Geometry (AoPS) - Summer 2024
Classroom: zoom
Class Time: Saturday & Wednesday 7:00-7:50 PM, twice per week
Pre-requirements:
For eight graders or above, or advanced seven graders who have mastered basic Algebra. Students should have passed the course of Algebra a, and be familiar with fundamental concepts of Algebra, such as binomials, quadratics, polynomials, radicals, exponents, rational, linear equation, system of equations,
inequalities, numbered line, Cartesian plane, etc., and be familiar with basic skills for solving problems with Algebra, such as distribution, factoring, substitution, simplification, graphing lines and quadratics, etc.
Textbook (not mandatory):
Introduction to Geometry, 2nd Edition, by Richard Rusczyk, the Art of Problem Solving series.
Course Description:
- Systematic introduction to geometry, including basic to advanced topics such as points, angels, lines, planes, area, perimeter, similar triangles, congruent triangles, right triangles, quadrilaterals, polygons, circles, power of a point, three-dimensional geometry, transformations, introductory trigonometry, laws of logic, and more;
- The course is focused on introduction of fundamental vocabularies, concepts and axioms of geometry, as well as problem solving strategies and techniques, to inspire the students to explore and develop new ideas. Early on in getting the feel and mindset for the proof based approach of geometry paves the way as the students work their way through the journey of math learning.
Schedules of Teaching Topics
| Syllabus (2024 Summer) | Course: Introduction to Geometry (AoPS) | |||||
| Week | Sat | Sun | Wed | Class Schedule | ||
| Part 1 (Fundamental Geometry) | ||||||
| 1 | 6/15/24 | 6/19/24 | Chapter 1 What's in a Name? Chapter 2 Angles | |||
| 2 | 6/22/24 | 6/26/24 | Chapter 3 Congruent Triangles Chapter 4 Perimeter and Area | |||
| 3 | 6/29/24 | 7/3/24 | Chapter 5 Similar Triangles Chapter 6 Right Triangles | |||
| 4 | 7/6/24 | 7/10/24 | Chapter 7 Special Parts of a Triangle Chapter 8 Quadrilaterals | |||
| 5 | 7/13/24 | Chapter 9 Polygons | ||||
| Part 2 (Advanced Geometry) | ||||||
| 6 | 7/17/24 | Chapter 10 Geometric Inequalities | ||||
| 7 | 7/20/24 | 7/24/24 | Chapter 11 Circles Chapter 12 Circles and Angles | |||
| 8 | 7/27/24 | 7/31/24 | Chapter 13 Power of a Point Chapter 14 Three-Dimensional Geometry | |||
| 9 | 8/3/24 | 8/7/24 | Chapter 15 Curved Surfaces Chapter 16 The More Things Change … | |||
| 10 | 8/10/24 | 8/14/24 | Chapter 17 Analytic Geometry Chapter 18 Introduction to Trigonometry | |||
- Teacher: Xun Zhou