MYP 5Year 11Term 3
11.9 Trigonometric Modelling
Periodic behaviour · Sine and cosine functions · Fitting periodic models to data · [EXT] Set functions
Geometry
7 objectives
Learning objectives
What students should be able to do by the end of this unit.
Trigonometric Modelling
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- Identify periodic behaviour in real-world contexts (tides, daylight, sound, rotating machinery).
- Model periodic phenomena using $y = A \sin(B(x - C)) + D$ and $y = A \cos(B(x - C)) + D$.
- Identify and interpret amplitude, period, mean (vertical shift) and phase shift.
- Fit a sinusoidal model to data using technology.
- Use a fitted model to predict and interpret values in context.
- Investigate transformations of more general set functions and piecewise periodic functions.EXT
- Explore the tangent function.ENR
Review pack
Curated revision materials parents and students can download.
A review pack for this unit is being prepared.