Objectives
Part 1 of 3: Induction - Students build equations visually, graphically and then 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
- Sum
- Cumulative Sum
- Quadratic
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.