The core mathematics of this unit is about understanding cyclical relationships between two quantities. Students develop a conceptual understanding of the repetition belonging to periodic functions and using this foundation for interpreting features of trigonometric functions including period, frequency, and amplitude. This unit builds on student experiences from geometry with trigonometric ratios, radian measure, and triangle applications to understand the unit circle as a tool for creating and analyzing trigonometric functions.
- What makes a function periodic?
- How are sine and cosine examples of a periodic function?
- How can we model periodic behavior?
- How do we compare different ways of measurement?