Optimal thought and optimal fitness through reason, logic, science, passion, and wisdom.
High School Geometry, Semester 2
High School Geometry, Semester 2

High School Geometry, Semester 2

Enroll on Outschool or contact me to set up a class for a small group.

Geometry for those who want a more traditional, in-depth geometry course.

We will learn concepts of geometry that are important in themselves, but that are also an important foundation for later mathematics and for physics, chemistry, and biology. And from what we do in class we will learn important thinking skills (like proof) you will use in school, later at work, and all through life. You will learn some life-altering logic and reasoning. A course not to miss.

We will use a combination of lecture, interactive discussion, Q&A, and in-class work.

Enroll on Outschool or contact me to set up a class for a small group.

Homework will be assigned, but not required. We can find you some optional quizzes and tests, if you’d like. If parents would like to make a course in which homework is required and tests and quizzes are given, we could arrange that.

Be prepared to work in this course — and be prepared to profit immensely from it in later math, science, work, and life.

Prerequisite: algebra 1.

Enroll on Outschool or contact me to set up a class for a small group.

Topics include:

  1. Similar polygons
  2. Right triangles
  3. Circles
  4. Areas and perimeters of plane figures
  5. Area and volume of solid figures

Tentative sche

Tentative schedule:
Week 1: introduction and review; theorems about angles and segments of triangles; some triangle theorems
Week 2: formulas about polygons; regular polygons; ratio and proportion
Week 3: the concept of similarity; proving triangles similar; using similar triangles
Week 4: theorems involving proportions; radicals and quadratic equations; using circles

Week 5: altitude-on-hypotenuse theorems; the Pythagorean Theorem; special right triangles
Week 6: segments and circles; arcs of circles; secants and tangents
Week 7: angles related to circles; angle-arc theorems
Week 8: inscribed and circumscribed polygons; segment product theorems

Week 9: circumference and arc length; the concept of area; area of parallelograms and triangles
Week 10: areas of trapezoids; areas of kites and regular polygons
Week 11: areas of circles, sectors, and segments; ratios of areas
Week 12: surface area of prisms; surface area of pyramids

Week 13: surface area of cylinders, cones, and spheres; volumes of prisms and cylinders
Week 14: volumes of pyramids, cones, and spheres

And more good stuff, time permitting.

Enroll on Outschool or contact me to set up a class for a small group.

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