Multiple representation of proof

Last updated: 15/11/2023
Contributor: David Main
Multiple representation of proof
Main Subject
Key stage
Category
Algebra: Proof
Inside
Includes answers
Resource type
Student activity
Complete lesson
Maths
Reasoning
Powerpoint for GCSE or early KS5 showing multiple proofs of the statement:

The sum of two consecutive triangular numbers create a square number.

The activity takes a class through visual representation and pattern spotting to algebraic proof of the statement. Students may benefit from having manipulatives available to create triangular and square numbers and patterns of them.

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