Math Arguments

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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Item 516

Breaking twenty-five

In this "Tiny Math Games" post by Dan Meyer, there's an idea from Malcolm Swan

Pick a number. Say 25. Now break it up into as many pieces as you want. 10, 10, and 5, maybe. Or 2 and 23. Twenty-five ones would work. Now multiply all those pieces together.

What's the biggest product you can make?

What's your strategy?
Will it always work?
Does it work for fractions?

Is there another set of numbers you could use that isn't explicitly against the stated rules?


What other mathematical aspects of this caught your attention? What do you wonder about the situation?

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Notice, Wonder
Dan Meyer
MS Math

Source: Dan Meyer
More Information:
Noticing and wondering is a tool to help students:
- Understand the story, the quantities, and the relationships in the problem.
- Understand what the problem is asking and what the answer will look like. Have some ideas to begin to solve the problem.
More Here at NCTM


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