Education Technology

The First Twelve Days of School

Subject Area
Math: Algebra I: Sequences and Series
Math: Algebra II: Quadratics
Math: Middle Grades Math: Algebraic Thinking
Math: PreAlgebra: Nonlinear Functions
Level
6-8
Activity Time
60 Minutes
TI Calculator
TI-30 X IIS™ / TI-30Xa
Resource Types
Lessons

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.

    Follow the activity procedures:

  • 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
  • Subject Area
    Math: Algebra I: Sequences and Series
    Math: Algebra II: Quadratics
    Math: Middle Grades Math: Algebraic Thinking
    Math: PreAlgebra: Nonlinear Functions
    Level
    6-8
    Activity Time
    60 Minutes
    TI Calculator
    TI-30 X IIS™ / TI-30Xa
    Resource Types
    Lessons
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