# Activities

• • • ##### Subject Area

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

• ##### Author 6-8

60 Minutes

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

## The First Twelve Days of School

#### Activity Overview

Students learn to organize data, look for patterns, and solve problems. They will count the number of "coins" in a variation of The Twelve Days of Christmas song. They will also generalize the patterns through symbolic expressions.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print the transparency sheet and pages 4 - 5 from the attached Student PDF file for your class
• #### During the Activity

Distribute the page to the class.

• Act out the first three days of the poem
• Count the coins received each day
• Organize the data by listing in a table the day, number of coins received on the day, and the total number of coins
• Predict the number of coins received on other days
• Complete the table with data for 12 days
• Use an algebraic expression to generalize the pattern
• Extend the pattern and find the number of coins received after a set number of days
• Observe that the sum of the first n whole numbers is n (n + 1)/2
• #### After the Activity

Students complete the activity sheet and answer questions.

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