- Students will understand the role of the values of a and n in the equation r = asin(nθ).
- Students will be able to predict the number of petals and their length by examining the polar equation.
- Student will understand the relationship between the equation of a rose curve and the equation of a sinusoidal function.
- rose curve
- sinusoidal function
About the Lesson
This lesson involves clicking on sliders to observe the effect of changing the values of a and n in the equation r = asin(nθ).
As a result, students will:
- Generalize the roles of a and n in the equation.
- Grab a point and drag it along a sinusoidal function. As the point is dragged, the corresponding polar equation will be formed.
- Compare the equations of the function and the rose curve, and make generalizations about the relationship between the two equations.
- Write equations of rose curves when given information about the petals of the curve.