Activities

• • • Subject Area

• Math: Algebra I: Expressions
• Math: Algebra I: Sequences and Series
• Math: PreAlgebra: Expressions
• Math: Middle Grades Math: Algebraic Thinking

• Author 6-8

60 Minutes

• Device
• TI-30X IIB
• TI-30X IIS
• TI-34 II Explorer Plus™
• Other Materials
This is Activity 3 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:
• Plastic discs
• Black transparencies/Chart paper
• Report an Issue

Expanding Space Station

Activity Overview

Students will find and compare function rules for a given pattern. They also evaluate variable expressions.

Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 22 - 25 from the attached PDF file for your class
• Study the calculator keystrokes
• During the Activity

Distribute the pages to the class.

• Explore the existing pattern
• Generate a function rule for the pattern at stage 4 and a rule using 'n' as the stage number
• Record the rule in words that reflect the pattern
• Create a table of function rules that are mathematical equivalent
• Generalize the rule for the 4th and the nth stage
• Recognize the fact that a rule can have multiple statements
• Write down different versions of the rule
• Compare the different versions of the function rule and their outputs
• Simplify all the versions and understand that the results are same
• After the Activity

Students complete the Student Activity pages and calculate the total number of units needed at each stage of the NASA plan.

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