High School Geometry | Khan Academy

Khan Academy: High School Geometry Curriculum

This course is structured into nine primary units covering foundational and advanced geometric concepts:

• Unit 1: Performing Transformations: Covers translations, rotations, reflections, and dilations of points and shapes.
• Unit 2: Transformation Properties and Proofs: Focuses on rigid transformations, symmetry, and using transformations to prove geometric properties.
• Unit 3: Congruence: Explores triangle congruence, properties of triangles and parallelograms, line/angle proofs, and geometric constructions.
• Unit 4: Similarity: Covers triangle similarity criteria (SSS, angles), the angle bisector theorem, and proving theorems using similarity.
• Unit 5: Right Triangles & Trigonometry: Includes the Pythagorean theorem, special right triangles, and trigonometric ratios (sine, cosine, tangent) to solve for sides and angles.
• Unit 6: Analytic Geometry: Focuses on coordinate geometry, including distance and midpoint formulas, dividing line segments, area/perimeter on a coordinate plane, and equations of parallel/perpendicular lines.
• Unit 7: Conic Sections: Covers the features and equations (standard and expanded) of circles and parabolas.
• Unit 8: Circles: Explores arc measures, arc length, radians, inscribed angles, inscribed shapes, and properties of tangents.
• Unit 9: Solid Geometry: Covers 3D cross-sections, rotating 2D shapes, Cavalieri's principle, and calculations for volume, surface area, and density.

Key Features:

• Each unit includes multiple instructional sections, practice exercises, and unit tests.
• The curriculum emphasizes both conceptual understanding and formal proof-based reasoning.
• Includes a dedicated section on geometric constructions using tools to create bisectors, perpendicular lines, and congruent angles.