# Square Thinkers

 Miss Pie thinks of a numberthen squares it. Thag thinks of a differentnumber and squares it. Russ realises that his number squared is equal to the other two square numbers added together. What numbers didthese people think of?

## A Mathematics Lesson Starter Of The Day

Topics: Starter | Arithmetic | Pythagoras

• Transum,
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• What methods did your pupils use to work on this starter. Were they confident enough to figure out solutions in their heads or did they use pen and paper. What strategies did they employ to work through the different possible combinations? Did you allow them to use a calculator?
For those with access to computers did a spreadsheet prove to be a useful tool for this activity? If anyone wrote a simple computer program looping through all of the combinations we would be interested to see their code.
• Transum,
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• Thanks to Scott C from Normanton who wrote a Scratch program for solving this problem. A link to his program can be found in the Answers section below for those signed in.

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.

Previous Day | This starter is for 5 December | Next Day

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 Teacher, do your students have access to computers?Do they have iPads or Laptops in Lessons? Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Transum.org/go/?Start=December5

Here is the URL which will take them to a related student activity.

Transum.org/go/?to=pythagoras

For Students:

For All: