Smart to the Core - Grade 5 - Preview

SMART TO THE CORE GRADE 5

Building Depth of Knowledge (DOK)

BOOKLET INCLUDES: Train the Brain Practice Drills - drills on the basic skills associated with each individual benchmark (DOK 1) Target Practice Activities - practice problems requiring the application of skills and real-world problem solving (DOK 2)

Think Tank Questions - non-routine task-based problem sets (DOK 3 and 4) Four-Star Challenge - assessments that measure students’ depth of knowledge including: their ability to reason abstractly, create models, write arguments, and critique strategies.

Math Bootcamp (Grade 5) Publisher: Educational Bootcamp Content Development: Educational Bootcamp Senior Editor: Yasmin Malik Cover Design: Sadiq Malik Copyright © 2014 by J & J Educational Bootcamp Educational Bootcamp Sunrise, Florida 33351 All rights reserved. No part of this publication may be reproduced, transmitted, or stored in a retrieval system, in whole or in part, in any form or by any means, electronic or mechanical, including photocopying, recording, or otherwise, without written permission of Educational Bootcamp.

Printed in the United States of America

SMART TO THE CORE TABLE

OF

CONTENTS

Grade 5 CCSS Code

SMART TO THE CORE LESSONS

FOUR STAR CHALLENGE - SCORING RUBRIC 5.OA.1 (5.OA.1.1) MISSION 1: Using the Order of Operations

PAGE NUMBER 4 5 – 14

5.OA.2 (5.OA.1.2)

MISSION 2: Writing and Interpreting Expressions

15 – 24

5.OA.3 (5.OA.2.3)

MISSION 3: Analyzing Patterns and Relationships

25 – 34

5.NBT.1 (5.NBT.1.1)

MISSION 4: Understanding Place Value

35 – 44

5.NBT.2 (5.NBT.1.2)

MISSION 5: Using Powers of Ten

45 – 54

5.NBT.3 (5.NBT.1.3)

MISSION 6: Reading, Writing, and Comparing Decimals

55 – 64

5.NBT.4 (5.NBT.1.4)

MISSION 7: Rounding Decimals

65 – 74

5.NBT.5 (5.NBT.2.5)

MISSION 8: Multiplying Multi-Digit Whole Numbers

75 – 84

5.NBT.6 (5.NBT.2.6)

MISSION 9: Understanding Properties of Operations

85 – 94

5.NBT.7 (5.NBT.2.7)

MISSION 10: Adding and Subtracting Decimals

95 – 104

5.NBT.7 (5.NBT.2.7)

MISSION 11: Multiplying and Dividing Decimals

105 – 114

5.NF.1 (5.NF.1.1)

MISSION 12: Adding and Subtracting Fractions with Unlike Denominators

115 – 124

5.NF.2 (5.NF.1.2)

MISSION 13: Solving Word Problems Involving Fractions

125 – 134

5.NF.3 (5.NF.2.3)

MISSION 14: Interpreting a Fraction as Division

135 – 144

5.NF.4 (5.NF.2.4)

MISSION 15: Multiplying Fractions

145 – 154

5.NF.5 (5.NF.2.5)

MISSION 16: Comparing a Product to Its Fraction Factor

155 – 164

5.NF.6 (5.NF.2.6)

MISSION 17: Multiplying Mixed Numbers

165 – 174

5.NF.7 (5.NF.2.7)

MISSION 18: Dividing Unit Fractions

175 – 184

5.MD.1 (5.MD.1.1)

MISSION 19: Using Customary and Metric Conversions

185 – 194

5.MD.2 (5.MD.2.2)

MISSION 20: Making and Interpreting Line Plots

195 – 204

5.MD.3 (5.MD.3.3)

MISSION 21: Understanding Volume as an Attribute of Solid Figures

205 – 214

5.MD.4 (5.MD.3.4)

MISSION 22: Measuring Volume by Counting Unit Cubes

215 – 224

5.MD.5 (5.MD.3.5)

MISSION 23: Finding Volume Using Formulas and Composed Figures

225 – 234

5.G.1 (5.G.1.1)

MISSION 24: Graphing and Naming Ordered Pairs

235 – 244

5.G.2 (5.G.1.2)

MISSION 25: Graphing and Interpreting Coordinate Values

245 – 254

5.G.3 (5.G.2.3)

MISSION 26: Reorganizing Attributes of Polygons

255 – 264

5.G.4 (5.G.2.4)

MISSION 27: Comparing Two-Dimensional Figures

265 – 274

ALL

DIVISIBILITY RULES

275 – 276

ALL

Student Grids

277

SMART TO THE CORE Recommended Classroom Regimen (Includes all components of the classroom package)

DAY/ TIME

MATH BOOT CAMP: 5-day Regimen DOK 1: BASIC RECALL & RECOGNITION

Day 1 (60 min.)

Benchmark Power Drill: Gradual Release of Basic Skills (10 min.)

Hands On Math: Activity by Benchmark (20 min.)

Smart to the Core Booklet: Train the Brain Practice 1 (Basic Skills) (15 min.)

Smart to the Core Booklet: Target Practice 1 (Basic Application) (15 min.)

DOK 1 & 2: BASIC APPLICATION

Day 2 (60 min.)

Rock Climbing Review: Mixed Daily Review - (10 min.)

Benchmark Power Drill: Gradual Release of Basic Application (20 min.)

Smart to the Core Booklet: Train the Brain Practice 2 (Basic Skills) (15 min.)

Smart to the Core Booklet: Target Practice 2 (Basic Application) (15 min.)

DOK 2 & 3: APPLYING SKILLS & CONCEPTS/STRATEGIC THINKING

Day 3 (60 min.)

Rock Climbing Review: Mixed Daily Review - (10 min.)

Company Drill Game: Review by Benchmark (10 min.)

Mathables® by Benchmark: Foldable Activity (20 min.)

Mathables® by Benchmark: Think Tank Journaling (20 min.)

DOK 3 & 4: STRATEGIC & EXTENDED THINKING

Day 4 (60 min.)

Day 5 (60 min.)

Rock Climbing Review: Mixed Daily Review - (10 min.)

Benchmark Power Drill: Modeling Strategic Thinking (25 min.)

Smart to the Core Booklet: Train the Brain Practice 3 (Application) (15 min.)

Smart to the Core Booklet: Think Tank Question (Strategic Thinking) (10 min.)

ASSESSMENT BY BENCHMARK & DIFFERENTIATED INSTRUCTION Smart to the Core Booklet: Four-Star Challenge (20 min.)

Smart to the Core Booklet: Review the Assessment (10 min.)

Differentiated Instruction: Based on the Four-Star Challenge Results (30 min.)

Group 1 - Hands On Math Activity with DOK Worksheet - 1 Star (Intensive) Group 2 - Hands On Math Activity with DOK Worksheet - 2 Stars (Strategic) Group 3 - Hands On Math Activity with DOK Worksheet - 3 Stars (Prevention) Group 4 - Triathlon Game and/or Company Drill Game (Enrichment)

INSTRUCTIONS FOR SCORING THE FOUR-STAR CHALLENGE (1) Multiple Choice Section: Assign one point to all multiple choice items answered correctly.

(2) Short Answer Section: Assign a maximum of two points.

2 POINTS - Complete correct response, including correct work shown and/or correct labels/units if called for in the item.

1 POINT - Partial correct response.

0 POINTS - No response, or the response is incorrect.

(3) Think Tank Section: Assign a maximum of four points.

4 POINTS - Shows complete understanding of the problem’s mathematical concepts and principles; uses appropriate mathematical terminology; and executes computations correctly and completely.

3 POINTS - Shows nearly complete understanding of the problem’s mathematical concepts and principles; uses mostly correct mathematical terminology; and computations are generally correct, but may contain minor errors.

2 POINTS - Shows some understanding of the problem’s mathematical concepts and principles; uses some correct mathematical terminology, and may contain major computational errors.

1 POINT - Shows limited to no understanding of the problem’s mathematical concepts and principles; may misuse or fail to use mathematical terminology, but attempts an answer.

0 POINTS - No answer attempted.

Intensive Basic Skills Math Strategies

Application of Strategies

Target for Enrichment

1

2

3

4

The student earns ONE star for correctly answering 49% or less.

The student earns TWO stars for correctly answering 50 - 69%.

The student earns THREE stars for correctly answering 70 - 89%.

The student earns FOUR stars for correctly answering 90 - 100%.

1

1

1

1

2

3

Tier 3 In need of Intensive Support

4

2

3

Tier 2 In need of Strategic Support

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4

2

3

4

Tier 1 * Proficient, but in need of Benchmark

2

3

Tier 1 Proficient Target for

4

FOUR-STAR CHALLENGE - 5.nbt.3 (5.nbt.1.3) 1

The expanded notation of a number is shown below.

1

2

1

1(1,000) + 5(100) + 6(10) + 4(1) + 1( 10 ) + 1(1000 )

Nina measured the bud of a flower. It was fifteen thousandths meter long.

What is fifteen thousandths written in decimal form? Grid your answer.

What is the number in decimal form? Grid your answer.

3

5

Wei won the race by 0.200 of a second over Sam. What is the value of the digit 2 in 0.200?

4

Queen drew a circle with a radius of 0.257 centimeter. What digit is in the hundredths place of 0.257?

A

Two ones

A

0

B

Two tenths

B

2

C

Two hundredths

C

5

D

Two thousandths

D

7

Select all of the statements that are correct.

6

Select all of the statements that are correct.

427.864 < 407.648

32.47 > 34.724

2.479 < 24.79

101.304 > 10.403

10.314 > 1.314

8.427 > 4.307

0.27 > 2.07

97.479 < 74.79

536.08 < 563.08

20.311 < 32.011

3.198 > 30.981

724.842 < 742.824

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7

Identify the decimals represented by the shaded region in the models below. Write the decimal using expanded and standard notation.

A.

B.

Expanded notation: __________________ __________________________________

Expanded notation: __________________ __________________________________

Standard notation: __________________

Standard notation: __________________

8

Shade the hundreds grid provided below to represent the decimal. Explain your answer.

A. Shade the grid(s) to show the decimal B. Shade the grid(s) to show the decimal 0.79. Draw a line to connect the 0.476. Draw a line to connect the smaller grid to the larger grid unit box smaller grid to the larger grid unit box to show shading of the thousandths to show shading of the thousandths place if necessary. place if necessary.

63 I Copying is strictly prohibited

1

2

3

4

THINK TANK QUESTION 9

DIRECTIONS: Study the 6 decimals listed below. Use the decimals to complete the tasks.

0.2

0.48

0.285

0.825

0.64

0.66

Part I: Arrange the decimals in order from least to greatest.

_____ < _____ < _____ < _____ < _____ < _____ Part II: Use the number line below to plot the decimals above. Label each decimal.

0

0.1

0.2

0.3

0.4

0.5

0.6

Part III: Explain how you compare and order decimals.

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0.7

0.8

0.9

1.0

mission 7: rounding decimals Use place value understanding to round decimals to any place.

Bootcamp STRATEGY 1: Use place values to round decimals to any place.

Example: Round 49.253 to the nearest tenths: 4 9 . 2 5 3 STEP 1: Underline the targeted digit to be rounded.

STEP 2: Look at the number to the right of the underlined digit. If that number is 0 - 4, then the underlined digit stays the same. If the number is 5 - 9, then the under lined digit must be increased by 1.

STEP 3: Change all the digits to the right of the targeted digit to zero.

The rounded number becomes: 4 9 . 3 0 0 or 4 9 . 3 Bootcamp STRATEGY 2: Use a number line to round decimals to any place.

Example: Round 49.253 to the nearest tenths: 4 9 . 2 5 3

STEP 1: Underline the targeted digit to be rounded.

STEP 2: Draw a number line with intervals at the far right and left sides of the line.

STEP 3: Keep the targeted digit the same and change all of the digits to the right to zeros.

The new number will be (49.200). Place this number on the far left side of the number line.

49.200

STEP 4: Increase the targeted digit by 1 number and change all the digits to the right of the targeted digit to zeros.

49.200

49.300

STEP 5: Add intervals to allow numbers in increasing order to be placed from 49.200 to 49.300 on the number line. Place a dot on the number line that represents the number to be rounded. Determine whether that number is closer to 49.200 or 49.300.

49.200

49.250

49.300

The number is closest to 4 9 . 3 0 0. Therefore, the number rounded to the nearest tenth 49.3.

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TRAIN THE BRAIN PRACTICE 1 5.NBT.4 (5.NBT.1.4) DIRECTIONS: Round to the nearest hundredth using place value or number line strategies.

1

5,455.346 = _______________

2

634.428 = ________________

3

109.896 = _________________

4 1,697.644 = _______________

DIRECTIONS: Round to the nearest tenth using place value or number line strategies.

5

5,455.346 = _______________

6 634.428 = ________________

7

109.896 = _________________

8 1,697.644 = _______________

DIRECTIONS: Round to the nearest whole number using place value or number line strategies.

9

5,455.346 = _______________

11 109.896 = _________________

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10 634.428 = ________________

12 1,697.644 = _______________

Target PRACTICE 1 1

What is 13.833 rounded to the nearest whole number? Grid your answer.

2

The price paid for 25 grams of silver in U.S. dollars is $16.75. What is the price paid when rounded to the nearest whole number? Grid your answer.

3

Perry uses a line of rope that is 26.667 feet long to dock his boat at the marina. What is 26.667 rounded to the nearest tenth?

4

The chef at a Japanese restaurant is preparing a tuna that weighs 25.342 pounds. What is the weight rounded to the nearest hundredth?

5

A

26

A

25

B

26.7

B

25.34

C

26.67

C

26

D

27

D

25.4

Select all of the numbers that are 0.6 when rounded to the nearest tenths.

6

Select all of the numbers that are 0.72 when rounded to the nearest hundredths.

The decimal 0.52

The decimal 0.709

The decimal 0.64

The decimal 0.711

The decimal 0.48

The decimal 0.723

The decimal 0.66

The decimal 0.717

The decimal 0.56

The decimal 0.729

The decimal 0.62

The decimal 0.727

The decimal 0.72

The decimal 0.713

The decimal 0.58

The decimal 0.719

The decimal 0.68

The decimal 0.707

The decimal 0.54

The decimal 0.721 67 I Copying is strictly prohibited

TRAIN THE BRAIN PRACTICE 2 5.NBT.4 (5.NBT.1.4) DIRECTIONS: Round to the nearest hundredth using place value or number line strategies.

1

7,503.802 = ______________

2 500.637 = ________________

3

920.467 = _________________

4 3,537.621 = _______________

DIRECTIONS: Round to the nearest tenth using place value or number line strategies.

5

7,503.802 = _______________

6 500.637 = ________________

7

920.467 = _________________

8 3,537.621 = _______________

DIRECTIONS: Round to the nearest whole number using place value or number line strategies.

9

7,503.802 = _______________

10 500.637 = ________________

11

920.467 = _________________

12 3,537.621 = _______________

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Target PRACTICE 2 1

3

5

Mars takes about 686.87 Earth days to orbit the Sun. What is 686.87 rounded to the nearest whole number?

2

The population density of a state is 5.235 people per square mile. What is the population density per square mile rounded to the nearest whole number?

A

686

A

5

B

686.8

B

5.23

C

686.9

C

5.24

D

687

D

6

Sandy picked out a ribbon that is 15.485 inches long. What is 15.485 rounded to the nearest tenth? Grid your answer.

Select all of the statements that are true about the table.

Snow Height Recorded

4

6

What is 0.236 rounded to the nearest hundredth? Grid your answer.

Select all of the statements that are true about the table.

Rainfall Recorded

When rounded to the nearest tenths, Monday was 14.5 in.

When rounded to the nearest hundredths, April was 2.35 in.

When rounded to the nearest tenths, Monday was 14.6 in.

When rounded to the nearest hundredths, April was 2.34 in.

When rounded to the nearest tenths, Wednesday was 15.6 in.

When rounded to the nearest hundredths, July was 4.58 in.

When rounded to the nearest tenths, Wednesday was 15.7 in.

When rounded to the nearest hundredths, July was 4.57 in.

When rounded to the nearest tenths, Saturday was 17.8 in.

When rounded to the nearest hundredths, October was 8.90 in.

69 I Copying is strictly prohibited

TRAIN THE BRAIN PRACTICE 3 5.NBT.4 (5.NBT.1.4) DIRECTIONS: Answer the questions below.

1 The population density of a city is 7.658 people per square mile. What is the population density per square mile of the city rounded to the nearest whole number?

2 Peter found a stone that has a mass of 54.32 grams. What is the mass of the stone rounded to the nearest tenth?

3 John records the value of 1 euro in U.S. dollars each day for a class assignment. The table shows the data he has recorded so far. What day does the value of 1 euro round to $1.48 to the nearest hundredth?

Day

Value of 1 Euro (in U.S. Dollars)

Monday

1.423

Tuesday

1.478

Wednesday

1.425

Thursday

1.422

4 A tree in front of Silver Knights Elementary School is 5.768 feet tall. What is 5.768 rounded to the nearest tenth?

5 Joaquin’s batting average is 0.2779. What is his batting average rounded to the nearest tenth?

6 Adrian found a rock on the beach that has a mass of 7.568 kilograms. What is the mass of the rock rounded to the nearest tenth?

7 The flagpole in front of Dreston University is 17.365 feet tall. What is 17.365 rounded to the nearest tenth?

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THINK TANK QUESTION DIRECTIONS: Study the list of decimals below. Use the decimals to complete the tasks.

Part I: Connect the decimals on the arrow to the decimals on the number ladder by drawing a line indicating where the decimals are closest.

1.0

0.42

0.8

0.96

0.6 0.18

0.4

0.57

0.2 0.0

0.24

0.81

Part II: Complete the table below by rounding the decimals to the nearest tenth.

Decimal

Round to the Nearest Tenth

0.42 0.18 0.24 0.96 0.57 0.81

Part III: Write a brief explanation of how you rounded the decimals to the nearest tenth.

71 I Copying is strictly prohibited

FOUR-STAR CHALLENGE - 5.nbt.4 (5.nbt.1.4) 1

3

5

What is 153.795 rounded to the nearest hundredth? Grid your answer.

Mona has a tank of water that weighs 56.763 kilograms. What is the weight of the full tank when rounded to the nearest tenth?

A

56

B

56.8

C

56.7

D

57

Select all of the numbers that round to 5.2 when rounded to the nearest tenth.

2

4

6

Orin lives 7.856 miles from school.

What is the distance rounded to the nearest whole number? Grid your answer.

A penny has a diameter of 0.750 inch. What is 0.750 rounded to the nearest hundredth?

A

5

B

1

C

0.75

D

0.76

Select all of the numbers that round to 6.58 when rounded to the nearest hundredth.

4.971

6.584

5.15

6.579

5.109

6.588

5.172

6.573

5.24

6.575

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7

Round the following decimals to the nearest tenth or to the nearest hundredth as indicated.

A. Round the decimals to the nearest B. Round the decimals to the nearest tenth. hundredth.

Decimal

Nearest Tenth

Decimal

0.67

0.123

0.16

0.697

0.39

0.549

3.74

8.429

25.44

15.284

Nearest Hundredth

8 Solve the word problems below. Show your complete solution.

A. Round the numbers below first to the B. Round the numbers below first to the hundredth place, then to the tenth hundredth place, then to the tenth place. place.

Number

To the Hundredth Place

To the Tenth Place

Number

45.624

3.974

31.735

3.628

4.982

71.431

1.188

0.567

To the Hundredth Place

To the Tenth Place

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1

2

3

4

THINK TANK QUESTION 9

DIRECTIONS: Study the list of decimals below. Use the decimals to complete the tasks.

Part I: Arrange the decimals in order from least to greatest.

0.982

0.237

0.584

3.809

9.672

5.482

_____ < _____ < _____ < _____ < ______ < _____ Part II: Complete the table below by rounding the decimals to the nearest hundredth.

Decimal

Round to the Nearest Hundredth

0.982 0.237 0.584 3.809 9.672 5.482 Part III: Complete the table below by rounding your answers from Part II to the nearest tenth.

Decimal

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Round to the Nearest Tenth

mission 18: dividing unit fractions Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

Bootcamp STRATEGY 1: Use fraction strip models to divide unit fractions by a whole number.

Step 1: Create a fraction strip to represent 1 whole. This strip will be used as a guide to create the fraction.

Step 2: Create the unit fraction below the 1 whole fraction strip.

Step 3: Divide the fraction unit by the number of wholes indicated in the problem by determining the equivalent fraction.

Step 4: This fractional part will represent the quotient.

Example:

1 ÷ 3 = 5

1 Whole 1 5 1 15

Bootcamp STRATEGY 2: Use models to divide unit fractions by a whole number.

Step 1: Draw rectangles to represent the dividend.

Step 2: Divide the dividend by the divisor.

Step 3: Count the total number of parts after the whole has been divided.

Step 4: This fractional part will represent the quotient.

Example:

5 ÷ 1 = 5

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TRAIN THE BRAIN PRACTICE 1 5.NF.7 (5.NF.2.7) DIRECTIONS: Use fraction strip models to divide unit fractions by a whole number.

1

3

1 ÷ 4 = 9

1 ÷ 3 = 8

1 ÷ 2 = 5

2

1 ÷ 10 = 7

4

DIRECTIONS: Use models to divide whole numbers by a unit fraction.

5

5 ÷ 1 =

6

4 ÷ 1 =

7

6 ÷ 1 =

8

8 ÷ 1 =

6

4

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3

9

Target PRACTICE 1 1

Wendy has 5 feet of lace to make doilies. She cuts the lace into sections that are 13 foot long. How many sections of lace does Wendy have?

A

3

B

8

C

15

D

3

2

10

Select all of the equations that are correct.

4 ÷ 1 = 24 6 3 ÷ 1 = 1 5 15 8 ÷ 1 = 1 9 72 7 ÷ 1 = 14 2 6 ÷ 1 = 42 8

5 Harley bought 2 pizzas for lunch. He divided each pizza among himself 1 and 8 others. How many 9 pizza slices were there in all? Grid your answer.

4

To complete a sidewalk, a worker used 2 pounds of concrete. The 1 worker filled each mold with 4 pound of concrete. How many molds did the worker fill to equal 2 pounds of concrete?

A

4

B

8

C

24

D

1 2

1

Select all of the equations that are correct.

1 7 1 10 1 12 1 3 1 20

÷ 14 = 98

÷ 20 = 200 ÷ 9= 1 108 ÷ 31 = 1 93 ÷ 5= 1 4

6 There are several pine trees along a 5-mile trail in a neighborhood. A pine 1 tree is located at every 8 mile, 1 beginning at 8 of the trail. How many pine trees are along the trail?

Grid your answer.

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TRAIN THE BRAIN PRACTICE 2 5.NF.7 (5.NF.2.7) DIRECTIONS: Use fraction strip models to divide unit fractions by a whole number.

1

1 ÷ 3 = 7

3

1 ÷ 5 = 3

1 ÷ 4 = 3

2

4

1 ÷ 4 5

=

DIRECTIONS: Use models to divide whole numbers by a unit fraction.

5

3 ÷ 1 =

6

5 ÷ 1 =

7

8÷ 1 =

8

4 ÷ 1 =

5

5

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4

8

Target PRACTICE 2 1

3

Amber has 5 yards of string to bind some planks of wood. She cuts the string into pieces that are 19 yard long.

How many pieces of string does Amber have? Grid your answer.

Select all of the equations that are correct.

1 13 1 11 1 9 1 7 1 5 5

2

4

A recipe calls for 7 cups of tomato sauce. Adriana has a measuring cup 1 that measures 2 a cup. How many times will Adriana need to fill the measuring cup to equal 7 cups of tomato sauce? Grid your answer.

Select all of the equations that are correct.

÷2= 1 26

11 ÷ 1 = 165 15 9÷ 1 = 1 20 180 30 ÷ 1 = 90 6 4÷ 1 = 1 4 16 5 ÷ 1 = 75 15

÷ 4 = 40 ÷6= 1 54 ÷8= 1 54 ÷ 10 = 50

Lori bought 2 bananas. She sliced 1 each banana into fifths. How many 5 banana slices did Lori have?

6

A 6-mile hiking path has a water fountain every 17 mile, beginning 1 at 7 .of the path. How many water fountains are there along the path?

42 A

A

5

B

10

B

7

C

2 5

C

6 7

D

1 10

D

1 42

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TRAIN THE BRAIN PRACTICE 3 5.NF.7 (5.NF.2.7) DIRECTIONS: Solve the problems below.

1

1 Jessie has 5 of cake left. He wants to split the cake evenly among his 2 friends.

What fraction of cake will each friend get?

2 Solei has 5 yards of ribbon that she is using to wrap gifts. She cut the ribbon into 1 pieces that are yard long. How many pieces of ribbon does Solei have?

2

1 3 Hassan has 9 ton of wood. He wants to use the same amount of wood for each of the 2 projects he has to do. What fraction of wood will he use for each project?

4 TJ bought 10 yards of sheet metal for a large project that he is working on. He cut 1 the sheet metal into 4 yard pieces. How many pieces of sheet metal does TJ have?

5 Opal made 3 pans of brownies to sell at a bake sale to raise money for her basketball competition. She is selling the brownies in large pieces. Each piece

1 6

is

of a pan. How many pieces of brownie does Opal have to sell? Draw a diagram to find your answer.

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THINK TANK QUESTION DIRECTIONS: Use the leaves and flowers below to complete the tasks.

1 5

2 5

3 5

4 5

2

4

6

8

Part I: By dividing the number on the leaf by the fraction on the flower, find a flower-leaf pair that has a quotient of 30. Write your division equation below.

Part II: By dividing the number on the leaf by the fraction on the flower, find a flower-leaf pair that has a quotient of 10 and a divisor of 8. Write your division equation below.

Part III: By dividing the number on the leaf by the fraction on the flower, find a flower-leaf pair that has a quotient of 5 and a divisor of 2. Write your division equation below.

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FOUR-STAR CHALLENGE - 5.nf.7 (5.nf.2.7) 1

3

Nadia has a piece of yarn that is 6 yards long. She needs to cut the yarn 1 into pieces of fringe that are 3 yard long. How many pieces of fringe can she cut from the piece of yarn?

2

Alana buys 9 kilograms of wheat. She separates the wheat into packages 1 that contain 8 kilogram of wheat 1 each. How many 8 kilogram packages of wheat can Alana make?

A

18

A

8 9

B

6

B

18

C

3

C

17

D

2

D

72

Select all of the statements that are true.

2÷ 1 = 1 28 14 9 ÷ 1 = 120 20 8 ÷ 1 = 72 9 7 ÷ 1 = 35 5 4÷ 1 = 1 15 60 5 Amy has 17 sticks. She breaks each 1 stick into 6 segments. How many 6 pieces of stick does she have? Grid your answer.

182 I Smart to the Core I Educational Bootcamp

4

1

Select all of the statements that are true.

1 4 1 8 1 12 1 9 1 20

÷ 18 = 1 32 ÷ 12 = 96 ÷ 6 = 72 ÷5= 1 45 ÷3= 1 60

1 6 Every 9 mile along a 4-mile road there is a restaurant. How many restaurants are there along the road? Grid your answer.

7 A.

Find the quotient of the following expressions. Show your complete solution.

5

8

1 4

=

B.

4

1 8

=

Solve the following word problems. Show your complete solution.

A. Katherine ordered 3 chocolate cakes for B. A carpenter found 7 planks of wood. He 1 1 a party. She cut each cake into slices. cut each plank into pieces. How 8 21 How many slices were there in all? many pieces of wood were there in all?

183 I Copying is strictly prohibited

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THINK TANK QUESTION 9

DIRECTIONS: Write the division equation that will give you the correct quotient by arranging a player and basketball combination in any order.

3

1 3

7

1 5

12

1 9

25

1 17

Part I: Find a player and basketball combination that will give a quotient of 1 .

51 Write your division equation below.

Part II: Find a player and basketball combination that will give a quotient of 108.

Write your division equation below.

1 Part III: Find a player and basketball combination that will give a quotient of 125 .

Write your division equation below.

Part IV: Find a player and basketball combination that will give a quotient of 21.

Write your division equation below.

184 I Smart to the Core I Educational Bootcamp