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 6 provides an overview of all of the Grade 6 modules, including Ratios and Unit Rates; Arithmetic Operations Including Dividing by a Fraction; Rational Numbers; Expressions and Equations; Area, Surface Area, and Volume Problems; Statistics.
Contents
Introduction by Lynne Munson vii From the Writers by Erika Silva 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 Grades 6 8: A Story of Ratios 5 How A Story of Ratios Aligns with the Instructional Shifts 11 How A Story of Ratios Aligns with the Standards for Mathematical Practice 14 Chapter 3 Grade-Level Content Review 19 Rationale for Module Sequence in Grade 6 20 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: Ratios and Unit Rates 46 Module 2: Arithmetic Operations Including Division of Fractions 55 Module 3: Rational Numbers 63 Module 4: Expressions and Equations 72 Module 5: Area, Surface Area, and Volume Problems 90 Module 6: Statistics 100 Chapter 7 Terminology 109 Grade 6 109 Grade 7 114 Grade 8 118 Notes 125 Board of Trustees 127 Eureka Math Grade 6 Study Guide: A Story of Ratios Contributors 129 Index 131