MATH-302In Development

Algebra, Geometry & Precalculus

Geometry and Geometric Reasoning

Build geometric reasoning through shapes, transformations, congruence, similarity, measurement, coordinate methods, and proof.

Level
Level 3 — Intermediate
Learning time
20 hours
Format
Extended Course
Modules
12

Course structure

A clear outline before lessons begin.

This course is published as a development map. Full lessons, practice, and assessments will be added after content review.

Prerequisites

Complete these courses before beginning when they are available.

Learning outcomes

By the end, learners will be able to…

  • Use definitions, diagrams, and logical statements to support geometric conclusions.
  • Apply transformations, congruence, and similarity to analyze figures.
  • Calculate angle measures, perimeter, area, surface area, and volume.
  • Use coordinate methods and the Pythagorean theorem to solve geometric problems.
  • Apply right-triangle trigonometric ratios in context.
  • Write or evaluate a clear geometric argument.

Module outline preview

12 planned modules

Estimated times add up to the course’s planned learning time. Every module is in development.

  1. 01

    Geometric Language and Reasoning

    Use points, lines, angles, definitions, and diagrams precisely.

    1.75 hours · In Development
  2. 02

    Constructions and Transformations

    Analyze translations, rotations, reflections, and dilations.

    1.75 hours · In Development
  3. 03

    Angle Relationships

    Solve angle problems using parallel lines and intersecting-line relationships.

    1.75 hours · In Development
  4. 04

    Triangle Congruence and Proof

    Establish congruence and justify conclusions with structured reasoning.

    1.75 hours · In Development
  5. 05

    Similarity and Scale

    Use similar figures, proportional sides, and scale factors.

    1.75 hours · In Development
  6. 06

    Polygons and Circles

    Analyze properties and measurements of common plane figures.

    1.75 hours · In Development
  7. 07

    Coordinate Geometry

    Use distance, midpoint, slope, and equations to reason about figures on a plane.

    1.75 hours · In Development
  8. 08

    Perimeter and Area

    Calculate and compare two-dimensional measurements in context.

    1.75 hours · In Development
  9. 09

    Surface Area and Volume

    Model and calculate measurements of three-dimensional objects.

    1.5 hours · In Development
  10. 10

    Right Triangles and the Pythagorean Theorem

    Solve distance and measurement problems with right triangles.

    1.5 hours · In Development
  11. 11

    Introductory Trigonometry

    Use sine, cosine, and tangent ratios in right-triangle applications.

    1.5 hours · In Development
  12. 12

    Geometric Reasoning Synthesis

    Combine visual, algebraic, and proof-based methods in cumulative problems.

    1.5 hours · In Development

Course status

Course coming soon

This course is not yet open for enrollment and does not include lessons, practice, assessments, or formal credit. You can review the outline while it is developed.

Back to Mathematics

Recommended learning paths

A clear sequence, not a random list.

These paths show a recommended order. Branches identify connected study that can follow once prerequisites are complete.