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.
Table of Contents:
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
Grade PreK 145
Grade K 148
Grade 1 150
Grade 2 152
Grade 3 155
Grade 4 157
Grade 5 160
Notes 163
Board of Trustees 165
Eureka Math Study Guide: A Story of Units Contributors 167
Index 169
