Education Technology

Triangular Numbers

Activity Overview

Introduction to Induction - In this activity students establish formulas for the triangular numbers through visuals, numeric representations and Pascals Triangle. These are all observations, at the conclusion of the activity students prove their formula is true for all values of n. 


Students explore and develop the use of the technique of proof by mathematical induction to prove results.


  • Induction
  • Proof
  • Integer
  • Combinatorics
  • Regression

About the Lesson

Introduction to Induction - Students explore triangular numbers through a combination of visual and numerical representations including Pascals Triangle. Through these structures students establish a formula and conclude by proving their formula works for all whole numbers. The teacher notes includes answers, a slide show is also available for download to provide powerful visuals to the entire class.