Visual and algebric proofs

Last updated: 15/11/2023
Contributor: David Main
Visual and algebric proofs
Main Subject
Key stage
Algebra: Proof
Includes answers
Resource type
Student activity

Powerpoint for GCSE or early KS5 showing mulitple proofs of the statement:

If you multiply any triangular number by 8 and add 1, the answer is always a square.

The activity takes a class through visual representation and pattern spotting to algebraic and visual 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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