Cpm.Org Student Support Homework Help

Chapters are divided into sections that are organized around core topics. Within each section, lessons include activities, challenging problems, investigations and practice problems. Teacher notes for each lesson include a “suggested lesson activity” section with ideas for lesson introduction, specific tips and strategies for lesson implementation to clearly convey core ideas, and a means for bringing the lesson to closure.   Read More...

Core ideas are synthesized in “Math Notes” boxes throughout the text. These notes are placed in a purposeful fashion, often falling one or more lessons after the initial introduction of a concept. This approach allows students time to explore and build conceptual understanding of an idea before they are presented with a formal definition or an algorithm or a summary of a mathematical concept. “Math Notes” boxes include specific vocabulary, definitions and instructions about notation, and occasionally interesting extensions or real-world applications of mathematical concepts.

Learning Log reflections appear periodically at the end of lessons to allow students to synthesize what they know and identify areas that need additional explanation. Toolkits are provided as working documents in which students write Learning Logs, interact with Math Notes and create other personal reference tools.

Each chapter offers review problems in the chapter closure: typical problems that students can expect on an assessment, answers, and support for where to get help with the problem. Chapter closure also includes lists of Math Notes and Learning Logs, key vocabulary in the chapter, and an opportunity to create structured graphic organizers.

The books include “Checkpoints” that indicate to students where fluency with a skill should occur. Checkpoints offer examples with detailed explanations, in addition to practice problems with answers.

In addition, CPM provides a Parent Guide with Extra Practice available for free download cpm.org of in booklet form for purchase. In addition to practice problems with answers, the Parent Guide with Extra Practice provides examples with detailed explanations and guidance for parents and tutors.

Each chapter comes with an assessment plan to guide teachers into choosing appropriate assessment problems. CPM provides a secure online test generator and sample tests. The Assessment Guidebook contains guidance for a wide variety of assessment strategies.

Technology is used in the course to allow students to see and explore concepts after they have developed some initial conceptual understanding. Ideally, classes have access to a computer lab with computers for pairs of students to use the dynamic tools that provide students with a deeper understanding of the concepts involved. A classroom computer equipped with projection technology suffices, but does not allow students to explore individually.   Read Less...

This course contains several content threads that extend through multiple chapters and help to highlight connections between ideas. Chapter 1 begins by introducing the graphing calculator, building procedures for successful participation in study teams, and anticipating two major themes of the course: investigating functions and relations and modeling data. Chapter 2 continues this development with a focus on generalizing arithmetic and geometric sequences. Chapter 3 focuses on representing the family of exponential functions with graphs, tables, equations and applied situations.   Read More...

Chapter 4 focuses on modeling non-linear data and developing general equations for a variety of functions and relations. Students learn to transform graphs of several parent functions including parabolas, hyperbolas, square roots, exponentials, cubics, and absolute values. Students review their strategies for solving equations and looking at those solutions in multiple representations in Chapter 5. They extend these strategies to use them with inequalities and systems of inequalities. Chapters 6 and 7 introduce students to inverses of the functions they have previously investigated, including exponentials, logarithms, and matrices. These seven chapters, and usually Chapter 9, which explores polynomial functions along with real and complex roots, comprise the core of most Algebra 2 courses. Teachers select from the remaining chapters—probability and counting, conic sections, series, and two that cover trigonometry—to complete the year.

Throughout the course, students develop five mathematical Ways of Thinking: investigating, generalizing, justifying, choosing a strategy and reversing. Students are encouraged to notice the thinking processes they engage in as they solve problems and to reflect on how those processes may be useful in broad contexts.

The concept of generalizing and representing abstractly are at the heart of an advanced algebra course. This course emphasizes a three-step procedure of investigating, generalizing and justifying. The investigations are often quite open-ended, encouraging students to be more creative and therefore more motivated. This approach requires the teacher to listen carefully to a wide variety of student ideas in order to guide and support their formulation of substantive conjectures.  Read Less...

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