Eureka Math Algebra I Study Guide: (Common Core Mathematics)

The Eureka Math curriculum provides detailed daily lessons and assessments to support teachers in integrating the Common Core State Standards for Mathematics (CCSSM) into their instruction. The companion guides to Eureka Math gather the key components of the curriculum for each grade into a single location. Both users and non-users of Eureka Math can benefit equally from the content presented. The CCSSM require careful study. A thorough study of the Guidebooks is a professional development experience in itself as users come to better understand the standards and the associated content. Each book includes narratives that provide educators with an overview of what students learn throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, and descriptions of mathematical models. The Guidebooks 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 either brand new to the classroom or to the Eureka Math curriculum, the Grade Level Guidebooks 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 already familiar with the 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 Guidebooks allow teachers to obtain a firm grasp on what it is that students should master during the year. 

Table of Contents:
Introduction by Lynne Munson vii From the Writer by Selena Oswalt 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 9–12: A Story of Functions 5 How A Story of Functions Aligns with the Instructional Shifts 11 How A Story of Functions Aligns with the Standards for Mathematical Practice 14 Chapter 3 Course Content Review 19 Rationale for Module Sequence in Algebra I 20 Chapter 4 Curriculum Design 27 Approach to Module Structure 27 Approach to Lesson Structure 28 Approach to Assessment 41 Chapter 5 Approach to Differentiated Instruction 43 Scaffolds for English Language Learners 44 Scaffolds for Students with Disabilities 45 Scaffolds for Students Performing below Grade Level 47 Scaffolds for Students Performing above Grade Level 48 Chapter 6 Course Module Summary and Unpacking of Standards 49 Module 1: Relationships Between Quantities and Reasoning with Equations and Their Graphs 50 Module 2: Descriptive Statistics 62 Module 3: Linear and Exponential Functions 70 Module 4: Polynomial and Quadratic Expressions, Equations, and Functions 81 Module 5: A Synthesis of Modeling with Equations and Functions 94 Chapter 7 Terminology 103 Algebra I 103 Geometry 107 Algebra II 109 Precalculus and Advanced Topics 113 Notes 125 Board of Trustees 133 Eureka Math: A Story of Functions Contributors 135 Index 137