Eureka Math A Story of Ratios Eureka Math is based on the theory that mathematical knowledge is conveyed most clearly and effectively when it is taught in a sequence that follows the "story" of mathematics itself. In A Story of Functions, our high school curriculum, this sequencing has been joined with methods of instruction that have been proven to work, in this nation and abroad. These methods drive student understanding beyond process to deep mastery of mathematical concepts. The goal of Eureka Math is to produce students who are not merely literate, but fluent, in mathematics. This teacher edition is a companion to Eureka Math online and EngageNY. Sequence of Algebra I Modules Module 1: Relationships Between Quantities and Reasoning with Equations and Their Graphs Module 2: Descriptive Statistics Module 3: Linear and Exponential Functions Module 4: Polynomial and Quadratic Expressions, Equations, and Functions Module 5: A Synthesis of Modeling with Equations and Functions

Common Core Mathematics is the most comprehensive Common Core State Standards-based mathematics curriculum available today. The modules are sequenced and paced to support the teaching of mathematics as an unfolding story that follows the logic of mathematics itself. They embody the instructional “shifts” and the standards for mathematical practice that are fundamental to the CCSS. Each module contains a sequence of lessons that combine conceptual understanding, fluency, and application to meet the demands of each topic in the module. Formative assessments are included to support data-driven instruction. The modules are written by teams of master teachers and mathematicians. In Common Core Mathematics, Geometry students explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. Important differences exist between this Geometry course and the historical approach taken in Geometry classes. For example, transformations are emphasized early in this course. Close attention should be paid to the introductory content for the Geometry conceptual category found in the high school CCSS. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations. Common Core Learning Standards Addressed in Geometry, Module 1: G-CO.1, G-CO.2, G-CO.3, G-CO.4, G-CO.5, G-CO.6, G-CO.7, G-CO.8, G-CO.9, G-CO.10, G-CO.11, G-CO.12, G-CO.13 SEQUENCE OF GEOMETRY MODULES Module 1: Congruence, Proof, and Constructions Module 2: Similarity, Proof, and Trigonometry Module 3: Extending to Three Dimensions Module 4: Connecting Algebra and Geometry through Coordinates Module 5: Circles With and Without Coordinates Common Core (www.commoncore.org) is a non-profit organization formed in 2007 to advocate for a content-rich liberal arts education in America’s K-12 schools. To improve education in America, Common Core creates curriculum materials and also promotes programs, policies, and initiatives at the local, state, and federal levels that provide students with challenging, rigorous instruction in the full range of liberal arts and sciences. Common Core is not affiliated with the Common Core State Standards Initiative. GRADE OVERVIEWS, GUIDANCE ON HOW TO IMPLEMENT COMMON CORE MATHEMATICS, MATH TOOLS, AND MORE, CAN BE FOUND AT www.commoncore.org

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.

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.

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 2 provides an overview of all of the Grade 2 modules, including Sums and Differences to 20; Addition and Subtraction of Length Units; Place Value, Counting, and Comparison of Numbers to 1,000; Addition and Subtraction Within 200 with Word Problems to 100; Addition and Subtraction Within 1,000 with Word Problems to 100; Foundations of Multiplication and Division; Problem Solving with Length, Money, and Data; and Time, Shapes, and Fractions as Equal Parts of Shapes.