Public learning track
Foundations of Right Triangle Trigonometry
9th Grade · Math · Open Global Math
9 lessons
Goal
Establish sine, cosine, and tangent ratios through triangle similarity, derive exact trigonometric values for special angles, and utilize fundamental trigonometric identities.
Featured Diagrams
Understanding Trigonometric Ratios Through Similarity
9 lessons
0 of 9 done
- 1Understanding Trigonometric Ratios Through SimilarityUp nextStart
- 2Introduction to Trigonometric Ratios: Sine, Cosine, TangentPremiumNot started yet
- 3Exact Values of Sine, Cosine, and Tangent for π/4Not started yet
- 4Exact Values of Sine, Cosine, and Tangent for π/6Not started yet
- 5Exact Values of Sine, Cosine, and Tangent for π/3Not started yet
- 6Complementary Angle Relationships in TrigonometryNot started yet
- 7Using the Pythagorean Identity to Find sin(θ) Given cos(θ)Not started yet
- 8Using the Pythagorean Identity to Find cos(θ) Given sin(θ)Not started yet
- 9Using the Pythagorean Identity to Find tan(θ) Given sin(θ) or cos(θ)Not started yet
Curriculum Framework
9th Grade · Math · Open Global Math
1
7 lessons
The Pythagorean Theorem: Geometric Proofs, Converse, and Applications
Master geometric and similarity-based proofs of the Pythagorean theorem, use its converse to classify triangles, and solve complex multi-step geometric problems.
2
9 lessons
Foundations of Right Triangle Trigonometry
Establish sine, cosine, and tangent ratios through triangle similarity, derive exact trigonometric values for special angles, and utilize fundamental trigonometric identities.
3
7 lessons
Right Triangle Trigonometry: Solving Triangles and Real-World Applications
Solve unknown sides and angles in right triangles and apply trigonometric techniques to solve complex multi-step real-world problems.
4
5 lessons
Circle Metrics: Arc Length, Sectors, and Circular Segments
Derive and calculate arc length, sector area, and circular segment area in degrees and radians, and solve composite geometric problems.
5
10 lessons
Cavalieri's Principle and Spatial Measurement of 3D Solids
Use Cavalieri's principle and solid decomposition methods to derive and calculate surface areas and volumes of prisms, cylinders, pyramids, cones, spheres, and composite solids.
6
7 lessons
Cartographic Map Projections and Metric Distortions
Analyze how mapping a 3D spherical surface onto 2D planes induces metric distortions in angles, scale, and surface area across cylindrical, conic, and azimuthal projections.