Eureka Math Pre-K Study Guide: (Common Core Mathematics)

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 PK provides an overview of all of the Pre-Kindergarten modules, including Counting to 5; Shapes; Counting to 10; Comparison of Length, Weight, Capacity, and Numbers to 5; and Addition and Subtraction Stories and Counting to 20.

Table of Contents:
Introduction by Lynne Munson vii From the Writers by Kate Austin and Lacy Endo-Peery 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 11 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 PreKindergarten 18 Chapter 4 Curriculum Design 21 Approach to Module Structure 21 Approach to Lesson Structure 22 Approach to Assessment 35 Chapter 5 Approach to Differentiated Instruction 37 Scaffolds for English Language Learners 38 Scaffolds for Students with Disabilities 39 Scaffolds for Students Performing below Grade Level 41 Scaffolds for Students Performing above Grade Level 42 Chapter 6 Grade-Level Module Summary and Unpacking of Standards 43 Module 1: Counting to 5 44 Module 2: Shapes 57 Module 3: Counting to 10 64 Module 4: Comparison of Length, Weight, Capacity, and Numbers to 5 77 Module 5: Addition and Subtraction Stories and Counting to 20 87 Chapter 7 Mathematical Models 99 Array and Area Models 100 Base-Ten Blocks 101 Bundles 102 Money 103 Number Bonds 104 Number Line 106 Number Path 108 Number Towers 109 Place Value Chart 110 Place Value Disks 112 Rekenrek 113 Tape Diagrams 114 Ten-Frames 116 Chapter 8 Terminology 119 Grade PreK 119 Grade K 122 Grade 1 124 Grade 2 126 Grade 3 129 Grade 4 131 Grade 5 134 Notes 137 Board of Trustees 139 Eureka Math Study Guide: A Story of Units Contributors 141 Index 143