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Eureka Math Precalculus Study Guide. Common Core Mathematics

  • ID: 3785018
  • Book
  • 168 Pages
  • John Wiley and Sons Ltd
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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.

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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

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Great Minds
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