Education Technology

Position and Piecewise Velocity

Subject Area
Math: Precalculus: Functions and Graphs
Level
9-12
Activity Time
45 Minutes
Software
TI-Nspire™ CX
TI-Nspire™ CX CAS
TI Calculator
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
5.0
Resource Types
Lessons
Format
TNS

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

About the Lesson

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.

Subject Area
Math: Precalculus: Functions and Graphs
Level
9-12
Activity Time
45 Minutes
Software
TI-Nspire™ CX
TI-Nspire™ CX CAS
TI Calculator
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire Version
5.0
Resource Types
Lessons
Format
TNS
iPad is a trademark of Apple Inc., registered in the U.S. and other countries.
Vernier EasyData,Vernier EasyLink and Vernier EasyTemp are registered trademarks of Vernier Science Education.