# :: High School Courses

## Algebra 2B

### Course Description

Uses the ASKME® model to introduce functions, with a focus on multiple representations. Continues study of the fundamentals of algebraic operations equations of first degree, graphs, ratios and proportions. This course is entirely online. (Prerequisite: Algebra 2A)

### Required Course Materials

TI-83 graphing calculator

### Course Organization

**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.

### Final Examination

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

### Course Outline

Total Number of Units: 4

Total Number of Activities: 28

Total Number of Graded Assignments: 14

Instructor Graded (Online submission): 14

**Unit 5: Rational Functions**

Chapter 5.1: Defining Rational Functions

Activity 1: The Rational Function

Activity 2: The Rational Function Properties

Chapter 5.2: Transformations

Activity 3: Investigating the Effect of *a*

Activity 4: Horizontal Translations

Activity 5: Vertical Translations

Activity 6: Applying Multiple Transformations

Chapter 5.3: Solving Rational Equations and Inequalities

Activity 7: Solving Rational Equations and Inequalities Using Graphs

Activity 8: Solving Rational Equations and Inequalities Algebraically

Chapter 5.4: Comparing Direct Variations and Indirect Variations

Activity 9: Comparing Direct vs. Inverse Variation

Activity 10: Direct and Indirect Relations

**Unit 6: Exponential Functions**

Chapter 6.1: Exploring the Exponential Function *y = bx* and Its Attributes

Activity 1: Defining the General Exponential Function *y = ab ^{x}*

Activity 2: Comparing

*y = bx*,

*y = x*, and

^{b}*y = b*

^{x}Activity 3: Attributes of

*y*=

*ab*and Its Graph

^{x}Chapter 6.2: The Effects of Parameter Changes and Transformations on

*y*=

*ab*

^{x}Activity 4: Effects on

*y*=

*ab*when

^{x}*b*is varied

Activity 5: Effects on

*y*=

*ab*when

^{x}*a*is varied

Activity 6: Translations of the graph of

*y*=

*ab*

^{x}Chapter 6.3: More Modeling with Exponential Functions

Activity 7: Carbon-14 Dating, Population and Other Interesting Models

Activity 8: Compound Interest Models

Activity 9: Discovering the number

*e*, the Natural Exponential Function and Continuous Compound Interest

Chapter 6.4: Using Properties of Rational Exponents

Activity 10: Rational Number Exponents and Their Properties

Activity 11: Using Properties of Rational Exponents to Solve Equations

**Unit 7: Logarithmic Functions**

Chapter 7.1:

Activity 1: The Logarithmic Function as the Inverse of an Exponential Function

Activity 2: The Common and Natural Logarithmic Functions

Activity 3: Properties of Logarithms

Chapter 7.2: Parameter Changes and Transformations on *y* = log_{b}*x*

Activity 4: Effects of Parameter Changes on *y* = log_{b}*x*

Activity 5: Transformations on *y* = log_{b}*x*

Chapter 7.3: Logarithmic Properties Applied to Expressions, Equations and Inequalities

Activity 6: Properties of Logarithms

Activity 7: Using Properties of Logarithms in Applications

**Unit 8 Conics**

Chapter 8.1: What is a Parabola?

Activity 1: Introduction to Conic Sections

Activity 2: Definition of the Parabola

Activity 3: Parabolas that are not Functions

Activity 4: Applications of the Parabola

Chapter 8.2: Fountains “on” Focus

Activity 5: Definition of the Ellipse

Activity 6: Definition of the Circle

Activity 7: Application of the Ellipse

Chapter 8.3:

Activity 8: Definition of the Hyperbola

Activity 9: Applications of the Hyperbola

Activity 10: Translations of the Conic Sections

Activity 11: The General and Standard Forms of the Equations of a Conic Section

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