Algebra 2B is the second course in a two semester sequence of Algebra 2. This course will prepare you for PreCalculus and Statistics. In Algebra 2 you will add to your bank of function knowledge by further investigating quadratic functions and expanding to cubic, exponential, rational and higher order polynomial functions. You will learn additional techniques for solving equations of various degree, including square root equations. Plus, you will expand on your linear function knowledge from Algebra I with the application of linear programming. As you progress through the topics, be sure to review your Algebra 1 prerequisite knowledge of linear functions, factoring and solving equations of up to degree two.
Upon completing this course you will be able to:
- Graph and describe the features of quadratic, exponential, rational, polynomial and power functions with various transformations
- Solve equations using the algebraic methods of factoring, completing the square, method of square roots and rational exponents
- Describe and interpret function behavior in appropriate notations
- Solve logarithmic and exponential equations using the inverse relationship
- Apply functions in real-world applications
Required Course Materials
- Math Journal – In the form of a small composition notebook, a spiral notebook, or loose-leaf paper kept in a binder.
- Pencil or Pen – In order to do well in the course, you must take notes, sketch diagrams and graphs, and solve problems when instructed to do so.
- Purchasing a TI 84 plus, a TI 83 or similar is recommended.
- Internet Access
- Adobe Reader
Note: This course does not require a textbook.
Each semester contains 4 units and one final exam that must be taken in person.
Each Unit contains:
- 4 lesson. Each lesson includes some or all of the following components: Engage, Explore, Explain, Elaborate, and Evaluate.
- Self-assessments to help you check your own understanding of the material covered in each lesson. You must complete these assessments in order to advance in the course.
- 3 graded assignments
The final examination is comprehensive; it covers the material from all 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.
Time Allowed: 3 hours
Materials Allowed: #2 pencils, graphing calculator
Topic 5: Rational Functions
Topic 6: Cubic and Cube Root Functions
Topic 7: Exponential Functions
Topic 8: Logarithmic Functions