Students learn to graph sine and cosine as smooth, repeating waves — and how amplitude and period reshape them — the mathematics behind sound, light, tides, and every oscillation in nature.
Students will be able to…
Sound, light, tides, and heartbeats all rise and fall in waves. What is the shape of the sine curve, and how do amplitude and period control it?
Project this and change the amplitude and frequency. Watch the wave grow taller or squeeze together — amplitude and period in action.
Tap any phase to open the teacher moves and student actions.
What shape do sound, light, and tides all share?
Teacher models.
Class uses the Sine Grapher.
Students graph waves.
One wave.
Aligned to the Common Core State Standards for Mathematics (High School: Precalculus).
Graph trigonometric functions, showing period, midline, and amplitude.
Model periodic phenomena with trigonometric functions.
Identify the effect of transformations on a graph.
Interpret key features of graphs, including periodicity.
Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.
Have students fit a sine function (with amplitude and period) to a real periodic dataset like daily tides or hours of daylight. A printable trig-graphing sheet is in the Math library.
Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.
A quick self-check with instant feedback, drawn from this lesson’s key terms.
A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.