Education Technology

# Activities

## Let's Do Summagic

#### Activity Overview

Students learn to quickly add lists of numbers by adding like terms and using the distributive property.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 69 - 72 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to the class.

• Choose two numbers, a and b as the first two terms in a sequence of ten numbers
• Generate the next eight terms in the sequence where each number is equal to the sum of the two preceding numbers
• Use the distributive property to find the number of a's and b's in the sequence
• Observe that there are 55 a's and 88 b's in the sequence
• Notice that 55a + 88b gives the sum of the sequence
• Observe that (11 * the seventh term of the sequence) also results in the sum of the sequence
• #### After the Activity

Students will complete the Worksheet and analyze the results.

Review student results:

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