Education Technology

# Activities

9-12

45 Minutes

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

TI-Nspire™
TI-Nspire™ CAS

3.6

## Maximizing the Area of a Garden

#### Activity Overview

In this activity, students explore the area of a garden with a rectangular shape that is attached to a barn. Exactly three sides of the garden must be fenced. Students will sketch possible gardens and enter their data into a spreadsheet.

#### Objectives

• Students will determine the relationship between the width and length of a garden with a rectangular shape and a fixed amount of fencing. The garden is attached to a barn, and exactly three sides of the garden will be fenced.
• Students will determine a formula that can be used to compute the area of the garden when given the width.
• Students will find the dimensions of the garden that has the maximum possible area.

• perimeter
• area
• maximize
• conjecture