Lesson 1: 10.1 Curves Defined by Parametric Equations
Duration of Days: 3
Lesson Objective
Students will be able to graph parametric equations, convert parametric equations to Cartesian equations, and recognize the resulting graph from the combination of two parametric curves.
- How are parametric equations different from Cartesian equations?
- What is the drawback of converting a set of parametric equations to one Cartesian equation?
- parametric equations
- parametric curve
- initial point, terminal point
- cycloid
(graphing curves defined parametrically)
- Graphing and converting parametric equations
- DOK Levels 1-4
- calculating and analyzing projectile motion and circular motion
- determine the exact motion of robotic arms for welding, painting, or assembly
- describe the movement of satellites or celestial bodies
- reconstruction of 3D images from 2D data in MRI and CT scans
Considering a point on the curve as x and y values both being in terms of a third parameter, t, is new to students.
Homogeneous grouping and whole-class discussion
section assessment
problems assigned from book