Why Take This Course?
Algebra is like arithmetic, but with variables instead of numbers. That means that you already know most of the concepts of Math 3A on a fundamental level. Mastering algebra is just a matter of extending those fundamental concepts to a more abstract level. Learning to notice patterns and structure in simple situations and extend them to more abstract situations is something that can be used in all areas of life. Algebra trains the brain to think logically, and it teaches a whole new way of looking at the world. In Math 3A we will extend addition, subtraction, multiplication, division, and fractions to polynomials. We will also extend the idea of inverse operations to exponential functions as we learn about logarithms.
|Unit 1||Unit 2||Unit 3||Unit 4|
|How can I extend the principles of arithmetic to polynomials?||How can I extend the principles of fractions to polynomials?||How can I use exponential and logarithmic functions to describe my world?||How can I calculate arithmetic and geometric series?|
|How can I add and subtract polynomials?||How can I simplify rational functions?||How can I use exponential functions to model geometric patterns?||How can I calculate arithmetic series?|
|How can I multiply polynomials?||How can I add and subtract rational functions?||How are exponential and logarithmic functions related?||How can I calculate geometric series?|
|How can I divide polynomials?||How can I multiply and divide rational functions?||How is APR related to exponential functions?||What does it mean for a series to be divergent or convergent?|
|How can I use Pascal’s Triangle to expand binomials?||How can I solve equations with rational functions?||What is a mathematical proof?|
|How can I use Pascal’s Triangle to solve combinatorics problems?||What is Fermat’s Last Theorem?|
Texts and Materials Students Must Purchase
- Simon Singh - "Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem"
- Students must create an account in Khan Academy and add Williamsburg Academy as their coach.
- Students taking the self-paced or independent version of this course do not need to purchase any texts or materials.
- Recommended Grade: 10th (Sophomore), 11th (Junior)
- Prerequisites: High School Math 2B
- Versions & Estimated Weekly Hours: 7*
- Format: Live / Self-Paced / Independent
- Credits: 0.5
*Math students spend at least one hour a day practicing math, plus two hours a week in live class sessions.