Education Technology

Rose Curve

Updated on 07/01/2014

Activity Overview

This lesson involves clicking on sliders to observe the effect of changing the values of a and n in the equation r = asin().

Objectives

  • 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.

Vocabulary

  • amplitude
  • frequency
  • 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.