Odd Squares

Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?

Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
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Problem



 

Think of a number.

Square it.

Subtract your starting number.

Is the number you're left with odd or even?

Try with other numbers.

What do you notice?

How do these images help you explain your observations?

 

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Odd Squares

               

Image
Odd Squares

               

Image
Odd Squares