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 Geometry B, 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 topics from trigonometry and probability throughout the semester.
|Unit 1||Unit 2||Unit 3||Unit 4||Unit 5|
|How can math be used to describe probability?||How can geometry be used to measure circles and solids?||How are circles and parabolas graphed?||What are the principles of similarity and congruence?||What are the basics of trigonometric ratios?|
|What mathematical probabilities govern dependent and independent events?||How are arcs, sectors, tangents, and inscribed shapes measured?||How are circles graphed?||How are dilations performed?||What are the basics of trigonometric ratios?|
|How are combinations and permutations calculated?||How are solids measured?||How are parabolas graphed?||What are the principles of similarity?||How does Euclid conclude his exploration of circles?|
|How does Euclid utilize squares and rectangles to demonstrate various relations on randomly cut lines?||How does Euclid generalize the Pythagorean Theorem, find the golden mean, and establish the foundations of measuring circles?||What does Euclid prove about tangents, sectors, and arcs?||What are the principles of congruence?|
|What are the basics of line and angle proofs?||How does Euclid conclude his exploration of circles?|
|What is the angle bisector theorem?|
Texts and Materials Students Must PurchaseFind required versions and ISBNs on the High School Booklist
|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: 10th (Sophomore), 11th (Junior)
- Prerequisites: Geometry A
- 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.