Curriculum placement
Algebra 2. This describes the skill, not a learner estimate.
Period, amplitude, and midline
Interpret period amplitude phase and midline
Problem types
- Amplitude, period, midline and shift
- Choose the parameters that make a sine function odd
- Compare a graphed sinusoid with a sine rule
Builds on
- Shifts, stretches, and reflections of graphs
- Radians and the unit circle
- Motion described by a parameter · Useful idea
Each coordinate of a circular parametric motion is a sine or cosine of the parameter, with amplitude and period.
- Reading increase and decrease from a graph · Earlier idea
A graph that rises and falls repeatedly describes a periodic situation, and the sinusoid parameters measure that pattern.
Leads to
- Choosing a periodic model
- Inverse trigonometric functions
- Polar and Cartesian coordinates · Extend the idea
Graphing the radius against the angle gives curves such as circles and roses.
Related skills
- Odd, even, and periodic trig functions · Related idea
Odd, even and periodic symmetry of sine and cosine appear on the graph as point symmetry, mirror symmetry and repetition every period.
- The complex plane · Shared foundations
- Exact values at special angles · Shared foundations
- Pythagorean and angle-sum identities · Shared foundations
Open the interactive map to explore lessons and skill connections.