# History of Math

This is a sample lesson plan for use in my History of Mathematics class.

TOPIC: Parametric Equations

Objectives
 The student will solve a real-life problem using parametric equations.

Materials Needed:

• Graphing calculators
• Nerf-type "gun" that will shoot a rocket-like object
• Measuring tape
• Stopwatch
• Recording sheets
• Large protractor (teacher-size for use on chalkboards) to measure angle of launch

Definition
 Parametric Equations: http://en.wikipedia.org/wiki/Parametric_equation

# Media

 Before we begin: watch this introduction to parametric equations video.

# Questions

 What is the best angle of launch if we want the nerf rocket to go the farthest distance? How can we model the flight of the rocket using a mathematics equation?

Activity
 Modeling the flight of the rocket. We will begin by answering the first question by trial and error. Specifically, we will fire the gun at different launch angles (30 degrees, 45 degrees, 60 degrees) and measure to determine which yields the longest flight distance. Next, we will discuss how to model the flight of the rocket graphically. Specifically, we will determine the horizontal and vertical vectors that will determine the rocket's location in space at any given time of the flight. Work in progress, expect frequent changes. Help and feedback is welcome. See discussion page. 