Math Starters: 5- to 10-Minute Activities Aligned with the Common Core Math Standards, Grades 6-12

450 Pages·2013·2.635 MB·English

by  Judith A. Muschla, Gary Robert Muschla, Erin Muschla

Math Starters!
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Second Edition
Math Starters!
5- to 10-Minute Activities
Aligned with the Common Core
Math Standards, Grades 6-12
Judith A. Muschla, Gary Robert Muschla,
and Erin Muschla-Berry
Cover image: C imagezoo/Getty
Cover design: JPuda
Copyright C 2013 by Judith A. Muschla, Gary Robert Muschla, and Erin Muschla-Berry. All rights reserved.
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Library of Congress Cataloging-in-Publication Data
Muschla, Judith A.
Math starters : 5- to 10-minute activities aligned with the common core math standards, grades 6-12. -- Second
edition / Judith A. Muschla, Gary Robert Muschla, and Erin Muschla-Berry.
pages cm
Includes bibliographical references.
ISBN 978-1-118-44979-0 (pbk.); ISBN 978-1-118-69064-2 (ebk.); ISBN 978-1-118-69074-1 (ebk.)
1. Mathematics--Study and teaching (Elementary) 2. Mathematics--Study and teaching (Secondary)
I. Muschla, Gary Robert, author. II. Muschla-Berry, Erin, author. III. Title.
QA135.6.M867 2013
510.71’273--dc23
2013020214
Printed in the United States of America
SECOND EDITION
PB Printing 10 9 8 7 6 5 4 3 2 1
CONTENTS
About the Authors xxv
Acknowledgments xxvii
About This Book xxix
Standards and Problems Chart xxxi
PART 1: MAKING MATH STARTERS
PART OF YOUR PROGRAM 1
The Value of Math Starters 3
Starting Class with a Math Starter 3
Purpose and Value of a Math-Starter Notebook 4
The Value of Written Explanations 7
Cooperative Problem Solving Using Math Starters 7
Organizing Groups for Problem Solving 7
The Value of Sharing and Discussion 11
Using Problem-Solving Strategies 11
Evaluation 14
Checklists 14
Point Systems 14
Quizzes That Include Math Starters 15
Review of Math-Starter Notebooks 15
Student Participation 15
Portfolios 15
A Final Word 15
PART 2: MATH STARTERS 17
Section 1: Whole Numbers and Integers: Theory and Operations 19
1-1 Natural Numbers 19
1-2 Natural Numbers 19
1-3 Whole Numbers 20
1-4 Whole Numbers G 20
1-5 Place Value with Whole Numbers 20
v
vi Contents
1-6 Place Value with Whole Numbers 21
1-7 Numerical Operations 21
1-8 Numerical Operations G 21
1-9 Adding Whole Numbers 22
1-10 Subtracting Whole Numbers 22
1-11 Subtracting Whole Numbers 22
1-12 Multiplying Whole Numbers 23
1-13 Multiplying Whole Numbers 23
1-14 Dividing Whole Numbers (6.NS.2) 23
1-15 Dividing Whole Numbers (6.NS.2) 24
1-16 Dividing Whole Numbers (6.NS.2) 24
1-17 Whole Numbers—Multistep Problem (7.EE.3) 24
1-18 Whole Numbers—Multistep Problem G (7.EE.3) 25
1-19 Estimation with Compatible Numbers (7.EE.3) 25
1-20 Rounding Whole Numbers 25
1-21 Divisibility by 2, 4, and 8 26
1-22 Divisibility by 3, 6, 9, and 12 26
1-23 Divisibility by 5 and 10 27
1-24 Factors 27
1-25 Factors 27
1-26 Greatest Common Factor (6.NS.4) 28
1-27 Greatest Common Factor (6.NS.4) 28
1-28 Multiples 28
1-29 Multiples 29
1-30 Least Common Multiple (6.NS.4) 29
1-31 Least Common Multiple (6.NS.4) 30
1-32 Multiples and the Distributive Property (6.NS.4) 30
1-33 Prime Numbers 31
1-34 Prime Numbers 31
1-35 Composite Numbers 31
1-36 Prime and Composite Numbers 32
1-37 Perfect Squares 32
1-38 Perfect Squares and Prime Numbers 32
1-39 Order of Operations 33
1-40 Order of Operations G 33
1-41 Powers of Numbers (6.EE.1) 33
1-42 Simplifying Expressions with Exponents (6.EE.1) 34
1-43 Simplifying Expressions with Exponents (6.EE.1) 34
1-44 Simplifying Expressions with Exponents (6.EE.1) 34
Contents vii
1-45 Writing Numerical Expressions 35
1-46 Identifying Parts of a Numerical Expression 35
1-47 Integers (6.NS.5) 36
1-48 Integers (6.NS.5) 36
1-49 Opposites (6.NS.5) 36
1-50 The Number Line (6.NS.6) 37
1-51 The Number Line (6.NS.6) 37
1-52 Absolute Value (6.NS.7) 37
1-53 Absolute Value G (6.NS.7) 38
1-54 Comparing Integers 38
1-55 Inequality Symbols 38
1-56 Ordering Integers on a Number Line (6.NS.7) 39
1-57 Understanding Statements of Order (6.NS.7) 39
1-58 The Coordinate Plane (6.NS.6) 40
1-59 Graphing Points in the Coordinate Plane (6.NS.6) 41
1-60 Solving Problems by Graphing Points in the Coordinate
Plane (6.NS.8) 41
1-61 Adding Integers (7.NS.1) 41
1-62 Adding Integers (7.NS.1) 42
1-63 Subtracting Integers (7.NS.1) 42
1-64 Subtracting Integers (7.NS.1) 42
1-65 Adding and Subtracting Integers (7.NS.1) 43
1-66 Representing Addition and Subtraction on a Number
Line (7.NS.1) 43
1-67 Multiplying Two Integers (7.NS.2) 44
1-68 Multiplying More Than Two Integers (7.NS.2) 44
1-69 Multiplying More Than Two Integers (7.NS.2) 45
1-70 Dividing Two Integers (7.NS.2) 45
1-71 Dividing Two Integers (7.NS.2) 46
1-72 Multiplying and Dividing Integers (7.NS.2) 46
1-73 Four Operations with Integers (7.NS.3) 46
1-74 Four Operations with Integers (7.NS.3) 47
1-75 Four Operations with Integers (7.NS.3) 47
1-76 Using Positive Exponents with Integers 48
1-77 Using Scientific Notation to Express Large Numbers (8.EE.3) 48
1-78 Computing with Numbers Written in Scientific
Notation (8.EE.3) 49
1-79 Changing Numbers in Scientific Notation to Standard
Form (8.EE.4) 50
1-80 A Quotation Applicable to Mathematics 50
viii Contents
Section 2: Rational Numbers: Fractions, Decimals, and Percents 51
2-1 Equivalent Fractions 51
2-2 Simplifying Fractions 51
2-3 Simplifying Fractions 52
2-4 Writing Improper Fractions as Mixed Numbers 52
2-5 Writing Mixed Numbers as Improper Fractions 53
2-6 Comparing Fractions 53
2-7 Ordering Fractions 54
2-8 Adding Fractions 54
2-9 Adding Fractions 54
2-10 Adding Mixed Numbers 55
2-11 Adding Mixed Numbers 55
2-12 Subtracting Fractions 55
2-13 Subtracting Fractions 56
2-14 Subtracting Mixed Numbers 56
2-15 Subtracting Mixed Numbers 56
2-16 Subtracting Mixed Numbers 57
2-17 Multiplying Fractions 57
2-18 Multiplying Fractions 57
2-19 Multiplying Fractions and Mixed Numbers 58
2-20 Multiplying Mixed Numbers 58
2-21 Estimating and Multiplying Mixed Numbers 58
2-22 Dividing Fractions (6.NS.1) 59
2-23 Dividing Fractions (6.NS.1) 59
2-24 Dividing Fractions G (6.NS.1) 59
2-25 Dividing Fractions and Mixed Numbers (6.NS.1) 60
2-26 Dividing Mixed Numbers (6.NS.1) 60
2-27 Dividing Mixed Numbers (6.NS.1) 60
2-28 Fractions—Multistep Problem (7.EE.3) 61
2-29 Fractions—Multistep Problem (7.EE.3) 61
2-30 Decimals 61
2-31 Ordering Decimals 62
2-32 Ordering Decimals 62
2-33 Place Value with Decimals 62
2-34 Writing Fractions as Decimals 63
2-35 Writing Decimals as Fractions 63
2-36 Writing Decimals as Fractions 64
2-37 Repeating Decimals (7.NS.2) 64
2-38 Repeating Decimals (7.NS.2) 65