Parabolas+&+Parameters

__**Lesson 1 - Parametric Equations of the Parabola **__ This video shows some AFL footballs following the paths of various parabolas. media type="youtube" key="L_YR0749-h4?rel=0" height="360" width="640" align="center"
 * __Parabolas and Parameters __** Parametric equations are a set of equations in terms of a parameter that represent a relation. Each value of the parameter, when evaluated in parametric equations, corresponds to a point along the curve of the relation. To convert equations from parametric form into a single relation, the parameter needs to be eliminated by solving simultaneous equations. If the position of a point is given in terms of the parameter, to find the locus of the point is to find the equation of the path that the point takes as the parameter's value changes.

This powerpoint file gives an introduction to parameters. Open this file and save it to your laptop for the lesson notes on Exercise 23.1 This video shows some basketballs following the paths of various parabolas. media type="youtube" key="bb22eRysKog?rel=0" height="360" width="480" align="center"

__**Lesson 2 - Equation of a Chord on a Parabola **__ This video shows the Guinness World Record for highest basketball shot. media type="youtube" key="UlS5-H4gwDM?rel=0" height="360" width="640" align="center" Open this file and save it to your laptop for the lesson notes on Exercise 23.2 This video shows a golf ball following the path of a parabola. media type="youtube" key="B6WcUyjpir8?rel=0" height="360" width="640" align="center" __**Lesson 3 - Tangent and Normal to a Parabola **__ Is this the world's biggest basketball shot?media type="youtube" key="ABk6l47XArg?rel=0" height="360" width="480" align="center" Open this file and save it to your laptop for the lesson notes on Exercise 23.3 Watch this tutorial about parameters from MathsOnline. Changing Parametric To Cartesian Equations __**<span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Lesson 4 - Chord of Contact of Tangents Drawn To A Parabola From An External Point **__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: center;">This tutorial revisits the concepts from last lesson. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: center;">Tangents & Normals To The Parabola <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: center;">Open this file and save it to your computer for the lesson notes on Exercise 23.4 <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: center;">Here is another tutorial from MathsOnline. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: center;">Equations of Chords