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 = abx
  Activity 2: Comparing y = bx, y = xb, and y = bx
  Activity 3: Attributes of y = abx and Its Graph
Chapter 6.2: The Effects of Parameter Changes and Transformations on y = abx
  Activity 4: Effects on y = abx when b is varied
  Activity 5: Effects on y = abx when a is varied
  Activity 6: Translations of the graph of y = abx
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 = logbx
  Activity 4: Effects of Parameter Changes on y = logbx
  Activity 5: Transformations on y = logbx
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