Public learning track
Modeling Periodic Phenomena with Trigonometric Functions
10th Grade · Math · Open Global Math
8 lessons
Goal
Graph transformed sine and cosine functions and build sinusoidal models for real-world cyclical behavior including tides, temperatures, and harmonic motion.
Featured Diagrams
Using the Unit Circle to Graph Sine and Cosine
8 lessons
0 of 8 done
- 1Using the Unit Circle to Graph Sine and CosineUp nextStart
- 2Amplitude and Midline Transformations of Sinusoidal FunctionsPremiumNot started yet
- 3Period and Frequency Transformations of Sinusoidal FunctionsNot started yet
- 4Phase Shifts in Sine and Cosine GraphsNot started yet
- 5Constructing Sinusoidal Equations from Data and GraphsNot started yet
- 6Modeling Real-World Periodic Behavior with Sine and CosineNot started yet
- 7Modeling Circular Motion and Ferris WheelsNot started yet
- 8Modeling Simple Harmonic Motion and Sound WavesNot started yet
Curriculum Framework
10th Grade · Math · Open Global Math
1
10 lessons
Right Triangle Trigonometry and Exact Values
Apply trigonometric ratios, complementary angle relationships, exact special right triangle values, and 2D/3D geometric reasoning to solve right triangles in applied contexts.
2
10 lessons
Non-Right Triangles: Law of Sines, Law of Cosines, and Area
Derive and apply the Law of Sines, Law of Cosines, and the sine area formula to solve oblique triangles in navigation, surveying, and vector modeling.
3
6 lessons
Radian Measure, Arc Length, and Sector Area
Define radians through arc length proportionality, derive sector and segment area formulas, and solve rotational and circular motion problems.
4
8 lessons
Unit Circle Analysis and Arbitrary Angles
Extend trigonometric functions to all real numbers using standard position, reference angles, quadrant signs, and Pythagorean identities on the unit circle.
5
8 lessons
Modeling Periodic Phenomena with Trigonometric Functions
Graph transformed sine and cosine functions and build sinusoidal models for real-world cyclical behavior including tides, temperatures, and harmonic motion.