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Applying the Readiness and Supporting TEKS for the STAAR

E L P SAM ATION C U D E S TA A R ! Y L L Y L A L R A .R MAT 8H 9 9 . 88

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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

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LEVEL

D

Applying the Readiness and Supporting TEKS for the STAAR

E L P M A S N O I S TA A R T A C U D E ! Y MAT H L L Y L A L R A R . 9 9 . 888

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PATTERNS, RELATIONSHIPS, — AND —

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4and PATTERNS Patterns Relationships RELAT Algebraic 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 M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

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: Write a Number Sentence, Use Ratio or Proportion Guess and Check Look for a Pattern TED.

YRIGH P O C S I . math problems In the Independent Practice section, students ERfour STto BOOK respond A M E L E P BOOK AM for each TEKS on their own. KLIN S S C I A S H I L T H B T OT A N FOR N E V S I I AY. G T Wjournal. I write SinNaOTtwo-page math After each TEKS, students can This journal is Y N A I N I N D O I E S C where students can show their and Oanswer R DU questions about the TEKS ERMIS work P P E R they have just learned. TO BE

ISBN 978-1-4204-6316-3 R 6316-3 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 .


4Relationships cTIONSHIPS Reasoning Patterns ALGE an Contents TEKS (4.6) . . . . . . . . . . . . . . . 4

TEKS (4.7) . . . . . . . . . . . . . . 16

TEKS Skill

TEKS Skill

Guided Practice

Independent Practice

(A) Supporting . . . . 5 . . . . . . . . 6 (B) Supporting. . . . 10 . . . . . . . 11

Guided Practice

Independent Practice

(A) Readiness. . . . . 17 . . . . . . . 18

E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

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


4and PATTERNS Patterns Relationships RELAT AlgebraicP P

TEKS (4.6) The student uses patterns in multiplication and division.

E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

(A) Supporting . . . . . . . . . . . . . . . . . . . . . 5 (B) Supporting . . . . . . . . . . . . . . . . . . . . 10

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

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 4Relationships PATTERNS Patterns cTIONSHIPS Reasoning Relationships Patterns and RELAT ALGE Algebraic an Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (4.6) The student uses patterns in multiplication and division. (A) Supporting. The student is expected to use patterns and relationships to develop strategies to remember basic multiplication and division facts (such as the patterns in related multiplication and division number sentences (fact families) such as 9  9  81 and 81  9  9).

E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

1 A carton of crayons at a store contains 12 boxes. If there are 100 crayons in each box, how many crayons are in the carton? HINT Write a Number Sentence. 12  1  12 12  10  120 12  100  ⵧ

A B C D

1,200 12,000 120,000 1,200,000

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

5 © 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 .


4and PATTERNS Patterns Relationships RELAT Algebraic Independent Practice Directions: Solve the problems on your own. 2 A box of index cards at a store contains 18 packages. If there are 1,000 index cards in each package, how many index cards are in the box? F G H J

180 1,800 18,000 180,000

E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

3 A carton of straws at a store contains 25 packages. If there are 100 straws in each package, how many straws are in the carton? A B C D

4

25 250 2,500 25,000

HTED. G I R Y IS COP STER. K O O LE B E MA Pcompletes N I M BOOK L A K S S C I Which pair of numbers best the equation below? A S H I L T H B T OT A N FOR N E V S I I AY. G T W I T Y O N N A ION IS ODUCED IN S S I M 3 E10 PR5 P ER R E B TO F

G

85

and

8,500

85

and

850

H

J

850

and

85

85

and

85,000

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


4Relationships cTIONSHIPS Reasoning Patterns ALGE an 5 Which pair of numbers best completes the equation below?

3 100 5

A

B

C

D

21

21

210

and

2,100

E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

2,100

and

210

and

2,100

and

21

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

7 © 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 .


4and PATTERNS Patterns Relationships RELAT Algebraic 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 M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

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 .


4Relationships cTIONSHIPS Reasoning Patterns ALGE an 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 M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

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 .


4and PATTERNS Patterns Relationships RELAT Algebraic Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (4.6) The student uses patterns in multiplication and division. (B) Supporting. The student is expected to use patterns to multiply by 10 and 100.

1 A snack bar owner purchases ice in 9-pound bags. If the owner purchases 1,000 bags of ice in a year, how many pounds of ice does he purchase?

E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

HINT Look for a Pattern. Use a pattern with zeros to complete the number sentences and answer the question. 91ⵧ 9  10  ⵧ 9  100  ⵧ 9  1,000  ⵧ

A B C D

900 999 9,000 9,009

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

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 .


4Relationships cTIONSHIPS Reasoning Patterns ALGE an Independent Practice Directions: Solve the problems on your own. 2 Which pair of numbers best completes this table? Number

Number  10

169

1,690

403

4,030

E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888. 731

F

G

7,310

320

3,220

404

4,040

H

602

J

790

HTED. G I R Y IS COP STER. K O O EB E MA PL6,200 N I M BOOK L A K S S C I A S H I L T H B T OT A N FOR N E V S I I AY. G T W I T Y O N N A IS ION7,990 ED IN S C S U I D M O P ER REPR E B O T

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


4and PATTERNS Patterns Relationships RELAT Algebraic 3 Which pair of numbers best completes this table?

A

B

C

D

104

Number

Number  10

185

1,850

845

8,450

430

4,300

1,400

E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888. 503

5,030

708

7,880

880

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T 8,080

12 © 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 .


4Relationships cTIONSHIPS Reasoning Patterns ALGE an 4 A party store manager purchases balloons in 11-pound boxes. If the manager purchases 100 boxes of balloons in a month, how many pounds of balloons does she purchase? F G H J

1,110 1,100 1,010 1,000

5 A shipping store manager purchases packaging peanuts in 12-pound boxes. If the manager purchases 1,000 boxes of packaging peanuts in a year, how many pounds of packaging peanuts does he purchase? A B C D

E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

10,200 12,000 12,020 12,120

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

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


4and PATTERNS Patterns Relationships RELAT Algebraic 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 M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

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 .


4Relationships cTIONSHIPS Reasoning Patterns ALGE an 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 M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

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 .


4and PATTERNS Patterns Relationships RELAT Algebraic

TEKS (4.7) The student uses organizational structures to analyze and describe patterns and relationships.

E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

(A) Readiness . . . . . . . . . . . . . . . . . . . . . 17

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

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 .


4Relationships cTIONSHIPS Reasoning Patterns ALGE an Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (4.7) The student uses organizational structures to analyze and describe patterns and relationships. (A) Readiness. The student is expected to describe the relationship between two sets of related data such as ordered pairs in a table.

E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

1 The table below shows the number of cubes and the number of faces on these cubes.

Faces on Cubes

Number of Cubes

Number of Faces

4

24

HTED. G I R Y OP IS C72 K 12 O O STER. OK B A M E L E P BO AM KLIN THIS S OT A BLAC N FOR THIS N relationship Which correctly describes table? AY. GIVE in the W IT ISthe T Y O N N A ION IS ODUCED IN S S I M HINT P ER REPR E B O Guess and Check.T Choose an answer. Check it for each row of the 48

8

table. The correct answer will work for all three rows in the table.

A B C D

Number Number Number Number

of of of of

cubes cubes cubes cubes

   

20  number of faces 40  number of faces 4  number of faces 6  number of faces

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


4and PATTERNS Patterns Relationships RELAT Algebraic Independent Practice Directions: Solve the problems on your own. 2 The table below shows the number of triangular pyramids and the number of faces on these triangular pyramids.

Faces on Triangular Pyramids Number of Triangular Pyramids

Number of Faces

E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888. 3

12

6

24

9

36

Which correctly describes the relationship in the table? F G H J

Number Number Number Number

of of of of

triangular triangular triangular triangular

pyramids  9  number of faces pyramids  18  number of. faces IGHTEofD faces R pyramids  4 OP number Y R. KIS6 C number O O pyramids B MASTE of facesK LE

BOO AMP KLINE S S C I A S H I L T H B T OT A N FOR N E V S I I AY. G T W I T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

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


4Relationships cTIONSHIPS Reasoning Patterns ALGE an 3 The table below shows the regular prices of some swimsuits and the prices with a coupon.

Swimsuit Prices Regular Price

Price with Coupon

$19

$16

$25

$22

$31

$28

$37

$34

E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

Based on the information in the table, which could be the discount offered with the coupon? A B C D

Take $3 off the regular price Take $6 off the regular price Buy 3 swimsuits for the price of 1 Get 1 swimsuit for $3

D.

4 Each number in Set P is related in the same way IGHTtoE the number beside it R Y P O C in Set Q. OK IS TER.

LE BO KLINE MAS P M BOOK A S S C I A S H I L T H B T Set Set OPT A NQ FOR N E V S I I AY. G T W I T Y O N N A IO9N IS ODUCE36D IN S S I M P ER REPR 280 70 E B O T 12

48

30

120

When given a number in Set P, what is one way to find its related number in Set Q? F G H J

Add 27 Add 36 Multiply by 4 Multiply by 8

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


4and PATTERNS Patterns Relationships RELAT Algebraic 5 Each number in Set R is related in the same way to the number beside it in Set S. Set R

Set S

6

18

11

23

5

17

15

27

When given a number in Set R, what is one way to find its related number in Set S? F G H J

E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

Add 12 Add 13 Multiply by 3 Multiply by 7

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

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


4Relationships cTIONSHIPS Reasoning Patterns ALGE an 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 M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

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 .


4and PATTERNS Patterns Relationships RELAT Algebraic 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 M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

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


4Relationships cTIONSHIPS Reasoning Patterns ALGE an

E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

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


4and PATTERNS Patterns Relationships RELAT Algebraic

E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T

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 .


E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M P ER REPR E B O T


S TA A R MATH

E L P SAM ATION C U D E ! Y L L Y L L RA A R . 9 9 888.

HTED. G I R Y COP S I K O TER. O S B A M E L E BOOK AMP KLIN S S C I A S H I L T H B T OT A N FOR N E V S I I AY. G T W I T Y O N N A ION IS ODUCED IN S S I M PER REPR E B O T


Staar math d algebra sample