D M AT H
S T R A N D - B Y- S T R A N D
MEASUREMENT E L P SAM ATION C U D E ! Y L L Y L L RA A R . 9 9 888.
HTED. G I GIVEN R T Y O P N O N IS K IS C O I O S O S I B WAY. ERM PLE Y P M N A A . S R N THIS MASTE RODUCED I E N I L BLACK TO BE REP A T O K IT IS N THIS BOO FOR C O NNE C TED 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
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888-99-RALLY www.RALLYEDUCATION.com
LEVEL M AT H
D
S T R A N D - B Y- S T R A N D
MEASUREMENT 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 KLI ECT EBEDRETPOR T H E C A L C O NN B OT A K TO IT IS N THIS BOO OR CFOM MON CO R E STA N D A R 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
Draw a Picture or Diagram Use Manipulatives or Act Out Write a Number Sentence, Use Ratio or Proportion Use a Formula or Rule Guess and Check Make Estimates Look for a Pattern
. GHTED OT GIVEN I R Y P CO In the Independent Practice section, students to four IS Nmath problems IS respond N K O I O S O S I WAY. LE Bown. . PERM for each student expectation onAM their P Y N A THIS S NE MASTER ODUCED IN R LI In each book, there are student Kexpectations C A L E REPfrom the particular grade level as B B A O T T O well as, when appropriate, BOOKexpectations from the previous grade that T IS N THstudent I S I are important building for students to review. R FOblocks The RALLY! Math Strands are connected to the Common Core State Standards: • Operations & Algebraic Thinking • Number & Operations in Base Ten • Number & Operations—Fractions • Measurement & Data • Geometry ISBN 978-1-4204-6279-1 R 6279-1 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 – Measurement Units of Measurement . . . . . 4 Grade 4 Student Expectation
Guided Practice
Independent Practice
4.M.1 . . . . . . . . . . . 5 . . . . . . . . 6 4.M.2 . . . . . . . . . . . 7 . . . . . . . . 8 4.M.3 . . . . . . . . . . . 12 . . . . . . . 13 4.M.4 . . . . . . . . . . . 16 . . . . . . . 17 4.M.5 . . . . . . . . . . . 18 . . . . . . . 19 4.M.6 . . . . . . . . . . . 23 . . . . . . . 24 4.M.7 . . . . . . . . . . . 26 . . . . . . . 27
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
Units. . . . . . . . . . . . . . . . . . . 31 Grade 4 Student Expectation
Guided Practice
Independent Practice
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O B WAY RMI E Y P N A . TH ASTER ODUCED IN M E N I R LACKL E REP Ruler. . . . . . . . . . . N .O . T. .A. B. . . 48OK TO B IT IS IS BO H T R FO 4.M.8 . . . . . . . . . . . 32 . . . . . . . 33 4.M.9 . . . . . . . . . . . 37 . . . . . . . 38 MPLE 4.M.10 . . . . . . . . . . 40 . . . . I.S. S. A41
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 .
Units of Measurement E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
Student Expectation
4.M.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 Select tools and units (customary and metric) appropriate for the length being measured 4.M.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Use a ruler to measure to the nearest standard unit (whole, ᎏ1ᎏ and ᎏ1ᎏ inches, whole feet, whole yards, 2 4 . whole centimeters, and whole meters RIGHTED GIVEN
COPY ON IS NOT S I K I Y. 4.M.3 . . . . . . . . . . . . P . L. E. .B.O.O. . . . . .ER . .M.IS. S. . . . . . Y . .W .A 12 P M N A A . IN of Know and understand THIS S Nequivalent ASTER standard CEDunits M U D E O I R length: 12 inches 3Bfeet LA=CK1L foot, E RE=P 1 yard B A O T T IS NO HIS BOOK T I 4.M.4 . .F.O.R. .T. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
Select tools and units appropriate to the mass of the object being measured (grams and kilograms)
4.M.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 Measure mass, using grams 4.M.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 Select tools and units appropriate to the capacity being measured (milliliters and liters) 4.M.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 Measure capacity, using milliliters and liters
4 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 4.M.1
1
Units of Measurement Select tools and units (customary and metric) appropriate for the length being measured
Which measurement is most likely the length of a bicycle?
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
HINT Make Estimates. Make an estimate of how long you think a bicycle is. Then look at the answer choices for one that makes the most sense compared to your estimate.
A 4 kilometers
. GHTED OT GIVEN I R Y P IS CO SSION IS N . 4 meters K O O MI WAY LE B R E P Y P M N A A . 4 feet 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
B 4 inches C D
5 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
Independent Practice Directions: Solve the problems on your own.
2
Which measurement is most likely the height of a street light pole? A 10 kilometers B 10 inches C 10 meters D 10 centimeters
3
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
Which unit of measure is best to use for measuring the length of your shoe? A centimeter B kilometer C yard D mile
4
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI the height WAYof your LtoE Buse for. measuring Which unit of measure is best R E P Y P M N A A THIS S NE MASTER ODUCED IN classroom? R KLI C A L E REP B B O A centimeter NOT A T BOOK IT IS S I H T B kilometer FOR C foot D mile
5
Which measurement is most likely the width of a door? A 1 inches B 1 kilometer C 1 centimeter D 1 yard
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 .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 4.M.2
Units of Measurement 1ᎏ Use a ruler to measure to the nearest standard unit (whole, ᎏ2 1ᎏ inches, whole feet, whole yards, whole centimeters, and ᎏ4 and whole meters
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
1
Use your ruler to help you solve this problem. Cole drew the picture of a butterfly shown below.
. 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 inches wide is the butterfly? HINT Use Manipulatives or Act Out. Use your ruler to measure the width of the butterfly. Be sure you are measuring the width indicated by the line below the butterfly.
A 2ᎏ1ᎏ 2
3ᎏ B 2ᎏ4
C 3
1ᎏ D 3ᎏ2
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 .
Independent Practice Directions: Solve the problems on your own.
2
Use your ruler to help you solve this problem. What is the length of the key shown below?
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 ?
1ᎏ inches A 1ᎏ4 B 1ᎏ3ᎏ inches 4 C D
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K 1ᎏ inches O O 2ᎏ4 MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN 1 R 2ᎏ2ᎏ inches KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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3
Use your ruler to help you solve this problem. What is the length of the pencil shown below?
?
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
A 6 inches
B 6ᎏ1ᎏ inches 2 C 7 inches
1ᎏ inches D 7ᎏ4
. 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
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 .
4
Use your ruler to help you solve this problem. Casey drew the picture of the daisy shown below.
?
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
How many inches high is the picture of the daisy? A 1ᎏ1ᎏ 4 1ᎏ B 2ᎏ2 C 3ᎏ1ᎏ 2 D 4ᎏ1ᎏ 4
. 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 © 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
Use your ruler to help you solve this problem. What is the width of the button shown below?
?
A 1 inch
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
B 1ᎏ1ᎏ inches 2 3ᎏ inches C 1ᎏ4 D 2 inches
. 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
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 .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 4.M.3
1
Units of Measurement Know and understand equivalent standard units of length: 12 inches = 1 foot, 3 feet = 1 yard
Thomas is getting a new desk for his room. He measures the width of the desk. It is 4 feet 2 inches wide. How wide, in inches, is the desk?
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
HINT Use a Formula or Rule. You can use the rule 1 foot = 12 inches to find how many inches there are in 4 feet. Then find the total number of inches.
. 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
inches
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 .
Independent Practice Directions: Solve the problems on your own.
2
Mrs. Garcia is buying a new table. The length and width of the table are shown in the diagram below.
3 ft
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 6 ft
[not drawn to scale]
Part A
. GHTED OT GIVEN I R Y P The length of the table is 6 feet. What isISthe CO length,Oin S N of the table? Iyards, N K I O S O S I M WAY. LE B R E P Y P M N A A . THIS Syards ASTER ODUCED IN M Answer E N I LACKL TO BE REPR B A T O K IT IS N THIS BOO Part B FOR The width of the table is 3 feet. What is the width, in inches, of the table? Answer
inches
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 .
3
Sonia bought ribbon at the fabric store. The ribbon is 60 inches long. How many feet of ribbon did Sonia buy? Show your work.
Answer
4
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 feet
Ms. Dixon is putting up a shelf in the garage. She measures the length of the shelf. It is 7 feet 6 inches long. How long, in inches, is the shelf? Show your work.
. 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 Answer
inches
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 .
5
Olson’s Department Store is buying a large mirror to put on the wall. The length and width of the mirror are shown in the diagram below.
2 yd
4 yd
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 [not drawn to scale]
Part A
The length of the mirror is 4 yards. What is the length, in feet, of the mirror?
. 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 . Part B THIS S NE MASTER ODUCED IN R KLI C A L E REPis the width, in inches, of B B The width of theOmirror is 2 yards. What A O T T K IT IS N THIS BOO the mirror? FOR Answer
Answer
feet
inches
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 .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 4.M.4
1
Units of Measurement Select tools and units appropriate to the mass of the object being measured (grams and kilograms)
Which unit of measure is best for measuring how much a refrigerator weighs?
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. Eliminate any that are not used to measure weight. Then decide which one is best for measuring the weight of a large object like a refrigerator.
A gram
. GHTED OT GIVEN I R Y P IS CO SSION IS N . ounce K O O MI WAY LE B R E P Y P M N A A . kilogram 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
B liter C D
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 .
Independent Practice Directions: Solve the problems on your own.
2
Which unit of measure is best for measuring how much a canary weighs? A gram B meter C kilogram D centimeter
3
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
Which unit of measure is best for measuring how much an airplane weighs? A gram B ounce
C kilogram D liter
4
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI much NaYsubway E Bmeasuring WAY train Lfor Which unit of measure is best how R E P P M A A . THIS S NE MASTER ODUCED IN weighs? R KLI C A L E REP B B A O T A gram T O K IT IS N THIS BOO B meter FOR C quart D kilogram
5
Which unit of measure is best for measuring how much a toothpick weighs? A gallon B gram C kilogram D centimeter
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 .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 4.M.5 1
Units of Measurement Measure mass, using grams
What is the mass of the rock?
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
HINT Compute—Write a Number Sentence. Use the gram measurements to write a number sentence. Don’t forget to include all of the measurements shown on the balance.
. 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
A 20 grams B 25 grams C 45 grams D 65 grams
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 .
Independent Practice Directions: Solve the problems on your own.
2
What is the mass of the fork?
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 50 grams MI WAY LE B R E P Y P M N A A . 60 grams THIS S NE MASTER ODUCED IN R KLI C A L E REP 100 grams B B A O T T O K IT IS N THIS BOO FOR
A 40 grams B C D
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 .
3
What is the mass of the camera?
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
A 50 grams
B 70 grams
C 100 grams
. 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 120 grams
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
What is the mass of the toy car?
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
A 3 grams
B 20 grams
C 23 grams
. 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 200 grams
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 .
5
What is the mass of the computer mouse?
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
A 85 grams
B 100 grams
C 105 grams
. 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 200 grams
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 .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 4.M.6
1
Units of Measurement Select tools and units appropriate to the capacity being measured (milliliters and liters)
Which unit of measure is best for measuring the amount of water a bathtub can hold?
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. Eliminate any that are not used to measure capacity. Then decide which one is best for measuring how much water a bathtub can hold.
. GHTED OT GIVEN I R Y P kilogram IS CO SSION IS N . K O O MI WAY LE B R E P Y P M N liter A A . THIS S NE MASTER ODUCED IN R milliliter KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
A centimeter B C D
23 Š R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
Independent Practice Directions: Solve the problems on your own.
2
Which unit of measure is best for measuring the amount of milk a glass can hold? A milliliter B kilogram C gram
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
D centimeter
3
Which unit of measure is best for measuring the amount of gasoline a tanker truck can hold? A centimeter B kilogram
. GHTED OT GIVEN I R Y P IS CO SSION IS N . D milliliter K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN R KLI for measuring C A L Which unit of measure is best E REP the amount of water a B B A O T T O medicine Idropper hold? BOOK T IS N can S I H T FOR C liter
4
A centimeter B milliliter C liter D gram
24 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
Which unit of measure is best for measuring the amount of water a bird bath can hold? A centimeter B kilogram C gram D liter
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 .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 4.M.7 1
Units of Measurement Measure capacity, using milliliters and liters
Which of the items most likely has a capacity of 1 liter?
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
HINT Make Estimates. Estimate the capacity of each item in the answer choices. Which estimate is closest to 1 liter?
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 C
B
D
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 .
Independent Practice Directions: Solve the problems on your own.
2
Which of the items most likely has a capacity of 3 milliliters?
A
B
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 C
. 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
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
Which of the items most likely has a capacity of 3,000 liters?
A
B
C
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 D
. 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 .
4
Which of the items most likely has a capacity of 150 liters?
A
B
C
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 D
. 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 .
5
Which of the items most likely has a capacity of 1 milliliter?
A
B
C
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 D
. 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 .
Units E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
Student Expectation
4.M.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 Make change, using combined coins and dollar amounts 4.M.9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 Calculate elapsed time in hours and half hours, not crossing A.M./P.M.
. GHTED OT GIVEN I R Y P 4.M.10 . . . . . . . . . . . . . . . . . . . I.S. C. O . . . . . . . .N. .IS. .N. . 40 K O SIO a WAY. O ISusing B and weeks, M E Calculate elapsed time in days L R E P AM ANY . P THIS S NE MASTER ODUCED IN calendar R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
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 .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 4.M.8 1
Units Make change, using combined coins and dollar amounts
Rosa bought a book for $4.75 and a puzzle for $2.89. She gave the cashier $10.00. How much money did Rosa receive in change?
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
HINT Compute—Write a Number Sentence. First write a number sentence to find how much Rosa spent. Then write a number sentence to find how much change Rosa received from $10.00.
Show your work.
. 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
Answer $
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 .
Independent Practice Directions: Solve the problems on your own.
2
Last week, Mr. Davis spent $35.86 on groceries. This week, he spent $45.22 on groceries. How much less did Mr. Davis spend on groceries last week than this week? A $9.36 B $9.46 C $10.36 D $10.46
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 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
Allen’s lunch costs $5.60. He gives $6.00 to the cashier. How much change should Allen receive?
A
B
C
D
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
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
Susan had a $10.00 bill. She used it to pay for the three items shown below.
$2.35
$1.25
$3.15
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
How much money did Susan have left? Show your work.
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O MI WAY LE B R E P Y Answer $ 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
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 .
5
Jennifer bought art supplies that cost $19.23. She gave $20.00 to the cashier.
Part A How much money did Jennifer receive in change? Answer $
Part B
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
Complete the table below to show the number of each type of coin Jennifer would receive in change if she received the fewest number of coins possible. JENNIFER’S CHANGE
Type of Coin
Number of Coins
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O B WAY RMI E Y NickelSAMPLE P N A . THIS ASTER ODUCED IN M E N I LACKL TO BE REPR B Dime A T O K IT IS N THIS BOO FORQuarter Penny
36 © R A L LY ! E D U C AT I O N . N O PA R T O F T H I S D O C U M E N T M AY B E R E P R O D U C E D W I T H O U T W R I T T E N P E R M I S S I O N O F T H E P U B L I S H E R .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: 4.M.9
1
Units Calculate elapsed time in hours and half hours, not crossing A.M./P.M.
The hockey game started at 6:00 P.M. and ended at 8:30 P.M. How long did the hockey game last?
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
HINT Draw a Picture or a Diagram. You can draw a clock to help you find how long the game lasted.
A 3 hours
. GHTED OT GIVEN I R Y P IS CO SSION IS N . 2 hours K O O MI WAY LE B R E P Y P M N A A . 1 hour 30 minutesHIS S T ASTER ODUCED IN M E N I LACKL TO BE REPR B A T O K IT IS N THIS BOO FOR
B 2 hours 30 minutes C D
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 .
Independent Practice Directions: Solve the problems on your own.
2
On Saturday, Molly started walking at 2:30 P.M. She stopped walking at 4:00 P.M. How long did Sally walk? A 1 hour B 1 hour 30 minutes C 2 hours
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8
D 2 hours 30 minutes
3
Stan started reading a book at 8:00 A.M. He stopped reading at 11:30 A.M. to eat lunch. How long did Stan read before lunch? A 2 hours
B 2 hours 30 minutes
. GHTED OT GIVEN I R Y P IS CO SSION IS N . D 3 hours 30 minutes K O O MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN I KLevery EPRstarts practicing at 4:00 P.M. C A L Angelina practices juggling day. E RShe B B A O T T O P.M. How S N6:00 and finishes BOOKlong does Angelina practice juggling? IT Iat S I H T FOR C 3 hours
4
A 3 hours
B 2 hours 30 minutes C 2 hours D 1 hour 30 minutes
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
Will wakes up at 7:00 A.M. on Saturday. He leaves to go to a movie at 11:30 A.M. How long is Will awake on Saturday before he leaves to go the movie? A 3 hours B 3 hours 30 minutes C 4 hours D 4 hours 30 minutes
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
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 .
Guided Practice Directions: Use the hint to help you solve the problem.
Band: Units of Measurement 4.M.10 Calculate elapsed time in days and weeks, using a calendar 1
Julio uses the calendar below.
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 August
Sunday
Monday
Tuesday
Wednesday Thursday
Friday
Saturday
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23 TED. H G I GIVEN R T Y O P N O C IS 29SSI30 24 25 26 27 K 28 ON IS AY. O O I B M E YW P ER MPL N A A . S R N I E S I 31 TH MAST UCED D E O N I R L P K E A BLAC K TO BE R T O N O brother’s birthday is exactly 2 weeks later. BOHis Julio’s birthday IT IS is August IS 3. H T R O brother’s birthday? On what date isFhis HINT Look for a Pattern. The dates in a column follow the rule add 7 as you move down the column. Each date is one week later than the date above it. The dates in the column with Julio’s birthday are 3, 10, 17, 24, 31. A August 6
C August 17
B August 10
D August 24
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 .
Independent Practice Directions: Solve the problems on your own.
2
Tabitha uses the calendar below.
January Sunday
Monday
Tuesday
Wednesday Thursday
Friday
Saturday
1
2
3
4
5
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
ED.
N
E HT Tabitha has a violin recital on January 14. ShePYhas violin GIVrecital RIGanother T O N O C S K ISsecondISrecital? exactly 9 days later. On what dateBOisOthe SION I Y. A B C
MPLE TER. PERM IN ANY WA A S S I January 23 TH MAS UCED D E O N I R L P K E January 21 A BLAC K TO BE R T O N IS IT 20 IS BOO January H T R FO
D January 9
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 .
3
Timothy uses the calendar below.
October Sunday
Monday
Tuesday
Wednesday Thursday
Friday
Saturday
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 19
20
21
22
23
24
26
27
28
29
30
31
25
Timothy has a math test on October 6. Exactly 3 weeks later, Timothy will have a science test. On what date will Timothy have a science test? A October 9
. GHTED OT GIVEN I R Y P October 20 IS CO SSION IS N . K O O MI WAY LE B R October 27 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
B October 13 C D
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 .
4
Abby uses the calendar below.
April Sunday
Monday
Tuesday
Wednesday Thursday
Friday
Saturday
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 20
21
22
23
27
28
29
30
24
25
26
Abby starts her art project on April 2. She plans to work on the project for exactly 10 days. On what date will Abby finish her art project? A April 7
. GHTED OT GIVEN I R Y P April 17 IS CO SSION IS N . K O O MI WAY LE B R April 24 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
B April 11 C D
43 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
Karen uses the calendar below.
July Sunday
Monday
Tuesday
Wednesday Thursday
Friday
Saturday
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 20
21
22
23
24
27
28
29
30
31
25
26
Karen will leave for her camping trip on July 3. Exactly 14 days later, Karen will return from her trip. On what date will Karen return from her camping trip? A July 7
. GHTED OT GIVEN I R Y P IS CO SSION IS N . K O O July 17 MI WAY LE B R E P Y P M N A A . THIS S NE MASTER ODUCED IN July 24 R KLI C A L E REP B B A O T T O K IT IS N THIS BOO FOR
B July 10 C D
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 .
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
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 .
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
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 .
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
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 .
15
1
16
17
Inches
18
Ruler
14
E L P SAM ATION C U D E ! Y L RAL 99.RALLY . 8 8 8 10
3
11
12
13
2
9
. 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 6
7
8
4 6 7
1 2 3 Centimeters
4
5
5 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
. 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