Part 3 of 3: Induction Assessment consists of a graded series of short answer questions - Exam style. The question follow a similar sequence to those in Parts 1 and 2. Students develop a formula for the sum of cubed numbers and compare it to the squared sum of whole numbers. Students use their calculator as applicable to answer questions which culminate in a proof by Mathematical Induction to show that their formula holds true.
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.
- Cumulative Sum
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.