Objectives
Part 1 of this 3 part series provided scaffolding to help students build formulas through visual, graphical and numerical methods and then prove their observations by process of Mathematical Induction. Part 2 removed much of the scaffolding but teachers interact with students providing feedback. Part 3 provides an assessment resource absent of scaffolding and support allowing students to independently work through a similar process.
Vocabulary
- Induction
- Sum
- Cumulative sum
- Cubic
About the Lesson
This free assessment resource follows the same systematic approach as Parts 1 and 2 culminating in a Mathematical Proof by induction. By completing parts 1 and 2 students will have developed a logical approach to developing a formula and then proving that the formula works for all whole numbers. An optional Visual Presentation is also available to help students understand how the formula is constructed.