Uses the ASKME® model to introduce functions, with a focus on multiple representations. Also focuses on the exploration of linear functions and how to solve linear equations. This course is entirely online. (Prerequisite: Algebra 1)

TI-83 graphing calculator

**Chapter Movies.** These animations will show you a problem that you will learn about throughout the unit.

**Activities.** The Activities are practice assignments. Each Activity is a non-graded exercise that allows you to build your knowledge and identify your strengths and weaknesses. Generally, the Activities consist of:

** Introduction:** A short introduction to the Activity.

** Review Exercises:** Short review assignments that you submit for a grade. These are required and must be completed to finish the course.

** Tutorials:** Animations that teach concepts and ideas.

** Guided Practice Questions:** Questions to answer with the help of hints.

**Graded Assignments.** Graded Assignments are the tasks you will submit to your instructor for a grade. Each assignment contains specific information about how your work will be assessed and how credit will be given for your responses. The average of your assignments will count for 75 percent of your course grade.

The final examination is comprehensive; it covers the material from all of the units. To pass the course, you must receive a grade of 70
percent or better. You can apply to take the Final Exam after 100 percent of your graded assignments have been submitted, and at least 70 percent have been graded and returned to you.

**Format:** Multiple-choice, short answer

**Time Allowed:** 3 hours

**Materials Allowed:** 2 pencil, graphing calculator, computer-graded answer sheet provided

Total Number of Units: 4

Total Number of Activities: 36

Total Number of Graded Assignments: 12

Instructor Graded (Online submission): 12

**Unit 1: Foundations of Functions**

Chapter 1: Transformations

Activity 1: Domain and Range

Activity 2: Translations

Activity 3: Translations Affecting the Funtion Rule

Activity 4: Dilations

Chapter 2: Applying Transformations

Activity 5: Linear Functions

Activity 6: Linear Transformations

Activity 7: Exponential Transformations

Activity 8: Reflections

**Unit 2: ** **Linear Functions **

Chapter 1: Overview of Linear Functions

Activity 1: Exploring Linear Functions

Activity 2: Solving Linear Equations and Inequalities

Chapter 2: Systems of Linear Equations

Activity 3: Solving Systems by Substituting and Graphing

Activity 4: Solving Systems by Elimination

Activity 5: Solving Systems with Three Variables

Chapter 3: Organizing Data and Using Matrices

Activity 6: Addition, Subtraction and Scalar Multiplication of Matrices

Activity 7: Matrix Multiplication

Activity 8: Solving Linear Systems Using Matrices

Chapter 4: Systems of Inequalities

Activity 9: Graphing Systems of Inequalities

Activity 10: Linear Programming

**Unit 3: Quadratic Functions**

Chapter 1: Introduction to Quadratic Functions

Activity 1: The Quadratic Parent Function and its Transformations

Activity 2:Quadratic Functions in Vertex Form

Chapter 2: Applications of Quadratic Functions

Activity 3: Completing the Square

Activity 4: Applications of Quadratic Functions

Activity 5: Quadratic Functions and Finite Differences

Chapter 3: Introduction to Square Root Functions

Activity 6: The Inverse of a Function

Activity 7: The Square Root Function

**Unit 4: Quadratic Equations**

Chapter 1: Solving Quadratic Equations

Activity 1: Solving Quadratic Equations by Factoring

Activity 2: Solving Quadratic Equations by Graphing

Activity 3: Solving Quadratic Equations by Completing the Square

Activity 4: The Quadratic Formula

Chapter 2: Analyzing Quadratic Functions

Activity 5: Analyzing Quadratic Functions Using Tables and Graphs

Activity 6: The Discriminant and the Zeroes of the Quadratic Function

Activity 7: Complex Numbers

Activity 8: Analyzing Quadratic Inequalities

Chapter 3: Solving Square Root Equations

Activity 9: Modeling Square Root Functions and Solving Equations by Graphing and Tables

Activity 10: Solving Equations Involving the Square Root Algebraically

Activity 11: Solving Inequalities Involving the Square Root Function