# Eureka Math Study Guide: A Story of Units, Grade 4

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## Overview

Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented.

Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models.  The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful.  Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics.  The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year.

The Eureka Math Curriculum Study Guide, Grade 4 provides an overview of all of the Grade 4 modules, including Place Value, Rounding, and Algorithms for Addition and Subtraction; Unit Conversions and Problem Solving with Metric Measurement; Multi-Digit Multiplication and Division; Angle Measure and Plane Figures; Fraction Equivalence, Ordering, and Operations; Decimal Fractions; and Exploring Measurement with Multiplication.

## Product Details

ISBN-13: 9781118811863 Wiley 09/08/2015 Common Core Eureka Math Series Educator Edition 192 8.40(w) x 10.80(h) x 0.40(d)

Introduction by Lynne Munson vii

From the Writers by Kelly Alsup 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 4 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, Rounding, and Algorithms for Addition and Subtraction 46

Module 2: Unit Conversions and Problem Solving with Metric Measurement 53

Module 3: Multi-Digit Multiplication and Division 57

Module 4: Angle Measure and Plane Figures 74

Module 5: Fraction Equivalence, Ordering, and Operations 81

Module 6: Decimal Fractions 100

Module 7: Exploring Measurement with Multiplication 113

Chapter 7 Mathematical Models 125

Array and Area Models 126

Base-Ten Blocks 127

Bundles 128

Money 129

Number Bond 130

Number Disks 132

Number Line 133

Number Path 135

Number Towers 136

Place Value Chart 137

Rekenrek 139

Tape Diagram 140

Ten-Frame 142

Chapter 8 Terminology 145

Notes 163

Board of Trustees 165

Eureka Math Study Guide: A Story of Units Contributors 167

Index 169

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