# Activities

• • • ##### Subject Area

• Math: Algebra I: Equations and Inequalities
• Math: Algebra I: Expressions
• Math: PreAlgebra: Expressions
• Math: PreAlgebra: Equations
• Math: PreAlgebra: Nonlinear Functions

• ##### Author 6-8

60 Minutes

• ##### Device
• TI-30X IIB
• TI-30X IIS
• TI-34 II Explorer Plus™
• ##### Other Materials
This is Activity 4 from the EXPLORATIONS Book:
Math Investigations with the TI-30X IIS and TI-34 II: Activities for the Middle Grades

The following materials are required for this activity:
• Graph paper
• Straight edges

Picnic Challenge

#### Activity Overview

Students find patterns to solve problems, explore functions, and graph linear functions on the coordinate plane.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 31 - 35 from the attached PDF file for your class
• Study the calculator keystrokes
• #### During the Activity

Distribute the pages to the class.

• Understand the problem - find the combination of 6, 9, and 20 that adds to 50
• Formulate pattern rules for the problem
• Determine the number of patterns that repeat in a cycle
• Find the sum for each pattern rule
• Plot the results on a graph paper
• Find the largest impossible value and the combination that gives 50 as the sum
• #### After the Activity

Students complete the Student Activity pages and answer questions.

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