The team of teachers and mathematicians who created Eureka Math believe that it's not enough for students to know the process for solving a problem; they need to know why that process works. That's why students who learn math with Eureka can solve real-world problems, even those they have never encountered before. The Study Guides are a companion to the Eureka Math program, whether you use it online or in print. The guides collect the key components of the curriculum for each grade in a single volume. They also unpack the standards in detail so that anyone even non-Eureka users can benefit. The guides are particularly helpful for teachers or trainers seeking to undertake or lead a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. We're here to make sure you succeed with an ever-growing library of resources. Take advantage of the full set of Study Guides available for each grade, PK-12, or materials at eureka-math.org, such as free implementation and pacing guides, material lists, parent resources, and more.
Introduction by Lynne Munson vii From the Writer by Pam Goodner 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 Precalculus and Advanced Topics 20 Chapter 4 Curriculum Design 27 Approach to Module Structure 27 Approach to Lesson Structure 28 Approach to Assessment 49 Chapter 5 Approach to Differentiated Instruction 51 Scaffolds for English Language Learners 52 Scaffolds for Students with Disabilities 53 Scaffolds for Students Performing below Grade Level 55 Scaffolds for Students Performing above Grade Level 56 Chapter 6 Course Module Summary and Unpacking of Standards 57 Module 1: Complex Numbers and Transformations 58 Module 2: Vectors and Matrices 68 Module 3: Rational and Exponential Functions 81 Module 4: Trigonometry 91 Module 5: Probability and Statistics 98 Chapter 7 Terminology 107 Algebra I 107 Geometry 111 Algebra II 113 Precalculus and Advanced Topics 117 Notes 129 Board of Trustees 131 Eureka Math: A Story of Functions Contributors 133 Index 135