Why Take This Course?
Geometry has been a key element of the liberal education of thousands of leaders. Because of its visual and intuitive nature, it is one of the most accessible ways to learn the art of a mathematical proof. In Math 1B, we will refine our ability to think and reason logically as we study the same geometry texts that leaders like Hamilton and Lincoln used. In addition to learning about geometry topics, we will also explore concepts from algebra and statistics throughout the semester.
|Unit 1||Unit 2||Unit 3||Unit 4|
|What are geometric sequences and exponential functions?||What are the principles of statistics?||How are the principles of transformations and congruence?||What is analytic geometry, and how does it modify Euclid’s geometry?|
|What are the key ideas of geometric sequences?||What are the foundations of statistics?||How are basic geometric transformations performed?||What are the key ideas of analytic geometry?|
|What are the key ideas of exponential functions?||What does Euclid demonstrate in propositions 17-24?||What does Euclid demonstrate in propositions 25-36?||What does Euclid demonstrate in propositions 37-48?|
|What are the foundations of Euclidean geometry?|
Texts and Materials Students Must Purchase
- Euclid, Dana Densmore, T. L. Heath - "Euclid's Elements" - Provided by WL
- 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: 9th (Freshman), 10th (Sophomore)
- Prerequisites: High School Math 1A
- 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.