Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Quadratic Functions

9-12

45 Minutes

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

TI-Nspire™
TI-Nspire™ CAS

4.5

## Zeros of a Quadratic Function

#### Activity Overview

Merge graphical and algebraic representations of a quadratic function and its linear factors.

#### Objectives

• Students will determine the linear factors of a quadratic function.
• Students will connect the algebraic representation to the geometric representation.
• Students will discover that the zeros of the linear factors are the zeros of the quadratic function.
• Students will discover that the zeros of the quadratic function are the zeros of its linear factors.

• zeros

#### About the Lesson

This lesson involves merging graphical and algebraic representations of a quadratic function and its linear factors. As a result, students will:

• Manipulate the parameters of the linear functions and observe the resulting changes in the quadratic function.
• Find the zeros of the quadratic function by finding the zeros of its linear factors.
• Solve quadratic equations by factoring and be able to explain why this process is valid.