Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Quadratic Functions
• Math: Developmental Mathematics - College: Exponents and Polynomials

9-12

20 Minutes

• ##### Device
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

2.0

## The Box Method

#### Activity Overview

Students discover how to factor a quadratic function using the Box Method.

#### Key Steps

• The document begins with a quadratic expression with a = 12,

b = –13, and c = –4. Each successive page will instruct students how to create a "box" with organized terms that will lead to the factors of the polynomial.

• A spreadsheet helps the student to find a pair of factors that add to the linear term. Even negative and positive numbers may be tested to find the correct pair. In this case, 3 and –16 works, while no other pair has a sum of –13x.

• The values are stored so that the next few steps can be completed by the student.

•

When the box is complete, the binomial pairs are found on the outside of the box, and should be checked by expanding.