider the parallelograms shown.

a. Circle each rhombus. b. Use red to color each rectangle.

EM2_0505SE_A_L04_problem_set.indd 27

12/3/2021 3:00:32 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 4

2. Identify each statement as a property of rhombuses only, rectangles only, or both rhombuses and rectangles. Statement

Rhombus Only

Rectangle Only

Rhombus and Rectangle

Opposite sides are parallel. All sides are the same length. There are at least

2 lines of symmetry. Diagonals are the same length. Opposite angles have the same measure. There are 4 right angles. Diagonals are lines of symmetry.

PROBLEM SET

EM2_0505SE_A_L04_problem_set.indd 28

12/3/2021 3:00:32 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 4

For problems 3–6, draw a figure with the properties listed if it is possible. If it is not possible, explain why. 3. Draw a rectangle with 4 sides of the same length.

4. Draw a rectangle that is not a parallelogram.

5. Draw a rhombus with exactly 1 pair of parallel sides.

6. Draw a rhombus that is also a rectangle.

EM2_0505SE_A_L04_problem_set.indd 29

PROBLEM SET

12/3/2021 3:00:32 PM

EM2_0505SE_A_L04_problem_set.indd 30

12/3/2021 3:00:32 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TA ▸ Lesson 4

Date

1. Consider the quadrilaterals shown. a. Circle each quadrilateral that is a rhombus. b. Draw an X on each quadrilateral that is a rectangle.

2. When can a parallelogram be classified as a rhombus?

3. When can a parallelogram be classified as a rectangle?

EM2_0505SE_A_L04_exit_ticket.indd 31

12/3/2021 2:59:48 PM

EM2_0505SE_A_L04_exit_ticket.indd 32

12/3/2021 2:59:48 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TA ▸ Lesson 5

Date

1. Sketch a kite.

EM2_0505SE_A_L05_classwork.indd 33

12/3/2021 3:01:49 PM

EM2_0505SE_A_L05_classwork.indd 34

12/3/2021 3:01:49 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TA ▸ Lesson 5

Date

1. Consider the quadrilaterals shown.

a. Use red to color each kite. b. Circle each square.

Sketch the shape as described. 2. Kite with 4 equal side lengths and no right angles

EM2_0505SE_A_L05_problem_set.indd 35

3. Kite that is not a trapezoid

12/3/2021 2:56:09 PM

EUREKA MATH2 Tennessee Edition

Kite Rhombus Rectangle Parallelogram Trapezoid Quadrilateral Polygon

4. Consider the polygons shown. Mark each name that can be used to classify the polygon. More than one name may be marked.

5 ▸ M5 ▸ TA ▸ Lesson 5

PROBLEM SET

EM2_0505SE_A_L05_problem_set.indd 36

12/3/2021 2:56:10 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 5

5. Scott knows that all rhombuses and squares are also kites. Because all rhombuses and squares are also trapezoids, Scott thinks that all kites must be trapezoids as well. Is he correct? Explain.

EM2_0505SE_A_L05_problem_set.indd 37

PROBLEM SET

12/3/2021 2:56:10 PM

EM2_0505SE_A_L05_problem_set.indd 38

12/3/2021 2:56:10 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TA ▸ Lesson 5

Date

1. Consider the quadrilaterals shown.

a. Circle each quadrilateral that can be classified as a kite. b. Write the letter S in each quadrilateral that can be classified as a square.

2. When can a quadrilateral be classified as a kite?

3. When can a rhombus be classified as a square?

EM2_0505SE_A_L05_exit_ticket.indd 39

12/3/2021 3:01:23 PM

EM2_0505SE_A_L05_exit_ticket.indd 40

12/3/2021 3:01:23 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 6

Name

Date

1. For each quadrilateral: •

Write the quadrilateral number.

•

Write 1–3 things all the sketches have in common.

•

Write the names of quadrilaterals that describe all quadrilaterals on the card. Quadrilateral number: Things the sketches have in common: 1.

Quadrilateral number: Things the sketches have in common: 1.

Names that describe all quadrilaterals on the card:

Quadrilateral number: Things the sketches have in common: 1.

Names that describe all quadrilaterals on the card:

Quadrilateral number: Things the sketches have in common: 1.

Names that describe all quadrilaterals on the card:

EM2_0505SE_A_L06_classwork.indd 41

12/3/2021 2:55:11 PM

EM2_0505SE_A_L06_classwork.indd 42

12/3/2021 2:55:11 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 6

Name

Date

1. Mark each shape with the given property. Property

Trapezoid

Parallelogram

Rectangle

Rhombus

Square

At least 1 pair of opposite sides are parallel.

2 pairs of opposite sides are parallel.

Opposite sides are the same length. Diagonals intersect at their midpoints. Diagonals intersect at a right angle. All sides are the same length. All angles are right angles.

EM2_0505SE_A_L06_problem_set.indd 43

12/3/2021 2:53:53 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 6

2. Write all the names from the word bank that can be used to classify each figure shown. Word Bank Quadrilateral

Trapezoid

Parallelogram

Square

Rhombus

Kite b.

Rectangle

PROBLEM SET

EM2_0505SE_A_L06_problem_set.indd 44

12/3/2021 2:53:53 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 6

3. Consider the quadrilaterals shown.

a. What properties do the figures have in common?

b. What is the most specific name that could describe all three figures?

EM2_0505SE_A_L06_problem_set.indd 45

PROBLEM SET

12/3/2021 2:53:54 PM

EM2_0505SE_A_L06_problem_set.indd 46

12/3/2021 2:53:54 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TA ▸ Lesson 6

Date

Write all the names for each figure shown.

EM2_0505SE_A_L06_exit_ticket.indd 47

12/3/2021 2:54:49 PM

EM2_0505SE_A_L06_exit_ticket.indd 48

12/3/2021 2:54:49 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ Sprint ▸ Round to the Nearest One

Sprint Round to the nearest one. 1. 2.

4.7 ≈

24.19 ≈

EM2_0505SE_A_L07_removable_fluency_sprint_round_to_the_nearest_one.indd 49

12/4/2021 3:38:59 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ Sprint ▸ Round to the Nearest One

Number Correct:

Round to the nearest one. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22.

2.9 ≈

23.

4.9 ≈

24.

6.1 ≈

26.

3.1 ≈ 5.4 ≈

25.

27.

5.48 ≈

28.

8.62 ≈

30.

7.62 ≈ 3.57 ≈ 5.57 ≈

29.

31. 32.

9.57 ≈

33.

14.4 ≈

35.

14.2 ≈

34.

26.8 ≈

36.

61.6 ≈

38.

37.28 ≈

40.

26.6 ≈ 61.62 ≈ 37.45 ≈

37.

39.

41.

49.36 ≈

42.

49.55 ≈

44.

49.91 ≈

EM2_0505SE_A_L07_removable_fluency_sprint_round_to_the_nearest_one.indd 50

43.

3.816 ≈

13.168 ≈ 7.092 ≈

57.902 ≈ 6.457 ≈

76.574 ≈ 4.803 ≈

64.308 ≈ 3.006 ≈

30.016 ≈ 80.601 ≈ 2.7 ≈ 7.2 ≈

55.529 ≈

255.259 ≈ 79.809 ≈

579.980 ≈ 99.479 ≈

199.794 ≈ 499.506 ≈ 699.005 ≈ 999.609 ≈

12/4/2021 3:38:59 PM

EM2_0505SE_A_L07_removable_fluency_sprint_round_to_the_nearest_one.indd 51

12/4/2021 3:38:59 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ Sprint ▸ Round to the Nearest One

Number Correct: Improvement:

Round to the nearest one. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22.

1.9 ≈ 3.9 ≈

23. 24.

2.1 ≈

25.

4.4 ≈

27.

5.1 ≈ 4.48 ≈ 6.62 ≈

26.

28. 29.

7.62 ≈

30.

4.57 ≈

32.

2.57 ≈

31.

9.57 ≈

33.

13.4 ≈

35.

25.6 ≈

37.

13.2 ≈ 25.8 ≈ 51.6 ≈

51.62 ≈

34.

36.

38. 39.

27.28 ≈

40.

39.36 ≈

42.

39.55 ≈

44.

27.45 ≈ 39.91 ≈

EM2_0505SE_A_L07_removable_fluency_sprint_round_to_the_nearest_one.indd 52

41.

43.

2.816 ≈

12.168 ≈ 6.092 ≈

56.902 ≈ 5.457 ≈

75.574 ≈ 3.803 ≈

63.308 ≈ 2.006 ≈

20.016 ≈ 70.601 ≈ 1.7 ≈ 7.1 ≈

55.529 ≈

155.259 ≈ 79.809 ≈

479.980 ≈ 99.479 ≈

199.794 ≈ 399.506 ≈ 599.005 ≈ 999.609 ≈

12/4/2021 3:39:00 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 7 ▸ Quadrilateral Venn Diagram

Quadrilaterals

Trapezoids

Parallelograms

Rectangles Rhombuses

Squares

Kites

EM2_0505SE_A_L07_removable_quadrilateral_venn_diagram.indd 53

12/4/2021 3:42:11 PM

EM2_0505SE_A_L07_removable_quadrilateral_venn_diagram.indd 54

12/4/2021 3:42:11 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 7 ▸ Polygons

EM2_0505SE_A_L07_removable_polygons.indd 55

12/4/2021 3:44:05 PM

EM2_0505SE_A_L07_removable_polygons.indd 56

12/4/2021 3:44:05 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TA ▸ Lesson 7

Name

Date

1. Mark each name of the polygon with X. Then circle the X for the most specific name of the polygon. Polygon

Quadrilateral Trapezoid Parallelogram Rectangle Rhombus Square Kite

EM2_0505SE_A_L07_classwork.indd 57

12/3/2021 2:52:10 PM

EM2_0505SE_A_L07_classwork.indd 58

12/3/2021 2:52:10 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TA ▸ Lesson 7

Date

Write all names for each quadrilateral shown. Circle the most specific name for each figure.

EM2_0505SE_A_L07_exit_ticket.indd 59

12/3/2021 2:50:30 PM

EM2_0505SE_A_L07_exit_ticket.indd 60

12/3/2021 2:50:30 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 8

Name

Date

1. Use the picture of the unit square to complete parts (a) and (b).

1 unit

square tiles are used to partition the unit square into ninths.

b. Each square tile has a side length of

EM2_0505SE_B_L08_problem_set.indd 61

unit.

12/3/2021 4:47:48 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 8

2. Draw a line to match each square tile to the picture that shows 1 square unit covered with that tile.

1 Square Unit

Square Tile

1 unit 5

1 unit

1 unit 6

1 unit

PROBLEM SET

EM2_0505SE_B_L08_problem_set.indd 62

12/3/2021 4:47:48 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 8

3. Use the picture of the square tile and the unit square to answer parts (a) and (b).

1 unit

1 unit 10

1 unit are needed to tile the unit square. square tiles with side lengths of __ 10

1 unit? b. What is the area of one square with side lengths of __ 10

4. Use the picture of the unit square to answer parts (a) and (b).

1 unit

a. 49 squares with side lengths of

unit are needed to tile a unit square.

b. What is the area of one of the square tiles used to cover this 1 square unit?

EM2_0505SE_B_L08_problem_set.indd 63

PROBLEM SET

12/3/2021 4:47:49 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 8

Use the Read–Draw–Write process to solve the problem.

5. Julie decorates a table by tiling it with square tiles with side lengths of _1 unit. The area of the 8 table is 1 square unit. a. How many square tiles does Julie use to tile the table?

b. What is the area of one square tile with side lengths of _1 unit? 8

PROBLEM SET

EM2_0505SE_B_L08_problem_set.indd 64

12/3/2021 4:47:49 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 8

Name

Date

What is the area of a square tile with side lengths of _1 unit? Sketch to show how you know. 5

EM2_0505SE_B_L08_exit_ticket.indd 65

12/3/2021 4:48:04 PM

EM2_0505SE_B_L08_exit_ticket.indd 66

12/3/2021 4:48:04 PM

EUREKA MATH2 Tennessee Edition

EM2_0505SE_B_L09_removable_tiles_counting_collection.indd 67

5 ▸ M5 ▸ TB ▸ Lesson 9 ▸ Tiles Counting Collection

12/4/2021 3:45:29 PM

EM2_0505SE_B_L09_removable_tiles_counting_collection.indd 68

12/4/2021 3:45:29 PM

EUREKA MATH2 Tennessee Edition

EM2_0505SE_B_L09_removable_tiles_counting_collection.indd 69

5 ▸ M5 ▸ TB ▸ Lesson 9 ▸ Tiles Counting Collection

12/4/2021 3:45:29 PM

EM2_0505SE_B_L09_removable_tiles_counting_collection.indd 70

12/4/2021 3:45:29 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 9

Name

Date

1. How many square tiles with side lengths of 2 unit are needed to cover the rectangle without gaps or overlaps?

4 units 2 units

EM2_0505SE_B_L09_classwork.indd 71

12/3/2021 4:47:19 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 9

For this counting collection, I am partners with

We are counting

We think they cover a total area of

This is how we organized and counted the collection:

We counted a total area of

altogether.

This is an equation that describes how we counted. . Self-Reflection Write one thing that worked well for you and your partner. Explain why it worked well.

Write one challenge you had. How did you work through the challenge?

LESSON

EM2_0505SE_B_L09_classwork.indd 72

12/3/2021 4:47:19 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 9

Name

Date

1. A rectangle with a length of 5 units and a width of 3 units is shown.

3 units

5 units a. Draw lines to partition the rectangle to show unit squares. b.

squares with side lengths of 1 unit are needed to cover the rectangle.

c. How many square tiles with side lengths of _1 unit are needed to cover the rectangle? 2

2. It takes 48 square tiles with side lengths of _1 unit to cover the rectangle shown. 2

6 units

2 units a. Kayla says that it would take more than 48 square tiles with a side length of _1 unit to cover 3 the rectangle. Do you agree? Explain.

b. How many tiles does it take?

EM2_0505SE_B_L09_problem_set.indd 73

12/3/2021 4:46:12 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 9

3. What is the total area that can be covered with 100 squares like the ones shown in parts (a) and (b)? a.

1 foot 4

1 foot 3

4. The rectangle shown represents the measurements of a laundry room.

8 ft

10 ft a. How many square tiles with a side length of 1 foot are needed to cover the laundry room floor?

b. How many square tiles with a side length of _1 foot are needed to cover the laundry 2 room floor?

PROBLEM SET

EM2_0505SE_B_L09_problem_set.indd 74

12/3/2021 4:46:13 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TB ▸ Lesson 9

Date

1. What is the total area of 25 square tiles if each tile has side lengths of _1 unit? 3

2. A rectangle has side lengths of 3 feet and 5 feet. How many square tiles with side lengths of _1 foot would it take to cover the rectangle? 6

EM2_0505SE_B_L09_exit_ticket.indd 75

12/3/2021 4:42:53 PM

EM2_0505SE_B_L09_exit_ticket.indd 76

12/3/2021 4:42:53 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TB ▸ Lesson 10

Date

Find the area of the rectangle. 1.

1 unit 4 1 unit 2

1 unit 2 2 units 3

EM2_0505SE_B_L10_classwork.indd 77

12/3/2021 4:42:34 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 10

3 units 4

1 unit 5

1 unit 6

3 units 5

LESSON

EM2_0505SE_B_L10_classwork.indd 78

12/3/2021 4:42:35 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 10

Name

Date

1. Use this unit square, which is partitioned into equal-size rectangles, to answer parts (a) and (b).

1 unit

a. The side lengths of the shaded rectangular tile are

b. The area of the shaded rectangular tile is

unit and

unit.

square unit because there are

equal-size rectangular tiles and 1 is shaded.

EM2_0505SE_B_L10_problem_set.indd 79

12/3/2021 4:39:35 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 10

2. A rectangle with side lengths of _ unit and _ unit is shown. Use the rectangle to complete 5 1

1 3

parts (a)–(c).

1 unit 3 1 unit 5

a. Create a unit square. Partition the unit square into equal parts. b. How many equal parts did you need to create a unit square? c. What is the area of the rectangular tile with side lengths of _ unit and _ unit? How do you 5 1

know?

PROBLEM SET

EM2_0505SE_B_L10_problem_set.indd 80

1 3

12/3/2021 4:39:36 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 10

3. A rectangle with side lengths of _ units and _ unit is shown. Use the rectangle to complete 3 4

parts (a)–(c).

1 6

1 unit 6 3 units 4

a. Create a unit square. Partition the unit square into equal parts. b. How many equal parts did you need to create a unit square? c. What is the area of the rectangle with side lengths of _ units and _ unit? 3 4

EM2_0505SE_B_L10_problem_set.indd 81

1 6

PROBLEM SET

12/3/2021 4:39:36 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 10

4. A rectangle with side lengths of _ units and _ unit is shown. Use the rectangle to complete 5 2

1 2

parts (a)–(c).

1 unit 2 2 units 5

a. Create a unit square. Partition the unit square into equal parts. b. How many equal parts do you need to create a unit square? c. What is the area of the rectangle with side lengths of _ units and _ unit? 5 2

1 2

5. What is the area of the rectangle shown?

3 units 5

1 unit 2

PROBLEM SET

EM2_0505SE_B_L10_problem_set.indd 82

12/3/2021 4:39:36 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 10

6. Sana creates a drawing to determine the area of a rectangle with a side length of _ units and 5 6

a side length of _ unit. 1 4

1 unit 4

5 units 6

Sana says the area of the rectangle is _ square unit. 1 8

Is she correct? Why?

EM2_0505SE_B_L10_problem_set.indd 83

PROBLEM SET

12/3/2021 4:39:37 PM

EM2_0505SE_B_L10_problem_set.indd 84

12/3/2021 4:39:37 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 10

Name

Date

Find the area of a rectangle with side lengths of _1 unit and _7 units. Sketch to show how you know. 2

EM2_0505SE_B_L10_exit_ticket.indd 85

12/3/2021 4:45:56 PM

EM2_0505SE_B_L10_exit_ticket.indd 86

12/3/2021 4:45:56 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 11

Name

Date

Find the area of the rectangle. 1. 6 units 5 3 units 2

Find the area of each rectangle with the given side lengths. Length (units)

Width (units)

5 6

2 3

3 2

5 6

3 2

EM2_0505SE_B_L11_classwork.indd 87

Area (square units)

_ 6

12/3/2021 4:58:47 PM

EM2_0505SE_B_L11_classwork.indd 88

12/3/2021 4:58:47 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 11

Name

Date

1. Use the models to complete parts (a)–(d).

2 units 3

6 units 5

a. Each unit square shown is partitioned into

1 unit

equal parts.

b. What is the area of each equal part?

c. Use blue to color the equal parts of the unit squares to represent the blue rectangle shown.

d. What is the area of the blue rectangle?

EM2_0505SE_B_L11_problem_set.indd 89

12/3/2021 5:51:11 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 11

2. Use the partitioned unit squares to complete parts (a)–(d).

a. How many equal parts is the unit square partitioned into?

b. What is the area of each equal part?

The rectangle represented by the green portion of the two unit squares has side lengths of

units and

units.

d. What is the area of the rectangle represented in part (c)?

PROBLEM SET

EM2_0505SE_B_L11_problem_set.indd 90

12/3/2021 5:51:12 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 11

3. Use this model, which shows four unit squares partitioned into ninths, to complete parts (a)–(d).

a. How many equal parts is each unit square partitioned into?

b. Use orange to color the equal parts of the unit squares to represent a rectangle with side

lengths of 3 units and 3 units.

c. What is the area of the rectangle?

d. Show how to find the area by multiplying.

EM2_0505SE_B_L11_problem_set.indd 91

PROBLEM SET

12/3/2021 5:51:12 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 11

Find the area of the rectangles shown. Show how you know. 4.

1 unit 2

7 units 3

3 units 2

6 units 5

6. Find the areas of the rectangles with the given side lengths.

Length (units)

Width (units)

9 _ 8

6 _ 5

10 __ 9

11 __ 10

PROBLEM SET

EM2_0505SE_B_L11_problem_set.indd 92

Area (square units)

12/3/2021 5:51:12 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 11

Name

Date

11 __

Find the area of a rectangle with side lengths of 4 units and 9 units.

EM2_0505SE_B_L11_exit_ticket.indd 93

12/3/2021 4:43:41 PM

EM2_0505SE_B_L11_exit_ticket.indd 94

12/3/2021 4:43:41 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 12

Name

Date

1. Use an area model to multiply.

2 _4  × 1 3_ 3

Whole number

Fraction

Whole number

Fraction

2. Use two different methods to evaluate 2 5    × 3 8  . Method 1:

EM2_0505SE_B_L12_classwork.indd 95

12/21/2021 11:40:09 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 12

Method 2:

LESSON

EM2_0505SE_B_L12_classwork.indd 96

12/21/2021 11:40:16 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 12

Name

Date

1. Circle the area models that can be used to find 4 × 8  3 .

4 2 3 8

4 3

8 32

2 3

8 3

2 3

EM2_0505SE_B_L12_problem_set.indd 97

8 3

2 3

16 3

8 16 3

32 8

32 2 3

2 3

8 3

12/3/2021 5:52:49 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 12

2. Write the multiplication expression that the area model represents.

1 2

Multiply. 1 × 8 = 3. 3 _ 4

PROBLEM SET

EM2_0505SE_B_L12_problem_set.indd 98

2 4. 5 _ 5 × 4 =

12/3/2021 5:52:49 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 12

5. Consider the multiplication expression 4  2 × 2  5 . a. Fill in the blanks in the area model. b. Fill in the blanks to show the sum of the partial products. 16 __

+ 1 +   5 +

c. The product of 4  2 and 2  5 is

16 5

1 2

4 10

6. The area models shown both represent 3  3 × 6  3 . The side lengths of the first area model are labeled with mixed numbers. The side lengths of the second area model are labeled with

fractions greater than 1. Use both area models to determine 3  3 × 6  3 .

20 3

31 3

EM2_0505SE_B_L12_problem_set.indd 99

10 3

PROBLEM SET

12/3/2021 5:52:50 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 12

Multiply by using a method of your choice. 1 4 × 5 _5 = 7. 2 _ 4

3 1 × 3 _4 = 8. 6 _ 2

100

PROBLEM SET

EM2_0505SE_B_L12_problem_set.indd 100

12/3/2021 5:52:50 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 12

Name

Date

Draw an area model to find 2  5 × 3  2 .

EM2_0505SE_B_L12_exit_ticket.indd 101

101

12/3/2021 5:53:47 PM

EM2_0505SE_B_L12_exit_ticket.indd 102

12/3/2021 5:53:47 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ Sprint ▸ Round To The Nearest Tenth

Sprint Round to the nearest tenth. 1. 2.

0.38 ≈

6.217 ≈

EM2_0505SE_B_L13_fluency_removable_sprint_round_to_the_nearest_tenth.indd 103

103

12/4/2021 3:48:15 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ Sprint ▸ Round To The Nearest Tenth

Number Correct:

Round to the nearest tenth. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22.

0.29 ≈

23.

0.49 ≈

24.

0.61 ≈

26.

0.31 ≈

25.

0.54 ≈

27.

0.762 ≈

29.

0.357 ≈

31.

0.548 ≈ 0.862 ≈

28.

30.

0.557 ≈

32.

1.42 ≈

34.

0.957 ≈

33.

1.44 ≈

35.

2.66 ≈

37.

2.68 ≈ 6.16 ≈

36.

38.

6.162 ≈

39.

3.745 ≈

41.

3.728 ≈

40.

4.936 ≈

42.

4.955 ≈

44.

4.991 ≈

104

EM2_0505SE_B_L13_fluency_removable_sprint_round_to_the_nearest_tenth.indd 104

43.

1.381 ≈

41.318 ≈ 3.709 ≈

53.790 ≈ 7.048 ≈

67.408 ≈ 9.007 ≈

79.070 ≈ 5.505 ≈

50.055 ≈ 60.016 ≈ 0.27 ≈ 0.72 ≈

70.552 ≈

170.525 ≈ 80.988 ≈

280.998 ≈ 95.947 ≈

395.974 ≈

449.950 ≈ 599.905 ≈ 999.959 ≈

12/4/2021 3:48:15 PM

EM2_0505SE_B_L13_fluency_removable_sprint_round_to_the_nearest_tenth.indd 105

12/4/2021 3:48:15 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ Sprint ▸ Round To The Nearest Tenth

Number Correct: Improvement:

Round to the nearest tenth. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22.

0.19 ≈ 0.39 ≈

23. 24.

0.21 ≈

25.

0.44 ≈

27.

0.51 ≈ 0.448 ≈

26.

28.

0.662 ≈

29.

0.257 ≈

31.

0.762 ≈

30.

0.457 ≈

32.

1.32 ≈

34.

0.957 ≈

33.

1.34 ≈

35.

2.56 ≈

37.

2.58 ≈

36.

5.16 ≈

38.

2.728 ≈

40.

3.936 ≈

42.

3.955 ≈

44.

5.162 ≈ 2.745 ≈ 3.991 ≈

106

EM2_0505SE_B_L13_fluency_removable_sprint_round_to_the_nearest_tenth.indd 106

39.

41.

43.

1.281 ≈

31.218 ≈ 2.709 ≈

42.790 ≈ 6.048 ≈

56.408 ≈ 8.007 ≈

68.070 ≈ 4.505 ≈

40.055 ≈ 50.016 ≈ 0.17 ≈ 0.71 ≈

60.552 ≈

160.525 ≈ 70.988 ≈

270.998 ≈ 95.947 ≈

295.974 ≈ 349.950 ≈ 499.905 ≈ 999.959 ≈

12/4/2021 3:48:16 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TB ▸ Lesson 13

Date

1. Each square in the tetromino shown has a side length of 1  _1 inches. What is the area of the tetromino?

EM2_0505SE_B_L13_classwork.indd 107

107

12/3/2021 4:30:51 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 13

2. The rectangle shown is composed of 3 tetrominoes. Each tetromino is composed of squares with side lengths of 2  _1 centimeters. What is the area of the rectangle? 4

108

LESSON

EM2_0505SE_B_L13_classwork.indd 108

12/3/2021 4:30:52 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 13

3. Use the large square shown to complete parts (a)–(d). a. Every tetromino in the shaded region has the following shape. Each small square in the tetromino has a side length of

1  _1 inches. The area of this tetromino was determined in 2

problem 1. What is the area of this tetromino?

b. What is the total area of the shaded region inside the large square?

c. What is the area of the unshaded square in the middle of the large square?

EM2_0505SE_B_L13_classwork.indd 109

LESSON

109

12/3/2021 4:30:52 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 13

d. What is the total area of the unshaded regions inside the large square?

110

LESSON

EM2_0505SE_B_L13_classwork.indd 110

12/3/2021 4:30:52 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TB ▸ Lesson 13

Date

1. A tetromino is a figure composed of 4 squares.

a. Draw lines in each figure to show the 4 squares that compose the tetromino.

b. The side length of each square that composes each tetromino is 2 _1 centimeters. What is the area of each square?

c. What is the area of one tetromino?

EM2_0505SE_B_L13_problem_set.indd 111

111

12/3/2021 4:29:00 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 13

side lengths of 1 _1 inches. What is the area of the rectangle?

2. The rectangle shown is composed of 3 tetrominoes. Each tetromino is composed of squares with 2

with side lengths of 2 _1 centimeters. What is the total area of the unshaded regions inside the

3. The large square contains 4 shaded tetrominoes. Each tetromino is composed of 4 small squares large square?

112

PROBLEM SET

EM2_0505SE_B_L13_problem_set.indd 112

12/3/2021 4:29:01 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TB ▸ Lesson 13

Date

The figure shown is composed of 5 squares with side lengths of 2  _1 inches. What is the area 2 of the figure?

EM2_0505SE_B_L13_exit_ticket.indd 113

113

12/3/2021 4:30:30 PM

EM2_0505SE_B_L13_exit_ticket.indd 114

12/3/2021 4:30:30 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 14 ▸ Rounding Cards Set 1

0.53

0.55

1.85

3.63

6.24

9.47

9.99

7.06

5.02

8.80

4.40

24.57

EM2_0505SE_B_L14_removable_fluency_rounding_cards_Set_1.indd 115

115

12/3/2021 6:10:54 PM

EM2_0505SE_B_L14_removable_fluency_rounding_cards_Set_1.indd 116

12/3/2021 6:10:54 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 14 ▸ Rounding Cards Set 1

81.51

73.99

55.55

87.18

96.03

30.45

70.90

50.30

60.08

EM2_0505SE_B_L14_removable_fluency_rounding_cards_Set_1.indd 117

117

12/3/2021 6:10:54 PM

EM2_0505SE_B_L14_removable_fluency_rounding_cards_Set_1.indd 118

12/3/2021 6:10:54 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 14

Name

Date

Use the Read–Draw–Write process to solve the problem. 1. The drawing represents the vegetable garden behind the house. The owner of the house plans to cover the garden with a layer of compost. If compost costs $2 for each square foot, how much will it cost to cover the garden with compost? 1

8 2 ft 1

Garden

9 2 ft

5 ft 6 ft

3 2 ft

EM2_0505SE_B_L14_classwork.indd 119

119

12/3/2021 4:28:38 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 14

2. Given the following information, how many square feet of rolled flooring does the owner need? •

The floor of the bedroom, the bathroom, and the garage will not be covered with rolled flooring.

•

The rest of the house will be covered with rolled flooring.

•

The island in the kitchen measures 3 feet by 7 feet. Flooring will not be put under the island.

20 ft 12 1 ft

8 1 ft 2

Island

Living Room and Kitchen

Bedroom

16 1 ft

12 ft

120

LESSON

EM2_0505SE_B_L14_classwork.indd 120

6 1 ft

Bath

24 ft Garden

Driveway

Garage

11 3 ft 4

12/3/2021 4:28:38 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 14

Name

Date

1. Each expression represents the area of a figure. Draw a line to match the figure to the expression it is partitioned to represent. Figure

Expression

1 2

4 cm 5 cm 8 cm

4 cm 3 cm

(8 1_ × 3) + (5 × 4 1_) 2

1 2

8 cm

1 2

4 cm 5 cm 8 cm

4 cm 3 cm

(8 × 8 1_) − (5 × 4) 2

1 2

8 cm

1 2

4 cm 5 cm 8 cm 4 cm

3 cm

(4 1_ × 8) + (4 × 3) 2

1 2

8 cm

EM2_0505SE_B_L14_problem_set.indd 121

121

12/3/2021 4:33:37 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 14

2. Sana is building a dollhouse. The picture shows her plan for the living room floor. Find the area of the floor by using a method of your choice. Dollhouse Living Room

3 in 1 2

1 in

6 in

1 2

4 in

1 2

3 in

1 2

9 in

122

PROBLEM SET

EM2_0505SE_B_L14_problem_set.indd 122

12/3/2021 4:33:37 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 14

3. The drawing shows the site plan of a backyard. Riley wants to lay stones for the patio, which is represented by the shaded area.

Yard

15 ft

9 ft

1 2

4 ft

1 2

11 ft

Patio 1 2

10 ft

House

a. What is the area of the patio?

b. The patio stones are squares with a side length of 1 _   1 feet. Find the area of one stone. 2

c. Riley purchases exactly 80 patio stones. Does Riley have enough stones to cover the patio? How do you know?

EM2_0505SE_B_L14_problem_set.indd 123

PROBLEM SET

123

12/3/2021 4:33:37 PM

EM2_0505SE_B_L14_problem_set.indd 124

12/3/2021 4:33:37 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 14

Name

Date

How many square feet of tile are needed to cover the floor shown?

4 ft

2 3 ft 1

3 4 ft

4 3 ft

2 ft 1

7 4 ft

EM2_0505SE_B_L14_exit_ticket.indd 125

125

12/3/2021 4:28:15 PM

EM2_0505SE_B_L14_exit_ticket.indd 126

12/3/2021 4:28:15 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 15 ▸ Rounding Cards Set 2

0.581

0.524

0.575

0.509

2.785

4.396

7.713

8.438

3.029

5.901

9.860 63.572

EM2_0505SE_B_L15_removable_fluency_rounding_cards_Set_2.indd 127

127

12/3/2021 4:38:42 PM

EM2_0505SE_B_L15_removable_fluency_rounding_cards_Set_2.indd 128

12/3/2021 4:38:42 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 15 ▸ Rounding Cards Set 2

45.561 55.555 71.999 39.999 97.024 97.024 20.485 80.007 50.103

EM2_0505SE_B_L15_removable_fluency_rounding_cards_Set_2.indd 129

129

12/3/2021 4:38:42 PM

EM2_0505SE_B_L15_removable_fluency_rounding_cards_Set_2.indd 130

12/3/2021 4:38:42 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TB ▸ Lesson 15

Date

Use the Read–Draw–Write process to complete the problem at each station. Estimate before you solve the problem. Record your work for each station in the table. Station 2

Station 1

EM2_0505SE_B_L15_classwork.indd 131

131

12/3/2021 4:26:30 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 15

Station 3

132

LESSON

EM2_0505SE_B_L15_classwork.indd 132

Station 4

12/3/2021 4:26:30 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 15

Name

Date

Use the Read–Draw–Write process to solve each problem.

1. Leo walked 2 miles on Friday. He walked 3 _1 times as far on Saturday as he did on Friday. 4

a. Estimate the distance Leo walked on Saturday.

b. Determine the actual distance Leo walked on Saturday.

2. Noah uses 36 tiles to cover a table. Each tile measures 4  _1 inches by 4  _1 inches. 4

a. Estimate the area of the table.

b. Find the actual area of the table.

EM2_0505SE_B_L15_problem_set.indd 133

133

12/3/2021 3:55:35 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TB ▸ Lesson 15

2 23 miles, bikes a distance of 12  _ 3. In a sprint triathlon, a participant swims a distance of __ miles, 50

1 and runs a distance of 3  __ miles. Ryan participated in 4 sprint triathlons this year.

a. How many total miles did Ryan swim in the 4 sprint triathlons?

b. How many total miles did Ryan swim, bike, and run in all 4 triathlons?

c. Ryan completed his first sprint triathlon in 2  _1 hours and completed his second sprint 4

triathlon in 1  _3 hours. How much faster was Ryan’s second triathlon than his first triathlon? 4

134

PROBLEM SET

EM2_0505SE_B_L15_problem_set.indd 134

12/3/2021 3:55:35 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TB ▸ Lesson 15

Date

Use the Read–Draw–Write process to solve the problem.

One batch of recipe A uses 1  _3 cups of milk. One batch of recipe B uses 4  _3 cups of milk. Noah makes 4

4  _1 batches of recipe A and 2 batches of recipe B. How much milk does Noah use? 2

EM2_0505SE_B_L15_exit_ticket.indd 135

135

12/3/2021 3:57:01 PM

EM2_0505SE_B_L15_exit_ticket.indd 136

12/3/2021 3:57:01 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 16 ▸ Decimal Number Cards Set 1

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

EM2_0505SE_C_L16_fluency_removable_decimal_number_cards_set_1.indd 137

137

12/4/2021 3:50:11 PM

EM2_0505SE_C_L16_fluency_removable_decimal_number_cards_set_1.indd 138

12/4/2021 3:50:11 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 16 ▸ Decimal Number Cards Set 1

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

EM2_0505SE_C_L16_fluency_removable_decimal_number_cards_set_1.indd 139

139

12/4/2021 3:50:11 PM

EM2_0505SE_C_L16_fluency_removable_decimal_number_cards_set_1.indd 140

12/4/2021 3:50:11 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 16 ▸ Hidden Addends Mat

EM2_0505SE_C_L16_fluency_removable_hidden_addends_mat.indd 141

141

12/4/2021 3:51:17 PM

EM2_0505SE_C_L16_fluency_removable_hidden_addends_mat.indd 142

12/4/2021 3:51:17 PM

EUREKA MATH2 Tennessee Edition

EM2_0505SE_C_L16_removable_right_rectangular_prism.indd 143

5 ▸ M5 ▸ TC ▸ Lesson 16 ▸ Right Rectangular Prism

143

12/4/2021 3:52:34 PM

EM2_0505SE_C_L16_removable_right_rectangular_prism.indd 144

12/4/2021 3:52:34 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 16

Name

Date

1. Label the length, width, and height of the right rectangular prism.

2. Highlight the edges and label the vertices of the right rectangular prism with a V.

Vertex

Face

EM2_0505SE_C_L16_classwork.indd 145

Edge

145

12/3/2021 5:58:42 PM

EM2_0505SE_C_L16_classwork.indd 146

12/3/2021 5:58:42 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TC ▸ Lesson 16

Date

1. Consider the figures.

a. Use red to color all two-dimensional figures. b. Circle all three-dimensional figures.

EM2_0505SE_C_L16_problem_set.indd 147

147

12/3/2021 4:45:35 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 16

2. Circle the two right rectangular prisms that are identical.

4 in

3 in 3 in

12 in 12 in

3 in

2 in 3 in

12 in 10 in

148

PROBLEM SET

EM2_0505SE_C_L16_problem_set.indd 148

4 in

12/3/2021 4:45:35 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 16

3. Consider the rectangle and the right rectangular prism.

Fill in the blanks. a. A rectangle has

sides.

b. A rectangle has

vertices.

c. A right rectangular prism has

faces.

d. A right rectangular prism has

edges.

e. A right rectangular prism has

vertices.

EM2_0505SE_C_L16_problem_set.indd 149

PROBLEM SET

149

12/3/2021 4:45:36 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 16

Consider how the length, width, and height are labeled on the right rectangular prism.

5 in

Height

4 in

Length

3 in

Width

Find the length, width, and height of the prisms in problems 4–7. 4.

2 in Length:

Length:

Width:

Height:

150

Length:

Width:

Height:

PROBLEM SET

EM2_0505SE_C_L16_problem_set.indd 150

12/3/2021 4:45:37 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 16

Name

Date

Indicate whether each statement is true or false. If the statement is false, correct the statement. Statement

True or False

A three-dimensional figure is flat.

True

False

A three-dimensional figure has length, width, and height.

True

False

A three-dimensional figure does not lie in a plane.

True

False

All right rectangular prisms have 4 faces.

True

False

All right rectangular prisms have 12 edges.

True

False

All right rectangular prisms have 6 vertices.

True

False

EM2_0505SE_C_L16_exit_ticket.indd 151

Correct Statement

151

12/3/2021 3:54:52 PM

EM2_0505SE_C_L16_exit_ticket.indd 152

12/3/2021 3:54:52 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 17 ▸ Decimal Number Cards Set 2

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

EM2_0505SE_C_L17_fluency_removable_decimal_number_cards_set_2.indd 153

153

12/4/2021 3:55:13 PM

EM2_0505SE_C_L17_fluency_removable_decimal_number_cards_set_2.indd 154

12/4/2021 3:55:13 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 17 ▸ Decimal Number Cards Set 2

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

EM2_0505SE_C_L17_fluency_removable_decimal_number_cards_set_2.indd 155

155

12/4/2021 3:55:13 PM

EM2_0505SE_C_L17_fluency_removable_decimal_number_cards_set_2.indd 156

12/4/2021 3:55:13 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 17 ▸ Decimal Number Cards Set 2

0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09

EM2_0505SE_C_L17_fluency_removable_decimal_number_cards_set_2.indd 157

157

12/4/2021 3:55:13 PM

EM2_0505SE_C_L17_fluency_removable_decimal_number_cards_set_2.indd 158

12/4/2021 3:55:13 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 17 ▸ Decimal Number Cards Set 2

0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09

EM2_0505SE_C_L17_fluency_removable_decimal_number_cards_set_2.indd 159

159

12/4/2021 3:55:13 PM

EM2_0505SE_C_L17_fluency_removable_decimal_number_cards_set_2.indd 160

12/4/2021 3:55:13 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 17 ▸ Decimal Number Cards Set 2

EM2_0505SE_C_L17_fluency_removable_decimal_number_cards_set_2.indd 161

161

12/4/2021 3:55:13 PM

EM2_0505SE_C_L17_fluency_removable_decimal_number_cards_set_2.indd 162

12/4/2021 3:55:13 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 17 ▸ Hidden Addends Mat

EM2_0505SE_C_L17_fluency_removable_hidden_addends_mat.indd 163

163

12/21/2021 11:44:39 AM

EM2_0505SE_C_L17_fluency_removable_hidden_addends_mat.indd 164

12/4/2021 3:56:15 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 17

Name

Date

1. Sketch to show the number of unit cubes visible on the faces of the right rectangular prism. In the blank, write the total number of unit cubes it takes to pack the prism.

Number of unit cubes:

2. Sketch to show the number of centimeter cubes visible on the faces of the right rectangular prism. Then complete the table.

Length (centimeters)

EM2_0505SE_C_L17_classwork.indd 165

Width (centimeters)

Height (centimeters)

Volume (cubic centimeters)

165

12/3/2021 3:46:27 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 17

3. Complete the table for each right rectangular prism. Right Rectangular Prism

166

LESSON

EM2_0505SE_C_L17_classwork.indd 166

Length (centimeters)

Width (centimeters)

Height Volume (centimeters) (cubic centimeters)

12/3/2021 3:46:27 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 17

Name

Date

For problems 1–3, fill in the blanks. 1. A unit cube takes up 2. A

cubic unit of space.

cube takes up 1 cubic centimeter of space.

3. An inch cube takes up 1 cubic

of space.

For problems 4–7, circle the measurement with the greater volume. 4. 1 cubic foot or 1 cubic inch

5. 1 cubic inch or 1 cubic centimeter

6. 1 cubic centimeter or 1 cubic foot

7. 1 cubic foot or 13 cubic inches

8. Sana says a right rectangular prism with a volume of 10 cubic inches takes up the same amount of space as a right rectangular prism with a volume of 10 cubic centimeters because both volumes are 10 cubic units. Do you agree or disagree with Sana? Why?

EM2_0505SE_C_L17_problem_set.indd 167

167

12/3/2021 3:44:53 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 17

9. The picture represents a right rectangular prism packed with centimeter cubes. Use the prism to complete parts (a) and (b).

a. How many centimeter cubes are packed in the right rectangular prism? b. Complete the table.

Length (centimeters)

Width (centimeters)

Height (centimeters)

Volume (cubic centimeters)

10. A right rectangular prism is 4 units long, 3 units wide, and 3 units tall. It is packed with unit cubes. a. Sketch to show the number of unit cubes visible on the faces of the right rectangular prism.

b. How many unit cubes does it take to pack the prism?

168

PROBLEM SET

EM2_0505SE_C_L17_problem_set.indd 168

12/3/2021 3:44:54 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 17

11. Use right rectangular prism A and right rectangular prism B to complete parts (a)–(c). Right Rectangular Prism A

Right Rectangular Prism B

3 in 4 in

6 in

2 in

2 in 2 in

a. What is the volume of right rectangular prism A?

b. What is the volume of right rectangular prism B ?

c. Which prism takes up more space? How do you know ?

12. Use the right rectangular prism shown to determine whether the statements are true or false. Statement

True

False

Doubling the length of the prism doubles the prism’s volume. Doubling the width of the prism halves the prism’s volume. Tripling the height of the prism triples the prism’s volume.

EM2_0505SE_C_L17_problem_set.indd 169

PROBLEM SET

169

12/3/2021 3:44:54 PM

EM2_0505SE_C_L17_problem_set.indd 170

12/3/2021 3:44:54 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 17

Name

Date

Tara draws to represent a right rectangular prism packed with centimeter cubes. Use the prism to complete parts (a)–(c). a. How many centimeter cubes are packed in the right rectangular prism?

b. Complete the table.

Length (centimeters)

Width (centimeters)

Height (centimeters)

Volume (cubic centimeters)

c. Blake’s right rectangular prism has the dimensions shown.

4 ft

2 ft

3 ft

Blake says his right rectangular prism has the same volume as Tara’s right rectangular prism. Is Blake correct? Explain your thinking.

EM2_0505SE_C_L17_exit_ticket.indd 171

171

12/3/2021 3:46:04 PM

EM2_0505SE_C_L17_exit_ticket.indd 172

12/3/2021 3:46:04 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 18 ▸ Box 1

Box 1

EM2_0505SE_C_L18_removable_box_1.indd 173

173

12/4/2021 4:01:22 PM

EM2_0505SE_C_L18_removable_box_1.indd 174

12/4/2021 4:01:22 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 18 ▸ Box 2

Box 2

EM2_0505SE_C_L18_removable_box_2.indd 175

175

12/15/2021 6:02:24 PM

EM2_0505SE_C_L18_removable_box_2.indd 176

12/3/2021 3:41:09 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TC ▸ Lesson 18

Date

1. A right rectangular prism is 3 units long, 1 unit wide, and 1 unit tall. a. Draw the prism.

b. What is the volume of the prism?

c. Estimate how many prisms like the ones from part (a) it takes to build a right rectangular prism that is the same size as box 1.

d. Use right rectangular prisms that are 3 units long, 1 unit wide, and 1 unit tall to build a right rectangular prism that is the same size as box 1. Explain or draw lines on the right rectangular prism to show how you arranged the prisms.

EM2_0505SE_C_L18_classwork.indd 177

177

12/3/2021 3:42:42 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 18

e. How many prisms did you use to build a right rectangular prism that is the same size as box 1?

What is the volume of box 1? Explain.

2. A right rectangular prism is 3 units long, 2 units wide, and 2 units tall. a. Draw the prism.

b. What is the volume of the prism?

c. Erase the interior lines that show individual cubes, leaving only the edges of the prism in part (a). Estimate how many prisms it takes to build a right rectangular prism that is the same size as box 2.

178

LESSON

EM2_0505SE_C_L18_classwork.indd 178

12/3/2021 3:42:42 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 18

d. Use right rectangular prisms that are 3 units long, 2 units wide, and 2 units tall to build a right rectangular prism that is the same size as box 2. Explain or draw lines on the right rectangular prism to show how you arranged the prisms.

e. How many prisms did you use to build a right rectangular prism that is the same size as box 2?

What is the volume of box 2? Explain.

EM2_0505SE_C_L18_classwork.indd 179

LESSON

179

12/3/2021 3:42:42 PM

EM2_0505SE_C_L18_classwork.indd 180

12/3/2021 3:42:42 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TC ▸ Lesson 18

Date

1. Use the right rectangular prism to complete parts (a)–(f).

a. Sketch lines on the prism to show that it is 5 units long, 1 unit wide, and 1 unit tall. b. What is the volume of the prism?

c. Several prisms like the one from part (a) are used to build a larger right rectangular prism. There are 7 stacks of 4 prisms as shown. Fill in the blanks for the unknown measurements.

d. How many prisms are used to build the larger right rectangular prism?

EM2_0505SE_C_L18_problem_set.indd 181

181

12/3/2021 3:42:04 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 18

e. What is the volume of the larger right rectangular prism?

The prisms like the one from part (a) are arranged in a different way to build another right rectangular prism. There are two groups. One group has 5 stacks of 4 prisms and the other group has 2 stacks of 4 prisms.

Toby says that because this right rectangular prism is built differently, the volume is different from the volume found in part (e). Is Toby correct? Justify your answer.

182

PROBLEM SET

EM2_0505SE_C_L18_problem_set.indd 182

12/3/2021 3:42:04 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 18

2. A right rectangular prism is 5 units long, 3 units wide, and 2 units tall. a. Sketch the prism.

b. Fill in the blanks. The prism has the same length as the prism from problem 1(a), but the width is as wide and the height is

times

times as high.

c. What is the volume of the prism?

3. 12 prisms that are 5 units by 3 units by 2 units are used to build a large right rectangular prism. What is the volume of the large right rectangular prism?

EM2_0505SE_C_L18_problem_set.indd 183

PROBLEM SET

183

12/3/2021 3:42:04 PM

EM2_0505SE_C_L18_problem_set.indd 184

12/3/2021 3:42:04 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TC ▸ Lesson 18

Date

A right rectangular prism is 4 units long, 1 unit wide, and 1 unit tall.

a. What is the volume of the prism?

b. Prisms like the one from part (a) are packed in a box that is 4 units long, 2 units wide, and 3 units tall. How many prisms are packed in the box?

c. What is the volume of the box?

EM2_0505SE_C_L18_exit_ticket.indd 185

185

12/3/2021 3:42:22 PM

EM2_0505SE_C_L18_exit_ticket.indd 186

12/3/2021 3:42:22 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 19

Name

Date

1. Use 24 cubes to create a right rectangular prism. Create a prism that is different from the one created in class. a. Describe the layers in the right rectangular prism you created.

b. What is the volume of the prism? How do you know?

2. The right rectangular prism shown is composed of centimeter cubes. a. Draw lines on the prisms to show how to decompose the prism into layers in three different ways.

b. Use your work from part (a) to complete the table. Number of Layers

EM2_0505SE_C_L19_classwork.indd 187

Number of Cubes in Each Layer

Volume (cubic centimeters)

187

12/3/2021 3:39:53 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 19

3. The right rectangular prism shown is 4 centimeters wide, 6 centimeters long, and 3 centimeters tall.

3 cm

6 cm

4 cm

a. Draw lines to show how to decompose the prism into layers. b. Use the layers you created in part (a) to complete the following sentences. The prism has

layers.

Each layer has

cubic centimeters.

The volume of this prism is

188

LESSON

EM2_0505SE_C_L19_classwork.indd 188

cubic centimeters.

12/3/2021 3:39:53 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TC ▸ Lesson 19

Date

Right Rectangular Prism

EM2_0505SE_C_L19_problem_set.indd 189

Horizontal Layer

189

12/3/2021 3:38:56 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 19

2. Use the picture of the horizontal layer and the right rectangular prism to complete the table. Each cube represents 1 cubic unit.

Number of Layers

Number of Cubes in Each Layer

Volume (cubic units)

1 6

190

PROBLEM SET

EM2_0505SE_C_L19_problem_set.indd 190

12/3/2021 3:38:56 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 19

3. Three pictures of the same right rectangular prism are shown. Each cube represents 1 cubic centimeter. a. Draw lines to decompose the prism into layers in three different ways.

b. Use the different ways you decomposed the right rectangular prism in part (a) to complete the table. Number of Layers

EM2_0505SE_C_L19_problem_set.indd 191

Number of Cubes in Each Layer

Volume (cubic centimeters)

PROBLEM SET

191

12/3/2021 3:38:59 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 19

4. The right rectangular prism shown is 2 centimeters wide, 5 centimeters long, and 3 centimeters tall. Use the prism to complete parts (a) and (b).

3 cm 2 cm 5 cm a. Draw lines to decompose the prism into layers. b. Use the layers you created in part (a) to complete the following sentences. The prism has

layers.

Each layer has

cubic centimeters.

The volume of this prism is

192

PROBLEM SET

EM2_0505SE_C_L19_problem_set.indd 192

cubic centimeters.

12/3/2021 3:38:59 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 19

Name

Date

The right rectangular prism shown is composed of centimeter cubes.

a. Draw lines to decompose the prism into layers. b. Use the layers you created in part (a) to complete the following sentences. The prism has There are

layers. centimeter cubes in each layer.

The volume of the prism is

cubic centimeters.

c. How does decomposing a prism into layers help you find the volume?

EM2_0505SE_C_L19_exit_ticket.indd 193

193

12/3/2021 3:39:24 PM

EM2_0505SE_C_L19_exit_ticket.indd 194

12/3/2021 3:39:24 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 20 ▸ Equivalent Expressions Cards Set 1

_1   − _1   6

_2  − _1  

_2  − _1   6

_4  − _1  

_2   + _1  

_4  + _1  

4 © Great Minds PBC •

EM2_0505SE_C_L20_removable_fluency_equivalent_expressions_cards_set_1.indd 195

195

12/4/2021 4:03:10 PM

EM2_0505SE_C_L20_removable_fluency_equivalent_expressions_cards_set_1.indd 196

12/4/2021 4:03:10 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 20 ▸ Equivalent Expressions Cards Set 1

_ _

3 1 4  + 8 

6 1 8  + 8  

_1   + _1   2

5 2 __ __     +    

_2   + _1  

5 4 __ __     +    

5 © Great Minds PBC •

EM2_0505SE_C_L20_removable_fluency_equivalent_expressions_cards_set_1.indd 197

197

12/4/2021 4:03:10 PM

EM2_0505SE_C_L20_removable_fluency_equivalent_expressions_cards_set_1.indd 198

12/4/2021 4:03:10 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 20 ▸ Equivalent Expressions Cards Set 1

_1   + 6_  

__ __    

_4  − _1  

= © Great Minds PBC •

EM2_0505SE_C_L20_removable_fluency_equivalent_expressions_cards_set_1.indd 199

  = 199

12/4/2021 4:03:10 PM

EM2_0505SE_C_L20_removable_fluency_equivalent_expressions_cards_set_1.indd 200

12/4/2021 4:03:10 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 20 ▸ Equivalent Expressions Cards Set 1

EM2_0505SE_C_L20_removable_fluency_equivalent_expressions_cards_set_1.indd 201

201

12/4/2021 4:03:10 PM

EM2_0505SE_C_L20_removable_fluency_equivalent_expressions_cards_set_1.indd 202

12/4/2021 4:03:10 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TC ▸ Lesson 20

Date

1. Blake measures the volume of a right rectangular prism. a. What does it mean to measure the volume of an object?

b. Blake has marbles, rice, and water. Which should Blake use to fill the right rectangular prism completely? Explain.

2. Kayla measures the volume of the pretzels shown.

Is the volume of the jar the same as the volume of the pretzels? Explain.

EM2_0505SE_C_L20_exit_ticket.indd 203

203

12/3/2021 3:38:34 PM

EM2_0505SE_C_L20_exit_ticket.indd 204

12/3/2021 3:38:34 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 21 ▸ Equivalent Expression Cards Set 2

1_ 2_ 1 3  + 3 9 

3_ 2_ 1 9  + 3 9 

2_ 2_ 13  + 3 9 

6_ 2_ 19  + 3 9 

1_ 1_ 2 2  − 1  8 

4_ 1_ 2 8  − 1  8 

3_ 1_ 2 2  − 1  8 

3_ 4_ 2 8  − 1  8 

EM2_0505SE_C_L21_removable_fluency_equivalent_expressions_cards_set_2.indd 205

205

12/6/2021 9:41:34 AM

EM2_0505SE_C_L21_removable_fluency_equivalent_expressions_cards_set_2.indd 206

12/6/2021 9:41:34 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 21 ▸ Equivalent Expression Cards Set 2

3 2_ _ 7 3  + 5 4 

9 8 __ __ 7    + 5    

3_ 1_ 7  4  + 5  6 

9 2 __ __ 7    + 5    

4_ 1_ 28  − 1  2 

__ __   −  

3_ 9 __ 7 4  + 5  12 

__ __   +  

EM2_0505SE_C_L21_removable_fluency_equivalent_expressions_cards_set_2.indd 207

207

12/6/2021 9:41:34 AM

EM2_0505SE_C_L21_removable_fluency_equivalent_expressions_cards_set_2.indd 208

12/6/2021 9:41:34 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 21 ▸ Equivalent Expression Cards Set 2

EM2_0505SE_C_L21_removable_fluency_equivalent_expressions_cards_set_2.indd 209

209

12/6/2021 9:41:34 AM

EM2_0505SE_C_L21_removable_fluency_equivalent_expressions_cards_set_2.indd 210

12/6/2021 9:41:34 AM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 21

Name

Date

1. Tyler plans to pour the water from the graduated cylinder into the container shaped like a right rectangular prism.

10 mL

3 cm

1 cm

a. Draw lines on the container to decompose it into layers. b. Determine the volume of the container.

c. Can Tyler pour all the water from the graduated cylinder into the container? Explain.

EM2_0505SE_C_L21_classwork.indd 211

211

12/3/2021 3:37:59 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 21

2. A company advertises that its glass vase, which is shaped like a right rectangular prism, holds 2 liters of water. The base of the inside of the vase is a square. A side of the base measures 8 centimeters. a. Decompose the vase into layers to find its volume. Volume of 1 layer: 30 cm

Volume of the vase:

8 cm

b. What is the volume of the vase in milliliters?

c. What is the volume of the vase in liters?

d. Is the company’s advertisement correct? Explain.

212

LESSON

EM2_0505SE_C_L21_classwork.indd 212

12/3/2021 3:37:59 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TC ▸ Lesson 21

Date

Use the right rectangular prisms to complete the statements.

1. The right rectangular prism is made of centimeter cubes. A container shaped like this right rectangular prism can hold exactly mL of water.

EM2_0505SE_C_L21_problem_set.indd 213

2. The right rectangular prism is made of centimeter cubes. A container shaped like this right rectangular prism can hold exactly mL of water.

213

12/3/2021 3:37:19 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 21

3. The right rectangular prisms shown are made of centimeter cubes. Draw a line to match each right rectangular prism with the amount of water in milliliters a container shaped like the prism can hold. Right Rectangular Prism

Amount of Water

8 mL

24 mL

27 mL

214

PROBLEM SET

EM2_0505SE_C_L21_problem_set.indd 214

12/3/2021 3:37:20 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 21

4. How many milliliters of juice fit in the juice box?

8 cm

4 cm

6 cm

5. Jada has a fish tank that is the shape of a right rectangular prism. The length, width, and height of the fish tank are shown.

30 cm

20 cm 40 cm Jada’s fish tank can hold

cubic centimeters of water.

Jada’s fish tank can hold

milliliters of water.

Jada’s fish tank can hold

liters of water.

EM2_0505SE_C_L21_problem_set.indd 215

PROBLEM SET

215

12/3/2021 3:37:20 PM

EM2_0505SE_C_L21_problem_set.indd 216

12/3/2021 3:37:20 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TC ▸ Lesson 21

Name

Date

Eddie’s juice box is shaped like a right rectangular prism as shown.

11 cm

6 cm

4 cm

a. Decompose the prism into layers to find its volume in cubic centimeters.

b. What is the volume of Eddie’s juice box in milliliters?

c. How are cubic centimeters and milliliters related?

EM2_0505SE_C_L21_exit_ticket.indd 217

217

12/3/2021 3:37:41 PM

EM2_0505SE_C_L21_exit_ticket.indd 218

12/3/2021 3:37:41 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 22 ▸ Decimal Number Cards

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

EM2_0505SE_D_L22_fluency_removable_decimal_number_cards.indd 219

219

12/4/2021 3:59:03 PM

EM2_0505SE_D_L22_fluency_removable_decimal_number_cards.indd 220

12/4/2021 3:59:03 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 22 ▸ Decimal Number Cards

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

EM2_0505SE_D_L22_fluency_removable_decimal_number_cards.indd 221

221

12/4/2021 3:59:03 PM

EM2_0505SE_D_L22_fluency_removable_decimal_number_cards.indd 222

12/4/2021 3:59:03 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 22 ▸ Hidden Factors Mat

EM2_0505SE_D_L22_fluency_removable_hidden_factors_mat.indd 223

223

12/3/2021 3:28:57 PM

EM2_0505SE_D_L22_fluency_removable_hidden_factors_mat.indd 224

12/3/2021 3:28:57 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TD ▸ Lesson 22

Date

1. The area of the base of a right rectangular prism is 28 square inches and the height is 6 inches. What is the volume of the right rectangular prism?

EM2_0505SE_D_L22_classwork.indd 225

225

12/3/2021 3:25:23 PM

EM2_0505SE_D_L22_classwork.indd 226

12/3/2021 3:25:23 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TD ▸ Lesson 22

Date

1. The right rectangular prisms shown are made of centimeter cubes. Circle the two right rectangular prisms that have the same volume.

EM2_0505SE_D_L22_problem_set.indd 227

227

12/3/2021 3:31:11 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 22

2. The right rectangular prism shown is made of centimeter cubes. Use the prism to complete parts (a)–(d).

a. The top layer is made of b. The area of the top face is c. The area of the base is

cubes. square centimeters. square centimeters.

d. The height of the right rectangular prism is

centimeters.

e. The volume of the right rectangular prism is

228

PROBLEM SET

EM2_0505SE_D_L22_problem_set.indd 228

cubic centimeters.

12/3/2021 3:31:12 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 22

Calculate the volume of the right rectangular prism. 3. The area of the base is 24 square inches and the height is 10 inches.

4. The area of the base is 48 square inches and the height is 5 inches.

5. The area of the base is 24 square centimeters 6. The area of the base is 24 square centimeters and the height is 4 centimeters. and the height is 8 centimeters.

EM2_0505SE_D_L22_problem_set.indd 229

PROBLEM SET

229

12/3/2021 3:31:12 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 22

Consider each right rectangular prism. 7. What is the area of the base if the volume is 126 cubic centimeters?

8. What is the height if the volume is 180 cubic inches and the area of the base is 45 square inches?

7 centimeters

230

PROBLEM SET

EM2_0505SE_D_L22_problem_set.indd 230

12/3/2021 3:31:12 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TD ▸ Lesson 22

Date

Calculate the volume of each right rectangular prism. 1. The area of the base is 18 square centimeters 2. The area of the base is 18 square centimeters and the height is 2 centimeters. and the height is 4 centimeters.

EM2_0505SE_D_L22_exit_ticket.indd 231

231

12/3/2021 3:24:53 PM

EM2_0505SE_D_L22_exit_ticket.indd 232

12/3/2021 3:24:53 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 23 ▸ Decimal Number Cards

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

EM2_0505SE_D_L23_fluency_removable_decimal_number_cards.indd 233

233

12/4/2021 4:06:30 PM

EM2_0505SE_D_L23_fluency_removable_decimal_number_cards.indd 234

12/4/2021 4:06:30 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 23 ▸ Decimal Number Cards

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

EM2_0505SE_D_L23_fluency_removable_decimal_number_cards.indd 235

235

12/4/2021 4:06:30 PM

EM2_0505SE_D_L23_fluency_removable_decimal_number_cards.indd 236

12/4/2021 4:06:30 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 23 ▸ Hidden Factors Mat

EM2_0505SE_D_L23_fluency_removable_hidden_factors_mat.indd 237

237

12/3/2021 3:33:24 PM

EM2_0505SE_D_L23_fluency_removable_hidden_factors_mat.indd 238

12/3/2021 3:33:24 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 23

Name

Date

1. Which right rectangular prism has the greater volume? Prism A

14 in

Prism B The area of the base is 20 square inches and the height is 12 inches.

3 in 6 in

2. Find the volume of the cube.

5 in

EM2_0505SE_D_L23_classwork.indd 239

239

12/3/2021 3:22:44 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 23

3. What is the height of the right rectangular prism?

h ft

5 ft

4 ft

The volume is 100 cubic feet.

240

LESSON

EM2_0505SE_D_L23_classwork.indd 240

12/3/2021 3:22:45 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TD ▸ Lesson 23

Date

1. A right rectangular prism with a length of 5 centimeters, a width of 3 centimeters, and a height of 6 centimeters and its composition are shown. Complete each multiplication expression to match the composition. a.

(5 × 3) ×

(

)×3

(

EM2_0505SE_D_L23_problem_set.indd 241

)×

241

12/3/2021 3:20:32 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 23

Find the volume of each right rectangular prism. 3.

3 cm 3 cm

3 cm

7 in 4 in 2 in

5 ft

4m 6m 10 ft

242

PROBLEM SET

EM2_0505SE_D_L23_problem_set.indd 242

3 ft

12/3/2021 3:20:33 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 23

6. Use the right rectangular prism shown to complete parts (a) and (b).

5 cm

5 cm l cm a. Fill in the blanks to complete the equation that represents the volume of the right rectangular prism.

200 =

b. What is the value of l?

EM2_0505SE_D_L23_problem_set.indd 243

PROBLEM SET

243

12/3/2021 3:20:33 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 23

Find the unknown edge length of each right rectangular prism. Show your work. 7.

5 cm w cm

h in

4 cm The volume is 140 cubic centimeters. 6 in 3 in

The volume is 90 cubic inches.

244

PROBLEM SET

EM2_0505SE_D_L23_problem_set.indd 244

12/3/2021 3:20:33 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 23

Name

Date

Find the volume of the right rectangular prism.

10 units

4 units 8 units

EM2_0505SE_D_L23_exit_ticket.indd 245

245

12/3/2021 3:26:39 PM

EM2_0505SE_D_L23_exit_ticket.indd 246

12/3/2021 3:26:39 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ Sprint ▸ Multiply with Decimals

Sprint Write the product. 1.

3×8=

0.3 × 0.8 =

0.3 × 0.08 =

EM2_0505SE_D_L24_removable_fluency_sprint_multiply_with_decimals.indd 247

247

12/4/2021 4:08:33 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ Sprint ▸ Multiply with Decimals

Number Correct:

Write the product. 1.

2×3=

23.

6×7=

0.2 × 0.3 =

24.

0.6 × 0.8 =

0.2 × 0.4 =

25.

0.6 × 0.09 =

3×4=

26.

7×7=

0.3 × 0.4 =

27.

0.7 × 0.8 =

0.3 × 0.5 =

28.

0.7 × 0.09 =

4×7=

29.

8×7=

0.4 × 0.7 =

30.

0.8 × 0.8 =

0.4 × 0.8 =

31.

0.8 × 0.09 =

10.

5×6=

32.

9×7=

11.

0.5 × 0.6 =

33.

0.9 × 0.8 =

12.

0.5 × 0.7 =

34.

0.9 × 0.09 =

13.

3×6=

35.

2×8=

14.

0.3 × 0.06 =

36.

2×9=

15.

0.3 × 0.07 =

37.

0.6 × 0.11 =

16.

4×8=

38.

0.12 × 0.6 =

17.

0.4 × 0.08 =

39.

0.7 × 0.11 =

18.

0.4 × 0.09 =

40.

0.12 × 0.7 =

19.

5×8=

41.

0.8 × 0.11 =

20.

0.5 × 0.08 =

42.

0.12 × 0.8 =

21.

0.5 × 0.09 =

43.

0.9 × 0.11 =

22.

0.09 × 0.5 =

44.

0.12 × 0.9 =

248

EM2_0505SE_D_L24_removable_fluency_sprint_multiply_with_decimals.indd 248

12/4/2021 4:08:33 PM

EM2_0505SE_D_L24_removable_fluency_sprint_multiply_with_decimals.indd 249

12/4/2021 4:08:33 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ Sprint ▸ Multiply with Decimals

Number Correct: Improvement:

Write the product. 1.

2×2=

23.

6×6=

0.2 × 0.2 =

24.

0.6 × 0.7 =

0.2 × 0.3 =

25.

0.6 × 0.08 =

3×3=

26.

7×6=

0.3 × 0.3 =

27.

0.7 × 0.7 =

0.3 × 0.4 =

28.

0.7 × 0.08 =

4×6=

29.

8×6=

0.4 × 0.6 =

30.

0.8 × 0.7 =

0.4 × 0.7 =

31.

0.8 × 0.08 =

10.

5×5=

32.

9×6=

11.

0.5 × 0.5 =

33.

0.9 × 0.7 =

12.

0.5 × 0.6 =

34.

0.9 × 0.08 =

13.

3×5=

35.

2×7=

14.

0.3 × 0.05 =

36.

2×8=

15.

0.3 × 0.06 =

37.

0.5 × 0.11 =

16.

4×7=

38.

0.12 × 0.5 =

17.

0.4 × 0.07 =

39.

0.6 × 0.11 =

18.

0.4 × 0.08 =

40.

0.12 × 0.6 =

19.

5×7=

41.

0.7 × 0.11 =

20.

0.5 × 0.07 =

42.

0.12 × 0.7 =

21.

0.5 × 0.08 =

43.

0.8 × 0.11 =

22.

0.08 × 0.5 =

44.

0.12 × 0.8 =

250

EM2_0505SE_D_L24_removable_fluency_sprint_multiply_with_decimals.indd 250

12/4/2021 4:08:34 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TD ▸ Lesson 24

Date

1. Kelly buys an aquarium that is shaped like a right rectangular prism. The aquarium is 20 centimeters long, 25 centimeters wide, and 30 centimeters tall on the inside. a. What is the volume of water, in cubic centimeters, that the aquarium can hold?

b. How many liters of water can the aquarium hold?

2. Kelly fills the aquarium with water to a height of 25 centimeters, as shown. How many more milliliters of water does Kelly need to pour into the aquarium to fill it to the top?

25 cm

EM2_0505SE_D_L24_classwork.indd 251

251

12/3/2021 3:19:32 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 24

3. Find the length, width, and height of at least two different right rectangular prisms that each have a volume of 30,000 cubic centimeters.

252

LESSON

EM2_0505SE_D_L24_classwork.indd 252

12/3/2021 3:19:32 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 24

4. To have enough space for his fish, Blake needs an aquarium that takes up at least 1,000 square centimeters of space. He buys an aquarium that is shaped like a right rectangular prism and is 40 centimeters long, 30 centimeters wide, and 25 centimeters tall. a. Does the aquarium take up at least 1,000 square centimeters of space? Show how you know.

b. Blake pours 24 liters of water into the aquarium. How many milliliters of water does he pour into the aquarium?

c. What is the height of the water in centimeters?

EM2_0505SE_D_L24_classwork.indd 253

LESSON

253

12/3/2021 3:19:32 PM

EM2_0505SE_D_L24_classwork.indd 254

12/3/2021 3:19:32 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 24

Name

Date

1. The juice box shown is in the shape of a right rectangular prism. Match each situation to the expression that represents it.

8 cm

4 cm

Situation The total volume of juice the juice box can hold The volume of juice the juice box

holds when it is 2 full The volume of juice the juice box

holds when it is 4 full

EM2_0505SE_D_L24_problem_set.indd 255

6 cm

Expression

6×4×4

6×4×2

6×4×8

255

12/3/2021 3:15:30 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 24

The right rectangular prism shown represents a fish tank. Use the prism to complete problems 2–6.

30 cm 20 cm 40 cm 2. What is the volume of the fish tank?

3. How many milliliters of water does the fish tank hold?

4. How many liters of water does the fish tank hold?

5. If the fish tank is only filled to a height of 22 centimeters, how many liters of water are in the fish tank?

6. How many more liters of water are needed to fill the fish tank when it is only filled to a height of 22 centimeters?

256

PROBLEM SET

EM2_0505SE_D_L24_problem_set.indd 256

12/3/2021 3:15:30 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 24

7. Adesh has a fish tank that is a right rectangular prism with a volume of 25,000 cubic centimeters. Write one possible length, width, and height for Adesh’s fish tank.

8. Find the length, width, and height of at least two different right rectangular prisms that each have a volume of 20,000 cubic centimeters.

EM2_0505SE_D_L24_problem_set.indd 257

PROBLEM SET

257

12/3/2021 3:15:30 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 24

9. Tara wants to place a small fish tank on a shelf in her room. The dimensions of the fish tank she wants are shown. Before she gets the fish tank, she wants to be sure it will be large enough for her fish.

35 cm

25 cm

20 cm

a. To be large enough for Tara’s fish, the tank must take up at least 400 square centimeters of flat space. Is this tank large enough for her fish? Show how you know.

b. Tara pours 15 liters of water into the fish tank. How many milliliters of water does she pour into the fish tank?

c. What is the height of the water in centimeters?

258

PROBLEM SET

EM2_0505SE_D_L24_problem_set.indd 258

12/3/2021 3:15:30 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TD ▸ Lesson 24

Date

1. A right rectangular prism has a volume of 450 cubic centimeters. What is one possible length, width, and height for the prism?

2. The inside of a fish tank that is shaped like a right rectangular prism is 20 centimeters long, 20 centimeters wide, and 25 centimeters tall. a. What is the volume of the inside of the tank in cubic centimeters?

b. How many liters of water does the tank hold?

EM2_0505SE_D_L24_exit_ticket.indd 259

259

12/3/2021 3:18:12 PM

EM2_0505SE_D_L24_exit_ticket.indd 260

12/3/2021 3:18:12 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TD ▸ Lesson 25

Date

1. The figure is composed of right rectangular prisms. Calculate its volume.

2m 2m 2m

2. The figure shown is composed of right rectangular prisms. a. Draw on the figure to decompose it into right rectangular prisms.

4m 3m

b. Find the volume of the figure.

EM2_0505SE_D_L25_classwork.indd 261

261

12/3/2021 3:12:52 PM

EM2_0505SE_D_L25_classwork.indd 262

12/3/2021 3:12:52 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TD ▸ Lesson 25

Date

1. Each solid figure shown is composed of centimeter cubes. Circle the figures with a volume of 8 cubic centimeters.

EM2_0505SE_D_L25_problem_set.indd 263

263

12/3/2021 3:08:46 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 25

2. Two right rectangular prisms are shown. Find the volume of each right rectangular prism.

4 cm

5 cm

2 cm 3 cm

2 cm 4 cm

3. The two right rectangular prisms from problem 2 are combined to make one solid figure. What is the volume of the figure?

4 cm 3 cm

5 cm 4 cm

2 cm 7 cm

264

PROBLEM SET

EM2_0505SE_D_L25_problem_set.indd 264

12/3/2021 3:08:47 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 25

The solid figures shown are composed of right rectangular prisms. Calculate the volume of each figure.

10 in

7 cm

8 cm

10 in 18 in 5 in

12 cm

4 cm

8 in

6 cm 15 in

EM2_0505SE_D_L25_problem_set.indd 265

2 cm

2 in

9 cm

PROBLEM SET

265

12/3/2021 3:08:47 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 25

3 ft

11 cm

4 cm

5 ft

3 cm

2 ft 6 ft 4 ft

6 cm

10 ft

266

PROBLEM SET

EM2_0505SE_D_L25_problem_set.indd 266

3 cm

8 cm 5 cm

12/3/2021 3:08:47 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TD ▸ Lesson 25

Date

The solid figure shown is composed of right rectangular prisms. What is the volume of the figure?

4 in 6 in 8 in 16 in

EM2_0505SE_D_L25_exit_ticket.indd 267

10 in

267

12/3/2021 3:11:38 PM

EM2_0505SE_D_L25_exit_ticket.indd 268

12/3/2021 3:11:38 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 26 ▸ Perimeter, Area, or Volume Cards

Painting a wall

Fencing a playground

Filling a pool

Building a garden box

Tiling a shower

Baking a cake

Carpeting a floor

Packing a suitcase

Decorating with rope lights

EM2_0505SE_D_L26_removable_perimeter_area_or_volume_cards.indd 269

269

12/4/2021 4:10:04 PM

EM2_0505SE_D_L26_removable_perimeter_area_or_volume_cards.indd 270

12/4/2021 4:10:04 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TD ▸ Lesson 26

Date

1. Consider building a garden box. The 6 sides of the garden box are built by using 6 wooden boards that are each 2 feet high. The two longest boards are each 12 feet long. The two shortest boards are each 4 feet long. a. What is the total length of wooden boards used to build the garden box?

b. How much of the patio does the garden box cover?

c. How much soil does it take to fill the box?

EM2_0505SE_D_L26_classwork.indd 271

271

12/3/2021 3:06:14 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 26

2. Consider decorating with rope lights. Tara decorates her room with rope lights by lining the ceiling and the edges of her mirror. Her

room is rectangular and measures 12   2  feet by 10   4  feet. Her mirror is rectangular and measures

4  _2  feet by 1 foot. How many feet of the rope lights does she use? 1

3. Consider fencing a playground. An elementary school needs new fencing to surround the playground. How many yards of fencing does the school need?

9 yd 6 yd

1 8 yd 2

1 4

2 yd

6 yd

1 2

8 yd

6 yd

272

LESSON

EM2_0505SE_D_L26_classwork.indd 272

3 yd 4

12/3/2021 3:06:15 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 26

4. Consider painting a room.

Ryan paints two walls in his room. One wall measures 10   2  feet by 8 feet. The other wall

measures 12   4  feet by 8 feet. How many square feet does Ryan paint?

5. Consider carpeting a floor. A family installs carpet in their living room. How many square yards of carpet do they use?

6 yd

1 yd 1 yd

1 2

7 yd

6 yd

7 yd

EM2_0505SE_D_L26_classwork.indd 273

LESSON

273

12/3/2021 3:06:15 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 26

6. Consider tiling a shower.

Two of the walls of a shower need to be tiled. One wall of the shower is 5   2  feet by 8 feet.

The other wall of the shower is 6   4  feet by 8 feet. The cost to tile the shower walls is $7.99 per square foot. What is the total cost to tile the shower walls?

7. Consider packing a suitcase. A suitcase is shaped like a right rectangular prism. The suitcase measures 76 centimeters by 48 centimeters by 29 centimeters. What is the volume of the suitcase?

274

LESSON

EM2_0505SE_D_L26_classwork.indd 274

12/3/2021 3:06:15 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 26

8. Consider filling a pool. Riley fills up her swimming pool. When the pool is full, the water is 6 feet deep. What is the volume of water in the pool?

16 ft 6 ft

25 ft 41 ft 8 ft

6 ft 16 ft

24 ft

EM2_0505SE_D_L26_classwork.indd 275

LESSON

275

12/3/2021 3:06:15 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 26

9. Consider baking a cake. Adesh bakes a cake with three layers that are each shaped like a right rectangular prism. The bottom layer measures 9 inches by 13 inches by 2 inches. The other two layers each measure 8 inches by 8 inches by 2 inches. What is the total volume of the cake?

276

LESSON

EM2_0505SE_D_L26_classwork.indd 276

12/3/2021 3:06:16 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 26

Name

Date

1. Miss Song is building a sandbox in her backyard. The measurements of the sandbox are shown.

3 ft 2 ft 4 ft 4 ft

6 ft

7 ft a. Miss Song uses one board per side. What is the total length of boards Miss Song uses to build the sides of the sandbox?

b. How much of the lawn does the sandbox cover?

  1 feet? c. How much sand does it take to fill the sandbox to a height of 1 _ 2

EM2_0505SE_D_L26_problem_set.indd 277

277

12/3/2021 4:54:33 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 26

2. A city is building a dog park. The measurements are shown.

8 ft

1 2

7 ft 1 2

10 ft

3 ft

2 ft

6 ft a. How much space will the dog park take up?

b. How many feet of fence are needed to surround the dog park?

278

PROBLEM SET

EM2_0505SE_D_L26_problem_set.indd 278

12/3/2021 4:54:34 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 26

3. A fishpond is being built around a corner of a building. The measurements are shown. What is the volume of the water in the pond when it is filled to the top? 1 2

2 ft

10 ft

1 2

2 ft 12 ft

2 ft

4. Some of the rain gutters on Eddie’s home are being replaced. The measurements of Eddie’s home where the gutters are being replaced are shown. How many feet of gutters are being replaced on Eddie’s home? 6 ft 4 ft 1 2

24 ft

30 ft

1 2

20 ft

EM2_0505SE_D_L26_problem_set.indd 279

PROBLEM SET

279

12/3/2021 4:54:34 PM

EM2_0505SE_D_L26_problem_set.indd 280

12/3/2021 4:54:34 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 26

Name

Date

A pool is shaped like an L as shown.

5 ft

4 ft 3 ft

8 ft

a. A dog walks around the border of the pool. How far does the dog walk?

b. The bottom of the pool is covered with tiles. How much space do the tiles cover?

c. Julie fills the pool with water. When the pool is full, the height of the water is 3 feet. How much water does it take to fill the pool?

EM2_0505SE_D_L26_exit_ticket.indd 281

281

12/3/2021 4:54:51 PM

EM2_0505SE_D_L26_exit_ticket.indd 282

12/3/2021 4:54:51 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 27 ▸ Sculpture Recording Sheet

Sculpture Number: 1. My sculpture has 5 to 7 right rectangular prisms.

Number of prisms:

2. Each prism is labeled with a letter, dimensions, and volume. Prism

Dimensions

Volume

3. Prism D has _1 the volume of prism 2

4. Prism E has _1 the volume of prism 3

Prism D volume: Prism

volume:

Prism E volume: Prism

volume:

5. The total volume of my sculpture is 1,000 cubic centimeters or less. (Show your work.) Total volume: © Great Minds PBC •

EM2_0505SE_D_L27_removable_sculpture_recording_sheet.indd 283

283

12/4/2021 4:53:37 PM

EM2_0505SE_D_L27_removable_sculpture_recording_sheet.indd 284

12/4/2021 4:53:37 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 27

Name

Date

The table shows the dimensions of right rectangular prisms in a sculpture. Sculpture

Right Rectangular Prism

Dimensions

2 cm by 2 cm by 5 cm

4 cm by 10 cm by 1 cm

8 cm by 3 cm by 3 cm

A B C

a. What is the volume of the sculpture?

b. Fill in the blanks: The volume of prism

EM2_0505SE_D_L27_exit_ticket.indd 285

is half as much as the volume of prism

285

12/3/2021 4:52:20 PM

EM2_0505SE_D_L27_exit_ticket.indd 286

12/3/2021 4:52:20 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 28 ▸ Sculpture Critique

Sculpture Number: Reviewed by pair number:

1. The number of prisms in the sculpture is

2. Does the sculpture have 5 to 7 right rectangular prisms? Yes or No

DESCRIBE

3. Are all prisms labeled with letters? Yes or No .

4. The letters used are

5. Are the dimensions of each prism written with correct units? Yes or No 6. Is the volume of each prism written with correct units? Yes or No Praises: Reviewed by pair number:

7. Write the dimensions of each prism. Then find the volume of each prism. If the dimensions or volume differ from those written on a prism, circle the prism’s letter in the table.

ANALYZE

Prism

Dimensions

Volume

Praises:

EM2_0505SE_D_L28_removable_sculpture_critique.indd 287

287

12/3/2021 6:14:37 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 28 ▸ Sculpture Critique

8. The volume of prism D is _1 the volume of prism 2 Show how you know.

Sculpture Number: Reviewed by pair number:

INTERPRET

9. The volume of prism E is _1 the volume of prism 3 Show how you know.

10. The total volume of the sculpture is Show how you know.

11. Is the total volume of the sculpture 1,000 cubic centimeters or less? Yes or No

DISCUSS

Praises:

288

EM2_0505SE_D_L28_removable_sculpture_critique.indd 288

12. If you could go back and change your sculpture, would you? In what way?

12/3/2021 6:14:37 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 28

Name

Date

Use the sculpture and table to answer questions 1–11. Sculpture

Prism

Dimensions

6 cm by 3 cm by 2 cm

10 cm by 7 cm by 6 cm

420 cubic centimeters

6 cm by 3 cm by 2 cm

36 cubic centimeters

6 cm by 3 cm by 1 cm

10 cm by 7 cm by 2 cm

C A B E

Volume

36 cubic

centimeters

18 cubic

centimeters

140 cubic

centimeters

Describe 1. The number of prisms in the sculpture is

2. Does the sculpture have 5 to 7 right rectangular prisms? Yes or No 3. Are all prisms labeled with letters? Yes or No 4. The letters used are

5. Are the dimensions of each prism written with correct units? Yes or No 6. Is the volume of each prism written with correct units? Yes or No

EM2_0505SE_D_L28_classwork.indd 289

289

12/3/2021 4:51:16 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5 ▸ TD ▸ Lesson 28

Analyze 7. Are the volumes accurate? Yes or No

Interpret 8. The volume of prism D is _  21 the volume of prism

. Show how you know.

 31 the volume of prism 9. The volume of prism E is _

. Show how you know.

10. The total volume of the sculpture is

. Show how you know.

11. Is the total volume of the sculpture 1,000 cubic centimeters or less? Yes or No

290

LESSON

EM2_0505SE_D_L28_classwork.indd 290

12/3/2021 4:51:16 PM

EUREKA MATH2 Tennessee Edition

Name

5 ▸ M5 ▸ TD ▸ Lesson 28

Date

In this activity, there were two jobs: artist and art critic. The artist created a sculpture based on guidelines. The art critic evaluated other sculptures and checked whether the sculpture met the guidelines. Did you prefer being the artist or the art critic? Why?

EM2_0505SE_D_L28_exit_ticket.indd 291

291

12/3/2021 5:00:04 PM

EM2_0505SE_D_L28_exit_ticket.indd 292

12/3/2021 5:00:04 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5

Credits Great Minds® has made every effort to obtain permission for the reprinting of all copyrighted material. If any owner of copyrighted material is not acknowledged herein, please contact Great Minds for proper acknowledgment in all future editions and reprints of this module. Cover, Wassily Kandinsky (1866–1944), Thirteen Rectangles, 1930. Oil on cardboard, 70 x 60 cm. Musee des Beaux-Arts, Nantes, France. © 2020 Artists Rights Society (ARS), New York. Image credit: © RMN-Grand Palais/Art Resource, NY.; page 212, Natalya Levish/Shutterstock.com; page 269, (top from left) aleg baranau/Shutterstock.com, Francisco Javier Diaz/Shutterstock.com, karnavalfoto/ Shutterstock.com, Gardens by Design/Shutterstock.com, Javani LLC/Shutterstock.com, lovelypeace/ Shutterstock.com, Andrey_Popov/Shutterstock.com, Stock-Asso/Shutterstock.com, foamfoto/ Shutterstock.com; All other images are the property of Great Minds. For a complete list of credits, visit http://eurmath.link/media-credits.

EM2_0505SE_credits.indd 293

293

12/3/2021 3:27:28 PM

EUREKA MATH2 Tennessee Edition

5 ▸ M5

Acknowledgments Kelly Alsup, Adam Baker, Agnes P. Bannigan, Christine Bell, Reshma P Bell, Joseph T. Brennan, Dawn Burns, Amanda H. Carter, David Choukalas, Mary Christensen-Cooper, Nicole Conforti, Cheri DeBusk, Lauren DelFavero, Jill Diniz, Mary Drayer, Christina Ducoing, Karen Eckberg, Melissa Elias, Danielle A Esposito, Janice Fan, Scott Farrar, Gail Fiddyment, Ryan Galloway, Krysta Gibbs, January Gordon, Torrie K. Guzzetta, Kimberly Hager, Jodi Hale, Karen Hall, Eddie Hampton, Andrea Hart, Stefanie Hassan, Tiffany Hill, Christine Hopkinson, Rachel Hylton, Travis Jones, Laura Khalil, Raena King, Jennifer Koepp Neeley, Emily Koesters, Liz Krisher, Leticia Lemus, Marie Libassi-Behr, Courtney Lowe, Sonia Mabry, Bobbe Maier, Ben McCarty, Maureen McNamara Jones, Ashley Meyer, Pat Mohr, Bruce Myers, Marya Myers, Kati O’Neill, Darion Pack, Geoff Patterson, Victoria Peacock, Maximilian Peiler-Burrows, Brian Petras, April Picard, Marlene Pineda, DesLey V. Plaisance, Lora Podgorny, Janae Pritchett, Elizabeth Re, Meri Robie-Craven, Deborah Schluben, Colleen Sheeron-Laurie, Michael Short, Erika Silva, Jessica Sims, Tara Stewart, Heidi Strate, Theresa Streeter, Mary Swanson, James Tanton, Cathy Terwilliger, Saffron VanGalder, Rafael Vélez, Jessica Vialva, Allison Witcraft, Jim Wright, Jackie Wolford, Caroline Yang, Jill Zintsmaster Trevor Barnes, Brianna Bemel, Lisa Buckley, 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

294

EM2_0505SE_acknowledgements.indd 294

12/21/2021 11:20:01 AM

Talking Tool Share Your Thinking

I know . . . . I did it this way because . . . . The answer is

because . . . .

My drawing shows . . . . I agree because . . . .

Agree or Disagree

That is true because . . . . I disagree because . . . . That is not true because . . . . Do you agree or disagree with

Ask for Reasoning

? Why?

Why did you . . . ? Can you explain . . . ? What can we do first? How is

Say It Again

related to

I heard you say . . . . said . . . . Another way to say that is . . . . What does that mean?

EM2_0505SE_acknowledgements.indd 295

12/21/2021 11:20:07 AM

Thinking Tool When I solve a problem or work on a task, I ask myself Before

Have I done something like this before? What strategy will I use? Do I need any tools?

During

Is my strategy working? Should I try something else? Does this make sense?

After

What worked well? What will I do differently next time?

At the end of each class, I ask myself

What did I learn? What do I have a question about?

EM2_0505SE_acknowledgements.indd 296

12/21/2021 11:20:15 AM

MATH IS EVERYWHERE Do you want to compare how fast you and your friends can run? Or estimate how many bees are in a hive? Or calculate your batting average? Math lies behind so many of life’s wonders, puzzles, and plans. From ancient times to today, we have used math to construct pyramids, sail the seas, build skyscrapers—and even send spacecraft to Mars. Fueled by your curiosity to understand the world, math will propel you down any path you choose. Ready to get started?

Module 1 Place Value Concepts for Multiplication and Division with Whole Numbers Module 2 Addition and Subtraction with Fractions Module 3 Multiplication and Division with Fractions Module 4 Place Value Concepts for Decimal Operations Module 5 Addition and Multiplication with Area and Volume Module 6 Foundations to Geometry in the Coordinate Plane

ISBN 978-1-63898-518-1

781638 985181