Staar math d numbers sample by RALLY! Education

Applying the Readiness and Supporting TEKS for the STAAR

STAAR LE MATH AMP

S N O I T A C U D E ! Y RALL 99.RALLY . 8 8 8 NUMBERS,

TED. H G I R COPY ER. S I K O BO AST M E L E P N I M B A KL THIS S OT A BLAC N FOR THIS IT IS N S NOT GIVE ANY WAY IN NI — AND — PERMISSIO EPRODUCED R TO BE

OPERATIONS,

QUANTITATIVE REASONING R

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 SAM ATION C U D E ! Y L Y L L RAL A S TA R A R . 9 9 . 8 8 8 MATH

TED. H G I R COPY ER. S I K O BO AST M E L E P N I M BOOK L A K S S C I A S H I L T TH OT A B GIVEN FOR N S I AY. W IT T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

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 Make a Chart or List, Graph, Sort Data Work Backwards Use Manipulatives or Act Out Write a Number Sentence, Use Ratio or Proportion HTED. G Use a Formula or Rule Guess and Y Check I R COP ISEstimates Make it Simpler Make K O O STER. OK B A M E L E P Look for a Pattern S SAM ACKLIN HIS BO

THI

A BL OR T T F O N N E V S I AY. math problems In the Independent Practice Isection, students G respondNYtoWfour TI T O N A S for each TEKS on their own. ISSION I CED IN U D M O R PR PE BE REin a two-page math journal. This journal is After each TEKS, students can TOwrite where students can show their work and answer questions about the TEKS they have just learned.

ISBN 978-1-4204-6315-6 R 6315-6 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. 0711.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 (4.1) . . . . . . . . . . . . . . . 4

TEKS (4.4) . . . . . . . . . . . . . . 53

TEKS Skill

Guided Practice

Independent Practice

(B) Readiness . . . . . 5 . . . . . . . . 6 (A) Supporting. . . . 11 . . . . . . . 12

(D) Readiness. . . . . 54 (E) Readiness. . . . . 59 (A) Supporting. . . . 64 (B) Supporting. . . . 72 (C) Supporting. . . . 77

TEKS (4.2) . . . . . . . . . . . . . . 16 TEKS Skill

Guided Practice

Independent Practice

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

(D) Readiness. . . . . 17 (A) Supporting. . . . 22 (B) Supporting. . . . 29 (C) Supporting. . . . 35

. . . . . . . 18 . . . . . . . 23 . . . . . . . 30 . . . . . . . 36

Independent Practice

. . . . . . . 55 . . . . . . . 60 . . . . . . . 66 . . . . . . . 73 . . . . . . . 78

TEKS (4.5) . . . . . . . . . . . . . . 82

TEKS Skill

Guided Practice

Independent Practice

(A) Supporting. . . . 83 . . . . . . . 84 (B) Supporting. . . . 90 . . . . . . . 91

TEKS (4.3) . . . . . . . . . . . . . . 42 TEKS Skill

Guided Practice

Independent Practice

(A) Supporting. . . . 43 . . . . . . . 44 (B) Supporting. . . . 48 . . . . . . . 49

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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 N N

TEKS (4.1) The student uses place value to represent whole numbers and decimals.

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

(B) Readiness . . . . . . . . . . . . . . . . . . . . . . 5 (A) Supporting . . . . . . . . . . . . . . . . . . . . 11

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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 .

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

TEKS (4.1) The student uses place value to represent whole numbers and decimals. (B) Readiness. The student is expected to use place value to read, write, compare, and order decimals involving tenths and hundredths, including money, using [concrete objects and] pictorial models.

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

1 The model is shaded to show which decimal?

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA HINT THI A OR TH . T F O N N E V S I G Each completely-shaded Make a Chart. Look grid WAY IT I at theS model. T Y O N N A I N I N represents a one, Ieach column UCED represents a tenth, and each D M SSIO shaded O R R E P P E Rrepresents individual shaded square a tenth. Make a place-value chart TO BE

with columns for ones, tenths, and hundredths, and fill in the chart to match what the model represents.

A B C D

0.34 0.43 3.4 4.3

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. 2 The model is shaded to show which decimal?

F 0.217 G 2.17 H 2.71 J 2.83

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

HTED. G I R Y The model is shaded to show which decimal? IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

A B C D

0.94 0.60 0.16 0.06

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 4 Each picture below shows an amount of money that could be written in dollars and cents. For which amount of money would the digit 5 represent five cents?

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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 5 Each picture below shows an amount of money that could be written in dollars and cents. For which amount of money would the digit 6 represent sixty cents?

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

8 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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 .

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

TEKS (4.1) The student uses place value to represent whole numbers and decimals. (A) Supporting. The student is expected to use place value to read, write, compare, and order whole numbers through 999,999,999.

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

1 The table below shows the number of football tickets sold at a stadium in the years 2005 through 2008.

Football Tickets Sold

Year

Number of Tickets

2005

2006

2007

2008

1,885,700

1,816,566

1,085,368

1,008,762

. Y IS COP STER. K O O HINT PLE B CKLINE MA IS BOOK M A S A S I List. Make TH and record the digits BaLplace-value THof A Make a Chart ORchart T F O N N E V S I G in the appropriate WAY. column of the IT IfootballS tickets T of each number of Y O N N A IN the greatest number. N Ito rightUto SIOleft CEDfind S chart. CompareRM from I D O PE REPR TO BE

In which year were the most football tickets R sold? IGHTED

A B C D

2005 2006 2007 2008

11 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 The table below shows the number of visitor transportation system rides at Grand Canyon National Park in the years 1994 through 1997.

Visitor Transportation System Rides Year Number of Rides

1994

1995

1996

1997

2,139,350

2,055,000

2,031,092

2,350,123

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

In which year were there the most rides? F 1994 G 1995 H 1996 J 1997

HTED. G I R Y The table below shows the heights of S COPmountains Isome K ER. in the Himalayas. O T O S B A M E BOOK AMPL BLACKLINE S S I S H I T H T Himalayan A Mountains OR IS NOT OT GIVEN F Y WAY. T I Mountain Dunagiri Trisuli IN AN Pauhunri N IS N Kangto D O I E S C S U I M Height (in feet) PER 23,184 23,385 23,210 EPROD23,260 R E B TO Which mountain is the highest? A B C D

Dunagiri Kangto Pauhunri Trisuli

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 below shows the land area of four states in the United States.

Land Area State Area (in square miles)

Kentucky

Ohio

Tennessee

Virginia

40,411

44,828

42,146

42,769

Which state is the largest? F G H J

Kentucky Ohio Tennessee Virginia

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

5 The table below shows the number of visitors to a theme park in the years 2005 through 2008.

Theme Park Visitors

Year

2005

2006

2007

TED. H1,051,894 G I R Number of Visitors 1,015,984 1,105,948 Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S In which year did the most peopleBLvisit A the theme S TH park? THI R A O T F O N IT IS N S NOT GIVE ANY WAY. A 2005 SION I ODUCED IN S I B 2006 M R PE REPR C 2007 TO BE

2008 1,150,948

D 2008

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 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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 .

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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

TEKS (4.2) The student describes and compares fractional parts of whole objects or sets of objects.

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

(D) Readiness . . . . . . . . . . . . . . . . . . . . . 17 (A) Supporting . . . . . . . . . . . . . . . . . . . . 22 (B) Supporting . . . . . . . . . . . . . . . . . . . . 29 (C) Supporting . . . . . . . . . . . . . . . . . . . . 35

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

16 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 (4.2) The student describes and compares fractional parts of whole objects or sets of objects. (D) Readiness. The student is expected to relate decimals to fractions that name tenths and hundredths using [concrete objects and] pictorial models.

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

15 1 The model is shaded to represent 2

. 100

HTED. G I R Y IS COP STER. K O O B What decimal does the model PLErepresent? NE MA HIS BOOK I M L A K S C A S THI A BL OR T T F O N N E V S I HINT G WAY. IT I T Y O N N A S Write a Number Sentence. ED IN that is completed shaded SION I Each Cmodel S U I D M O R E otherE model PR represents 1.PThe B RE represents 15 hundredths, or 0.15. O T 1 1 0.15 ? A B C D

0.215 2.15 21.5 215.0

17 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. 40 2 The model is shaded to represent 2

. 100

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

What decimal does the model represent? F G H J

0.204 0.240 2.04 2.40

HTED. G I R Y IS COP STER. K O O PLE B 9CKLINE MA IS BOOK M A S The model is shaded to represent

. S L1A00 B3

THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

What decimal does the model represent? A B C D

3.90 3.09 0.390 0.309

18 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 75 4 The model is shaded to represent 3

. 100

What decimal does the model represent? F G H J

375.0 37.50 3.75 0.375

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

54 5 The model is shaded to represent 2

. 100

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

What decimal does the model represent? A B C D

254.0 25.40 2.54 0.254

19 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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

TEKS (4.2) The student describes and compares fractional parts of whole objects or sets of objects. (A) Supporting. The student is expected to use [concrete objects and] pictorial models to generate equivalent fractions.

1 The model is shaded to represent a fraction.

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

Which model below shows an equivalent fraction?

HTED.

YRIG HINT P O C S R. out the shaded OK I TraceMand Use Manipulatives or Act STEcut BitOOut. A E L E P BOOK choices to find KLIN it to the S C I portion of theTHmodel Compare answer A H IS SAMabove. L T B OT A N FOR E V the model that shows fraction. I G WAY. IT IS Nan equivalent T S NO ED IN ANY I N O I UC ISS PERM BE REPROD TO

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 Independent Practice Directions: Solve the problems on your own. 2 The model is shaded to represent a fraction.

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

Which model below shows an equivalent fraction?

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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 3 The model is shaded to represent a fraction.

Which model below shows an equivalent fraction?

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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 .

4 QUANTIT easoning ATIONS Numbers Operations and 4 The model is shaded to represent a fraction.

Which model below shows an equivalent fraction?

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

25 © 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 model is shaded to represent a fraction.

Which model below shows an equivalent fraction?

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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 .

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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

TEKS (4.2) The student describes and compares fractional parts of whole objects or sets of objects. (B) Supporting. The student is expected to model fraction quantities greater than one using [concrete objects and] pictorial models.

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

1 The model is shaded to show which fraction?

HINT IGHTE R Y P O C and Ecut Use Manipulatives or Act itOOut. model, and K ISTrace O ST R. outOeach B A M E K L E P O M match Lthe shade your cut-outs shown Each model LIN ACKshading HIS Babove. IS SAto T H B T R A O F The model that is completely shaded Y. that is only IVENone. IS NOT represents A G T W I T Y O partially shaded represents written IN AN as the number of shaded N IS aNfraction D O I E S C S U I parts over the of equal RM PRODparts. PEnumber

RE TO BE

3 A

11 1 B 2

4 1 C 2

3 2 D 2

3 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 Independent Practice Directions: Solve the problems on your own. 2 The model is shaded to show which fraction?

1 F

7 1 G 3

2 2 H 3

3 1 J 4

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

30 © 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 The model is shaded to show which fraction?

3 A

27 1 B 4

6 1 C 4

2 3 D 5

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

4 The model is shaded to show which fraction?

1 F

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

3 G 2

5 2 H 2

5 2 J 2

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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re 5 The model is shaded to show which fraction?

2 A

17 2 B 3

5 3 C 3

5 1 D 8

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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 .

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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 .

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

34 © 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 (4.2) The student describes and compares fractional parts of whole objects or sets of objects. (C) Supporting. The student is expected to compare and order fractions using [concrete objects and] pictorial models.

1 The two pans of casserole below show what was left after several students finished eating.

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

Which of the following compares the portion of casserole D. left in each pan?

IGHTE R Y P O K IS C HINT O O STER. OK B A M E L E P N same-size AM Draw a PictureISorSDiagram. Draw ACKLItwo HIS BOrectangles, one L T B TH R A O OT top rectangle above the other. Divide IVEN F into AY. equal pieces. G Weight IT IS N the T Y O N N A S I twelveCEequal Divide the bottom one D IN pieces. Shade each rectangle SIONinto S U I D M O R to show the Psame in the picture above. Label each R E fractions REPshown E B O T rectangle with the fraction shaded, then compare.

3 4 A

8 12 3 4 B

8 8 3 4 C

5 8 3 4 D

12 12 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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re Independent Practice Directions: Solve the problems on your own. 2 The two pans of lasagna below show what was left after several students finished eating.

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

Which of the following compares the portion of lasagna left in each pan? 5 6 F

13 18 5 6 G

18 24 5 6 H

24 24 5 6 J

42 42

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

36 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 The two pans of meatloaf below show what was left after several students finished eating.

Which of the following compares the portion of meatloaf left in each pan? 3 2 A

36 36

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

17 14 B

20 16

3 2 C

20 16 3 2 D

17 14

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

37 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 The two pans of cornbread below show what was left after several students finished eating.

Which of the following compares the portion of cornbread left in each pan?

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

3 2 F

15 15 3 2 G

16 16 3 2 H

25 15 3 2 J

25 25

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

38 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 5 The two pans of pizza below show what was left after several students finished eating.

Which of the following compares the portion of pizza left in each pan? 3 4 A

9 11

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

4 3 B

12 9

3 4 C

12 16 3 4 D

12 15

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

39 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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 .

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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 .

NUMBERS Numbers Operations 4 and OPERA Quantitative Re

TEKS (4.3) The student adds and subtracts to solve meaningful problems involving whole numbers and decimals.

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

(A) Supporting . . . . . . . . . . . . . . . . . . . . 43 (B) Supporting . . . . . . . . . . . . . . . . . . . . 48

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

42 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 (4.3) The student adds and subtracts to solve meaningful problems involving whole numbers and decimals. (A) Supporting. The student is expected to use addition and subtraction to solve problems involving whole numbers.

1 The table below shows the number of points scored by Ana and Barb in 2 bowling games.

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

Game 1

Game 2

Ana

74 points

92 points

Barb

86 points

88 points

HTED. G I R Y How many more points in all did Barb score Ana? IS COP than . R K E O T O S B A M E L E P BOOK AM KLIN S S C I HINT A S H I L T H B T R T A column NtoFOthe E V Make it Simpler.ITAdd table, I IS NaOthird G WAY. titled, “Total.” T Y O N N A S Write each girl’s total N I in thisUCcolumn. ED IN Then compare their scores. SIOscore S I D M O R PE REPR TO BE A B C D

8 12 18 20

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 Independent Practice Directions: Solve the problems on your own. 2 The table below shows the number of points scored by Phil and Ed in 2 board games.

Board Games Phil

Game 1

Game 2

195 points

219 points

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

188 points

147 points

How many more points in all did Phil score than Ed? F G H J

7 17 72 79

HTED. G I R Y IS COP STER. K O O A OK A and The table below shows the number by PLE B ofCKpoints NE Mscored I M BOTeam L A S S I A S H I L T H B T of a game Team B during 2 parts OT A show. N FOR IT IS N S NOT GIVE ANY WAY. D IN SION I Game CEShow S U I D M O R PE REPR Part 2 TO BE Part 1 Team A

662 points

514 points

Team B

565 points

417 points

How many more points in all did Team A score than Team B? A B C D

97 148 194 296

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 4 The table below shows the number of sit-ups done by Team A and Team B during 2 days at the school health fair.

Sit-Ups Day 1

Day 2

Team A

857 sit-ups

603 sit-ups

Team B

723 sit-ups

549 sit-ups

How many more sit-ups in all did Team A do than Team B? F G H J

428 188 134 54

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

5 The table below shows the number of miles ridden by Group A and Group B during a 2-week bicycle trip.

D. IS CO STER. K O O A 2 OOK LE B 1 KLINE MWeek PWeek M A S C A S HIS B L T B THAI R A Group 201 miles 212 miles O OT IVEN F Y WAY. G T IS N I T O N ANmiles Group B 257 IN287 N ISmiles D O I E S C S U I PERM BE REPROD How many more miles TinO all did Group B ride than Group A? TE Bicycle P Trip YRIGH

A B C D

41 75 131 156

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 .

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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 .

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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 .

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

TEKS (4.3) The student adds and subtracts to solve meaningful problems involving whole numbers and decimals. (B) Supporting. The student is expected to add and subtract decimals to the hundredths place using [concrete objects and] pictorial models.

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

1 At the school store Melissa bought a package of paper for $1.67 and a package of blank DVDs for $2.25. What was the total amount she paid for school supplies?

HTED. G I R Y IS COP STER. K O O HINT PLE B CKLINE MA IS BOOK M A S S TH BLAcombining THIor Rule.OWhen Use a Formula decimals, first A OR(adding) T F N N E . V Y S I I A G T W I T 1. Then add the portions that are less and add the Y ANregroup S NOthan I N I N D O I E C whole numbers.MISS RODU P P ER E R TO BE A B C D

$3.82 $3.92 $4.92 $4.82

48 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 At the café Vance bought a bag of pretzels for $1.19 and a sandwich for $2.95. What was the total amount he paid for food?

F G H J

$1.76 $3.14 $3.84 $4.14

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

3 At the bookstore Renee bought a magazine forIG$2.45 HTED.and a birthday card R Y P COspent for $2.29. What was the total amountISshe atRthe . bookstore?

BOOK NE MASTE OOK E L P B AM KLI THIS S OT A BLAC N FOR THIS IT IS N S1NOT GIVE ANY WAY. SION I ODUCED IN S I M R PE REPR TO BE

A B C D

$4.47 $4.64 $4.74 $5.74

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 4 At the gift shop Parker bought a pen for $1.87 and a notepad for $3.23. What was the total amount he spent at the gift shop?

F G H J

$5.10 $5.00 $4.64 $4.46

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

5 At the fair Tracey bought corn on the cob for $1.75 and lemonade for $1.55. What was the total amount she spent at the fair?

A $2.30 B $2.20 C $3.30 D $4.20

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

50 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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 .

4 QUANTIT easoning ATIONS Numbers Operations and

TEKS (4.4) The student multiplies and divides to solve meaningful problems involving whole numbers.

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

(D) Readiness . . . . . . . . . . . . . . . . . . . . . 54 (E) Readiness . . . . . . . . . . . . . . . . . . . . . 59 (A) Supporting . . . . . . . . . . . . . . . . . . . . 64 (B) Supporting . . . . . . . . . . . . . . . . . . .E.D72 HT . (C) Supporting . . . . . . . . . . C.O. P. Y. R. I.G. . . . 77

K IS O O STER. OK B A M E L E P BO AM KLIN THIS S OT A BLAC N FOR THIS IT IS N S NOT GIVE ANY WAY. SION I ODUCED IN S I M R PE REPR TO BE

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

TEKS (4.4) The student multiplies and divides to solve meaningful problems involving whole numbers. (D) Readiness. The student is expected to use multiplication to solve problems (no more than two digits times two digits without technology).

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

1 Filipe exercises every day of the week. If he does 35 push-ups each day, how many push-ups will he do in 1 week? HINT Write a Number Sentence. You need to find the total number of push-ups completed in 1 week, or 7 days. Which operation can you use? Write and solve a number sentence to find the answer.

HTED. G I R Y IS COP BeSsure K O Record your answer and fill in the bubbles. TER. to useK the correct O B A M E L E P BOO AM place value. KLIN S S C I A S H I L T H B T OT A N FOR IT IS N S NOT GIVE ANY WAY. SION I ODUCED IN S I M R PE REPR TO BE 0

54 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 Linda drives 58 miles each day for work. She works 5 days a week. How many miles does Linda drive in one 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 0

HTED. G I R Y P IS CObuys K ER. of juice boxes for O There are 75 juice boxes in a case. Steve O S7Tcases B A M E L E P AMboxes does field day. How many Ijuice Steve KLIN buy?THIS BOOK S C A S L H B T OR OT A bubbles. N FBe E V I Record your answer and sure G WAtoY. use the correct IT ISfillN in Sthe T Y O N N A place value. SION I ODUCED IN S I M R PE REPR TO BE 0

55 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 Each charter bus can hold 64 students. There are 9 charter buses carrying students to the beach. What is the greatest number of students the charter buses can carry? Record your answer and fill in the bubbles. Be sure to use the correct place value. 0

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

5 There are 6 fourth-grade classes at Dianne’s school. There are 27 students in each class. How many fourth-grade students are there at Dianne’s school?

TED.

H to use the correct RIGsure Record your answer and fill in the bubbles. YBe P O C S I . place value. BOOK ASTER PLE NE M HIS BOOK I M L A K S C A S THI A BL OR T T F O N N E V S I G WAY. IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE 0

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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

TEKS (4.4) The student multiplies and divides to solve meaningful problems involving whole numbers. (E) Readiness. The student is expected to use division to solve problems (no more than one-digit divisors and three-digit dividends without technology).

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

1 Roberto has donated a total of $861 to the children’s museum during the past 7 years. He has donated the same amount of money each year. How much money has Roberto donated to the children’s museum in each of the past 7 years? HINT Use a Formula or Rule. Set up a long-division problem in the format divisor冄d 苶iv 苶id 苶e 苶n 苶d 苶 First divide the hundreds, then the tens, and then ED. the ones. RIGHT

A B C D

$116 $123 $854 $868

COPY ER. S I K LE BOO KLINE MAST BOOK P M A THIS S OT A BLAC N FOR THIS IT IS N S NOT GIVE ANY WAY. SION I ODUCED IN S I M R PE REPR TO BE

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 Independent Practice Directions: Solve the problems on your own. 2 Mr. Martin ordered a total of 168 playground balls. The shipment came in 6 boxes, with the same number of playground balls in each box. How many playground balls were in each box? F G H J

28 66 166 1,008

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

3 Stephanie has saved a total of $376 during the past 8 months. She has saved the same amount of money each month. How much money has Stephanie saved in each of the past 8 months? A B C D

$42 $45 $47 $49

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

60 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 Grant has earned a total of $570 during the past 6 months. He has earned the same amount of money each month. How much money has Grant earned in each of the past 6 months? F G H J

$59 $75 $84 $95

5 Meghan has sold a total of 133 raffle tickets during the past 7 days. She sold the same number of tickets each day. How many raffle tickets did Meghan sell on each of the past 7 days? A B C D

22 19 63 126

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

61 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

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

TEKS (4.4) The student multiplies and divides to solve meaningful problems involving whole numbers. (A) Supporting. The student is expected to model factors and products using arrays and area models.

1 Some arrays for the number 12 are shown.

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 1 3 12

236

HTED. G I R Y IS COP STER. K O O MA EB 12 3 S1AMPL 6 3 2ACKLINE BOOK S I S H I L T H B T OT A N FOR IT IS N S NOT GIVE ANY WAY. SION I ODUCED IN S I M R PE REPR TO BE

64 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 Which shows another array for the number 12? HINT Guess and Check. Choose an array from the choices below. Count the rows and columns. Is their product 12? If not, guess again.

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

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65 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 Some arrays for the number 20 are shown.

1 3 20

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 435

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK 20 3 1 M A S S BLA THI A OR TH . T F O N N E V S I G T I for the Which shows another Iarray number 20?NY WAY T O N S IN A NI D O I E S C S U I PERM BE REPROD TO 534

66 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 Some arrays for the number 18 are shown.

1 3 18

336

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 633

18 3 1

Which shows another array for the number 18?

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

67 © 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 Some arrays for the number 24 are shown.

1 3 24

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 436

634

HTED. G I R Y IS COP STER. K O O A LE Bthe number Pfor Which shows another array NE M24? I M BOOK L A K S S C I A S H I L T H B T OT A N FOR IT IS N S NOT GIVE ANY WAY. SION I ODUCED IN S I M R PE REPR F G TO BE 24 3 1

68 © 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 Some arrays for the number 36 are shown. 1 3 36

E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 3 3 12

HTED. G I R Y IS COP STER. 12 3 3 K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S 36 3 1 SION I ODUCED IN S I M R PE REPR Which shows another array TO BEfor the number 36? A

69 © 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

70 © 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

71 © 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 (4.4) The student multiplies and divides to solve meaningful problems involving whole numbers. (B) Supporting. The student is expected to represent multiplication and division situations in picture, word, and number form.

1 There are 4 swing sets on a playground. Each swing set can seat only 6 children. Which number sentence shows how to find the greatest number of children who can swing on the swing sets at one time?

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

HINT Write a Number Sentence. What number sentence can you write to show 4 groups of 6?

A 4 6 ⵧ B 6 4 ⵧ C 6 4 ⵧ D 4 6 ⵧ

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72 © 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 There are 3 shelves in a cabinet. Each shelf can hold only 9 glasses. Which number sentence shows how to find the greatest number of glasses that can be in the cabinet at one time? F G H J

9 9 3 3

ⵧ –3 ⵧ 9 ⵧ 9 ⵧ 3

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

3 There are 45 cans in a box. The cans are arranged in 5 equal rows. Which number sentence shows how to find the number of cans in each row? A 45 5 ⵧ B 45 – 5 ⵧ C 45 5 ⵧ D 45 5 ⵧ

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

73 © 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 There are 30 desks in a classroom. There are exactly 6 desks in each row. Which number sentence shows how to find the number of rows of desks? F G H J

30 30 30 30

ⵧ –6 ⵧ 6 ⵧ 6 ⵧ 6

5 There are 7 boats on a rafting trip. Each boat can hold only 5 passengers. Which number sentence shows how to find the greatest number of passengers that can be on the rafting trip at one time? A B C D

7 7 7 7

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

ⵧ 5 ⵧ –5 ⵧ 5 ⵧ 5

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

74 © 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

75 © 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

76 © 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 (4.4) The student multiplies and divides to solve meaningful problems involving whole numbers. (C) Supporting. The student is expected to recall and apply multiplication facts through 12 12.

1 The windows are being cleaned in all the first-floor classrooms at Rio Elementary School. There are 9 classrooms on the first floor, and each classroom has 8 windows. How many windows will be cleaned on the first floor?

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

HINT Look for a Pattern. When you can’t remember a multiplication fact you can look for a pattern. To find 9 groups of 8, count by 8’s nine times: 8, 16, 24, 32, …

A B C D

72 78 80 89

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77 © 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 Mr. Jackson is stacking packages of paper towels at his grocery store. He makes 7 stacks. There are 8 packages of paper towels in each stack. How many packages of paper towels does Mr. Jackson stack? F G H J

42 48 52 56

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

3 Leann is planting flower bulbs. She has bulbs for 4 different kinds of flowers. She plants 6 bulbs for each type of flower. How many flower bulbs does Leann plant? A B C D

20 24 26 32

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

78 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 Bob runs 3 miles on the days he runs. He runs 5 times in one week. How many miles does Bob run that week? F G H J

2 8 12 15

5 A bookstore displays a local author’s new book for sale. There are 4 rows of books on the display. There are 8 books in each row. How many of the author’s new book are on the display at the bookstore? A B C D

30 32 36 48

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

79 © 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

80 © 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

81 © 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 (4.5) The student estimates to determine reasonable results.

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

(A) Supporting . . . . . . . . . . . . . . . . . . . . 83 (B) Supporting . . . . . . . . . . . . . . . . . . . . 90

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

82 © 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 (4.5) The student estimates to determine reasonable results. (A) Supporting. The student is expected to round whole numbers to the nearest ten, hundred, or thousand to approximate reasonable results in problem situations.

1 The table below shows the distances in feet climbed by 4 rock climbers.

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

Climber

Distance Climbed (feet)

Hannah

16,692

Lance

17,726

Maria

TE 15,077 YRIGH

D. IS COP STER. Mark E BOOK 18,542 PL NE MA HIS BOOK I M L A K S C A S THI A BL OR T T F O N N E V S I AY. Which is the best estimate many climbed G more feet WHannah IT I of how T Y O N N A S I N I N than Maria? UCED ISSIO PERM BE REPROD TO HINT Make Estimates. Round each distance to the nearest thousand. Then subtract.

A B C D

1,000 2,000 3,000 4,000

feet feet feet feet

83 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 The table below shows the number of visitors to four parks in one year.

Park Visitors Number of People

Park Lands End

28,525

Windy Canyon

78,871

Vista Point

55,099

Park Meadows

39,278

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

Which is the best estimate of how many more people visited Windy Canyon than Park Meadows? F G H J

30,000 40,000 50,000 60,000

people people people people

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84 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 The table below shows the maximum weight, in pounds, of some sharks.

Sharks Kind of Shark

Maximum Weight (pounds)

Great hammerhead shark

1,889

Greenland shark

2,224

Six-gill shark

1,327

Tiger shark

2,043

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

Which is the best estimate of how many more pounds a Greenland shark can weigh than a six-gill shark can weigh? A B C D

900 800 700 600

pounds pounds pounds pounds

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

85 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 The table below shows the area, in square miles, of four states.

States’ Areas State

Area (square miles)

Alaska

615,230

California

158,869

Montana

147,046

Texas

267,277

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

Which is the best estimate of how much larger Texas is than California? F G H J

130,000 120,000 110,000 100,000

square square square square

miles miles miles miles

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

86 © 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 The table below shows the area, in square miles, of four countries.

Countries’ Areas Country

Area (square miles)

Austria

32,378

Denmark

16,639

Estonia

17,462

Nicaragua

49,998

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

Which is the best estimate of how much larger Nicaragua is than Denmark? A B C D

36,000 35,000 34,000 33,000

square square square square

miles miles miles miles

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

87 © 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

88 © 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

89 © 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 (4.5) The student estimates to determine reasonable results. (B) Supporting. The student is expected to use strategies including rounding and compatible numbers to estimate solutions to multiplication and division problems.

1 Doug can drive his car 58 miles in one hour. If he drives at the same speed, about how many miles can he drive in 4 hours?

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

HINT Make Estimates. First round 58 to the nearest ten, 60. Then think: 6 4 ⵧ, so 60 4 ⵧ.

A B C D

2 miles 24 miles 240 miles 2,400 miles

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

90 © 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 Gina can read 42 pages in her book in one hour. If she reads at the same speed, about how many pages can she read in 5 hours? F G H J

200 250 300 360

pages pages pages pages

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

3 Neil can make 27 birdhouses in one day. If he builds birdhouses at the same speed, about how many birdhouses can he make in a week? A B C D

300 210 150 140

birdhouses birdhouses birdhouses birdhouses

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

91 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 Arlynne can hem 19 dresses in 1 week. If she hems dresses at the same speed, about how many dresses can she hem in 3 weeks? F G H J

6 dresses 60 dresses 600 dresses 6,000 dresses

5 Spencer can type 62 words in one minute. If he types at the same speed, about how many words can he type in 9 minutes? A B C D

48 words 54 words 480 words 540 words

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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

92 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

93 © 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

94 © 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

95 © 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

96 © 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

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE

STAAR MATH

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

TED. H G I R COPY ER. S I K O BO AST M E L E P N OOK I M B L A K S S C I A S H I L T TH OT A B GIVEN FOR N S I WAY. IT Y OT N N A S I N I ISSION PRODUCED M R E P RE TO BE