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 5 provides an overview of all of the Grade 5 modules, including Place Value and Decimal Fractions; Multi-Digit Whole Number and Decimal Fraction Operations; Addition and Subtraction of Fractions; Multiplication and Division of Fractions and Decimal Fractions; Addition and Multiplication with Volume and Areal; Problem Solving with the Coordinate Plane.
Table of Contents:
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
