Applying the Readiness and Supporting TEKS for the STAAR
E L P STAAR SAM ATION C U D MATLYH E ! RAL 99.RALLY . 8 8 8
TED. H G I R COPY ER. S I K O T PLE BO CKLINE MAS IS BOOK M A S THIS A BLA EN FOR TH T O N . IT IS OT GIV IN ANY WAY N S I ISSION PRODUCED M R E P RE TO BE — AND —
PROBABILITY STATISTICS
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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
………….. 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
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Applying the Readiness and Supporting TEKS for the STAAR
E L P S TA A SAMR ATION C U MATH D E ! Y L RAL 99.RALLY . 8 8 8
HTED. G I R Y IS COP STER. K O O B A MPLE LACKLINE M HIS BOOK A S S I T TH OT A B GIVEN FOR N S I WAY. IT Y OT N N A S I SION CED IN S U I D M O R R PE REP TO BE
PROBABILITY — AND —
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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 ! 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 Write a Number Sentence, Use Ratio or Proportion
TED.
In the Independent Practice section, students respond YRIGHto four math problems P O C S I . for each TEKS on their own. BOOK ASTER
PLE NE M HIS BOOK I M L A K S C A S THIcan write R T journal. This journal is A BaLtwo-page Omath After each TEKS, students in T F O N N E . V S I G WAYabout IT I work and T Y O where students can show their answer questions the TEKS N N A S I N I N D O I E UC ISS they have just learned. PERM BE REPROD TO
ISBN 978-1-4204-6319-4 R 6319-4 Copyright ©2012 RALLY! EDUCATION. All rights reserved. No part of the material protected by this copyright may be reproduced in any form by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without permission in writing from the copyright owner. Printed in the U.S.A. 0711.MAQ RALLY! EDUCATION • 22 Railroad Avenue, Glen Head, NY 11545 • (888) 99-RALLY
2 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
4 PRO ty STATISTICS and Statistics Probability and S Contents TEKS (4.13) . . . . . . . . . . . . . . 4 TEKS Skill
Guided Practice
Independent Practice
(B) Readiness . . . . . 5 . . . . . . . . 7 (A) Supporting. . . . 13 . . . . . . . 14
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
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 .
PROBABILITY Probability and Statistics Probabilit AND P P
TEKS (4.13) The student solves problems by collecting, organizing, displaying, and interpreting sets of data.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
(B) Readiness . . . . . . . . . . . . . . . . . . . . . . 5 (A) Supporting . . . . . . . . . . . . . . . . . . . . 13
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 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 (4.13) The student solves problems by collecting, organizing, displaying, and interpreting sets of data. (B) Readiness. The student is expected to interpret bar graphs.
1 The graph below shows the supplies a drama club needs for their next performance.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Performace Supplies
Number of Items Needed
38 36 34 32 30 28 26 24 22 20 18 16 14 12 10 8 6 4 2 0
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
Bottled Water
Towels
Box Lunches
Mints
Item
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 The bottled water will be divided equally among 9 students. How many bottles of water will each student get? HINT Write a Number Sentence. Find the total number of bottles of water. Divide to find the number of bottles each student will get.
A 2 B 3 C 9 D 27
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
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 Independent Practice Directions: Solve the problems on your own. 2 The graph below shows the number of students in each fourth-grade class.
Fourth-Grade Classes 40 35
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
30 25
Number of 20 Students 15 10
5 0
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 Jones CEDMrs. IN Flores Mr. Godot Ms. DavisSION Mr. S U I D M O R PE REPR Teacher TO BE
The students in each class will be divided into 5 equal groups. How many students will be in each group in Mr. Godot’s class? F 5 G 6 H 24 J 30
7 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
PROBABILITY Probability and Statistics Probabilit AND 3 The graph below shows the number of points scored in each game that some friends made up.
Game Scores 30 27 24 21
Number 18 15 of Points 12
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 9 6 3 0
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In this game, each goal is worth 3 points. How many goals were made in . Game 3? IGHTED A 7 B 8 C 21 D 24
COPYR ER. S I K LE BOO KLINE MAST BOOK P M A THIS S OT A BLAC N FOR THIS IT IS N S NOT GIVE ANY WAY. SION I ODUCED IN S I M R PE REPR TO BE
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 PRO ty STATISTICS and Statistics Probability and S 4 The graph below shows the number of cars in a parking lot over a 4-day period.
Parking Lot 68 64 60 56 52 48 44 40 Number 36 of 32 Cars 28 24 20 16 12 8 4 0
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Friday
Saturday
Sunday
Monday
ED. IS CO STER. K O O A manyOrows The cars are parked in rows How PLofE 8B carsCKeach. NE M I M B OK of cars were L A S S I A S H I L T H B T parked on Monday? OT A N FOR IT IS N S NOT GIVE ANY WAY. F 5 SION I ODUCED IN S I M R PE G 7 REPR TO BE Item PYRIGHT
H 8
J 40
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 .
PROBABILITY Probability and Statistics Probabilit AND 5 The graph below shows the supplies a family needs for their next camping trip.
Camping Trip Supplies 30 27 24 21
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
Number 18 of 15 Items 12
9 6 3 0
Marshmallows
Hot Dogs
Hot Chocolate.
Sleeping Bags
ED IS CO STER. K O O E B among The hot dogs will be divided PLequally NE M6Apeople. OOK many hot dogs I M BHow L A K S S C I A S H I L T H B T will each person get? OT A N FOR IT IS N S NOT GIVE ANY WAY. A 18 SION I ODUCED IN S I M R PE B 12 REPR TO BE Item PYRIGHT
C 6 D 3
10 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
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 .
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
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
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 Guided Practice Directions: Use the hint to help you solve the problem.
TEKS (4.13) The student solves problems by collecting, organizing, displaying, and interpreting sets of data. (A) Supporting. The student is expected to use [concrete objects or] pictures to make generalizations about determining all possible combinations of a given set of data or of objects in a problem situation.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
1 The diagram below shows the types of meats and salads available at a restaurant buffet.
Meats Salads
Ham
Potato Salad
Turkey
Pasta Salad
Chicken
Spinach Salad
Salami
Fruit Salad TED.
Caesar Salad
YRIGH P O C S I . BOOK NE MASTER OOK E L P B AM ACKLI1 salad HISpossible? T How many combinations are BLand THIS S of 1OTmeat R A O NF IT IS N S NOT GIVE ANY WAY. HINT SION I ODUCED IN S I M R PR PE or Diagram. Draw a Picture BE RE Make a tree diagram showing all the O T possible combinations of 1 meat and 1 salad. Count the total number of combinations.
A 9 B 15 C 20 D 24
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 .
PROBABILITY Probability and Statistics Probabilit AND Independent Practice Directions: Solve the problems on your own. 2 Beth made thank-you cards for her friends. The diagram below shows the choices of card colors and ink colors she could use. Card Colors Ink Colors Orange
Silver
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Green
Gold
Blue
Black
Red
White
Purple
Yellow
How many different combinations of 1 card color and ED. 1 ink color T H G I are possible? PYR F 5 G 10 H 20 J 25
IS CO 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 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 The diagram below shows the types of fruits and vegetables available at a farmer’s market.
Fruits Vegetables
Apples
Bananas
Carrots
Plums Green Beans
Grapes
Oranges
Squash
How many combinations of 1 fruit and 1 vegetable are possible? A 4 B 8 C 12 D 15
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE
15 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
PROBABILITY Probability and Statistics Probabilit AND 4 Ruben made cupcakes for a bake sale. The diagram below shows the choices of cupcake flavors and frosting flavors he could use. Cupcake Flavor
Frosting Flavor
Vanilla
Vanilla
Chocolate
Chocolate
Lemon
Cherry Cream Cheese
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
How many different combinations of 1 cupcake flavor and 1 frosting flavor are possible? F 2 G 3 H 7 J 12
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 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 The diagram below shows the types of yogurt and toppings available at a salad bar.
Yogurts Toppings
Vanilla
Blueberry
Strawberry
Peach
Granola
Wheat Germ
Fresh Fruit
Carob Chips
How many combinations of 1 yogurt and 1 topping are possible? A 4 B 8 C 16 D 24
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 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
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 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
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
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
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE
20 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
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
HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE
21 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
PROBABILITY Probability and Statistics Probabilit AND
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE
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 .
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
HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE
23 © 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
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 .
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S S BLA THI A OR TH . T F O N N E V S I G WAY IT I T Y O N N A S SION I ODUCED IN S I M R PE REPR TO BE
STAAR MATH
E L P M SA N O I T A C U D E ! Y L RAL 99.RALLY 888.
HTED. G I R Y IS COP STER. K O O PLE B CKLINE MA IS BOOK M A S THIS A BLA EN FOR TH T O N AY. GIV W IT IS T Y O N N A ION IS ODUCED IN S S I M PER REPR E B O T