Geometry - Semester I
Description Geometry – Semester I covers problem solving geometric applications. Lessons covered in the class include triangle similarity and congruence, complicated area problems, mastering the triangle, special quadrilaterals, circles, polygons, art of angle chasing and many more. In addition to these classes we conduct two exams to make sure students are on track of understanding the concepts and March towards completion of the course. This course is specifically designed to all levels of students with material from many programs and math competitions in around the city/state and country. Our idea is that students develop more by learning to solve problems they haven’t seen before, as opposed to offering repeated drills that students can memorize their way through. In this way, our classes are structured much more like courses at top-tier colleges. |
Class Outline |
Lesson 1: Angles
Lesson 2: Congruent Triangles – SSS and SAS Congruence
Lesson 3: Congruent Triangles – ASA and AAS Congruence
Lesson 4: Isosceles & Equilateral Triangles
Lesson 5: Perimeter and Areas
Lesson 6: Similar Triangles – AA and SAS Similarity
Lesson 7: Similar Triangles – SSS Similarity
Lesson 8: Mid-Semester Exam
Lesson 9: Right Triangles
Lesson 10: Special Parts of Triangles – Perpendicular and Angle Bisectors
Lesson 11: Special Parts of Triangles – Medians and Altitudes
Lesson 12: Quadrilaterals
Lesson 13: Circles – Arcs, Arc Length and Circumference
Lesson 14: Circles and Angles
Lesson 15: Tangents
Lesson 16: Final Semester Exam
Geometry - Semester II
Description |
Geometry – Semester II covers problem solving geometric applications. Lessons covered in the class include power of a point, 3-dimensional geometry, transformations, analytic geometry, basic trigonometry, geometric proof, and more. In addition to these classes we conduct two exams to make sure students are on track of understanding the concepts and March towards completion of the course. This course is specifically designed to all levels of students with material from many programs and math competitions in around the city/state and country. Our idea is that students develop more by learning to solve problems they haven’t seen before, as opposed to offering repeated drills that students can memorize their way through. In this way, our classes are structured much more like courses at top-tier colleges.
Class Outline |
Lesson 1: Power of a Point
Lesson 2: Curved Surfaces – Cylinders, Cones
Lesson 3: Curved Surfaces – Spheres and Problems
Lesson 4: Translations
Lesson 5: Rotation
Lesson 6: Reflections
Lesson 7: Dilation
Lesson 8: Mid-Semester Exam
Lesson 9: 3-D Geometry – Part 1
Lesson 10: 3-D Geometry – Part 2
Lesson 11: Basic Trigonometry
Lesson 12: Analytic Geometry – Part 1
Lesson 13: Analytic Geometry – Part 2
Lesson 14: Analytic Geometry – Part 3
Lesson 15: Problems
Lesson 16: Final Semester Exam