Full Description
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.
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
