Staar math g prob stat sample

Applying the Readiness and Supporting TEKS for the STAAR

S TA A R MAT H

PROBABILITY

E L P M A S N O I STATISTICS T A C U D E !

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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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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 .

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PROBABILITY Probability and Statistics Probabilit AND 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 !

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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: Make a Chart or List, Graph, Sort Data STER. Work Backwards A M E ACKLIN Write a Number Sentence, Use Ratio or Proportion L B A S NOT OK TO BE Use a Formula or Rule I T I .

HTED R THIS BO Guess and Check PYRIG

CO N FO S E I V I K AY. G O W T O Y O B N N E A L In the Independent section, ION IS students SAMPPractice ED INrespond to four math problems S C S S U I I H D M T O for each TEKS on their PERown. REPR 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 978-1-4204-6340-8 R 6340-8 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 PRO ty STATISTICS and Statistics Probability and S Contents TEKS (7.10) . . . . . . . . . . . . . . 4

TEKS (7.12) . . . . . . . . . . . . . 35

TEKS Skill

TEKS Skill

Guided Practice

Independent Practice

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

Guided Practice

Independent Practice

(B) Readiness. . . . . 36 . . . . . . . 37 (A) Supporting. . . . 43 . . . . . . . 44

TEKS (7.11) . . . . . . . . . . . . . 17 TEKS Skill

Guided Practice

Independent Practice

E L P SAM ATION C U D E !

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(B) Readiness. . . . . 18 . . . . . . . 19 (A) Supporting. . . . 26 . . . . . . . 28

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 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 .

PROBABILITY Probability and Statistics Probabilit AND P P

TEKS (7.10) The student recognizes that a physical or mathematical model can be used to describe the experimental and theoretical probability of real-life events.

E L P SAM ATION C U D E !

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

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 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 PROBABILITY Probability ty STATISTICS andand Statistics Statistics Probability Probabilit AND PRO and S Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (7.10) The student recognizes that a physical or mathematical model can be used to describe the experimental and theoretical probability of reallife events.

(A) Supporting. The student is expected to construct sample spaces for simple or composite experiments.

E L P SAM ATION C U D E !

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1 Mrs. O’Halloran made lunch for her family. She made chicken soup and clam chowder. She made garden salad and Caesar salad. Which list shows all possible outcomes if a person picked one soup at random and one salad at random?

HINT Make a Chart or List. List the soups. For each soup, list each salad that could be eaten with the soup. Use this information to choose TER. the S A M E correct list below.

KLIN

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 (chicken, garden), (chowder, IVEN F Y WAY. K IS C Caesar) G O T O O B (chicken,Mgarden), (chicken, PLE (chowder, IN AN Caesar), (chowder, Caesar) N IS Ngarden), A D O I S E S C S S U I I TH OD (chicken, chowder), (chicken, Caesar), (chowder, chicken), PERM (chicken, REPRgarden), (chowder, garden), (chowder, Caesar)

D (chicken, Caesar), (chowder, Caesar), (chicken, chowder), (garden, Caesar)

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 .

PROBABILITY Probability and Statistics Probabilit AND Independent Practice Directions: Solve the problems on your own.

2 Jermaine brought snacks for the student council meeting. He brought red, yellow, and green apples. He brought milk and juice. Which list shows all possible outcomes if a person picked one kind of apple at random and one drink at random?

F (red, yellow), (milk, juice), (green, juice) G (red, milk), (yellow, juice), (green, milk)

E L P SAM ATION C U D E !

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H (red, milk), (red, juice), (yellow, milk), (yellow, juice), (green, milk), (green, juice) J (milk, juice), (milk, red), (milk, green), (yellow, red), (yellow, juice), (yellow, green)

3 Ricky made dinner for his family. He made hamburgers and cheeseburgers. He made corn on the cob and green beans. Which list shows all possibleAoutcomes STER. M E IN if a person picked one burger at random and one vegetableCat KLrandom?

A B C

A BLA BE T O N (hamburger, corn), (cheeseburger, corn),IT(hamburger, OK TO . IS IS BObeans), D E T H (cheeseburger, beans) PYRIG EN FOR TH .

O C S I (hamburger, corn), (hamburger, IV AY cheeseburger), Gbeans), OK(cheeseburger, W T O Y O B N N E A L (corn,Sbeans) MP ION IS ODUCED IN S S I HIS A Pcheeseburger), M T(hamburger, R beans), (hamburger, beans), ER REP(corn,

(cheeseburger, corn) D (hamburger, corn), (cheeseburger, beans)

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 PRO ty STATISTICS and Statistics Probability and S 4 Alexa made presents for her friends. She made purple bracelets and pink bracelets. She made blue necklaces, white necklaces, and green necklaces. Which list shows all possible outcomes if a friend picked one bracelet at random and one necklace at random?

F (pink, blue), (purple, blue), (pink, white), (purple, green) G (purple, pink), (purple, white), (purple, green), (white, pink), (pink, green) H (purple, blue), (pink, white), (purple, green) J (purple, blue), (purple, white), (purple, green), (pink, blue), (pink, white), (pink, green)

E L P SAM ATION C U D E !

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5 Mr. Walzak brought goodies for the finishers of the race. He brought red, green, and black water bottles. He brought cinnamon bagels and plain bagels. Which list shows all possible outcomes if a person picked one water bottle at random and one bagel at random?

A (green, cinnamon), (green, plain), (black, cinnamon), (black, plain) B (red, cinnamon), (green, plain), (black, cinnamon), (black, plain) C (red, cinnamon), (red, plain), (green, cinnamon), (green, plain), (black, R. cinnamon), (black, plain) MASTE

LINE

K D (red, cinnamon), (red, plain), (green, cinnamon), (green, (black, BLACplain), A T E O B N cinnamon), (black, plain), (cinnamon, plain) K TO IT IS 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 THIS S PERMISSI EPRODUCE R

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 .

PROBABILITY Probability and Statistics Probabilit 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 .

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

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

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

4 PRO ty STATISTICS and Statistics Probability and S 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 .

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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 .

PROBABILITY Probability and Statistics Probabilit AND Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (7.10) The student recognizes that a physical or mathematical model (including geometric) can be used to describe the experimental and theoretical probability of real-life events.

(B) Supporting. The student is expected to find the probability of independent events.

E L P SAM ATION 1! EDUC Y L L 2 A R 3 99.RALLY .

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1 Cayden tosses a 1–6 number cube and spins the spinner shown below.

Blue

Red

STER. A M E ACKLIN L Green Yellow 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 AN outcome 3, red?

IS N will PLE IN the Mprobability N Cayden What isS the that get A D O I S E S C S U I I D TH PERM REPRO HINT Use a Formula or Rule. Multiply to find the probability of two independent events.

1 A ᎏ 2ᎏ 4 1 B ᎏ 1ᎏ 0 C ᎏ1 6ᎏ D ᎏ1 4ᎏ

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 PRO ty STATISTICS and Statistics Probability and S Independent Practice Directions: Solve the problems on your own.

2 Madelyn spins the two spinners shown below.

U

7

A

1

E L P SAM ATION C U D E !

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7

E

3

5

I

What is the probability that she will spin A, 7?

STER. A M E ACKLIN L B A ᎏ2 S NOT OK TO BE I T I 5ᎏ .

GHTED OR THIS BO I R Y P 1ᎏ O ᎏ IVEN F Y WAY. K IS C G 25 O T O O B MPLE SSION IS N UCED IN AN A S 2 S I I D ᎏ TH5ᎏ 2 PERM REPRO

F ᎏ1 5ᎏ G H J

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 .

PROBABILITY Probability and Statistics Probabilit AND 3 Anthony tosses a 1–6 number cube. Then he chooses a card from the cards below, without looking.

1

2 3

E L P SAM ATION C U D E !

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What is the probability that Anthony will get the outcome even, star?

1ᎏ A ᎏ 60 8ᎏ B ᎏ 60 C ᎏ1 4ᎏ

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

TED IS BO that she will get GHWhat Hprobability I T R Y R Rayna tosses two 1–6 number cubes. is the P O O IVEN F Y WAY. K IS C G O the outcome 3, odd?

T O O B MPLE SSION IS N UCED IN AN A S S I D T1Hᎏ ERMI P F ᎏ REPRO 36 D ᎏ1 2ᎏ

4

1 G ᎏ 1ᎏ 2 H ᎏ1ᎏ 8 J ᎏ1ᎏ 6

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 PRO ty STATISTICS and Statistics Probability and S 5 Tommy writes the numbers 1–8 on a set of index cards, one number per card.

He writes the letters A–E on another set of index cards, one letter per card.

Tommy chooses one number and one letter, without looking. What is the probability that Tommy will get the outcome even, E? 1ᎏ A ᎏ 40 1ᎏ B ᎏ 13 1ᎏ C ᎏ 10 D ᎏ3 5ᎏ

E L P SAM ATION C U D E !

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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

13 © 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 .

PROBABILITY Probability and Statistics Probabilit AND Choose One: • Write directions for how to solve one of the practice problems.

• What questions would you like to ask your teacher to help you better understand the math you have just learned?

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

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

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

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 PRO ty STATISTICS and Statistics Probability and S 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

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 .

PROBABILITY Probability and Statistics Probabilit AND

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

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

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

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 PRO ty STATISTICS and Statistics Probability and S

TEKS (7.11) The student understands that the way a set of data is displayed influences its interpretation.

E L P SAM ATION C U D E !

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(B) Readiness . . . . . . . . . . . . . . . . . . . . . 18 (A) Supporting . . . . . . . . . . . . . . . . . . . . 26

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

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 .

PROBABILITY Probability and Statistics Probabilit AND Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (7.11) The student understands that the way a set of data is displayed influences its interpretation.

(B) Readiness. The student is expected to make inferences and convincing arguments based on an analysis of given or collected data.

E L P SAM ATION C U D E !

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1 The data in the table below show the number of lunch items sold at the beach snack bar in one weekend.

Snack Bar

Lunch Item

Hotdog

Number Sold 120

STER. A M E Hamburger 90 ACKLIN L B A OT Grilled cheese O BE S N100 I T T K I O .

IS BO GHTED OR TH75 I R Chicken fingers Y P O IVEN F Y WAY. K IS C G O T O O B IS N IN AN 20 MPLE SCobb N salad A D O I S E S C S U I I D TH PERM REPRO

Which statement is best supported by these data?

HINT Guess and Check. Choose a statement from the answer choices. Test it to see if it is supported by the data. If it is not, guess again.

Continue until you’ve found the correct answer.

A There was a total of 405 people at the beach last weekend.

B The number of Cobb salads sold was 25% of the number of hamburgers sold.

C The number of hamburgers sold was 75% of the number of hotdogs sold.

D There were 305 people at the beach who did not like hotdogs.

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 .

4 PRO ty STATISTICS and Statistics Probability and S Independent Practice Directions: Solve the problems on your own.

2 The circle graph below shows the vendors at the school community sale.

Vendors at School Community Sale Pet Products 14%

E L P SAM ATION C U D E !

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8 8 8 Food 24%

Games 5%

Services 7%

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

GHTED OR THIS BO I R Y Clothes P Sporting IS CO IVEN F Goods K12% AY. G O W T O Y O B N N E A L AMP D IN 28% ON IS THIS S PERMISSI EPRODUCE R Accessories 10%

Which of the following statements is NOT supported by the graph?

1 F Sporting goods, clothes, and accessories make up ᎏᎏ of the vendors.

2 1 G A little more than ᎏᎏ of the vendors are selling food.

4 1 H A little more than ᎏᎏ of the vendors are selling sporting goods.

4 1 J Games and services make up less than ᎏᎏ of the vendors.

5

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 .

PROBABILITY Probability and Statistics Probabilit AND 3 Mr. Dembitsky kept a record of the times the train arrived at the station. The table below shows the percent of time that the train arrived on time or was late.

Train Arrivals Arrival Times

Percent of Time

On time

10

1 second to 5 minutes late

50

5 minutes 1 second to 10 minutes late

30

More than 10 minutes late

10

E L P SAM ATION C U D E !

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Which statement is supported by the data in the table?

A The train was more than 5 minutes late more than half the time.

B The train was 5 minutes 1 second to 10 minutes late most of the time.

C The train was on time or 1 second to 5 minutes late most of the time.

D The train was more than 5 minutes late most of the time.

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

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

20 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 PRO ty STATISTICS and Statistics Probability and S 4 The circle graph below shows the items at a garage sale.

Items at Garage Sale Tools 10%

Clothes 26%

Camping Gear 13%

E L P SAM ATION C U D E !

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Kitchen Supplies 12%

Baby Gear 39%

STER. A M E CKLIN A L B A Which of the following statements is NOT supported by the graph?

S NOT OK TO BE I T I .

GHTED OR THIS BO I R Y 1 P F or camping F More than ᎏᎏ of theKitems IS COwere Teither IVENtools AY. gear.

G W 4E BOO Y O N N A L IN MP N IS HIS SA 1PERMISSIO EPRODUCED T G More than ᎏᎏ of the itemsRwere baby gear or kitchen supplies.

2

H There was more baby gear than anything else at the garage sale.

1 J About ᎏᎏ of the items were clothes.

4

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 .

PROBABILITY Probability and Statistics Probabilit AND 5 The data in the table below show the number of beads Laura bought yesterday.

Beads Laura Bought Type of Bead

Number Bought

Glass

45

Silver

17

Gold

38

Copper

86

Gemstone

124

E L P SAM ATION C U D E !

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Which statement is best supported by these data?

A Laura bought three times as many glass beads as silver beads.

B Laura does not like silver beads.

C Laura bought twice as many copper beads as glass beads.

D More than half of the beads Laura bought were either gold or gemstone.

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 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 PRO ty STATISTICS and Statistics Probability and S 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

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 .

PROBABILITY Probability and Statistics Probabilit AND Choose One: • Write two math problems that are similar to the ones you have just solved.

• What is something you would like to do or learn about in math class?

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

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

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

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 PRO ty STATISTICS and Statistics Probability and S

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

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 .

PROBABILITY Probability and Statistics Probabilit AND Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (7.11) The student understands that the way a set of data is displayed influences its interpretation.

(A) Supporting. The student is expected to select and use an appropriate representation for presenting and displaying relationships among collected data, including line plot, line graph, bar graph, [stem and leaf plot,] circle graph, and Venn diagrams, and justify the selection.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

1 A survey asked 50 students which activities they like to participate in during the fall. The results of the survey are shown in the table below.

Fall Activities

STER. A M E CKLIN baking 5 T A BLA O BE S NO I T T K I O . football games GHTED 25 IS BO I TH R Y R P O O F C N S E I hiking 20 V AY. GI OK W T O Y O B N N E A L AMP D IN ON IS THIS S PERMISSI EPRODUCE R Type of Activity

Number of Students

26 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 PRO ty STATISTICS and Statistics Probability and S Which circle graph best represents the data in this table?

HINT Write a Number Sentence. Find the percent of the whole for each activity. Then use that information to choose the circle graph that has sections that are the correct sizes.

Fall Activities

Fall Activities Hiking

A

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

Baking

Baking

B

Hiking

Football Games

C

Football Games

STER. A M E ACKLIN L B A Fall Activities BE O Activities S NOT OKFall I T T I .

Football GHTED OR THIS BO I R Hiking Y Games P O F C N S E I .

V Y OT GI IN ANY WA BOOK N E L S I P M A D D ON THIS S PERMISSI EPRODUCE R Hiking Football Games Baking

Baking

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 .

PROBABILITY Probability and Statistics Probabilit AND Independent Practice Directions: Solve the problems on your own.

2 A survey asked 45 students which activities they like to participate in after school. The results of the survey are shown in the table below.

After-School Activities Type of Activity

Number of Students

visiting friends

15

reading

15

playing games

15

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

Which circle graph best represents the data in this table?

After-School Activities

After-School Activities

F

STER. A M E N Visiting LACKLI Playing Visiting Reading B A T Friends Games E Friends O B N . IT IS IS BOOK TO D E T H G H OPYRI IVEN FGOR T Y. C S I OT G IN ANY WA BOOK N E L S I P M A D ON THIS S PERMISSI EPRODUCE R Playing Games

Reading

After-School Activities

After-School Activities Visiting Friends

Visiting Friends

Playing Games

H

J Reading Playing Games Reading

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 PRO ty STATISTICS and Statistics Probability and S 3 A survey asked 80 students which snacks they like to eat. The results of the survey are shown in the table below.

Snacks Type of Snack

Number of Students

pretzels

20

apples

40

celery

20

Which circle graph best represents the data in this table?

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8 Snacks

pretzels

Snacks apples

pretzels

apples

B

A

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

GHTED OR THIS BO I R Y P O IVEN F Y WAY. K IS C G O Snacks T O Snacks O B AN SN I PLE N I M N A D O I S E ISS DUC THIS PERM pretzels apples REPRO C

D pretzels

celery apples

celery

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 .

PROBABILITY Probability and Statistics Probabilit AND 4 A survey asked 60 students which juice they like to drink with breakfast.

The results of the survey are shown in the table below.

Juice with Breakfast Type of Juice

Number of Students

cranberry

20

orange

30

tomato

10

Which circle graph best represents the data in this table?

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

Juice with Breakfast

Juice with Breakfast Cranberry

Orange

Orange

Cranberry

G

F

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

GHTED OR THIS BO I R Y P O Y. with Breakfast IVEN F Y WAJuice K IS C G O T O Juice with Breakfast O B N N E A L AMP ION IS ODUCED IN THIS S PERMISSOrange Orange REPR H

J

Cranberry

Cranberry

Tomato

Tomato

30 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 PRO ty STATISTICS and Statistics Probability and S 5 A survey asked 50 students which class they like to take in the morning.

The results of the survey are shown in the table below.

Morning Classes Class

Number of Students

Art

15

Music

30

P.E.

5

Which circle graph best represents the data in this table?

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

Morning Classes

Morning Classes Art

Music

Music

B

A

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

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

D Music

P.E. Art

P.E.

31 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 .

PROBABILITY Probability and Statistics Probabilit AND Choose One: • Write directions for how to solve one of the practice problems.

• What questions would you like to ask your teacher to help you better understand the math you have just learned?

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

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

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

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

4 PRO ty STATISTICS and Statistics Probability and S 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

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 .

PROBABILITY Probability and Statistics Probabilit AND

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

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

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

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 PRO ty STATISTICS and Statistics Probability and S

TEKS (7.12) The student uses measures of central tendency and range to describe a set of data.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

(B) Readiness . . . . . . . . . . . . . . . . . . . . . 36 (A) Supporting . . . . . . . . . . . . . . . . . . . . 43

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

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

35 © 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 .

PROBABILITY Probability and Statistics Probabilit AND Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (7.12) The student uses measures of central tendency and range to describe a set of data.

(B) Readiness. The student is expected to choose among mean, median, mode, or range to describe a set of data and justify the choice for a particular situation.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

1 Jared collected the following data during a science experiment.

Ball Drop Times Trial

Time (seconds)

1

11

STER. A M E 11 2 ACKLIN L B A 3 S17NOT OK TO BE I T I .

GHTED OR16THIS BO I R 4 Y P O F K IS C 5OT GIVEN 15 AY. O W O Y B N N E A L AMP D IN ON IS THIS S PERMISSI EPR6 ODUCE 14 R Which measure of data is represented by 14 seconds?

HINT Work Backwards. Find each measure (mean, mode, median, and range). Choose the one that is represented by 14 seconds.

A Mean B Mode C Median D Range

36 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 PRO ty STATISTICS and Statistics Probability and S Independent Practice Directions: Solve the problems on your own.

2 Renee collected the following data during a science experiment.

Penny Drop Times Trial

Time (seconds)

1

18

2

15

3

18

4

12

5

18

6

9

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

STER. A M E KLIN Which measure of data is represented by 18 seconds?A BLAC BE NOT O S I T T K I O .

F Mean GHTED OR THIS BO I R Y P O G Mode IVEN F Y WAY. K IS C G O T O O B H Median MPLE N IS N UCED IN AN A O I S S S S I I D TH J Range PERM REPRO

37 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 .

PROBABILITY Probability and Statistics Probabilit AND 3 Declan collected the following data during a science experiment.

Melting Times Trial

Time (minutes)

1

28

2

27

3

25

4

21

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8 5

30

6

21

Which measure of data is represented by 26 minutes?

A Mean B Mode

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

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

C Median D

38 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 PRO ty STATISTICS and Statistics Probability and S 4 Lydia collected the following data during a science experiment.

Sprouting Times Trial

Time (days)

1

10

2

15

3

18

4

10

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8 5

12

6

13

Which measure of data is represented by 8 days?

F Mean G Mode

STER. A M E Range 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

H Median J

39 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 .

PROBABILITY Probability and Statistics Probabilit AND 5 Darryl collected the following data during a science experiment.

Parachute Drop Times Trial

Time (seconds)

1

29

2

29

3

22

4

20

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8 5

21

6

23

Which measure of data is represented by 24 seconds?

A Mean B Mode

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

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

C Median D

40 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 PRO ty STATISTICS and Statistics Probability and S 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

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 .

PROBABILITY Probability and Statistics Probabilit AND Choose One: • Write two math problems that are similar to the ones you have just solved.

• What is something you would like to do or learn about in math class?

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

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

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

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 PRO ty STATISTICS and Statistics Probability and S Guided Practice Directions: Use the hint to help you solve the problem.

TEKS (7.12) The student uses measures of central tendency and range to describe a set of data.

(A) Supporting. The student is expected to describe a set of data using mean, median, mode, and range.

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

1 Ryan records the number of sit-ups he does each day, as shown below.

Day 1: 75

Day 2: 79

Day 3: 82

Day 4: 74

STER. A M E LIN of 78 sit-ups How many sit-ups must Ryan do on the sixth day to have AaCKmean L B A for the 6 days?

S NOT OK TO BE I T I .

GHTED OR THIS BO I R Y P O HINT IVEN F Y WAY. K IS C G O T O O B N sum of all the data divided Use a Formula Rule.

INis Athe MPLE Sor N IS NThe Umean A D O I S E S C S I I So, Dto have a mean of 78 sit-ups, the sum of THby the number PERM of data.

REPRO Day 5: 75

the sit-ups done in 6 days must be 78 ⫻ 6.

A 76 sit-ups B 78 sit-ups C 82 sit-ups D 83 sit-ups

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 .

PROBABILITY Probability and Statistics Probabilit AND Independent Practice Directions: Solve the problems on your own.

2 Melissa and her 5 friends played a card game in which the person with the lowest final score wins. The table below shows the final scores for all the players except Nick.

Card Game Player

Score

Melissa

140

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8 Nick

Danielle

195

Chris

114

Nicole

183

A.J.

133

STER. A M E ACKLIN L B A T E O Bwas S NOwas I T If Nick won the game and the range of the scores 84,Owhat T K I .

GHTED OR THIS BO Nick’s score?

I R Y P O IVEN F Y WAY. K IS C G O T O F 56 O B MPLE SSION IS N UCED IN AN A S S I G 111 I D TH PERM REPRO H 184 J 261

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 PRO ty STATISTICS and Statistics Probability and S 3 Emily records the number of pages she reads each day, as shown below.

Day 1: 65 Day 2: 24 Day 3: 75 Day 4: 73 Day 5: 84 How many pages must Emily read on the sixth day to have a mean of 68 pages for the 6 days?

A 63 B 68 C 87 D 92

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

4 Luis and his 5 friends played a card game in which the person with the highest final score wins. The table below shows the final scores for all the R. players except Blake.

MASTE

LINE K C A L OT A B TO BE Card Game N S I T BOOK TED. I S H I G H I T R PY OR COPlayer N FScore S E I V I K AY. G O W T O Y O B N N E Luis 65 A L AMP ON IS DUCED IN THIS S PERMISSI Blake REPRO Mia

55

Chloe

36

Kyle

43

Clara

63

If Blake won the game and the range of the scores was 57, what was Blake’s score?

F 8 G 57 H 80 J 93

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 .

PROBABILITY Probability and Statistics Probabilit AND 5 Hayden records the number of miles he runs each week, as shown below.

Week 1: 20 Week 2: 24 Week 3: 18 Week 4: 16 Week 5: 19 How many miles must Hayden run in the sixth week to have a mean of 22 miles for the 6 weeks?

A 22 B 32 C 35 D 38

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

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

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

46 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 PRO ty STATISTICS and Statistics Probability and S 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

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 .

PROBABILITY Probability and Statistics Probabilit AND Choose One: • Write two math problems that are similar to the ones you have just solved.

• What is something you would like to do or learn about in math class?

E L P SAM ATION C U D E !

Y L RAL 99.RALLY .

8 8 8

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

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

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

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