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Activities

Induction Part 2 - Tetrahedral Numbers

Activity Overview

Part 2 of 3: Induction for tetrahedral numbers requires students to establish a formula for the tetrahedral numbers. Just like the first activity in this series, students use a variety of techniques, but this time with much less mathematical and technology scaffolding. Students are then required to prove, by Mathematical Induction that their formula holds true. Other similar formulas are also proved using the process of Mathematical Induction.

Objectives

Part 2 of 3: Induction - students build equations visually, graphically and numerically and then prove their formula to be true for all whole numbers by Mathematical Induction. Additional questions are provided for students to practice the process of Mathematical Induction.

Vocabulary

• Induction
• Tetrahedral Numbers
• Sum
• Cubic

About the Lesson

By building their own formula and then going on to prove the formula is true, students develop an understanding of the mathematical cycle rather than dealing with Mathematical Induction in isolation.