Staar math g measurement sample

Applying the Readiness and Supporting TEKS for the STAAR

S TA A R MAT H

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8 MEASUREMENT

STER. A M E ACKLIN L B A IS NOT OOK TO BE T I .

D IGHTE FOR THIS B R Y P O IVEN K IS C G O WAY. T O Y O B N N E A L S I P AM D IN ON THIS S PERMISSI EPRODUCE R

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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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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

Grade 3 4 5 6 7 8

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888-99-RALLY www.RALLYEDUCATION.com

LEVEL

G

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

MEASUREMENT

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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 different problem-solving strategies: Work Backwards Use a Formula or Rule

STER. A M E ACKLIN L B A In the Independent Practice section, students respond math O BE problems S NOT to four I T T K I O . for each TEKS on their own.

GHTED OR THIS BO I R Y P IS CO VEN F Ymath Itwo-page Kcan AY. journal. This journal G O W T O After each TEKS, students write in a O B N N E A L IN AMP show ION ISworkODand EDanswer S C S U is where students their questions about the TEKS I M THIS S can R ER P P E R they have just learned.

ISBN 978-1-4204-6339-2 R 6339-2 Copyright ©2012 RALLY! EDUCATION. All rights reserved. No part of the material protected by this copyright may be reproduced in any form by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without permission in writing from the copyright owner. Printed in the U.S.A. 0811.MAQ RALLY! EDUCATION • 22 Railroad Avenue, Glen Head, NY 11545 • (888) 99-RALLY

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

Contents TEKS (7.9) . . . . . . . . . . . . . . . 4 TEKS Skill

Guided Practice

Independent Practice

(A) Readiness . . . . . 5 . . . . . . . . 6 (C) Readiness. . . . . 11 . . . . . . . 12 (B) Supporting. . . . 17 . . . . . . . 18

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

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 .

TEKS (7.9) The student solves application problems involving estimation and measurement.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

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

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

TEKS (7.9) The student solves application problems involving estimation and measurement.

(A) Readiness. The student is expected to estimate measurements and solve application problems involving length (including perimeter and circumference) and area of polygons and other shapes.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

1 Richard needs to cut a piece of glass for his table. The table is in the shape of a 1 regular pentagon. The glass should measure 1 feet on each side. What is the 4 perimeter of the piece of glass?

.

HINT STER A M E LIN formula for Use a Formula or Rule. A pentagon has 5 sides (s).

ACKThe L B A E NOT perimeter of a regular pentagon is IPT =IS5s.

K TO B

A

BOO TED. S H I G H I T R COPY GIVEN FOR S I K AY. O W T O Y O B N N E A L AMP D IN ON IS 6 T41H IftS S PERMISSI EPRODUCE R

1 B 5 ft 4 1 C 4 ft 4 1 D 3 ft 4

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

Independent Practice Directions: Solve the problems on your own.

2 Denise wants to attach a string of beads along the circular bottom edge of the lamp shade shown below. The diameter of the bottom of the lamp shade is 23 centimeters.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

About how many centimeters long should Denise make the string of beads?

F 50 cm G 60 cm

STER. A M E ACKLIN L 80 cm 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

H 70 cm J

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 .

3 A landscaping company was hired to fertilize the lawn represented by the shaded region shown below.

40 ft

100 ft

House

25 ft Garage

50 ft

30 ft

200 ft

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

What was the area in square feet that was fertilized?

A 2,750 ft2

B 12,750 ft2 C 17,250 ft2 D 20,000 ft2

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

4 Mr. Friedman was trying to find a tablecloth for his rectangular dining table.

He knew the area and perimeter of the tabletop.

Area = 48 square feet Perimeter = 28 feet Which best represents the width and length of the tabletop?

F width = 4 feet length = 12 feet G width = 6 feet length = 8 feet H width = 3 feet length = 16 feet

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

J width = 2 feet length = 24 feet

5 Ladonna ran in 3 races. The distances she ran in the races were 4 kilometers, 9.5 kilometers, and 1.85 kilometers. How many meters did Ladonna run in the 3 races altogether?

STER. A M E ACKLIN L B A 2,840 m S NOT OK TO BE I T I .

15,350 m GHTED OR THIS BO I R Y P O 28,400 m 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 1,535 m B C D

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

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

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 .

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

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 .

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

TEKS (7.9) The student solves application problems involving estimation and measurement.

(C) Readiness. The student is expected to estimate measurements and solve application problems involving volume of prisms (rectangular and triangular) and cylinders.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

1 Logan has a plastic container that is shaped like a rectangular prism. The container has a length of 15 centimeters and a width of 7 centimeters. If the volume of the container is 420 cubic centimeters, what is its height?

HINT Work Backwards. To find the volume of a rectangular prism, you multiply length by width by height. Since you already know the TER. S A M E volume, divide it by the length and width to find the N KLIheight.

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 398 cm IVEN F Y WAY. K IS C G O T O O B 315 cm MPLE N IS N UCED IN AN A O I S S S S I I D TH cm PERM 105 REPRO

D 4 cm

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 .

Independent Practice Directions: Solve the problems on your own.

2 Clara has a plastic container that is shaped like a rectangular prism. The container has a length of 11 inches and a height of 9 inches. If the volume of the container is 891 cubic inches, what is its width?

F 2 in.

G 9 in.

H 11 in.

J 99 in.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

3 Emerson has a plastic container that is shaped like a rectangular prism.

The container has a height of 7 centimeters and a width of 8 centimeters.

If the volume of the container is 896 cubic centimeters, what is its length?

TER. S A M E 16 cm ACKLIN L B A 56 cm S NOT OK TO BE I T I .

78 cm GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B MPLE SSION IS N UCED IN AN A S S I I D TH PERM REPRO

A 15 cm B C D

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

4 For storage Mr. Risley uses cylindrical containers like the one shown below.

2 ft

3 ft

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

If Mr. Risley uses 2 of these containers, which is closest to the total volume of both containers?

F 301 cubic feet G 75 cubic feet H 38 cubic feet

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

J 19 cubic feet

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 .

5 Lucinda uses a container in the shape of a cylinder to store her spare change.

The diagram below shows the dimensions of the container.

12 cm

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8 25 cm

STER. A M E ACKLIN L B A S NOT OK TO BE I T I .

GHTED OR THIS BO I R Y P CO to the Which of the followingKisISclosest EN F of the Y. IVvolume Acontainer?

G O W T O Y O B N N E A L AM3 P D IN ON IS A 2,826 THIS Scm3 PERMISSI EPRODUCE R B 3,600 cm C 11,304 cm3 D 23,550 cm3

14 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 .

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 .

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 .

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

TEKS (7.9) The student solves application problems involving estimation and measurement.

(B) Supporting. The student is expected to connect models for volume of prisms (triangular and rectangular) and cylinders to formulas of prisms (triangular and rectangular) and cylinders.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

1 Anna has a paperweight in the shape of a triangular prism, as shown below.

5 cm

3 cm

STER. A M E 7 cm LACKLIN OT A B TO BE N S I ED. IT THIS BOOK 8 cmPYRIGHT CO N FOR S E I V I K AY. G O W T O Y O B N N E A L IN is V = Bh. Which expression can MPthe volume A formula IOofN aIStriangular EDprism S C S U IS SAfor I H D M T O R of this prism in square centimeters? be used to find P B,ER the area ofREaPbase HINT Use a Formula or Rule. Use the formula for area of a triangle to find the area of the base of the triangular prism. A = 1 bh 2

(3) (8) A 2 B (3)(8)(7) (8) (5) C 2 D (8)(5)(7)

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 .

Independent Practice Directions: Solve the problems on your own.

2 Peter has a box in the shape of a rectangular prism, as shown below.

3 in.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8 7 in.

5 in.

A formula for the volume of a rectangular prism is V = Bh. Which expression can be used to find B, the area of a base of this prism in square inches?

STER. A M E ACKLIN L B (3)(5 )(7) A 2 S NOT OK TO BE I T I .

GHTED OR THIS BO I R Y (3)(5) P O IVEN F Y WAY. K IS C G O T O O B LE N IS N UCED IN AN 2(3IS+ S 5)AMP O I S S I D TH PERM REPRO

F (3)(5)(7) G H J

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 .

3 Beatrice has a container in the shape of a cylinder, as shown below.

6 cm

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8 14 cm

STER. A M E ACKLIN L B A S NOT OK TO BE I T I .

GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O T O O B N A formula for is VIN = Bh. AN Which expression can be used LE volumeIOofN aIScylinder MPthe A D S E S C S S U I I to find TH B, the area RODcylinder in square centimeters?

PERofM a base RofEPthis A 3π B 6π C 9π D 36π

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 .

4 Ward has a container in the shape of a cylinder, as shown below.

12 in.

20 in.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

R.

E used A formula for the volume of a cylinder is V = Bh. Which expression ASTbe Mcan E N I L to find B, the area of a base of this cylinder in square inches?

BLACK F G H J

OT A N O BE S I T T K I 6π O .

GHTED OR THIS BO I R Y P 12π IS CO IVEN F Y WAY. K G O T O O B 36π MPLE SSION IS N UCED IN AN A S S I I D 144π 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 .

5 Julie has a mailing tube in the shape of a triangular prism, as shown below.

13 cm

12 cm

15 cm

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8 10 cm

A formula for the volume of a triangular prism is V = Bh. Which expression can be used to find B, the area of a base of this prism in square centimeters?

A B C D

STER. A M E (10)(12)(15) ACKLIN L B A S NOT OK TO BE I T (13)(15)(10) I .

GHTED OR THIS BO I R Y P O (10) (13) IVEN F Y WAY. K IS C

G O T O 2 O B MPLE SSION IS N UCED IN AN A S S I I D (10) (12) TH

PERM REPRO 2

21 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 .

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

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 .

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

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 .

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

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 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