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Algebra I: A Function Approach, Part 1, is designed to provide students with varied approaches to solving real-world application problems. This course focuses on identifying functional relationships including determining dependence, identifying and analyzing rate of change, making predictions from data, and using data to generalize and develop equations to predict trends. The primary focus is on developing linear functions and solving linear equations, linear inequalities, and linear systems. Developing quadratic functions and solving quadratic equations are covered to a lesser extent and exponential functions are introduced.

Algebra I, A Function Approach Part I Teachers' Guide Curriculum Planning Manual (CPM) –
Contains Teachers’ Guide and Scope and Sequence
Algebra I - A Function Approach, Part I Quick Sheet  



• Algebra I: A Function Approach, Part 1, is presented as a semester-long high school course.

• All lessons contain a study guide and practice and mastery test.

• Many lessons include graphing calculator activities designed to expand the students' understanding of functional relationships and data representation. A virtual, fully functional graphing calculator designed specifically for this course is included. A graphing calculator tutorial is also included.

• Enriched interactive features including simulations, off-line investigations, National Library of Virtual Manipulatives (NLVM) applets, drag and drop, and other activities that allow the student to respond to the material in a variety of ways. Each feature is designed to fully engage the student with the course content and provide the student varied methods to master the skills presented.

• Study guides contain practice problems with immediate feedback and additional explanation of algebraic applications, allowing the student to self-correct learning as the course progresses.



• The content in this course addresses many objectives of the National Council of Teachers of Mathematics Principles and Standards for School Mathematics.

• The Algebra I: A Function Approach, Part 1, course focuses on understanding that functions represent a relationship of dependence, which can be represented in a variety of ways including tabular, graphical, and symbolic. Students will integrate the mechanics of algebra with real-life applications and gain an appreciation of the many ways algebra is used in everyday situations.

• Students will gain an understanding of how algebra can be used to express generalizations, learn to recognize and use the power of symbols to represent situations, and understand different algebraic methods used to solve problems.

• Students will learn to identify and solve proportional or non-proportional linear relationships in application situations. They will obtain an understanding for the meaning of the slope, intercepts, and zeros of the graphs of linear functions. They will learn to interpret and describe the effects of parameter changes for linear functions in real world and mathematical situations.

• Students will formulate systems of linear equations and inequalities from problem situations, use a variety of methods to solve the system, and analyze the system's solution in terms of the situation.

• Students will understand that graphs of quadratic functions are affected by the parameters of the function and interpret and describe the effects of changes to these parameters. They will learn different methods to solve quadratic equations and determine which method is appropriate for a given situation.

• Students will understand there are situations modeled by functions that are neither linear nor quadratic and model those situations.

A+® VIP Bundle™ customers

A+ PowerPack customers may also access, depending on the particular title:

  • Direct links within A+LS lessons to Encyclopædia Britannica® Online School Edition (EB) workspaces that contain additional learning resources. These additional resources may contain articles, maps, images, and/or videos.

  • National Library of Virtual Manipulatives (NLVM) or concept tutorial applets in certain Mathematics titles.

A+ PowerPack customers will need to note the following specific software requirements:

  • EB and NLVM require a web browser. The following are recommended:

    • Microsoft Internet Explorer® version 6.0 or higher
    • Safari® version 2.0 or higher

Note: EB requires cookies enabled.

• Due to the interactive nature of the algebra activities, there are a few specific software requirements:

  • This course requires students to read resources that are linked to the lessons. These documents are provided as Portable Document Files (PDFs). As a result, students will need Adobe Acrobat® Reader® available on their workstations. Available at: www.adobe.com/downloads, select the Get Adobe Reader button.

The lessons in Algebra I: A Function Approach, Part 1, are divided into six units of study. These units are designed to guide the student through mastery of algebra concepts. Each lesson contains a primary skill and utilizes multiple skills from the group skill set.

Algebra I: A Function Approach, Part I
Units Lessons
Unit 1: Foundations for Functions Lessons: 1-15
Unit 2: Introduction to Linear Functions Lessons: 16-22
Unit 3: Linear Functions Lessons: 23-37


More information on this course can be found in the CPM, which contains the Teachers’ Guide and Scope and Sequence. Links to this PDFs can be found near the top of this page.

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