Staar math d geometry sample

Applying the Readiness and Supporting TEKS for the STAAR

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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

Item # 6314-9 6321-7 6328-6 6335-4 6342-2 6349-1

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888-99-RALLY www.RALLYEDUCATION.com

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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 S GIV WAY. IT I T Y O N N A S ION I ODUCED IN S S I M P ER REPR TO BE

S TA A R MAT H

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4 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet 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 Use Manipulatives or Act Out HTED. G I R Y Use a Formula or Rule IS COP STER. K O O Make Estimates PLE B CKLINE MA IS BOOK M A S S Look for a PatternTHI A BLA OR TH

OT NF IT IS N S NOT GIVE ANY WAY. In the Independent Practice section, D IN to four math problems ION Istudents Erespond S C S U I D M O R for each TEKS on their own.

PE REPR TO BE After each TEKS, students can write in a two-page math journal. This journal is where students can show their work and answer questions about the TEKS they have just learned.

ISBN 978-1-4204-6317-0 R 6317-0 Copyright ©2012 RALLY! EDUCATION. All rights reserved. No part of the material protected by this copyright may be reproduced in any form by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without permission in writing from the copyright owner. Printed in the U.S.A. 0811.MAQ RALLY! EDUCATION • 22 Railroad Avenue, Glen Head, NY 11545 • (888) 99-RALLY

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

4 TIAL ry and REASONING Spatial Reasoning Geomet Contents TEKS (4.8) . . . . . . . . . . . . . . . 4

TEKS (4.10) . . . . . . . . . . . . . 37

TEKS Skill

TEKS Skill

Guided Practice

Independent Practice

(C) Readiness . . . . . 5 . . . . . . . . 7 (A) Supporting. . . . 12 . . . . . . . 13 (B) Supporting. . . . 19 . . . . . . . 20

Guided Practice

Independent Practice

(A) Readiness. . . . . 38 . . . . . . . 39

TEKS (4.9) . . . . . . . . . . . . . . 26 TEKS Skill

Guided Practice

Independent Practice

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

(B) Readiness. . . . . 27 . . . . . . . 28 (C) Supporting. . . . 32 . . . . . . . 33

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 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 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet

TEKS (4.8) The student identifies and describes attributes of geometric figures using formal geometric language.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

(C) Readiness . . . . . . . . . . . . . . . . . . . . . . 5 (A) Supporting . . . . . . . . . . . . . . . . . . . . 12 (B) Supporting . . . . . . . . . . . . . . . . . . . . 19

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 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 TIAL ry and REASONING Spatial Reasoning Geomet Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (4.8) The student identifies and describes attributes of geometric figures using formal geometric language.

(C) Readiness. The student is expected to use essential attributes to define two- and three-dimensional geometric figures.

1 Suzanne made the 2 models shown below by connecting straws with pieces of clay.

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

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 .

4 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet If Suzanne counts the number of pieces of clay she used for both models, what information will she have?

HINT Make a Chart or List. Complete a table like the one shown below for the models Suzanne made. Which total matches the number of pieces of clay Suzanne used?

Solid Figure

Number of Vertices

Number of Edges

Number of Faces

Number of Angles

Cube

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

Triangular Pyramid

Totals For Both Figures

A B C D

HTED. G I R Y The total number of vertices IS COP STER. K O O PLE B CKLINE MA IS BOOK The total number ofSedges M A S BLA THI A OR TH .

T F O N The total number of faces N E V S I G WAY IT I T Y O N N A S The total number of angles SION I ODUCED IN S I M R PE REPR TO BE

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

4 TIAL ry and REASONING Spatial Reasoning Geomet Independent Practice Directions: Solve the problems on your own.

2 Anthony made the 2 models shown below by connecting straws with pieces of clay.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

If Anthony counts the number of straws he used for both models, what information will he have?

F The total number of vertices G The total number of edges

HTED. G I R Y The total number of angles 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

H The total number of faces J

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 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet 3 Stephany made the 2 models shown below by connecting toothpicks with mini marshmallows.

If Stephany counts the number of toothpicks she used for both models, what information will she have?

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

A The total number of points

B The total number of vertices C The total number of faces

D The total number of edges

4 Rory made the 2 models shown below by connecting toothpicks with mini marshmallows.

HTED.

YRIG P O C S I .

BOOK NE MASTER OOK E L P B AM KLI 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

If Rory counts the number of marshmallows he used for both models, what information will he have?

F The total number of surfaces G The total number of vertices H The total number of faces J The total number of edges

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 .

4 TIAL ry and REASONING Spatial Reasoning Geomet 5 Gabrielle made the 2 models shown below by connecting pretzels with grapes.

If Gabrielle counts the number of grapes she used for both models, what information will she have?

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

A The total number of angles B The total number of edges

C The total number of vertices D The total number of faces

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 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 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet 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

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 TIAL ry and REASONING Spatial Reasoning Geomet 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

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

4 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (4.8) The student identifies and describes attributes of geometric figures using formal geometric language.

(A) Supporting. The student is expected to identify and describe right, acute, and obtuse angles.

1 Solomon drew the dog shown below.

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 Which part of the dog appears TO BE to have obtuse angles?

HINT Make Estimates. Estimate the measures of the angles you see in the dog’s ears, eyes, mouth, and nose. Which estimate is an obtuse angle?

A Ears B Eyes C Mouth D Nose 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 .

4 TIAL ry and REASONING Spatial Reasoning Geomet Independent Practice Directions: Solve the problems on your own.

2 Solomon drew the dog shown below.

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 B have right A Which part of the dog appears PLE to NE Mangles?

I M BOOK L A K S S C I A S H I L T H B T A F Ears OR IS NOT OT GIVEN F Y WAY. T I G Eyes N IS N UCED IN AN O I S S I H Mouth PERM BE REPROD TO J Nose

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 .

4 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet 3 Sonya drew the gingerbread man shown below.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

Which part of the gingerbread man appears to have right angles?

A Arms B Eyes C Feet

D Mouth

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 TIAL ry and REASONING Spatial Reasoning Geomet 4 Sonya drew the gingerbread man shown below.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

Which part of the gingerbread man appears to have obtuse angles?

F Arms G Eyes H Feet

J Mouth

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 .

4 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet 5 Sonya drew the gingerbread man shown below.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

Which part of the gingerbread man appears to have only acute angles?

A Arms B Eyes C Feet

D Mouth

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 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N 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 TIAL ry and REASONING Spatial Reasoning Geomet 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

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

4 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet 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

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

4 TIAL ry and REASONING Spatial Reasoning Geomet Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (4.8) The student identifies and describes attributes of geometric figures using formal geometric language.

(B) Supporting. The student is expected to identify and describe parallel and intersecting (including perpendicular) lines using [concrete objects and] pictorial models.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

1 Look at the map below.

Park

Brook

Vin e

Al c

ott

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 I Which streets appear toSSbe to Ceach IONparallel ED INother?

U I D M O R PR PE BE RE O T HINT Use a Formula or Rule. Think of the rules for parallel lines. Do they intersect or not intersect? If they do intersect, what type of angle do they form?

A Vine and Alcott B Park and Brook C Brook and Vine D Brook and Alcott

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 .

4 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet Independent Practice Directions: Solve the problems on your own.

2 Look at the map below.

ana Font Lak esh o

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8 Ma in

Wa

terv iew

re

HTED. G I R Y IS COP STER. K O O A LE B NEtoMeach I MPperpendicular BOOK L K Which streets appearIStoSAbe other?

S C I A H L T H B T OT A N FOR F Fontana and Waterview IT IS N S NOT GIVE ANY WAY. SION I ODUCED IN S I G Main and Fontana M R PE REPR H Main and LakeshoreTO BE J Waterview and Main

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 .

4 TIAL ry and REASONING Spatial Reasoning Geomet

taff

eline Bas

Flags

Can yon

3 Look at the map below.

Pea rl

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

Which streets appear to be perpendicular to each other?

A Baseline and Pearl

B Canyon and Baseline

HTED. G I R Y Pearl and Flagstaff 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

C Flagstaff and Baseline D

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 .

4 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet

Dee r Tra

eek e Cr Cano

n lo R u Buffa

Fore st V iew

il

4 Look at the map below.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

Which streets appear to be parallel to each other?

F Buffalo Run and Canoe Creek G Canoe Creek and Deer Trail

HTED. G I R Y Forest View and Buffalo Run 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

H Deer Trail and Forest View J

22 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 TIAL ry and REASONING Spatial Reasoning Geomet 5 Look at the map below.

Tu r ner

Fi fth

Hill

g ssin o r C il Qua

Sm

ith

Ri dg e

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8 Av en ue

Which streets appear to be parallel to each other?

A Fifth Avenue and Turner Hill

B Quail Crossing and Smith Ridge

HTED. G I R Y Turner Hill and Quail Crossing S COP I .

BOOK NE MASTER OOK E L P B AM KLI 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

C Smith Ridge and Fifth Avenue D

23 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 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet 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

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 TIAL ry and REASONING Spatial Reasoning Geomet 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

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 .

4 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet

TEKS (4.9) The student connects transformations to congruence and symmetry.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

(B) Readiness . . . . . . . . . . . . . . . . . . . . . 27 (C) Supporting . . . . . . . . . . . . . . . . . . . . 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

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 .

4 TIAL ry and REASONING Spatial Reasoning Geomet Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (4.9) The student connects transformations to congruence and symmetry.

(B) Readiness. The student is expected to use translations, reflections, and rotations to verify that two shapes are congruent.

1 Which single transformation is represented from Figure X to Figure Y below?

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

Figure HTEYD. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M HINT A S S LA BOut. THI or Act R THcut out Figure X. Move it A Oand T F Use Manipulatives it Trace O N N E V S I I AY. Gdid you move Wit? IT Figure T Y O N N so that it matches Y. How A S SION I ODUCED IN S I M R PE REPR TO BE Figure X

A Reflection B Rotation C Translation D Not here

27 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 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet Independent Practice Directions: Solve the problems on your own.

2 Which single transformation is represented from Figure X to Figure Y below?

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8 Figure X

Figure Y

F Dilation

G Reflection H Rotation

J Translation

3

HTED. G I R Y IS COP STER. K O O Which single transformationLis A Figure OKX to P E Brepresented NE Mfrom O I B L K S C I Figure Y below? THIS SAM A A BL 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

Figure X

Figure Y

A Dilation B Reflection C Rotation D Translation

28 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 TIAL ry and REASONING Spatial Reasoning Geomet 4 Which single transformation is represented from Figure X to Figure Y below?

Figure X

Figure Y

F Translation

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

G Rotation

H Reflection J Dilation

5 Which single transformation is represented from Figure X to Figure Y below?

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 EP R Figure TXO BE R Figure Y

A Reflection B Dilation C Translation D Rotation

29 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 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet 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

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 TIAL ry and REASONING Spatial Reasoning Geomet 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

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 .

4 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (4.9) The student connects transformations to congruence and symmetry.

(C) Supporting. The student is expected to use reflections to verify that a shape has symmetry.

1 Which number has at least 1 line of symmetry?

E L P SAM ATION C U D E !

Y L L Y L A L R A R .

2 9 9 .

888

HINT Draw a Picture or Diagram. Draw horizontal, vertical, and diagonal lines dividing each number in half. Which number can be divided into two equal halves?

A

B

C

D

3 4 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

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

4 TIAL ry and REASONING Spatial Reasoning Geomet Independent Practice Directions: Solve the problems on your own.

2 Which letter has at least 1 line of symmetry?

F

G

H

J

3

Q E L R P SAM ATION C U S D E !

Y L Y L AL L R A R .

9 9 T .

HTED. 8 G I R 8 Y 8 OP

K IS C O O STER. OK B A M E L E P BO AM KLIN THIS S OT A BLAC N FOR THIS GIVE WAY. IT IS1NlineSofNOsymmetry?

Which letter has at least T Y N A SION I ODUCED IN S I M R PE REPR A TO BE

B

C

D

F G W Z

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

4 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet 4 Which letter has at least 1 line of symmetry?

F

G

H

J

c d e k

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 h 8 8

5 Which letter has at least 1 line of symmetry?

A

B

C

D

p r x

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 TIAL ry and REASONING Spatial Reasoning Geomet 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

35 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N 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 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet 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

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

4 TIAL ry and REASONING Spatial Reasoning Geomet

TEKS (4.10) The student recognizes the connection between numbers and points on a number line.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

(A) Readiness . . . . . . . . . . . . . . . . . . . . . 38

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 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N 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 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (4.10) The student recognizes the connection between numbers and points on a number line.

(A) Readiness. The student is expected to locate and name points on a number line using whole numbers, fractions such as halves and fourths, and decimals such as tenths.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

1 What number on the number line does point Q best represent?

Q

1 2

0

1

1

1 2

4

HINT D. HTEthe G I Look for a Pattern. The first few tic marks on number line are R Y OP C S I .

R K E labeled. Follow the patternBto the next until you get MAST tic marks E OOname K L E O P N O I M B L A to point Q. IS S LACK THIS

TH

A 2

AB T O N FOR 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

1 B 2ᎏᎏ 2 C 3 1 D 3ᎏᎏ 2

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

4 TIAL ry and REASONING Spatial Reasoning Geomet Independent Practice Directions: Solve the problems on your own.

2 What number on the number line does point G best represent?

G

0

1 2

1 2

4

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

F 3 1 G 3ᎏᎏ 2 1 H 4ᎏᎏ 2

HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S LA pointFOYR best TH represent?

Bdoes THI numberOTline What number on the A N N E V S I G WAY. IT I T Y O N N A S SION I ODUCED IN Y S I M R PR PE BE RE O T 1 2 3 1 1 J 5

3

1

1

0

4

4

4

1

1

4

2

4

2 A 1ᎏᎏ 4 3 B 1ᎏᎏ 4 C 2 2 D 2ᎏᎏ 4 39 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .

4 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet 4 What number on the number line does point M best represent?

M

0

1 4

3 4

1

1

1 4

2

2 F 2ᎏᎏ 4 1 G 2ᎏᎏ 4

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

3 H 1ᎏᎏ 4 2 J 1ᎏᎏ 4

5 What number on the number line does point R best represent?

R

0 A 0.5 B 0.6 C 0.8

0.1

HTED. G I R Y IS COP STER. K O O 0.3 AM0.4 PLE B CKLINE MA IS BOOK 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

1

D 0.9

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

4 TIAL ry and REASONING Spatial Reasoning Geomet 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

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 .

4 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet 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

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

4 TIAL ry and REASONING Spatial Reasoning Geomet

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

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 .

4 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet

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

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

4 TIAL ry and REASONING Spatial Reasoning Geomet

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

45 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N 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 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet

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 .

4 TIAL ry and REASONING Spatial Reasoning Geomet

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 .

4 SPAT GEOMETRY Geometry and Spatial Reasoning Geomet

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

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

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

S TA A R 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 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 WAY. IT Y OT N N A S I N I ISSION PRODUCED M R E P RE TO BE