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 3B 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 3B, we will explore the idea of functions in more depth and model real world situations with geometry, sinusoidal functions, and statistics.
|Unit 1||Unit 2||Unit 3||Unit 4||Unit 5|
|How is the concept of a function used in mathematics?||What are inverse and composite functions?||How can I recognize and describe features of functions?||How can I use geometry and sinusoidal functions to model situations?||How can I use statistics to describe my world?|
|What is a function?||How do I find the inverse of a function?||What features can I use to describe functions?||How does density determine whether something sinks or floats?||What is a z-score?|
|What is the definition of the domain and range of a function?||How can I compose functions to make new functions?||How can I graph radical and absolute value functions?||How can I use sinusoidal functions to model cyclical patterns?||How can I design a valid statistical study?|
|What is a piecewise function?|
How can I determine whether an infinite set is countable?
|How can I use inverse and composite functions to model real world situations?||How can I shift and transform function graphs?||How can I graph sinusoidal functions?|
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 3A
- 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.