Staar math g numbers sample by RALLY! Education

Applying the Readiness and Supporting TEKS for the STAAR

S TA A R MAT H NUMBERS, OPERATIONS,

E L P AM S N O I T A QUANTITATIVE C U D E ! Y REASONING RALL 99.RALLY . 8 8 8 — AND —

STER. A M E ACKLIN L B A S NOT OK TO BE I T I . IGHTED FOR THIS BO R Y P O IVEN K IS C G O WAY. T O Y O B N N E A L S I IN MP N HIS SA PERMISSIO EPRODUCED T L L Y ! ER D U C A T I O N

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 for STAAR Math

………….. Mastering STAAR Math with RALLY! Words Applying the Readiness & Supporting TEKS Grade Levels 3–8 • • • •

Guided Instruction Independent Practice Math Journal/Answer Book Academic Vocabulary FREE SHIPPING

Price $389 10 Copies of 5 Strand Books per grade level-Total of 50 books RALLY! Words Math Essential Vocabulary (Online Access for 15 Students) Level C D E F G H

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LEVEL

Applying the Readiness and Supporting TEKS for the STAAR

E L P S TA R SAM A N O I T A C U MATH D E ! Y L L Y L A L R A R . 9 9 . 888

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

NUMBERS, OPERATIONS, — AND —

QUANTITATIVE REASONING R

NUMBERS Numbers Operations 4 and OPERA Quantitative Re To the Teacher Mastering STAAR Math prepares students to succeed on the STAAR Math Test. The STAAR Math Test assesses the TEKS in the STAAR Reporting Categories. The program is organized into five books: • • • • •

Numbers, Operations, and Quantitive Reasoning Patterns, Relationships, and Algebraic Reasoning Geometry and Spatial Reasoning Measurement Probability and Statistics

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

Each TEKS 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: Draw a Picture or Diagram STER. Make a Chart or List, Graph, Sort Data A M E ACKLIN Use Manipulatives or Act Out L B A S NOT OK TO BE Write a Number Sentence, Use Ratio or Proportion I T I . GHTED OR THIS BO I Use a Formula or Rule R Y P CO IVEN F Y WAY. Make it Simpler BOOK IS G T O MPLE SSION IS N UCED IN AN A Make IEstimates S S I D TH PERM Look for a Pattern REPRO In the Independent Practice section, students respond to four math problems for each TEKS on their own. After each TEKS, students can write in a two-page math journal. This journal is where students can show their work and answer questions about the TEKS they have just learned. ISBN 978-1-4204-6336-1 R 6336-1 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 .

4 QUANTIT easoning ATIONS Numbers Operations and Contents TEKS (7.1) . . . . . . . . . . . . . . . 4

TEKS (7.2) . . . . . . . . . . . . . . 22

TEKS Skill

Guided Practice

Independent Practice

(B) Readiness . . . . . 5 . . . . . . . . 6 (A) Supporting. . . . 10 . . . . . . . 11 (C) Supporting. . . . 17 . . . . . . . 18

Guided Practice

(B) Readiness. . . . . 23 (F) Readiness . . . . . 28 (A) Supporting. . . . 33 (C) Supporting. . . . 38 (D) Supporting. . . . 44 (E) Supporting. . . . 49 (G) Supporting. . . . 54

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

Independent Practice

. . . . . . . 24 . . . . . . . 29 . . . . . . . 34 . . . . . . . 39 . . . . . . . 45 . . . . . . . 50 . . . . . . . 55

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

3 ÂŠ 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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re

TEKS (7.1) The student represents and uses numbers in a variety of equivalent forms.

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

(B) Readiness . . . . . . . . . . . . . . . . . . . . . . 5 (A) Supporting . . . . . . . . . . . . . . . . . . . . 10 (C) Supporting . . . . . . . . . . . . . . . . . . . . 17

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

4 © 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 QUANTIT easoning ATIONS Numbers Operations and Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (7.1) The student represents and uses numbers in a variety of equivalent forms. (B) Readiness. The student is expected to convert between fractions, decimals, whole numbers, and percents mentally, on paper, [or with a calculator].

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

2 1 Mr. McEvoy said that of the people in his neighborhood were at the pool last 5 2 weekend. Which decimal and percent are equivalent to ? 5

HINT

Draw a Picture or Diagram. Draw a 10-by-10 grid, and shade it to

ER.

2 MAST E N show . What decimal and percent does your model show? I L K 5 A BLAC

A B C

S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P O 0.4, 4% IVEN F Y WAY. K IS C G O T O O B 0.4, 40% MPLE SSION IS N UCED IN AN A S S I D TH 2.5% PERMI 0.25, REPRO

D 0.25, 25%

5 ÂŠ 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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re Independent Practice Directions: Solve the problems on your own. 3 2 Ms. Becker said that of the teachers at school bring their own lunch. 8 3 Which decimal and percent are equivalent to ? 8 F 0.125, 12.5% G 0.375, 37.5% H 0.38, 38%

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

J 0.83, 83%

8 3 Mr. Dieters said that of the cars in the parking lot are red. Which decimal 25 8 and percent are equivalent to ? 25

STER. A M E ACKLIN L 0.48, 48% B A S NOT OK TO BE I T 0.825, 82.5% I . GHTED OR THIS BO I R Y 3.125, 31.25% 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 0.32, 32% B C D

6 ÂŠ 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 QUANTIT easoning ATIONS Numbers Operations and 3 4 Mrs. Heidenrich said that of the birds in the sanctuary are owls. Which 40 3 decimal and percent are equivalent to ? 40 F 0.75, 75% G 0.34, 34% H 0.075, 7.5% J 0.034, 3.4%

9 5 Miss Roberts said that of the people at the gym are over the age of 40. 20 9 Which decimal and percent are equivalent to ? 20

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

A 0.222, 22.2% B 0.29, 29% C 0.45, 45% D 0.92, 92%

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

7 ÂŠ 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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re Choose One: • Write directions for how to solve one of the practice problems. • What questions would you like to ask your teacher to help you better understand the math you have just learned?

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

8 © 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 QUANTIT easoning ATIONS Numbers Operations and Choose One: • Write two math problems that are similar to the ones you have just solved. • What is something you would like to do or learn about in math class?

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

9 © 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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (7.1) The student represents and uses numbers in a variety of equivalent forms. (A) Supporting. The student is expected to compare and order integers and positive rational numbers.

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

1 The table shows several schools and the portion of their students that ride a bus to school.

School Transportation

School

Portion of Students that Ride a Bus to School

Center

35.6%

1 STER. 5 A M E CKLIN 2 A L B A North 3 IS NOT O BE T T K I O . GHTED 21OR THIS BO South COPYRI F K IS AY. GIVEN50 East

BOO E L S NOT ED IN ANY W I P M N A O I S West ISS DUC 35.9% THIS PERM REPRO

Which of the following lists the schools in order from least to greatest portion of the students that ride a bus to school?

HINT Make it Simpler. Convert all the numbers to percents to make them easier to compare.

A North, West, Center, South, East B North, South, West, Center, East C East, South, Center, West, North D East, Center, West, South, North

10 ÂŠ 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 QUANTIT easoning ATIONS Numbers Operations and Independent Practice Directions: Solve the problems on your own. 2 The table shows several stores and the portion of their sales that comes from the meat and seafood counter.

Store Sales Store

Portion of Sales that Comes from Meat and Seafood Counter

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 25.7%

Bargain Grocers Foodland

1 4

Tasty Eats

57.2% 2 3 2 5

Megamart

STER. A M E Louie’s ACKLIN L B A S NOT OK TO BE I T I . EDorder from BO to greatest portion of Which of the following lists the stores GHTin HISleast I T R Y R P O CO meat and N F counter? the sales that comes from IVEseafood K ISthe AY. G O W T O Y O B N N E A L AMP D IN Eats, Megamart F Foodland, Grocers, ION IS Louie’s, ETasty S C S U I D M THIS S Bargain O P ER REPRBargain Grocers, Tasty Eats G Foodland, Megamart, Louie’s, H Megamart, Tasty Eats, Louie’s, Bargain Grocers, Foodland J Tasty Eats, Bargain Grocers, Louie’s, Megamart, Foodland

11 © 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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re 3 The table shows several towns and the portion of their population that is under age 15.

Populations Town

Portion of Population Under Age 15

Arborville

41.2%

Franktown

13.6%

Monument

3 8 1 2

Springfield

61%

Kestler

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

Which of the following lists the towns in order from least to greatest portion of the population under age 15?

STER. A M E ACKLIN L Springfield, Arborville, Franktown, Kestler, Monument B A NOT O BE SSpringfield I T T Franktown, Kestler, Arborville, Monument, K I O . HTED RSpringfield GArborville, HIS BO I T R Y Monument, Kestler, Franktown, P O 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 Springfield, Monument, Arborville, Kestler, Franktown B C D

12 ÂŠ 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 QUANTIT easoning ATIONS Numbers Operations and 4 The table shows several towns and the portion of their population that is over age 55.

Populations Town

Portion of Population Over Age 55

Bennett

20.4% 1 5

Eagle

5.6%

Fairfield

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 7 25 9 50

Newtown

Ridgeway

Which of the following lists the towns in order from least to greatest portion of the population over age 55?

STER. A M E ACKLIN L Fairfield, Ridgeway, Eagle, Bennett, Newtown B A IS NOT OOK TO BE T Eagle, Fairfield, Newtown, Ridgeway,DBennett I . GHTE Eagle HIS B I T R Y R Bennett, Ridgeway, Newtown, Fairfield, P O 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

F Newtown, Bennett, Eagle, Ridgeway, Fairfield G H J

13 ÂŠ 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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re 5 The table shows several gardeners and the portion of their vegetable garden that is tomatoes.

Vegetable Gardens Gardener

Portion of Vegetable Garden that is Tomatoes

Carrie

30.4%

Lora

42.8%

Peyton

3 8 4 9

Shauna

29.6%

Mitchell

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

Which of the following lists the gardeners in order from least to greatest portion of the vegetable garden that is tomatoes?

STER. A M E ACKLIN L Lora, Shauna, Peyton, Mitchell, Carrie B A S NOT OK TO BE I Peyton, Lora, Mitchell, Carrie, Shauna T I . HTED R THIS BO GPeyton I R Y Shauna, Carrie, Mitchell, Lora, P CO N FO 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 Carrie, Mitchell, Peyton, Shauna, Lora B C D

14 ÂŠ 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 QUANTIT easoning ATIONS Numbers Operations and Choose One: • Write directions for how to solve one of the practice problems. • What questions would you like to ask your teacher to help you better understand the math you have just learned?

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

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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re Choose One: • Write two math problems that are similar to the ones you have just solved. • What is something you would like to do or learn about in math class?

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

16 © 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 QUANTIT easoning ATIONS Numbers Operations and Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (7.1) The student represents and uses numbers in a variety of equivalent forms. (C) Supporting. The student is expected to represent squares and square roots using geometric models.

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

1 The model below can be used to represent the area of a square with a side length of √16 units.

STER. A M E ACKLIN L B A O BE S NOofTthis Osquare? I T T K I What is another way to represent the side length . GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O HINT T O O B N PLE Count INofANcircles used to model the MOut. N IStotal A D O I S E Act it the number S C S S U I I TH PERMnumberRrepresents EPROD the area of the square. Then, count square. That the number of circles used to make each side of the square to answer the question.

A 64 B √6 4 C 4 D √4

17 © 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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re Independent Practice Directions: Solve the problems on your own. 2 The model below can be used to represent the area of a square with a side length of √36 units.

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

What is another way to represent the side length of this square? F √6 G 6 H √2 1 6

STER. A M E J 216 ACKLIN L B A S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P The model below can be used the area of a square with a side O to represent IVEN F Y WAY. K IS C G O T O length of √49 units. O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

What is another way to represent the side length of this square? A 343 B √343 C 7 D √7

18 © 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 QUANTIT easoning ATIONS Numbers Operations and 4 The model below can be used to represent the area of a square with a side length of √121 units.

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

What is another way to represent the side length of this square? F 11 G √1 1 H 132 J √1 3 2

STER. A M E ACKLIN L B A BE NOT O with Sarea I T T K I O . The model below can be used to represent the of a square a side BO TED S H I G H I T R length of √81 units. COPY GIVEN FOR S I K AY. O W T O Y O B N N E A L AMP D IN ON IS THIS S PERMISSI EPRODUCE R

What is another way to represent the side length of this square? A 8 B √8 C 9 D √9

19 © 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

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 .

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

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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re

TEKS (7.2) The student adds, subtracts, multiplies, or divides to solve problems and justify solutions.

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

(B) Readiness . . . . . . . . . . . . . . . . . . . . . 23 (F) Readiness. . . . . . . . . . . . . . . . . . . . . . 28 (A) Supporting . . . . . . . . . . . . . . . . . . . . 33 STER. A M E (C) Supporting . . . . . . . . . . . . . . . . . . .B.L38 ACKLIN A (D) Supporting . . . . . . . . . .IT. .IS. .N.O.T. . . . 44 O BE T K O . D O (E) Supporting. . Y. R. I.G.H.T.E. . . . . . .T.H.IS. .B. . 49 R P O CO NF (G) Supporting . .A.Y.. . 54 OOK IS . . . .T. G. I.V.E. . . . . . . W

PLE B SION IS NO CED IN ANY M A S IS DU THIS PERM REPRO

22 ÂŠ 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 QUANTIT easoning ATIONS Numbers Operations and Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (7.2) The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. (B) Readiness. The student is expected to use addition, subtraction, multiplication, and division to solve problems involving fractions and decimals.

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

1 Jonas wants to save $97.50 to buy a special gift for his mother. He has 13

weeks to save the money. If he wants to save the same amount each week, how much money, in dollars and cents, must Jonas save each week? HINT Write a Number Sentence. Divide the total amount of money by the number of weeks to find the answer. ER.

MAST E N I L BLACK E A T O N TO B TBeISsure K I O . D O Record your answer and fill in the bubbles. to use the correct E B IS GHT H I T R Y R P O place value. 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 0

23 ÂŠ 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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re Independent Practice Directions: Solve the problems on your own. 2 Amanda wants to save $117.00 to buy a DVD player. She has 12 weeks to save the money. If she wants to save the same amount each week, how much money, in dollars and cents, must Amanda save each week? Record your answer and fill in the bubbles. Be sure to use the correct place value.

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 Ricky wants to save $80.75 Fgift for hisY.father. He has 19 weeks IS CtoO buy Ta Gspecial VENsame Ithe K wants O O Y WA each week, how much to save the money. If he to save amount O B N N E A L S I P N I M A D each week? SION must ORicky money, andIScents, UCEsave D THISinSdollars R P PERM RE 8

Record your answer and fill in the bubbles. Be sure to use the correct place value.

24 ÂŠ 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 QUANTIT easoning ATIONS Numbers Operations and 4 Gina wants to save $91.70 to buy a pair of concert tickets. She has 14 weeks to save the money. If she wants to save the same amount each week, how much money, in dollars and cents, must Gina save each week? Record your answer and fill in the bubbles. Be sure to use the correct place value.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 6

5 Cooper wants to save $82.53 to buy a new skateboard. He has 9 weeks to save the money. If he wants to save the same amount each week, how much money, TER. in dollars and cents, must Cooper save each week? E MAS

CKLIN A L B A Record your answer and fill in the bubbles. Be sure to use the correct S NOT OK TO BE I T I place value. . 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 0

25 ÂŠ 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

26 © 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

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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (7.2) The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. (F) Readiness. The student is expected to select and use appropriate operations to solve problems and justify the selections.

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

1 Marty bought 28 party hats priced at 4 for $0.85 and 42 noisemakers

priced at 7 for $1.15. What was the total cost of the hats and noisemakers, not including tax? HINT Look for a Pattern. Think, “4 hats for $0.85, 8 hats for $1.70, 12 hats for $2.55,” and so on until you get to 28 hats. Do the same for noisemakers—7 for $1.15, 14 for $2.30, and so on until you get . TERto S A M E 42 noisemakers. Add to find the total cost, not including KLIN tax.

A B C

BLAC A T O O BE SN I T T K I O . GHTED OR THIS BO I R Y P O $11.45 IVEN F Y WAY. K IS C G O T O O B $12.85 MPLE N IS N UCED IN AN A O I S S S S I I D TH $72.10 PERM REPRO

D $83.00

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 .

4 QUANTIT easoning ATIONS Numbers Operations and Independent Practice Directions: Solve the problems on your own. 2 Lora bought 30 plastic rings priced at 5 for $0.95 and 48 whistles priced at 6 for $1.20. What was the total cost of the rings and whistles, not including tax? F $11.95 G $15.30 H $86.10 J $89.95

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

3 Roland bought 27 stickers priced at 9 for $0.98 and 36 glue sticks priced at 4 for $1.19. What was the total cost of the stickers and glue sticks, not including tax? A $13.58 B $13.65

STER. A M E $33.17 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

C $15.17 D

29 ÂŠ 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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re 4 Renee bought 32 pencils priced at 4 for $0.82 and 24 erasers priced at 3 for $0.78. What was the total cost of the pencils and erasers, not including tax? F $5.62 G $8.60 H $12.80 J $44.96

5 Jason bought 35 golf tees priced at 5 for $1.05 and 45 score cards priced at 9 for $1.35. What was the total cost of the golf tees and score cards, not including tax? A $14.10 B $14.70 C $17.10 D $17.40

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

30 ÂŠ 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

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 .

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

32 © 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 QUANTIT easoning ATIONS Numbers Operations and Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (7.2) The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. (A) Supporting. The student is expected to represent multiplication and division situations involving fractions and decimals with models including [concrete objects,] pictures, words, and numbers.

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

1 Doreen works at a bank and earns $8.75 per hour. If Doreen works 25 hours each week, which expression could be used to determine her total earnings for 1 year?

HINT Make it Simpler. First use words to describe the amount of money TER. S A M E Doreen will earn in a year. Then use numbers to write CKLINthe expression A L B A based on the words you wrote. BE NOT

A B

. IT IS IS BOOK TO D E T H G H OPYRI IVEN FOR T Y. C S I OT G IN ANY WA BOOK N E 8.75 25 L S I P M A SION UCED D THIS S 40 P52 O 8.75 R ERMIS P RE

C 8.75 25 40 D 8.75 25 52

33 ÂŠ 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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re Independent Practice Directions: Solve the problems on your own. 2 Dave works at a carwash and earns $7.25 per hour. If Dave works 15 hours each week, which expression could be used to determine his total earnings for 1 year? F 7.25 15 52 G 7.25 15 40 H 7.25 15 J 7.25 52

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

3 Shelley works at a childcare center and earns $10.50 per hour. If Shelley works 30 hours each week, which expression could be used to determine her total earnings for 1 year? A 10.5 30 40

STER. A M E 10.5 40 50 ACKLIN L B A 10.5 40 52 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

B 10.5 30 52 C D

34 ÂŠ 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 QUANTIT easoning ATIONS Numbers Operations and 4 Ian works at a music store and earns $9.50 per hour. If Ian works 25 hours each week, which expression could be used to determine his total earnings for 1 year? F 9.5 25 25 G 9.5 52 52 H 9.5 25 52 J 9.5 40 52

5 Erika works at a restaurant and earns $5.25 per hour. If Erika works 18 hours each week, which expression could be used to determine her total earnings for 1 year?

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

A 5.25 18 B 5.25 35

C 5.25 18 52

D 5.25 35 52

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

35 ÂŠ 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

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 .

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

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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (7.2) The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. (C) Supporting. The student is expected to use models, such as [concrete objects,] pictorial models, and number lines, to add, subtract, multiply, and divide integers and connect the actions to algorithms.

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

1 A newspaper gains and loses subscribers daily, as some people subscribe

and other people cancel their subscriptions. The table below shows the subscriptions and cancellations for a newspaper during the first two months of the year.

Subscriptions

Month January February

New Subscriptions 45 120

Cancellations STER. A M E 20 CKLIN A BLA BE T 76 O N O S

OK T . IT I D O E B T S H I G PYRIwith OR TH . which expression can be Oyear F C If the newspaper startedISthe sEsubscriptions, N V Y I Ahad Gthe OKsubscriptions W T O Y O B used to find how many newspaper at the end of the twoN N E A L IN MP N IS A D O I S E S C S S U I month period? I D TH PERM REPRO HINT Make a List. List the increases in the number of subscriptions (new subscriptions) as positive integers and the decreases in the number of subscriptions (cancellations) as negative integers. Add to find the number of subscriptions at the end of the two-month period.

A s + 45 + 20 + 120 + 76 B s + 45 + (–20) + 120 + (–76) C s + (–45) + (–20) + (–120) + (–76) D s + (–45) + 20 + (–120) + 76

38 © 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 QUANTIT easoning ATIONS Numbers Operations and Independent Practice Directions: Solve the problems on your own. 2 A health club gains and loses members monthly, as some people join and other people end their memberships. The table below shows the number of people who joined and ended their membership at a health club during the first two months of the year.

Memberships People Who Ended Their Membership 29 35

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

Month January February

People Who Joined 128 89

If the health club started the year with m members, which expression can be used to find how many members the health club had at the end of theStwoTER. A M E month period? CKLIN F G H J

A BLA BE T O N m + 128 + (–29) + 89 + (–35) . IT IS IS BOOK TO D E T H G H m + (–128) + (–29) + (–89) P+Y(–35) O RI IVEN FOR T Y. C S I m + 128 + 29 +BO 89OK + 35 OT G IN ANY WA N E L S I P M SA + 29M+IS(–89) SION+ 35 ODUCED m TH+IS(–128) P ER REPR

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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re 3 A DVD rental club gains and loses subscribers daily, as some people subscribe and other people cancel their subscriptions. The table below shows the subscriptions and cancellations for a DVD rental club during the first two months of the year.

Subscriptions Month January February

New Subscriptions 157 193

Cancellations 124 105

If the DVD rental club started the year with s subscriptions, which expression can be used to find how many subscriptions the club had at the end of the twomonth period?

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

A s + 157 + 124 + 193 + 105

B s + (–157) + (–124) + (–193) + (–105) C s + (–157) + 124 + (–193) + 105

D s + 157 + (–124) + 193 + (–105)

STER. A M E LIN subscribe ACKpeople A book swap club gains and loses subscribers daily, as some L B A OT below Tshows and other people cancel their subscriptions.TThe O BE the S Ntable I K I O . BO the first two TED swap club subscriptions and cancellations forIGaHbook HIS during T R Y R P O O months of the year. 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 Subscriptions D TH PERM REPRO Month January February

New Subscriptions 21 78

Cancellations 83 66

If the book swap club started the year with s subscriptions, which expression can be used to find how many subscriptions the club had at the end of the twomonth period? F s + 21 + 83 + 78 + 66 G s + (–21) + (–83) + (–78) + (–66) H s + (–21) + 83 + (–78) + 66 J s + 21 + (–83) + 78 + (–66)

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 .

4 QUANTIT easoning ATIONS Numbers Operations and 5 A cable TV provider gains and loses subscribers daily, as some people subscribe and other people cancel their subscriptions. The table below shows the new subscribers and cancellations for a cable TV provider during the first two months of the year.

Subscribers Month January February

New Subscribers 320 332

Cancellations 341 321

If the cable TV provider started the year with s subscribers, which expression can be used to find how many subscribers the club had at the end of the twomonth period?

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

A s + 320 + 341 + 332 + 321

B s + 320 + (–341) + 332 + (–321)

C s + (–320) + (–341) + (–332) + (–321) D s + (–320) + 341 + (–332) + 321

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 .

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

42 © 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

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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (7.2) The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. (D) Supporting. The student is expected to use division to find unit rates and ratios in proportional relationships such as speed, density, price, recipes, and student-teacher ratio.

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

1 Daisy bought four roses for $7.85. Which is closest to the amount Daisy

paid for each rose?

HINT Make Estimates. Round to the nearest dollar to estimate the amount paid for each rose, then choose the answer that is closest to your estimate. TER.

A B C D

E MAS N I L K C A BLA BE T O N . IT IS IS BOOK TO D E $1.76 T H G H OPYRI IVEN FOR T Y. C S $1.96 I K A E BOO N IS NOT G IN ANY W $2.36 SAMPL ISSIO PRODUCED HIS T$2.66 PERM RE

44 ÂŠ 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 QUANTIT easoning ATIONS Numbers Operations and Independent Practice Directions: Solve the problems on your own. 2 Stefan bought a dozen potatoes for $3.85. Which is closest to the amount Stefan paid for each potato? F $0.32 G $0.42 H $0.52 J $0.62

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

3 Denequa bought fifteen bagels for $5.75. Which is closest to the amount Denequa paid for each bagel? A $0.38 B $0.46

STER. A M E $0.66 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

C $0.58 D

45 ÂŠ 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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re 4 Tom bought eight scones for $6.60. Which is closest to the amount Tom paid for each scone? F $0.72 G $0.83 H $0.94 J $1.05

5 Jessica bought nine muffins for $7.05. Which is closest to the amount Jessica paid for each muffin? A $0.88 B $0.78 C $0.68 D $0.58

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

46 ÂŠ 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

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 .

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 .

4 QUANTIT easoning ATIONS Numbers Operations and Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (7.2) The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. (E) Supporting. The student is expected to simplify numerical expressions involving order of operations and exponents.

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

1 What is the value of the expression below? 16 + 3 · 62 ÷ 4

HINT Use a Formula or Rule. Follow the correct order of operations to evaluate the expression: 1. Parentheses STER. 2. Exponents A M E ACKLIN 3. Multiply and Divide L B A BE NOT 4. Add and Subtract OK TO . IT IS

A B

GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B PLE N IS N UCED IN AN O I 43HIS SAM S S I D T PERM REPRO 97

C 171 D 3,249

49 © 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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re Independent Practice Directions: Solve the problems on your own. 2 What is the value of the expression below? 9 + 7 · 42 ÷ 8 F 171 G 107 H 32 J 23

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

3 What is the value of the expression below?

7 + 3 · 122 ÷ (9 + 7)

A 167

STER. A M E 62 ACKLIN L B A 34 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

B 90 C D

50 © 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 QUANTIT easoning ATIONS Numbers Operations and 4 What is the value of the expression below? 76 + 38 2 – 42 3 F 26 G 47 H 64 J 123

5 What is the value of the expression below? 81 + 54 9 – 23 5 A 35 B 40 C 47 D 87

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

51 © 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

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 .

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

53 © 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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (7.2) The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. (G) Supporting. The student is expected to determine the reasonableness of a solution to a problem.

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

1 A school district hired a speaker to present some information for career

day to the middle school students in the district. The speaker used the following information to estimate the total number of students who will attend the presentation. • There are 4 middle schools.

STER. A M E • There are 30–35 students in each homeroom class. ACKLIN L B A S NOT OK TO BE I T I . What is the best estimate of the total of students ED GHTnumber HIS BO who will attend I T R Y R P the presentation? O O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S HINT S I TH RMI E P EPRODfacts and patterns with zeroes to make Make Estimates. UseRbasic

• There are 15–20 homeroom classes in each middle school.

an estimate. 4 schools about 20 homeroom classes each = about __ classes in all __ classes about 30 students in each = about __ students total

A 600 B 800 C 1,200 D 2,400

54 © 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 QUANTIT easoning ATIONS Numbers Operations and Independent Practice Directions: Solve the problems on your own. 2 A school district hired a scientist to present some information about the science fair to the middle school students in the district. The scientist used the following information to estimate the total number of students who will attend the presentation. • There are 3 middle schools.

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

• There are 40–45 homeroom classes in each middle school. • There are 25–30 students in each homeroom class.

What is the best estimate of the total number of students who will attend the presentation? F 3,600

TER. S A M E H 360 ACKLIN L B A J 120 S NOT OK TO BE I T I . GHTED OR THIS BO I R Y P NF IS CO state IVEcapitol. AY. used the following G O W A school districtEtook aKtrip to the The capitol T O Y O B N N A L IS number AMP information the ION total ED ofINstudents who will be visiting. S C S U I D M THIS S to estimate O P ER REPR G 1,200

• There are 5 middle schools. • There are 15–20 busses coming from each middle school. • There are 55–60 students in each bus. What is the best estimate of the total number of students who will visit the capitol? A 180 B 600 C 1,800 D 6,000

55 © 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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re 4 A hotel chain hired a speaker to do some employee training. The speaker used the following information to estimate the total number of employees who will attend the presentation. • There are 2 districts participating. • There are 35–40 hotels in each district. • There are 20–25 employees in each hotel. What is the best estimate of the total number of employees who will attend the training? F 800 G 1,600 H 8,000 J 16,000

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

5 A restaurant chain hired a chef to present some information to its employees. The chef used the following information to estimate the total number of R. employees who will attend the presentation. MASTE

LINE K C A L OT A B TO BE • The chain has restaurants in 5 states. N S I D. IT BOOK S I GHTEstate. H I T • There are 10–15 restaurantsPY inReach CO N FOR S E I V I K AY. G O W T O Y O B • There are 35–40 employees in each restaurant. N N E A L AMP D IN ON IS THIS S PERMISSI EPRODUCE What is the best estimate ofRthe total number of employees who will attend the presentation? A 6,000 B 2,000 C 600 D 200

56 © 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

57 © 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

58 © 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 QUANTIT easoning ATIONS Numbers Operations and

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

59 © 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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re

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

60 © 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 QUANTIT easoning ATIONS Numbers Operations and

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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re

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 .

4 QUANTIT easoning ATIONS Numbers Operations and

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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re

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

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

E L P S TA SAM AAR N O I T C U MATH D E ! Y L RAL 99.RALLY . 8 8 8

STER. A M E CKLIN A L B A Mastering STAAR Math: Applying the Readiness and Supporting for the STAAR O BETEKS S NOTTEKS I T T K I prepares students for the STAAR Math test. Each book focuses on a different O . BO GHTEDis oneOguided HISpractice I T R Reporting Category assessed on the test. There problem and Y R P F CO N that S E I . V Y I K A G four independent practice problems for each TEKS will be assessed on the STAAR. O YW OT BO N N E A L S I P N I M SA instructional SION UCEDproblem solving. Students are taught The series inDmath THISprovides O R ERMIS practice P P RE several different problem-solving strategies. Each of the 5 TEKS Reporting Categories are in a separate book: • • • • •

Numbers, Operations, and Quantitive Reasoning Patterns, Relationships, and Algebraic Reasoning Geometry and Spatial Reasoning Measurement Probability and Statistics