Riding the Waves: Graphing Sinusoidal Functions Through Tidal & Daylight Contexts
Shared by A STEM Educator
Students will be able to identify and apply the amplitude, period, phase shift, and midline of a sinusoidal function in the form y = A·sin(B(x − C)) + D to produce accurate graphs and interpret them in real-world tidal and daylight contexts.
Lesson Overview
Students progress from identifying parameters of y = A·sin(B(x − C)) + D to graphing full transformations in tidal/daylight contexts, with each task changing exactly one parameter to isolate its effect on the graph.
Materials
- Vertical whiteboards or large chart paper
- Dry-erase markers (multiple colors)
- Graphing calculators or Desmos access for verification
- Four-quadrant note-taking template (half-sheet)
Scaffolded Task Progression
(a) State the amplitude, period, midline, and phase shift.(b) Sketch one full cycle on your whiteboard, labeling the five key points: start, max, mid-descent, min, end. [ Interactive graph / diagram — available in the full lesson ]
(a) State the amplitude, period, midline, and phase shift.(b) Sketch one full cycle. How does the graph compare to Task 1?(c) What is the maximum tide height? The minimum? [ Interactive graph / diagram — available in the full lesson ]
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