Geometry

Duration

10 Months

Prerequisites

None

Requirements

None

Course Summary

Geometry studies points, lines, angles, shapes, and solids. In this course, you'll learn about coordinate geometry, transformations, polygons, theorems, and apply geometry to solve real-world problems involving area, volume, and probability. You'll also study right triangles, trigonometry, and circles.

MAJOR TOPICS AND CONCEPTS

Course Goals

  • Prove geometric theorems using a variety of proof methods.
  • Complete geometric constructions using a variety of tools.
  • Find distance between points, slopes of lines, and midpoints of line segments.
  • Perform transformations on and off the coordinate plane.
  • Describe congruence in terms of rigid motions.
  • Describe similarity in terms of similarity transformations.
  • Prove theorems involving congruence and similarity.
  • Apply geometric concepts to solve real-world and mathematical problems.
  • Prove the converse of the Pythagorean theorem and the laws of sines and   cosines.
  • Prove and apply circle properties and relationships.
  • Construct inscribed and circumscribed circles and tangent lines.
  • Derive the equation of a circle or parabola on the coordinate plane.
  • Measure and describe plane and solid figures using perimeter, area, surface area, and volume.
  • Calculate probabilities and apply probability concepts to establish independence and make decisions.
  • Apply geometric and trigonometric concepts to solve real-world and mathematical problems.

How Geometry supports student success

In Geometry, students build subject knowledge through structured online lessons, guided practice, and regular feedback from qualified teachers. The course supports flexible study while maintaining clear academic expectations and steady progress.

Students can revisit learning materials, complete assignments at a manageable pace, and use teacher guidance to strengthen understanding. Families can follow progress while learners develop organization, independent study habits, and confidence.

  • Clear learning goals connect each lesson to the wider course.
  • Activities and assignments help students apply important concepts.
  • Assessments and teacher feedback identify strengths and next steps.
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