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

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

• ##### Report an Issue

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