# Activities

• • • ##### Subject Area

• Math: Middle Grades Math: Number Sense
• Math: Middle Grades Math: Algebraic Thinking
• Math: PreAlgebra: Number Sense and Operations

• ##### Author 6-8

60 Minutes

• ##### Device
• TI-30X IIB
• TI-30X IIS
• TI-30Xa
• TI-34 II Explorer Plus™

## Power Patterns

#### Activity Overview

Students investigate patterns that show relationships between powers and roots. They learn to identify strategies to be used to find important patterns in data.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print the transparency sheet and pages 60 - 64 from the attached Student PDF file for the class
• #### During the Activity

Distribute the pages to the class.

• Calculate the square root of numbers 100, 200, ... 1,000, and record the values in the table
• Determine the greatest number less than 1,000 that is a perfect square
• Calculate the cube root of numbers 1,000, 2,000, ... 10,000, and record the values in the table
• Determine the greatest number less than 10,000 that is a perfect cube
• Write the fourth roots of the numbers 10,000, 20,000, .... 100,000 and record the values in the table
• Write the seventh roots of the numbers 10,000,000, 20,000,000, .... 100,000,000 and record the values in the table
• Determine the greatest perfect square and cube that can be displayed on the calculator without using scientific notation
• Understand that if a < x < b, then a2 < x2 < b2, and √a < √x < √b
• Solve the riddles on the Activity sheet
• #### After the Activity

Students complete the Activity pages and answer questions.

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