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G MAT H

S T R A N D - B Y- S T R A N D

MEASUREMENT E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B N N AMPLE ISSION IS DUCED IN A S S I H T PERM REPRO C ON NEC TE D T O T H E C OM M ON C OR E STA N D AR D S


RALLY! EDUCATION 22 Railroad Avenue Glen Head, NY 11545 888-99-RALLY Fax: 1-516-671-7900 www.RALLYEDUCATION.com LESLIE@RALLYEDUCATION.com …………………………………………………………………………………………………………………………

Math Problem-Solving Skills & Strategies by Strand

………….. Math Strand-by-Strand Aligned to the Common Core State Standards Grade Levels 3–8

• Focuses on 5 specific math strands Number Sense & Operations, Measurement, Geometry, Statistics & Probability, Algebra

• Guided & independent practice with hints Each book provides math problem-solving practice. Hints offer strategies to help students solve the problem

Class Set: 10 Copies of each Strand Book – Total of 50 books Level C D E F G H

Grade 3 4 5 6 7 8

______ 6002-5 6003-2 6004-9 6005-6 6006-3 6007-0

----------------------------------------------

888-99-RALLY www.RALLYEDUCATION.com


LEVEL M AT H

G

S T R A N D - B Y- S T R A N D

MEASUREMENT E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B N INO ATN H E MPLE CSSOIONN N ISECT A D S E C E D T S U I I D TH PERM REPRO C OM MON CO R E STA N D A R D S

1 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


To the Teacher Math Strand-by-Strand prepares students to succeed on the student expectations that appear on math tests. The program is organized into five books: • Number Sense and Operations • Algebra • Geometry • Measurement • Statistics and Probability Each student expectation has Guided Practice and Independent Practice math problems. The Guided Practice math problems have a hint for every problem. The hints offer strategies to help students solve the problem. Students are introduced to several different problem-solving strategies:

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Use Manipulatives or Act Out Write a Number Sentence, Use Ratio or Proportion Use a Formula or Rule Guess and Check Make it Simpler Make Estimates

STER. A M E IN In the Independent Practice section, students respond to four math for each ACKLproblems L B A T E O student expectation on their own. T IS N BOOK TO B I . D E T THIS YRIGH from R In each book, there are student expectations the particular grade level as well as, P O O F C N S E I . V Y I K A G O when appropriate, student T the previous ANY W grade that are important LE BOexpectations S NOfrom I P N I M N A D O I S E building blocks IStoS review.PRODUC THIS for students PERM RE The RALLY! Math Strands are connected to the Common Core State Standards: • Operations & Algebraic Thinking • Number & Operations in Base Ten • Number & Operations—Fractions • Measurement & Data • Geometry

ISBN 978-1-4204-6282-1 R 6282-1 Copyright ©2012 RALLY! EDUCATION. All rights reserved. No part of the material protected by this copyright may be reproduced in any form by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without permission in writing from the copyright owner. Printed in the U.S.A. 0811.MAQ RALLY! EDUCATION • 22 Railroad Avenue, Glen Head, NY 11545 • (888) 99-RALLY

2 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Contents – Measurement Units of Measurement . . . . . . . 4 Grade 7 Student Expectation

Guided Practice

Independent Practice

7.M.2 . . . . . . . . . . . . . 5 . . . . . . . . . 6 7.M.3 . . . . . . . . . . . . . 8 . . . . . . . . . 9 7.M.4 . . . . . . . . . . . . 10 . . . . . . . . 11 7.M.8 . . . . . . . . . . . . 14 . . . . . . . . 16 Grade 7 Student Expectation

7.M.1 7.M.5 7.M.6 7.M.7

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Guided Practice

. . . . . . . . . . . . 20 . . . . . . . . . . . . 24 . . . . . . . . . . . . 28 . . . . . . . . . . . . 36

Independent Practice

. . . . . . . . 21 . . . . . . . . 25 . . . . . . . . 30 . . . . . . . . 37

STER. A M E CKLIN A L B A Grade 7 S NOT OK TO BE I T I Student Guided Independent . GHTED OR THIS BO I Expectation Practice Practice R Y P EN F IS CO AY. 7.M.9 . . . . . . . . . . . . 42 .B.O.O. K. . . . 43 NOT GIV W Y N E A L AMP D IN ON IS THIS S PERMISSI EPRODUCE R Estimation . . . . . . . . . . . . . . . . 45 Tools and Methods . . . . . . . . . . 41

Grade 7 Student Expectation

7.M.10 7.M.11 7.M.12 7.M.13

Guided Practice

. . . . . . . . . . . 46 . . . . . . . . . . . 49 . . . . . . . . . . . 54 . . . . . . . . . . . 56

Independent Practice

. . . . . . . . 47 . . . . . . . . 50 . . . . . . . . 55 . . . . . . . . 57

Ruler and Protractor . . . . . . . . 64

3 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Units of Measurement Student Expectation

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

7.M.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Convert capacities and volumes within a given system 7.M.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 Identify customary and metric units of mass 7.M.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Convert mass within a given system

STER. A M E KLIN 7.M.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A. .B.L.A.C. . . . 14 OT O BE Sa Nprotractor I T Draw central angles in a given circle using T K I O . GHTED OR THIS BO I (circle graphs) R Y P O IVEN F Y WAY. K IS C G O T O O B 7.M.1 MP. L. E. . . . .S.S.I.O.N. .IS. .N. . . .U. C.E.D. .IN. . A. N. . . . . . . . . . . . . . 20 A S S I D scale a map TH CalculatePdistance ERMI using REPRO 7.M.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Calculate unit price using proportions 7.M.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 Compare unit prices 7.M.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 Convert money between different currencies with the use of an exchange rate table and a calculator

4 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Guided Practice Directions: Use the hint to help you solve the problem.

Band: 7.M.2 1

Units of Measurement Convert capacities and volumes within a given system

Lisa makes fruit punch for a party. She prepares a total of 48 cups of fruit punch. How many gallons of fruit punch does she make?

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 1 gallon = 16 cups

HINT

Use a Formula or Rule. Use the rule 1 gallon = 16 cups to find how many gallons there are in 48 cups of fruit punch.

A B C D

STER. A M E ACKLIN L B A 2 S NOT OK TO BE I T I . 3 GHTED OR THIS BO I R Y P O 4 IVEN F Y WAY. K IS C G O T O O B LE N IS N UCED IN AN O 5 IS SAMP I S S I D TH PERM REPRO

5 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Independent Practice Directions: Solve the problems on your own.

2

Bryce puts 0.5 liters of water in a beaker for a science experiment. How many milliliters of water are in the beaker? 1 liter = 1,000 milliliters A 5 B 50 C 500 D 5,000

3

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Mrs. Gonzalez bought 9 quarts of lemonade for the baseball team. How many cups of lemonade did she buy? STER.

A B C

E MA N I L K C A BLA BE 1 quart = 4 cups IS NOT OK TO . IT D O E B T S H I G H OPYRI IVEN FOR T Y. C S I 4 OT G IN ANY WA BOOK N E L S I P M 18HIS SA SION UCED D T O R ERMIS P P RE 27

D 36

6 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


4

Mr. Donzi uses 160 liters of water for his plants every month. How many milliliters of water does he use? 1 liter = 1,000 milliliters A 1,600 B 16,000 C 160,000 D 1,600,000

5

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Ariana has a 3-gallon bucket. How many pints of water does Ariana need to fill the bucket? 1 gallon = 8 pints

STER. A M E 32 ACKLIN L B A S NOT OK TO BE 40 I T I . GHTED OR THIS BO I R 48 Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

A 24 B C D

7 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Guided Practice Directions: Use the hint to help you solve the problem.

Band: 7.M.3 1

Units of Measurement Identify customary and metric units of mass

Which unit of measure is a metric unit for mass?

HINT

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Guess and Check. Look at each answer choice. Think about what each unit measures. Eliminate those that are not used to measure mass.

A centimeters B meters

STER. A M E ACKLIN L milligrams B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

C kilometers D

8 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Independent Practice Directions: Solve the problems on your own.

2

Which of the following is a customary unit for weight? A meters B liters C tons D grams

3

A grams B liters C cups

STER. A M E ACKLIN L B A BE NOT O S I T T K I O . Which unit of measure is a customary unit GHTEDfor Oweight? HIS BO I T R Y R P O A centimeters IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN B pounds A S S I I D TH PERM REPRO C gallons

D pints

4

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Which of the following is a metric unit for mass?

D yards

5

Which unit of measure is a metric unit for mass? A centimeters B meters C kiloliters D kilograms

9 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Guided Practice Directions: Use the hint to help you solve the problem.

Band: 7.M.4 1

Units of Measurement Convert mass within a given system

Out West Airlines requires each suitcase to weigh 22.7 kilograms or less before it can go onto the airplane. Naomi’s suitcase weighs 3,580 grams before it is packed. What is the maximum amount of weight, in kilograms, Naomi can pack in her suitcase and still be allowed to bring her suitcase onto the airplane?

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

HINT

Make It Simpler. Make the problem simpler by converting 3,580 grams to kilograms. Then find the amount of weight Naomi can pack in her suitcase.

STER. A M E Show your work. ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO Answer

kilograms

10 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Independent Practice Directions: Solve the problems on your own.

2

Chloe buys 40 ounces of chicken at the grocery store. The chicken costs $5.40 per pound. How much does Chloe pay for the chicken, before tax? 1 pound = 16 ounces A $13.50 B $16.20 C $21.60

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

D $216.00

3

Jackson buys 420 grams of cereal at the health food store. The cereal costs $6.50 per kilogram. How much does Jackson pay for the cereal, before tax? STER.

A B C

E MA N I L K C A BLA BE T O 1 kilogram = 1,000 grams N . IT IS IS BOOK TO D E T H G H OPYRI IVEN FOR T Y. C S I $1.73 OT G IN ANY WA BOOK N E L S I P M A D ON $2.13 THIS S PERMISSI EPRODUCE R $2.63

D $2.73

11 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


4

Mr. Alvarez is using the freight elevator to move furniture. The weight limit for the elevator is 2 tons. So far, Mr. Alvarez has loaded 2,500 pounds of furniture. What is the maximum amount of additional weight, in tons, Mr. Alvarez can load in the elevator before reaching the weight limit? Show your work.

Answer

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 tons

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

12 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


5

Halle’s wants her backpack and the items in it to weigh 10 kilograms or less. Halle’s backpack weighs 908 grams before she puts any items in it. What is the maximum amount of weight, in kilograms, Halle can put in her backpack and still have it weigh 10 kilograms or less? Show your work.

Answer

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 kilograms

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

13 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Guided Practice Directions: Use the hint to help you solve the problem.

Units of Measurement Draw central angles in a given circle using a protractor (circle graphs)

2

130 140 150 120 160 110 0 40 30 17 60 5 0 20 0 10 70 10 80

1

40 50 60 30 70 2 0 150 140 130 120 110 8 0 1 0 160 10 0 0 9 17

1

0

Band: 7.M.8

Use your protractor to help you solve this problem.

Mr. Damon is going to show his children the family’s monthly budget. He decides to display the monthly budget data below in a circle graph.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 DAMON FAMILY MONTHLY BUDGET Expenses

Percent of Budget

Mortgage

40%

STER. A M E Food 15% ACKLIN L B A Other expenses 20% S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO Car

25%

14 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Using your protractor, create a circle graph below by displaying and labeling each of the five expenses.

HINT Compute—Write a Number Sentence. Remember that there are 360° in a circle. Use that information and the percents shown in the budget to write number sentences to find the measure of each central angle in your circle graph.

Show your work.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 DAMON FAMILY MONTHLY BUDGET

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

15 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Independent Practice 2

130 140 150 120 160 110 0 40 30 17 60 5 0 20 0 10 70 10 80

1

40 50 60 30 70 2 0 150 140 130 120 110 8 0 1 0 160 10 0 0 9 17

2

0

Directions: Solve the problems on your own. Use your protractor to help you solve this problem.

Cindy surveyed her classmates about their favorite pet. She decides to display her survey results below in a circle graph. 7th-GRADE FAVORITE PET

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Pet

Percent of Students

Dog

50%

Cat

30%

Fish

15%

No Favorite

5%

STER. A M E IN labeling Using your protractor, create a circle graph below by displaying ACKLand L B A each of the four pet categories. S NOT OK TO BE I T I . GHTED OR THIS BO I Show your work. R Y P O NF IVEPET K IS C FAVORITE AY. G O W T O Y O B N N E A L AMP D IN ON IS THIS S PERMISSI EPRODUCE R

16 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


2 1

0 40 50 60 30 70 2 0 150 140 130 120 110 8 0 1 0 160 10 0 0 9 17

3

130 140 150 120 160 110 0 40 30 17 60 5 0 20 0 10 70 10 80

Use your protractor to help you solve this problem.

The manager of the video store keeps track of the videos that are rented each week. He decides to display the video rental data below in a circle graph. VIDEO RENTALS Category

Number of Rentals

Drama

10%

Comedy

35%

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Family

40%

Classics

15%

Using your protractor, create a circle graph below by displaying and labeling each of the four video categories. Show your work.

STER. A M E CKLIN A L B A VIDEO RENTALS NOT O BE S I T T K I O . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

17 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


2 1

0 40 50 60 30 70 2 0 150 140 130 120 110 8 0 1 0 160 10 0 0 9 17

4

130 140 150 120 160 110 0 40 30 17 60 5 0 20 0 10 70 10 80

Use your protractor to help you solve this problem.

Gabriella surveyed her classmates about their favorite color. She decides to display her survey results below in a circle graph. FAVORITE COLOR Color

Percent of Students

Red

20%

Blue

25%

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Green

45%

Yellow

10%

Using your protractor, create a circle graph below by displaying and labeling each of the four color categories. Show your work.

STER. A M E CKLIN A L B A FAVORITE COLOR NOT O BE S I T T K I O . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

18 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


2 1

0 40 50 60 30 70 2 0 150 140 130 120 110 8 0 1 0 160 10 0 0 9 17

5

130 140 150 120 160 110 0 40 30 17 60 5 0 20 0 10 70 10 80

Use your protractor to help you solve this problem.

Wesley and his 3 friends ate an extra-large pizza while watching a football game. The pizza was cut into 20 equal pieces. Wesley decides to display the data below in a circle graph. PIZZA EATEN Name

Percent of Pizza Eaten

Wesley

25%

Jack

40%

Sherri

20%

Kellie

15%

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Using your protractor, create a circle graph below by displaying and labeling each of the four names.

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . PIZZA EATEN GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

Show your work.

19 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Guided Practice Directions: Use the hint to help you solve the problem.

Band: 7.M.1

Units of Measurement Calculate distance using a map scale

1

Use your ruler to help you solve this problem.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

A pilot flies from Orlando to Atlanta. Based on the scale drawing below, what is the distance, in miles, the pilot flies? Atlanta

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B LE MPSCALE N IS N UCED IN AN A O I S S S S I I D TH PERM REPRO 1 — inch = 80 miles 2

Orlando

HINT Compute—Write a Number Sentence, Use Ratio or Proportion. Measure the distance on the map. Then use that map distance, the unknown actual distance, and the scale to write a proportion. Solve the proportion. Show your work.

Answer

miles

20 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Independent Practice Directions: Solve the problems on your own.

2

1ᎏ inch = 16 miles. The distance between two cities on the The scale of a map is ᎏ4 1ᎏ inches. What is the actual distance, in miles, between the two cities? map is 4ᎏ2 A 64 B 128 C 144 D 288

3

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Use your ruler to help you solve this problem.

Charles is planning a car trip from Vancouver to Seattle.

STER. A M E ACKLIN L B Seattle A S NOT OK TO BE I T I . Tacoma TED HIS BO Olympia PYRIGH T R O O EN F IVWASHINGTON K IS C AY. G O W T O Y O B N N E A L AMP D IN ON IS THIS S PERMISSI EPRODUCE R SCALE Vancouver

1 cm = 40 miles

OREGON

What is the approximate driving distance from Vancouver to Seattle? A 80 B 120 C 160 D 200

21 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


4

A path on a treasure map is shown on the grid below.

X A

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 B

C

SCALE

= 1 square mile

STER. A M E ACKLIN L B A ISLAND PATH S NOT OK TO BE I T I . ED IS BO GHTLength I Path Section (inTHmiles) R Y R P O O— IVEN F Y WAY. K ISofCAB G O T O Length O B IS N IN AN MPLE SSION — A D S E — C S U I I M of BCEPROD TH PERLength R

Complete the table below to calculate the total length of the path.

— — Length of CX

Total Path Length

22 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


5

Use your ruler to help you solve this problem. An alligator travels from Lake Charles to Lafayette. Based on the scale drawing below, what is the distance, in miles, the alligator travels?

Lafayette

Lake Charles SCALE

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

1 inch = 10 miles — 2

LOUISIANA

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

Show your work.

Answer

miles

23 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Guided Practice Directions: Use the hint to help you solve the problem.

Band: 7.M.5 1

Units of Measurement Calculate unit price using proportions

Sizzling Chicken Shack sells chicken wings in a variety of packages. The cost per chicken wing is the same in every package. A package of 21 wings costs $17.85. Write a proportion that can be used to determine the cost of a package of 6 wings.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

HINT

Compute—Write a Number Sentence, Use Ratio or Proportion. Write a proportion where each ratio compares the number of wings to the cost.

TER. S A M E Proportion ACKLIN L B A NOT of K6 Twings. Solve your proportion to determine the cost of aSpackage O BE I T I O . GHTED OR THIS BO I R Y Show your work. P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

Answer $

24 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Independent Practice Directions: Solve the problems on your own.

2

A 60-ounce bag of cat food costs $7.20. If the unit price stays the same, how much does a 96-ounce bag of cat food cost? A $9.60 B $10.56 C $11.02 D $11.52

3

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

A 3-pound bunch of bananas costs $1.89. If the unit price stays the same, how much does a 5-pound bunch of bananas cost? A $3.10 B $3.15

STER. A M E ACKLIN L B A $3.78 S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

C $3.25 D

25 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


4

Green Tree Nursery sells plants in a variety of trays. The cost per plant is the same in every tray. A tray of 12 plants costs $8.28. Write a proportion that can be used to determine the cost of a tray of 8 plants. Proportion Solve your proportion to determine the cost of a tray of 8 plants. Show your work.

Answer $

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

26 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


5

April’s Gift Shop sells handmade soap in a variety of packages. The cost per bar of soap is the same in every package. A package of 6 bars of soap costs $22.68. Write a proportion that can be used to determine the cost of a package of 4 bars of soap. Proportion Solve your proportion to determine the cost of a package of 4 bars of soap. Show your work.

Answer $

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

27 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Guided Practice Directions: Use the hint to help you solve the problem.

Band: 7.M.6 1

Units of Measurement Compare unit prices

Steven and his brother are comparing the prices of two brands of chili. Best Brand Chili costs $1.54 for a 14-ounce can. Downhome Chili costs $2.16 for a 24-ounce can.

E L P SAM ATION C Chili U D E ! Y L RAL Chili99.RALLY . 8 8 8 Downhome

Best Brand

STER. A M E 24 oz. 14 oz. ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P Part A O IVEN F Y WAY. K IS C G O T O O B AN What is theAprice INChili? MPLEper ounce NofIStheN BestUCBrand D O I S E S S S I I D TH PERM REPRO HINT

Organize—Make a Chart or List. Make a list of the information in the problem. Then use the information to find the price per ounce of the Best Brand Chili. Show your work.

Answer $

per ounce

28 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Part B How much more expensive is Best Brand Chili per ounce than Downhome Chili? Show your work.

Answer $

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 per ounce

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

29 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Independent Practice Directions: Solve the problems on your own.

2

Kendra and her mother are comparing the prices of two brands of birdseed. Yummy Seed costs $5.25 for a 25-pound bag. Birdsong Seed costs $8.50 for a 50-pound bag.

Birdsong Seed

E L P M Yummy A S N O Seed I T A C U D E ! Y L L Y L A L R A R . 9 9 . 888 50 lbs

25 lbs

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . Part A GHTED OR THIS BO I R Y P O F IVENSeed? K IS Cof theOYummy AY. What is the price per pound G O W T O Y B N N E A L MP ION IS ODUCED IN S S IS SAwork. I Show M THyour P ER REPR

Answer $

per pound

30 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Part B How much more expensive is Yummy Seed per pound than Birdsong Seed? Show your work.

Answer $

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 per pound

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

31 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


3

Edgar and his sister are comparing the prices of two brands of cheddar cheese. Cheesylicious costs $2.80 for an 8-ounce package. Farm Fresh costs $8.20 for a 20-ounce package.

Farm Fresh CHEDDAR

Cheesylicious CHEDDAR 8 oz.

Part A

20 ounces

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

What is the price per ounce of the Cheesylicious? Show your work.

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

Answer $

per ounce

32 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Part B How much more expensive is Farm Fresh per ounce than Cheesylicious? Show your work.

Answer $

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 per ounce

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

33 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


4

The table below shows the prices of three different-sized packages containing the same type of cookies. COOKIES Package

Weight (in ounces)

Package Price

A

12

$2.88

B

18

$3.78

C

24

$4.56

Cookie Price (per ounce)

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Complete the table to determine which package has the lowest cookie price, per ounce. Show your work.

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B Answer MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

34 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


5

The table below shows the prices of three different-sized bottles containing the same type of apple juice. APPLE JUICE Bottle

Capacity (in fluid ounces)

Bottle Price

A

15

$2.10

B

24

$2.64

C

32

$3.84

Apple Juice Price (per fluid ounce)

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Complete the table to determine which bottle has the lowest apple juice price, per fluid ounce. Show your work.

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B Answer MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

35 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Guided Practice Directions: Use the hint to help you solve the problem.

Band: 7.M.7

1

Units of Measurement Convert money between different currencies with the use of an exchange rate table and a calculator

Ana travels internationally on business. On a trip to Canada, Ana uses the exchange rates in the tables shown below.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 U.S. Dollar

Canadian Dollar

$1.00

$1.0245

Canadian Dollar

U.S. Dollar

$1.00

$0.9760

STER. A M E ACKLIN L B A BE NOT Oyour S dollars? I T T K I O . What is the value of 300 U.S. dollars in TCanadian Round answer to ED BO S H I G H I T R the nearest Canadian dollar. COPY N FOR S E I V I K AY. G O W T O Y O B N N E A L IS P IN IS SAM ERMISSION RODUCED THHINT P REP Sentence. Use the information in the first Compute—Write a Number table and write a number sentence to find the value of 300 U.S. dollars in Canadian dollars. Show your work.

Answer $

36 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Independent Practice Directions: Solve the problems on your own.

2

Marisa is spending a week in London. She uses the exchange rates in the tables shown below. U.S. Dollar

British Pound

$1.00

£0.5016

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 British Pound

U.S. Dollar

£1.00

$1.9936

What is the value of 1,500 U.S. dollars in British pounds, to the nearest pound?

STER. A M E 752 ACKLIN L B A 2,900 S NOT OK TO BE I T I . 2,990 GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

A 750 B C D

37 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


3

Wyatt went to Mexico. He has 4,325 Mexican pesos to exchange for U.S. dollars. He uses the exchange rates in the tables shown below. U.S. Dollar

Mexican Peso

$1.00

$10.3199

Mexican Peso

U.S. Dollar

$1.00

$0.0969

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

What is the value of 4,325 Mexican pesos in U.S. dollars, to the nearest dollar? A $44,634 B $4,463 C $4,191 D $419

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

38 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


4

On a trip to the United States from Spain, Sergio uses the exchange rates in the tables shown below. U.S. Dollar

European Euro

$1.00

€ 0.6349

European Euro

U.S. Dollar

€ 1.00

$1.5750

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

What is the value of 2,000 European Euros in U.S. dollars? Round your answer to the nearest U.S. dollar. Show your work.

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P IS CO IVEN F Y WAY. K G O T O O B Answer $ MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

39 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


5

Noah travels to Japan on business. On a recent trip, Noah uses the exchange rates in the tables shown below. U.S. Dollar

Japanese Yen

$1.00

108.81¥

Japanese Yen

U.S. Dollar

$0.009190

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

What is the value of 400 U.S. dollars in Japanese yen? Round your answer to the nearest yen. Show your work.

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P IS CO IVEN F Y WAY. K G O T O O B Answer MPLE SSIO¥N IS N UCED IN AN A S S I I D TH PERM REPRO

40 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Tools and Methods E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Student Expectation

7.M.9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 Determine the tool and technique to measure with an appropriate level of precision: mass

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

41 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Guided Practice Directions: Use the hint to help you solve the problem.

Band: 7.M.9

1

Tools and Methods Determine the tool and technique to measure with an appropriate level of precision: mass

What would be the best method to determine the mass of a paperclip?

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

HINT

Guess and Check. Look at each answer choice. Eliminate the choices that are not methods for finding mass. Then think about the size of a paperclip and choose the answer with the correct precision.

STER. A M E Weigh the paperclip on a scale to the nearest gram. ACKLIN L B A Measure the length of the paperclip with Ta Iruler. S NOT OK TO BE I . ED a ruler.THIS BO GHTwith I Measure the width of the paperclip R Y P CO N FOR S E I V I K AY. G O W T O Y O B N N E A L AMP D IN ON IS THIS S PERMISSI EPRODUCE R

A Weigh the paperclip on a scale to the nearest kilogram. B C D

42 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Independent Practice Directions: Solve the problems on your own.

2

What would be the best method to determine the mass of a bicycle? A Weigh the bicycle on a scale to the nearest kilogram. B Weigh the bicycle on a scale to the nearest gram. C Measure the length of the bicycle with a ruler. D Measure the height of the bicycle with a ruler.

3

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

What would be the best method to determine the mass of a quarter? A Weigh the quarter on a scale to the nearest kilogram.

B Measure the radius of the quarter with a ruler, square the result, and multiply by π.

STER. A M E D Measure the diameter of the quarter with a ruler, and multiply ACKLINby 2π. L B A S NOT OK TO BE I T I . GHTED Othe HIS BofO a cement truck? I T R Y R P What would be the best method to determine mass O IVEN F Y WAY. K IS C G O T O O B AN kilogram. LE truck A Weigh the INnearest MPcement NonISaNscaleUtoCEthe A D O I S S S S I I TH ERM of theRcement B Measure thePlength EPROD truck with a ruler. C Weigh the quarter on a scale to the nearest gram.

4

C Weigh the cement truck on a scale to the nearest gram. D Measure the height of the cement truck with a ruler.

5

What would be the best method to determine the mass of a glass of milk? A Weigh the glass of milk on a scale to the nearest kilogram. B Measure the diameter of the glass of milk with a ruler, and multiply by π. C Measure the height of the glass of milk with a ruler. D Weigh the glass of milk on a scale to the nearest gram.

43 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

44 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Estimation E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Student Expectation

7.M.10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 Identify the relationship between relative error and magnitude when dealing with large numbers (e.g., money, population) 7.M.11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 TER. Estimate surface area E MAS

ACKLIN L B A E 7.M.12 . . . . . . . . . . . . . . . . . . . . . . . . .I.S. N .O . .T. . . . . . .T.O. .B54 T K I O . TEDcustomary/metric Determine personal references GHfor HIS BO units I T R Y R P O O of mass IVEN F Y WAY. K IS C G O T O O B MPL. E. . . . .S.S.I.O.N. .IS. .N. . . .U. C.E.D. .IN. . A. N. . . . . . . . . . . . . . 56 A S 7.M.13 S I D TH RMI ROthe E P REPof Justify the reasonableness mass of an object

45 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Guided Practice Directions: Use the hint to help you solve the problem.

Band: Estimation 7.M.10 Identify the relationship between relative error and magnitude when dealing with large numbers (e.g., money, population)

1

Loretta estimates the population of her town to be 60,000 people. The actual population is 150,000 people. What is the relative error of Loretta’s estimate?

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

HINT

Organize—Make a Chart or List. Make a chart to show Loretta’s estimate, the actual population, and the difference between the actual population and the estimate. Use that information to find the relative error.

A B C D

STER. A M E 30% ACKLIN L B A 40% S NOT OK TO BE I T I . 50% GHTED OR THIS BO I R Y P O IVEN F Y WAY. 60% K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

46 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Independent Practice Directions: Solve the problems on your own.

2

Randy estimates the cost of a used car to be $2,000. The actual cost of the used car is $2,500. What is the relative error of Randy’s estimate? A 10% B 20% C 25% D 80%

3

Daniela estimates the cost of a new house to be $720,000. The actual cost is $400,000. What is the relative error of Daniela’s estimate? A 80% B 60%

STER. A M E ACKLIN L B A D 20% S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O F VEN10,000 Ibe K IofS Ca bridge AY. The actual weight G O W T O Will estimates the weight to pounds. Y O B N N E A L P IN relative error of Will’s estimate? N IS What IOpounds. EisD the S C of the S U IS SAMis 1,000,000 I D M THbridge O P ER REPR C 40%

4

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

A 9%

B 90% C 99% D 110%

47 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


5

Sarai estimates that there are 75 gas stations in her city. The actual number of gas stations is 1,500. What is the relative error of Sarai’s estimate? A 5% B 50% C 75% D 95%

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

48 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Guided Practice Directions: Use the hint to help you solve the problem.

Band: 7.M.11 1

Estimation Estimate surface area

Mara wants to paint the entire outside of her rectangular storage box shown in the diagram below.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 10.2 inches

5.1 inches

STER. A M E 4.3 CKLIN Ainches L B A S NOT OK TO BE I T I . Use estimation to calculate the total surface in Isquare GHTED area, H S BO inches, of the I T R Y R P O storage box. O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I HINT D TH ERMI PROgiven P REthe Make Estimates. Round measures to the nearest inch. Then use the rounded numbers in the formula for surface area of a rectangular prism to estimate the surface area of the storage box. Show your work.

Answer

square inches

49 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Independent Practice Directions: Solve the problems on your own.

2

Raheem wants to paint the entire outside of the cylindrical tank shown in the diagram below.

h = 2.9 meters r = 1.2 meters

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Use estimation to calculate the total surface area, in square meters, of the tank. Show your work.

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

Answer

square meters

50 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


3

Madison wants to use fabric to cover the entire outside of the wooden cube shown in the diagram below.

11.8 inches

11.8 inches

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 11.8 inches

Use estimation to calculate the total surface area, in square inches, of the wooden cube. Show your work.

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I TH OD PERM Answer square REPRinches

51 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


4

Jose wants to paint the entire outside of his sister’s rectangular toy box shown in the diagram below.

4.8 feet

2.1 feet

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

2.3 feet

Use estimation to calculate the total surface area, in square feet, of the toy box. Show your work.

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B LE N IS N feetUCED IN AN O AnswerIS SAMP square I S S I D TH PERM REPRO

52 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


5

Maria wants to put glass tile on the entire outside of the rectangular wooden box shown in the diagram below.

45.4 centimeters

22.3 centimeters 10.4 centimeters

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Use estimation to calculate the total surface area, in square centimeters, of the wooden box. Show your work.

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I square D Answer centimeters TH PERM REPRO

53 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Guided Practice Directions: Use the hint to help you solve the problem.

Band: Estimation 7.M.12 Determine personal references for customary/metric units of mass 1

Which has a mass of about 1 kilogram?

HINT

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Make Estimates. Estimate the mass of each item in the answer choices. Which estimate is closest to 1 kilogram?

A a bicycle B a car

STER. A M E ACKLIN L a couch B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

C a textbook D

54 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Independent Practice Directions: Solve the problems on your own.

2

Which weighs about 1 ton? A a piece of paper B a small car C a cruise ship D a chair

3

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Which has a mass of about 1 gram? A a paperclip

B a quart of milk C a refrigerator

STER. A M E ACKLIN L B A BE NOT O S I T T K I O . Which weighs about 1 pound? GHTED OR THIS BO I R Y P A a slice of bread OK IS CO IVEN F Y WAY. G T O O B PLE N IS N UCED IN AN B a loaf ofAM bread O I S S S S I I D TH PERM REPRO C an refrigerator D a baseball bat

4

D a gallon of milk

5

Which has a mass of about 1 kilogram? A a horse B an ice cube C a television D a baseball bat

55 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Guided Practice Directions: Use the hint to help you solve the problem.

Band: Estimation 7.M.13 Justify the reasonableness of the mass of an object 1

The container below contains 12 ounces of flour.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

TER.

Estimate the weight of the flour in the container when the container E MisAS N I L K C completely filled. A BLA

S NOT OK TO BE I T I . GHTED OR THIS BO I HINT R Y P F IS CO how IVEN of KEstimate AY. is filled with flour. Is it Make Estimates. much theYcontainer G O W T O O B N N E A L S P about filled, filled, ION Ione-third ED INor one-half filled? Then estimate the S C S U IS SAMone-fourth I D M THweight O when PER the container REPRis completely filled.

Estimation

ounces

On the lines below, describe how you can estimate the weight of the flour without using a ruler.

56 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


Independent Practice Directions: Solve the problems on your own.

2

The tank below contains 475 grams of water.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . Estimate the weight of the water in the D when Hthe BO is completely filled. IS tank GHTEtank I T R Y R P O O IVEN F Y WAY. K IS C G O T O O B N Estimation AMPLE IN AN N ISgrams D O I S E S C S S U I I M TH OD PERdescribe REPRyou On the lines below, how can estimate the weight of the water without using a ruler.

57 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


3

The planter below contains 5 pounds of dirt.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Estimate the weight of the dirt in the planter when the planter is completely filled. Estimation

pounds

On the lines below, describe how you can estimate the weight of the dirt without using a ruler.

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

58 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


4

The box below contains 1.25 kilograms of sand.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. A M E CKLIN Estimate the weight of the sand in the box when the boxBis filled. Acompletely L A T E O B N . IT IS IS BOOK TO D E T H Estimation PYRIG EN FOR TH . Okilograms C S I AY GIV OK howNyou W T O Y O B N E On the lines M below, describe can estimate the weight of the sand without A L P IN N IS A D O I S E S C S S U I I D using THa ruler. PERM REPRO

59 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


5

The planter below contains 15 pounds of dirt.

Estimate the weight of the dirt in the planter when the planter is completely filled. Estimation

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 pounds

On the lines below, describe how you can estimate the weight of the dirt without using a ruler.

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

60 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

61 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

62 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

63 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


17 16

1

15

Inches

18

Ruler and Protractor

170 160 0 10 5 1 20 0 0 4 3 1 40

13

14

3

11

12

2

2

8 0 9 0 100 110 70 12 80 7 100 0 0 6 0 110 13 60 0 0 5 0 12 5 0 0 13

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 10 20 170 1 30 60 1 50 4 0 14 0

6

7

4

8

9

1

10

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

6 7

1 2 3 Centimeters

4

5

5

64 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .


E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO


G

Strand Strand BY

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8

Math Strand-by-Strand provides instructional practice in math problem-solving. Students are taught several different problem-solving strategies. Each of the 5 math strands are in a separate book: • • • • •

Number Sense and Operations Algebra Geometry Measurement Statistics and ProbabilityIGHTED.

STER. A M E ACKLIN L B A E OT IT IS N BOOK TO B THIS YR R P O O F C GIVEN NY WAY. OK IS T O O B N E L IN A MP N IS A D O I S E S C S S U I I D TH PERM REPRO

Math sbs g measure sample