Education Technology

# Activities

• ##### Subject Area

• Math: Precalculus: Functions and Graphs

9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• ##### Software

TI-Nspire™ CX
TI-Nspire™ CX CAS

5.0

## Position and Piecewise Velocity

#### Activity Overview

This lesson involves creating and comparing graphical representations of velocity and position based on real-life scenarios.

#### Objectives

• Students will modify a piecewise linear graph of velocity to model a scenario.
• Students will make connections between a graph of an object's velocity and a corresponding graph of an object's position.
• Students will create velocity graphs based on an object's position, and position graphs based on an object's velocity.

#### Vocabulary

• vertex
• velocity
• position
• increasing and decreasing functions

This lesson involves creating and comparing graphical representations of velocity and position based on real-life scenarios.
As a result, students will:

• Manipulate segments of a piecewise linear function to represent a real life scenario about the velocity of an object.
• Manipulate segments of a piecewise linear function to represent the velocity of an object given a real life scenario about its position.
• Make and evaluate predictions about the position of an object given information about the object’s velocity.