D M AT H
S T R A N D - B Y- S T R A N D
STATISTICS PROBABILITY PLE — AND —
SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
TED. H IVEN G I G R T Y O P O N IS N Y. K IS C O I O S O S I B MPLE TER. PERM IN ANY WA A S S I TH E MAS EPRODUCED N I L K C A BLA O BE R T T O K N O IT IS IS BO H T R FO C O NNE C TE D T O T HE
C O M M O N C O R E S TA N D A R D S
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 by Strand
………….. Math Strand-by-Strand Aligned to the Common Core State Standards Grade Levels 3–8
• Focuses on 5 specific math strands Number Sense & Operations, Measurement, Geometry, Statistics & Probability, Algebra
• Guided & independent practice with hints Each book provides math problem-solving practice. Hints offer strategies to help students solve the problem
Class Set: 10 Copies of each Strand Book – Total of 50 books Level C D E F G H
Grade 3 4 5 6 7 8
______ 6002-5 6003-2 6004-9 6005-6 6006-3 6007-0
----------------------------------------------
888-99-RALLY www.RALLYEDUCATION.com
LEVEL MAT H
D
S T R A N D - B Y- S T R A N D
STATISTICS PROBABILITY — AND —
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI CT ED C A L C O NNE E RETPO T HE B B A O T T O K IT IS N THIS BOO OR CFOM MON C OR E S TA N D AR D S
1 © 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 .
To the Teacher Math Strand-by-Strand prepares students to succeed on the student expectations that appear on math tests. The program is organized into five books: • Number Sense and Operations • Algebra • Geometry • Measurement • Statistics and Probability Each student expectation 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:
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
Use Manipulatives or Act Out Write a Number Sentence, Use Ratio or Proportion Guess and Check Look for a Pattern
In the Independent Practice section, students respond to four math problems for each student expectation on their own. D.
GHTE I GIVEN R T Y O P N O C In each book, there are student expectations particular level as K ISfrom the ION IS Agrade O S . O S Y I B M E W R PL well as, when appropriate, student grade that ANY R. PEfromCEDtheINprevious E S SAM expectations I T H S T A are important building blocks forIN to review. EM RODU L students P K E C A R L B TO BEto the Common Core State Standards: OT A are K N O The RALLY! Math Strands connected S O I IT HIS B FOR T • Operations & Algebraic Thinking • Number & Operations in Base Ten • Number & Operations—Fractions • Measurement & Data • Geometry
ISBN 978-1-4204-6285-2 R 6285-2 Copyright ©2012 RALLY! EDUCATION. All rights reserved. No part of the material protected by this copyright may be reproduced in any form by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without permission in writing from the copyright owner. Printed in the U.S.A. 0811.MAQ RALLY! EDUCATION • 22 Railroad Avenue, Glen Head, NY 11545 • (888) 99-RALLY
2 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
Contents – Statistics and Probability Collection of Data. . . . . . . . . 4 Grade 3 Student Expectation
Guided Practice
Independent Practice
3.S.1 . . . . . . . . . . . . 5 . . . . . . . . 6 3.S.2 . . . . . . . . . . . . 8 . . . . . . . . 9 Grade 4 Student Expectation
Guided Practice
Independent Practice
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
4.S.1. . . . . . . . . . . . 13 . . . . . . . 14 4.S.2. . . . . . . . . . . . 18 . . . . . . . 19
Organization and Display of Data . . . . . . . . . . 23 Grade 4 Student Expectation
Guided Practice
Independent Practice
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O Y I B MPLE TER. PERM IN ANY WA Analysis of Data. . . . . . . .IS. .SA34 TH MAS UCED D E O N I R L Grade 4 P K LAC BE RE A BIndependent O T T Student Guided O K N IS BOO IT Practice Expectation ISPractice H T R FO 4.S.3. . . . . . . . . . . . 24 . . . . . . . 26
4.S.4. . . . . . . . . . . . 35 . . . . . . . 36
Predictions from Data . . . . . 41 Grade 4 Student Expectation
Guided Practice
Independent Practice
4.S.5. . . . . . . . . . . . 42 . . . . . . . 43 4.S.6. . . . . . . . . . . . 47 . . . . . . . 48
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 .
Collection of Data E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
Student Expectation
3.S.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Formulate questions about themselves and their surroundings 3.S.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 Collect data using observation and surveys, and N TED. record appropriately T GIVE YRIGH
NO COP S I S I N K O I O S Y. 4.S.1 . . . . . . . . . . . .M. P . L. E. .B.O. . . . . P . .ER . .M.IS. . . . . . N .Y . .W .A 13 A A . IN THIS S to Design investigations address ASTERa question CEDfrom M U D E O N I R L given data A BLACK E REP B O T T O T IS N THIS BOOK I 4.S.2 . . .F.O.R. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 Collect data using observations, surveys, and experiments and record appropriately
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 .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 3.S.1 1
Collection of Data Formulate questions about themselves and their surroundings
Sandy is going to survey her classmates to find out their favorite color. Which question is the best question for her survey?
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
HINT Guess and Check. Look at each answer choice. Which question would give Sandy the information she wants about her classmates’ favorite color?
A Do you like the color blue?
. B Do you think that red is a better color than green? IGHTED C D
GIVEN T YR O P N O C What is your favorite color? K IS ION IS AY. O S O S I B M E YW P ER MPL N A A . S Do you like the color red? R N I E S I TH MAST UCED D E O N I R L P K E A BLAC K TO BE R T O N IT IS IS BOO H T R FO
5 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
Independent Practice Directions: Solve the problems on your own.
2
Andy is going to survey his classmates to find out their favorite fruit. Which question is the best question for his survey? A Do you like bananas? B What is your favorite fruit? C How many oranges did you eat this week?
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
D Do you think apples are better than oranges?
3
Conner is going to survey his classmates to find out their favorite juice. Which question is the best question for his survey? A What is your favorite juice?
B Do you think that orange juice is better than apple juice?
. GHTED OT GIVEN I R Y P N CO drink Othis ISweek? IS you D How many glasses of orange juice did N K I O S O S I M WAY. LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN I R ACKLher L Michelle is going toAsurvey classmates E REP to find out their favorite B B O T T O OOKbest question for her survey? animal. Which isBthe IT IS Nquestion S I H T FOR C Do you like apple juice?
4
A Do you like cats?
B What is your favorite animal? C Do you think that cats are better than dogs? D Do you like fish?
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 .
5
Frank is going to survey his classmates to find out their favorite sport. Which question is the best question for his survey? A What is your favorite sport? B Do you think that baseball is better than soccer? C Do you like football? D Do you think that softball is better than hockey?
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 3.S.2
1
Collection of Data Collect data using observation and surveys, and record appropriately
Tony surveyed his classmates about their favorite flavor of frozen yogurt. He recorded his results in a tally table and then made a frequency table. The tables are shown below.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
FAVORITE YOGURT FLAVOR Yogurt Flavor
Tally
Chocolate Caramel
FAVORITE YOGURT FLAVOR
5 5 1
Yogurt Flavor
Frequency (Number of Students)
111
Chocolate
11
ED. 3 GIVEN T H G I COPYR ON IS NO5T Strawberry S I K Vanilla 5 ISSI BOO M E W5AY. L R E P Y P M N Vanilla A A . THIS S NE MASTER ODUCED IN KLI C A REPR L E B B A O T T In the frequency K the incorrect frequency for Strawberry. OOwrote IS NOtable,HITony B T I S T What is the correct FORfrequency for Strawberry?
Strawberry
Caramel
5 1
HINT Guess and Check. Count the number of tally marks for Strawberry. Then check each answer choice by comparing your number to it.
A 3 B 4 C 6 D 7
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 .
Independent Practice Directions: Solve the problems on your own.
2
Julie surveyed her classmates about their favorite sport. She recorded her results in a tally table and then made a frequency table. The tables are shown below. FAVORITE SPORT Sport Baseball Basketball Football Soccer
FAVORITE SPORT
Tally
Sport
Frequency (Number of Students)
5 11
Baseball
4
4
Basketball
7
5 111
Football
4
Soccer
8
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 5
. In the frequency table, Julie wrote the incorrect frequency one N the IVEof GHTED for I G R T Y O P sports. Which sport has an incorrect frequency? IS CO N IS N A B C D
ISSIO BOOK M E WAY. L R E P Y P M N A Baseball A . THIS S NE MASTER ODUCED IN R Basketball KLI C A L E REP B B A O T T O K Football IT IS N THIS BOO FOR Soccer
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 .
3
Simon surveyed his classmates about the number of pets they have. He recorded his results in a tally table and then made a frequency table. The tables are shown below. STUDENT PETS Animal
Tally
Bird
11
Cat Dog Fish
STUDENT PETS Animal
Frequency (Number of Students)
5 5 1
Bird
2
5 4
Cat
11
5
Dog
10
Fish
5
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
In the frequency table, Tony wrote the incorrect frequency for Dog. What is the correct frequency for Dog? A 8 B 9 C 11 D 12
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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
Sheila surveyed her classmates about how they get to school. She recorded her results in a tally table and then made a bar graph. The table and graph are shown below. GETTING TO SCHOOL Type of Transportation
Tally
Bicycle
4
Bus
5 111
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Car
5
Walk
5 11
Number of Students
GETTING TO SCHOOL
12 10
. GHTED OT GIVEN I R Y P 8 IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . 6 THIS S NE MASTER ODUCED IN R KLI C A L 4 E REP B B A O T T O K IT IS 2N THIS BOO FOR Bicycle
Bus
Car
Walk
Type of Transportation In the bar graph, Sheila made one of the bars too long. Which type of transportation did she graph incorrectly? A Bicycle B Bus C Car D Walk 11 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
5
Carol surveyed 2 classes of fourth graders about their favorite season. She recorded her results in a tally table and then made a frequency table. The tables are shown below. FAVORITE SEASON Season
Tally
Winter
5 111
Spring Summer Fall
FAVORITE SEASON Season
Frequency (Number of Students)
5 5 5 11
Winter
8
5 5 5
Spring
15
5 5
Summer
15
Fall
10
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
In the frequency table, Carol wrote the incorrect frequency for Spring. What is the correct frequency for Spring? A 13 B 14 C 16 D 17
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
12 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 4.S.1 1
Collection of Data Design investigations to address a question from given data
Robert found the data shown below in a newspaper. LONGEST UNITED STATES RIVERS
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Name
Length (in miles)
Missouri
2,540
Mississippi
2,340
Yukon
1,980
Rio Grande
1,900
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI the St.NLawrence EB How many miles longer is the River than WAY River? LMissouri R E P Y P M A A . THIS S NE MASTER ODUCED IN R KLI C HINT A L E REP B B A O T T NO Write Sentence. BOOK You need to find how many miles longer IT IaS Number S I H T the Missouri FORRiver is than the St. Lawrence River. Write a number St. Lawrence
1,900
sentence using the data in the table. Decide whether you need to add, subtract, multiply, or divide.
A 740 B 640 C 560 D 440
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 .
Independent Practice Directions: Solve the problems on your own.
2
Paige found the data shown below in an almanac. LONGEST UNITED STATES SUSPENSION BRIDGES Name
Length of Main Span (in feet)
Verrazano-Narrows
4,260
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Golden Gate
4,200
Mackinac
3,800
George Washington
3,500
Tacoma Narrows
2,800
How long is the main span of the Mackinac Bridge?
. GHTED OT GIVEN I R Y P 4,200 feet IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N 3,800 feet A A . THIS S NE MASTER ODUCED IN 2,800 feet R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
A 4,260 feet B C D
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 .
3
Carter found the data shown below in an almanac. INTERNET USERS IN 2006 Country
Number of Users
United States
210,200,000
China
131,100,000
Japan
90,900,000
India
67,600,000
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Germany
50,300,000
What is the total number of internet users for the 5 countries listed in the table? A 482,500,000
B 499,800,000
C 550,100,000
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
D 650,000,000
15 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
4
Mr. Thomas found the data shown below in a newspaper. 2006 POPULATION NEW YORK COUNTIES County
Population
Albany
297,556
Allegany
50,267
Bronx
1,361,473
Broome
196,269
Cattaraugus
81,534
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
In 2006, how many more people lived in Albany County than in Cattaraugus County? A 216,022
B 226,022
. GHTED OT GIVEN I R Y P 257,289 IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
C 247,289 D
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 .
5
Cheryl found the data shown below in an almanac. BASEBALL GAME AVERAGE ATTENDANCE Year
Attendance
1985
27,510
1990
24,771
1995
23,521
2000
37,956
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 2005
50,499
How much greater was the game average attendance in 2005 than in 1995? A 22,989 B 25,728 C 26,878 D 26,978
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 4.S.2
1
Collection of Data Collect data using observations, surveys, and experiments and record appropriately
Joshua surveyed his classmates about their favorite kind of music. He recorded his results in a tally table and then made a frequency table. The tables are shown below.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
FAVORITE MUSIC Music Rock Rap
FAVORITE MUSIC
Tally
Music
Frequency (Number of Students)
Rock
7
5 1
5 11
ED. 7 GIVEN T H G I COPYR ON IS NO5T Country S I K Pop 55 1 1 ISSI BOO M E WAY. L R E P Y P M N Pop 12 A A . THIS S NE MASTER ODUCED IN KLI C A REPR L Ethe B B A O In the frequency table, Joshua wrote incorrect frequency for Rock. T T K O S NO O I B T I S HI What is the correctRfrequency for Rock? FO T Country
Rap
5
HINT Guess and Check. Count the number of tally marks for Rock. Then check each answer choice by comparing your number to it.
A 4 B 5 C 6 D 8
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 .
Independent Practice Directions: Solve the problems on your own.
2
Brett surveyed his classmates about the number of pets they have. He recorded his results in a tally table and then made a frequency table. The tables are shown below. STUDENT PETS Animal Bird Cat Dog
STUDENT PETS
Animal Tally
Animal
Frequency (Number of Students)
55
Bird
1
551
Cat
11
111
Dog
11
Hamster
3
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 1
Hamster
. In the frequency table, Brett recorded the incorrectHfrequency N IVECat. G TED OT for I G R Y P What is the correct frequency for Cat? IS CO N IS A 9 B 10 C 12 D 13
ISSION Y WAY. BOOK M E L R E P AM AN . P THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
3
Carol surveyed her classmates about their favorite fruit. She recorded her results in a tally table and then made a bar graph. The table and graph are shown below. FAVORITE FRUIT Fruit
Fruit Tally
Apple
51
Banana
5111
Grapes
111
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Orange
5
Pear
11
FAVORITE FRUIT
Number of Students
12 10
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O 6 MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN 4 R KLI C A L E REP B B A O T T O BOOK 2IT IS N S I H T FOR 8
0
Apple
Banana
Grapes
Orange
Pear
Fruit In the bar graph, Carol made one of the bars too long. Which fruit did she graph incorrectly? A Apple B Banana C Grapes D Orange 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
Cesar surveyed his two fifth-grade classes about their favorite type of activity. He recorded his results in a tally table and then made a bar graph. The table and graph are shown below. FAVORITE ACTIVITY Type of Activity
Tally
Board Game
551
Movie
5
Puzzle
4
Reading
5111
Playing Outside
5511
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 FAVORITE ACTIVITY
Number of Students
14 12
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O 8 O MI WAY LE B R E P Y P M N A A . 6 THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A 4 O T T O K IT IS N THIS BOO 2 FOR
10
0
Board Game
Movie
Puzzle
Reading
Playing Outside
Type of Activity In the bar graph, Cesar made one of the bars too short. Which type of activity did he graph incorrectly? A Movie B Puzzle C Reading D Playing Outside 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 .
5
Madeleine surveyed her classmates about their favorite school clubs. She recorded her results in a table and then made a bar graph. The table and the graph are shown below. SCHOOL CLUBS Club
Number of Students
Science
7
Photography
9
Chess
4
Sports
12
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 SCHOOL CLUBS
Number of Students
12 10 8
. GHTED OT GIVEN I R Y P 6 IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . 4 THIS S NE MASTER ODUCED IN R KLI C A L E REP B B 2 A O T T O K IT IS N THIS BOO 0 FOR Science Sports Chess Photography Club
In the bar graph, Madeleine made one of the bars too short. Which club did she graph incorrectly? A Science B Sports C Chess D Photography
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 .
Organization and Display ofE Data
L P M SA N O I T Student Expectation UCA D E ! Y L L Y L A L R A R . 9 9 . 888
4.S.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Represent data using tables, bar graphs, and pictographs .
GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 4.S.3 1
Organization and Display of Data Represent data using tables, bar graphs, and pictographs
The students at Tammy’s school are collecting newspapers to recycle. The table below shows the number of pounds of newspapers each grade collected during October and November.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 NEWSPAPER COLLECTION
Grade
Pounds Collected in October
Pounds Collected in November
2
50
75
3
75
100
ED. GHT150 I GIVEN R T Y O P N O C N IS 5 200OOK IS IO200 S S I B M E WAY. L R E P Y P M N A A . THIS S NE MASTER ODUCED IN Part A KLIpoundsBEofRnewspapers EP R C A L What is the total number of each grade collected? B A O T T O K N O S O I IT HIS B FOR T HINT 4
100
Write a Number Sentence. For each grade, use the information in the table to write a number sentence to find the total number of pounds.
Grade 2
pounds
Grade 3
pounds
Grade 4
pounds
Grade 5
pounds
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 .
Part B On the grid below, make a bar graph that shows the total number of pounds of newspapers each grade collected. Be sure to • title the graph • label both axes • provide a scale for the graph • graph all of the data
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
Independent Practice Directions: Solve the problems on your own.
2
The students in Ms. Carter’s class voted for their favorite fruit. The results are shown in the table below. FAVORITE FRUIT Type of Fruit
Number of Votes
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Apples
8
Bananas
5
Grapes
4
Plums
7
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
On the grid below, make a bar graph to show how many students voted for each type of fruit. Be sure to • title the graph • label both axes • provide a scale for the graph • graph all of the data
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
27 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
3
The table below shows the times that Mark’s classmates usually go to bed at night. STUDENT BED TIMES Time
Number of Students
8:30 P.M.
3
9:00 P.M.
6
9:30 P.M.
7
10:00 P.M.
2
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
28 © 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 .
On the grid below, make a bar graph to show how many students go to bed at each time. Be sure to • title the graph • label both axes • provide a scale for the graph • graph all of the data
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
29 © 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
The students in Mr. Scheer’s class voted for their favorite animal. The results are shown in the table below. FAVORITE ANIMAL Type of Animal
Number of Votes
Cat
9
Dog
8
Fish
2
Hamster
5
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
On the grid below, make a bar graph to show how many students voted for each type of animal. Be sure to • title the graph • label both axes • provide a scale for the graph • graph all of the data
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
5
The students at Derrick’s school signed up to help at the School Carnival. The table below shows the number of students from each grade that will help on Friday and Saturday. SCHOOL CARNIVAL HELP Grade
Students on Friday
Students on Saturday
2
20
30
3
30
70
4
50
100
5
100
100
Part A
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
What is the total number of students from each grade that will help? Grade 2 Grade 3 Grade 4 Grade 5
students
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O students MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R LI Kstudents C A L E REP B B A O T T O K IT IS N THIS BOO FOR students
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 .
Part B On the grid below, make a bar graph that shows the total number of students from each grade that will help with the School Carnival. Be sure to • title the graph • label both axes • provide a scale for the graph • graph all of the data
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
Analysis of Data E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
Student Expectation
4.S.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 Read and interpret line graphs
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 4.S.4 1
Analysis of Data Read and interpret line graphs
Brady recorded the number of miles he walked on the treadmill each week. He entered his data on the line graph below.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 BRADY’S MILES
50
Miles
40 30 20
. GHTED OT GIVEN I R Y P 10 IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . 0 IS S WeekMA2STER WeekU3CED IN Week 4 WeekT1H KLINE BE REPROD C A L B OT A K TO Week IT IS N THIS BOO FOR According to the graph, how many miles did Brady walk in Week 3? HINT Use Manipulatives or Act Out. Move your finger along the horizontal axis to Week 3. Then move up to the point on the Week 3 line. Look left at the scale for miles to find the number of miles for Week 3.
A 50
C 40
B 45
D 25
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 .
Independent Practice Directions: Solve the problems on your own.
2
Hannah recorded the number of birds at her bird feeder for 4 days. She entered her data on the line graph below. BIRDS AT THE FEEDER 50
Birds
40 30 20 10 0
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 Thursday
Friday
Saturday
Sunday ED. T H G I GIVEN R T Y O P N O C Day K IS ION IS AY. O S O S I B M E YW P ER MPL N A A . S R N I E S I T cameUto TH howNmany CEDthe bird feeder According to the graph, MASbirds D E O I R L P K E on Sunday? A BLAC K TO BE R T O N IT IS IS BOO H T A 40 R FO B 35 C 30 D 25
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 .
3
Maria recorded the monthly snowfall for her town for 4 months. She entered the data in the line graph below. MONTHLY SNOWFALL
Snowfall (in inches)
12 10 8 6
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
4 2 0
November
December
January
February
Month
According to the graph, how many inches of snow fell in December? A 6 B 8 C 10 D 11
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
4
The line graph below shows the distance Mr. Chenney traveled over 5 hours at a constant rate of 60 miles per hour.
Total Distance (in miles)
DISTANCE AT 60 MILES PER HOUR 360 300 240 180
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
120 60 0
1
2
3
4
5
Time (in hours)
According to the line graph, how many miles does he travel after 4 hours? A 60 B 120 C 240 D 300
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
5
The line graph shows the number of students in the Mrs. Parker’s fifth grade class from 2004 to 2008.
Number of Students
MRS. PARKER’S CLASS 36 32 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 2004
2005
2006
2007
2008
Year
According to the line graph, how many students were in the Mrs. Parker’s class in 2005? ED. A 32 B 28 C 20 D 18
N T YRIGH IS NOT GIVE P O C K IS O O ISSION Y WAY. B M E L R E P AM AN . P THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
Predictions from Data E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
Student Expectation
4.S.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 Develop and make predictions that are based on data 4.S.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 Formulate conclusions and make predictions from graphs
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
41 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 .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 4.S.5 1
Predictions from Data Develop and make predictions that are based on data
The pictograph shows the number of people who visited the Parker City Science Museum over the last four months.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 SCIENCE MUSEUM VISITORS
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T K the museum continues to increase at NOpeople who If the number BOOvisit IT IS of S I H T FOR many people will most likely visit the science the same rate, how museum in June? HINT Look for a Pattern. Write down the number of visitors at the science museum for each month. Look for a pattern in the numbers. Do they increase or decrease? Use the pattern to help you answer the question. A 500
C 700
B 600
D 800
42 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
Independent Practice Directions: Solve the problems on your own.
2
Jared rides his bicycle every month. The table below shows the number of miles he rode over 5 months. JARED’S MILES Month
Miles
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 1
58
2
61
3
63
4
59
5
60
Which is the best estimate of the total number of weeks. it will take Jared EN HTED to ride a total of 600 miles? OT GIV PYRIG A 6 B 10 C 15 D 20
IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
3
Ivan is bringing 7 packs of juice to a party. The table below shows the total cost of juice based on the number of packs of juice bought. JUICE Number of Packs
Total Cost
2
$6.50
3
$9.75
4
$13.00
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
If the pattern in the table continues, how much will it cost for Ivan to buy 7 packs of juice? A $16.25 B $22.75 C $26.00 D $29.25
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
44 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
Students at the elementary school are selling tickets for a spaghetti dinner to raise money for a trip. The table below shows the amount of money they raised from ticket sales on each of the 5 days. SPAGHETTI DINNER FUNDRAISER Day
Money Raised
1
$75.00
2
$81.00
3
$83.00
4
$77.00
5
$79.00
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
Which is the best estimate of the total number of days it will take the students to raise a total of $800? A 6 B 8 C 10 D 12
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
45 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
5
Colleen practices shooting baskets at the basketball court every day after school. The pictograph below shows the number of baskets she made over 4 weeks. COLLEEN’S BASKETBALL PRACTICE
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
If the pattern continues, how many baskets will Colleen most likely make in week 7? A 7 B 15 C 18 D 21
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 4.S.6 1
Predictions from Data Formulate conclusions and make predictions from graphs
The students in Mrs. Cole’s class are voting for their favorite types of activities. Each student votes for 2 types of activities. The results are shown in the pictograph below.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 FAVORITE ACTIVITY
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO R What is the totalFOnumber of students who voted in Mrs. Cole’s class? HINT Use Manipulatives. Use 4 counters to represent each check mark in the graph. Then, put the counters in pairs since each student voted for 2 activities. Count the number of pairs to find the number of students. Show your work.
Answer
students
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 .
Independent Practice Directions: Solve the problems on your own.
2
Central Elementary School has a running club. Parker made the pictograph below to show the number of students in each grade that are members of the club. Parker did not complete the key. RUNNING CLUB MEMBERS
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O Part A MI WAY LE B R E P Y P M N A A . TER GradeU2CEhas D INfewer than 5 members. THIS5Smembers ASand M Grade 3 has more than D E O N I L PR LACKeach E inREthe B B How many members does pictograph represent? A O T T O K IT IS N THIS BOO FOR Answer
members
Part B Complete the pictograph to show that Grade 5 has 12 members.
48 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
3
Mr. Foster is planning a party for his baseball team. The team members are voting for their favorite type of sandwiches to have at the party. Each team member votes for 2 types of sandwiches. The results are shown in the pictograph below. FAVORITE SANDWICH TYPES
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
What is the total number of team members who voted?
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
Show your work.
Answer
team members
49 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
The bar graph below shows the number of customers at the Farmer’s Market each month for 5 months. CUSTOMERS AT FARMER’S MARKET
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
Part A
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
How many more customers did the Farmer’s Market have in July than in May? Show your work.
Answer
customers 50
© 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 .
Part B If this pattern continues, about how many customers will the Farmer’s Market have in October? Show your work.
Answer
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 customers
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
51 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
5
Mr. and Mrs. Shannon took a vacation at the beach with their children. The pictograph below shows the number of seashells the family collected each day for 4 days. SEASHELLS COLLECTED
Part A
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
The Shannon family collected 40 seashells on Wednesday. How many seashells does each seashell picture in the key represent? TED. EN
YRIGH IS NOT GIV P O C K IS O O ISSION Y WAY. B M E L R Answer seashells E P AM AN . P THIS S NE MASTER ODUCED IN I you found R your answer. On the lines below, explain KLhow C A L E REP B B A O T T O K IT IS N THIS BOO FOR
52 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 .
Part B How many more seashells were collected on Tuesday than on Sunday? Show your work.
Answer
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 seashells
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
53 © 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
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
54 © 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
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
55 © 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
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
56 © 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
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
D
Strand Strand BY
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
Math Strand-by-Strand provides instructional practice in math problem-solving. Students are taught several different problem-solving strategies. Each of the 5 math strands are in a separate book: • • • • •
Number Sense and Operations Algebra Geometry Measurement Statistics and Probability BOOK IS
. GHTED OT GIVEN I R Y P CO N IS N Y. O I S S I MPLE TER. PERM IN ANY WA A S S I TH MAS UCED D E O N I R L P K E A BLAC K TO BE R T O N IT IS IS BOO H T R FO