Get ready for Geometry | Math | Khan Academy

Khan Academy: Get Ready for Geometry Course Overview

This course is designed to prepare students for high school geometry through four primary units covering foundational concepts and algebraic skills.

Unit 1: Congruence, Similarity, and Triangle Trigonometry

• Scale Geometry: Proportions, scale copies, scale factors, and scale drawings.
• Angle Relationships: Identifying supplementary, complementary, and vertical angles; angles between intersecting and parallel lines.
• Triangle Properties: Finding angle measures in triangles and isosceles triangles.
• Number Theory & Algebra: Approximating square roots, comparing irrational numbers, and applying the Pythagorean theorem.

Unit 2: Analytic Geometry

• Coordinate Plane: Drawing polygons, calculating area and perimeter, and solving quadrilateral problems using coordinates.
• Linear Equations: Solving 2-variable equations, understanding slope (from graphs and points), and graphing horizontal/vertical lines.

Unit 3: Conic Sections

• Quadratic Foundations: Factoring quadratics (including perfect squares) and identifying common factors.
• Completing the Square: Introductory and intermediate techniques for rewriting expressions and solving quadratic equations.
• Graphing: Graphing quadratics in vertex form.

Unit 4: Circles and Solid Geometry

• Circles: Radius, diameter, circumference, area, and calculations involving parts of circles (arcs/sectors).
• 3D Geometry: Cross-sections of 3D objects, volume and surface area word problems, and specific volume formulas for cylinders, spheres, and cones.

Course Structure

• Each unit includes multiple instructional topics, practice exercises, periodic quizzes, and a final unit test.