Education Technology

Activities

• Subject Area

• Math: Geometry: Analytic Geometry

9-12

60 Minutes

• Device
• TI-89 / TI-89 Titanium
• TI-92 Plus / Voyage™ 200

TI Connect™

• Accessories

TI Connectivity Cable
Unit-to-Unit link cables

• Other Materials
This is Activity 11 from the EXPLORATIONS Book:
Geometric Investigations on the Voyage 200 with Cabri

Construction Tools: Interactive Function Graphs

Activity Overview

Students draw a dynamic graph of the quadratic function ax2 + bx + c with interactive parameters a, b, and c. They understand that there is only one graph of the function that changes dynamically as the values of the parameters change.

Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 56 - 59 from the attached PDF file for your class
• During the Activity

Distribute the pages to the class.

Follow the Activity procedures:

• Define the domain of the independent variable
• Scale the function and save the scale factor
• Define the function and draw it
• Draw lines perpendicular to the points on the x and y axis representing the independent and dependent values of the function
• Understand that the intersection of these two perpendicular lines is a point on the graph of the function
• Drag the point on the x-axis to see whether the point of intersection follows the path of the graph
• Explore the graph of the function interactively
• After the Activity

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary