高中幾何（16 週）|完整課程 |直播課

This course covers high school geometry, which is typically taken after algebra 1. It is intended for learners who have already studied elementary/middle school geometry. During each class, students will listen to my explanations of concepts and key terms related to our unit. They will be expected to take notes, work on problems individually, and participate in class. We will also work on problems together as a group. The last few minutes of each session will be used to answer questions and review homework and additional resources.

The course is 16 weeks long, with each unit lasting two weeks. The topics covered include performing transformations, congruence, similarity, right triangles and trigonometry, analytic geometry, conic sections, circles, and solid geometry. Students will need a scientific calculator, writing tools, and basic geometry supplies. They must also complete weekly homework assignments and Khan Academy unit tests. It is essential that students have a solid understanding of algebra 1 and basic geometry.

The course moves at the pace of the learners and video resources will be provided for topics not covered in class. As this is a full high school geometry course that is usually taught daily over a year, students must be dedicated and willing to work hard. I also have PDF worksheets available for each unit and will leave the meeting if no one attends within 10 minutes. Students are welcome to ask me questions about assignments inside or outside of class via messages on Outschool.

Weekly schedule:

Week 1-2: Performing transformations & transformation properties and proof
- Introduction to Geometry, Rotations, Reflections, Dilations, Proofs with transformations, Transformations overview, and etc.
Week 3-4: Congruence
- Triangle congruence from transformations, working with triangles, constructing lines and angles, & congruent triangles. 
Week 5-6: Similarity
solving similar triangles, proving relations, etc.
Week 7-8: Right triangles & Trigonometry
- Pythagorean theorem, ratios, solving for a side in a right triangle using the trigonometric ratios, solving for an angle in a right triangle using the trigonometric ratios, sine & cosine of complementary angles, etc.
Week 9-10: Analytic Geometry
- Distance, Midpoints, dividing line segments, & coordinate plane geometry.
Week 11-12- Conic Sections
Standard equation of a circle, etc.
Week 13-14: Circles
- Circle basics, arc measures, radians, arc length, constructing, sectors, tangents, etc.
Week 15-16: Solid Geometry
- Cavalieri's principle, Volume, Surface Area, Density, and word problems.