Education Technology

# Activities

Aust Senior

120 Minutes

• ##### Device
• TI-Nspire™ CX
• TI-Nspire™ CX CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

5.0

#### Activity Overview

It starts with an envelope, progressed to a curve and then a whole world of mathematics opens up. From the humble parabola, the curve is transformed and explored using algebra, parametric equations, rotations, calculus (including implicit differentiation); this activity has got the lot! Hours of enjoyment.

#### Objectives

Students explore a simple Bezier curve in the form of a parabola, however the control points on the Bezier curve mean the parabola can be dilated, translated and rotated quickly and easily. Students soon discover a world of mathematics that can be used to help unwind the complexity of a parabola that has been rotated. The world of mathematics nicely links several areas of the Specialist Mathematics curriculum.

#### Vocabulary

• Bezier Curve
• Parametric Equations
• Cartesian Equation
• General Equation for a conic
• Implicit differentiation
• Chain rule
• Axis of Symmetry
• Rotation