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Eureka Math Grade 5 Study Guide. Common Core Mathematics

  • ID: 2986035
  • Book
  • October 2015
  • 168 Pages
  • John Wiley and Sons Ltd
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A Story of Units®

The team of teachers and mathematicians who created Eureka Math believe that it′s not enough for students to know the process for solving a problem; they need to know why that process works. That′s why students who learn math with Eureka can solve real–world problems, even those they have never encountered before.

The Study Guides are a companion to the Eureka Math program. The guides collect the key components of the curriculum for each grade in a single volume. They also unpack the standards in detail so that anyone even non–Eureka users can benefit. The guides are particularly helpful for teachers or trainers seeking to undertake or lead a meaningful study of the grade level content in a way that highlights the coherence between modules and topics.

Eureka Math is here to make sure you succeed with an ever–growing library of resources. Take advantage of the full set of Study Guides for each grade, PK–12, and the materials available at eureka–math.org, such as free implementation and pacing guides, materials lists, parent resources, and more.

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Introduction by Lynne Munson vii

From the Writers by Adam Baker ix

Foreword by Scott Baldridge xi

How to Use This Book xiii

Chapter 1 Introduction to Eureka Math 1

Vision and Storyline 1

Advantages to a Coherent Curriculum 2

Chapter 2 Major Mathematical Themes in Each Grade Band 5

Year–Long Curriculum Maps for Each Grade Band 5

Math Content Development for PreK 5: A Story of Units 5

How A Story of Units Aligns with the Instructional Shifts 10

How A Story of Units Aligns with the Standards for Mathematical Practice 14

Chapter 3 Grade–Level Content Review 17

Rationale for Module Sequence in Grade 5 18

Chapter 4 Curriculum Design 25

Approach to Module Structure 25

Approach to Lesson Structure 26

Approach to Assessment 36

Chapter 5 Approach to Differentiated Instruction 39

Scaffolds for English Language Learners 40

Scaffolds for Students with Disabilities 41

Scaffolds for Students Performing below Grade Level 43

Scaffolds for Students Performing above Grade Level 44

Chapter 6 Grade–Level Module Summary and Unpacking of Standards 45

Module 1: Place Value and Decimal Fractions 46

Module 2: Multi–Digit Whole Number and Decimal Fraction Operations 53

Module 3: Addition and Subtraction of Fractions 61

Module 4: Multiplication and Division of Fractions and Decimal Fractions 70

Module 5: Addition and Multiplication with Volume and Area 83

Module 6: Problem Solving with the Coordinate Plane 91

Chapter 7 Mathematical Models 101

Array and Area Models 102

Base–Ten Blocks 103

Bundles 104

Money 105

Number Bond 106

Number Disks 108

Number Line 109

Number Path 111

Number Towers 112

Place Value Chart 113

Rekenrek 115

Tape Diagram 116

Ten–Frame 118

Chapter 8 Terminology 121

Grade PreK 121

Grade K 124

Grade 1 126

Grade 2 128

Grade 3 131

Grade 4 133

Grade 5 136

Notes 139

Board of Trustees 141

Eureka Math Study Guide: A Story of Units Contributors 143

Index 145

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Great Minds
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