Algebra I: A Function Approach, Part 2 is a continuation of Algebra I: A Function Approach, Part 1. Part 2 provides students with more approaches to the real-world application of algebra. The continued focus of this course is on functional relationships and the various uses of a rate of change. This course moves on to writing and solving equations, linear models in two variables, linear inequalities, and systems of equations and inequalities. Polynomials, their applications, and the factoring of polynomials are examined. Quadratics, their roots, factors, zeros, and solutions are introduced, followed by the quadratic formula, laws of exponents, exponential functions, and functions of inverse variation.
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Curriculum Planning Manual (CPM) –
Contains Teachers’ Guide and Scope and Sequence |
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• Algebra I: A Function Approach, Part 2, 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 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 include Reflect and Apply worksheets, drag and drop activities, layered sequence activities, and other processes 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 varied methods to help the student master the skills presented.
• Study guides contain practice problems with immediate feedback and additional explanation of algebraic applications, allowing the students to self-correct their learning as the course progresses.
• This course is enriched by National Library of Virtual Manipulatives (NLVM) applets.
• 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 2 course is designed to help students understand that functions represent a relationship of dependence that 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 write and solve equations for real-world situations.
• Students will learn to analyze the slope and y-intercept for linear functions in the context of real-life applications and to translate a real-life application problem into an equation.
• Students will develop a point-slope linear equation given a rate and a data point and identify which linear equation form is most appropriate for a given situation. They will solve and graph inequalities and compound inequalities.
• Students will develop a system of equations, generate a table of values for a linear system, and solve a system of equations by graphing. They will solve a system of equations by graphing from slope-intercept form and from standard form. Students will understand the process used when solving a system of equations by matrices.
• Students will identify the graph and parameters of a quadratic function. They will understand monomials and polynomials and how to arrange polynomials in ascending and descending order. Students will find the greatest common factor for a set of terms, factor a trinomial into two binomial factors, and solve a quadratic equation by using the quadratic formula.
• Students will use the product rule and the power rule of exponents to simplify exponential expressions. They will simplify expressions using the quotient rule for exponents and those with negative exponents. Students will identify an exponential growth or decay function and the graph of an inverse variation function. They will analyze data and situations involving inverse variations.
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.
- EB and NLVM require a web browser that is equipped with Adobe® Flash® and Shockwave plug-ins. These are available
at: www.adobe.com/downloads (select Get ADOBE FLASH PLAYER and Get Shockwave Player).
- EB video clips are offered in Windows Media® and MPEG-4 formats. You’ll need to have a media player installed that will
support these formats:
- Java 1.41 or higher (normally installed with your A+LS client)
• 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 2 are divided into four 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 2 |
| Units |
Lessons |
| Unit 1: Linear Functions |
Lessons: 1-9 |
| Unit 2: Linear Systems |
Lessons: 10-23 |
| Unit 3: Quadratic Functions |
Lessons: 24-33 |
| Unit 4: Introduction to Other Functions |
Lessons: 34-37 |
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