# Activities

• • • ##### Subject Area

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

• ##### Author 6-8

60 Minutes

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

Power Company

#### Activity Overview

Students explore the limits on powers that can be displayed without scientific notation and look for patterns in the powers.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print the transparency sheet and pages 70 - 72 from the attached Student PDF file for the class
• #### During the Activity

Distribute the pages to the class.

• Find the greatest whole number exponent for the bases given on the Activity page so that the product is displayed without scientific notation
• Understand that the exponent for 4 is the greatest whole number less than or equal to one-half of the exponent for 2, because 4 is the square of 2
• Realize that the exponent for 25 is the greatest whole number less than or equal to one-half of the exponent for 5, because 25 is the square of 5
• Find the square root of the greatest number that can be displayed on the calculator
• Take its integer part to determine the greatest whole number whose square can be displayed on the calculator without using scientific notation
• Understand that if the base is 1, the product is always 1 [irrespective of the exponent]
• #### After the Activity

Students complete the Activity pages.

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