Education Technology

# Activities

Aust Senior

120 Minutes

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

4.5

Self Parking Car

#### Activity Overview

Driverless vehicles have the potential to no only change the way we commute but the way we go about our daily lives. All journeys start with a single step. The first step in this activity it determining the best equation for a driverless vehicle to use to safely exit a parking space. Students use trigonometric functions, polynomials and piecewise functions to build the optimum curve, then test it for real using a TI-Rover.

#### Objectives

• Transformations of a trigonometric function
• Transformations of a polynomial function
• Derivative of a polynomial
• Anti-derivative of a polynomial
• Simultaneous equations
• Distance between a point and function
• Define and build a hybrid (piecewise) function

#### Vocabulary

• Differentiable
• Continuous
• Point of inflexion
• Derivative
• Integral
• Hybrid or Piecewise
• Join smoothly = equal gradients