Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Quadratic Functions

9-12

60 Minutes

• ##### Device
• TI-30X IIB
• TI-30X IIS
• TI-34 II Explorer Plus™
• ##### Other Materials
This is Activity 7 from the EXPLORATIONS Book:
Math Investigations with the TI-30X IIS: Activities for Secondary Mathematics

## What Goes Up Must Come Down

#### Activity Overview

In this activity, students use the calculator to solve quadratic equations. They use the quadratic formula to determine the vertex and the x-intercepts of the graph of a quadratic function.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 69 - 72 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to the class.

• Perform symbolic manipulation of the quadratic equation, use the calculator to solve the expression, and indicate both positive and negative solution
• Use the solution in the original equation and confirm the results
• Solve real world problems involving quadratic equations

• Use the function model for the height of a projectile and complete the time versus height data table
• Graph the function and find the maximum height for the projectile, time taken to reach the height, and time the ball remained in the air

• Solve the given quadratic formula for projectile motion and answer the questions
• Examine the graph of a quadratic function and realize that the shape is a parabola
• Determine the axis of symmetry (vertical intercept), and the x- or y- intercepts
• Understand the meaning of the intercepts and the vertex
• #### After the Activity

Students solve the equations and problems on the Student Activity pages.

Review student results:

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