VIC: Squares and Cubes

Objectives

• Interpret a geometric pattern algebraically
• Prove result by induction.

Vocabulary

• Proof by Induction,
• Expand and factorise

About the Lesson

Students use an interactive TI-Nspire document to help interpret a geometric representation of a sequence. Appropriately scaffolded questions are provided to guide students, including a range of representations of the corresponding sequence. Students are then provided with an opportunity to generalise the result algebraically including a corresponding proof.