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Feature Articles Opening Up Mathematics Problems*

 

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Extended Investigation

Example 1:

What is the average of 11, 12, and 13?

I have three whole numbers whose average is 12. What could the numbers be?

How many combinations are there?

How do you know you have them all?

Example 2:

6 + 5 = ______

I have two whole numbers that add up to 11. What could the numbers be?

How many pairs of numbers add up to 11, if you allow the inclusion of negative numbers?

 

*Adapted from material from Charles Lovitt, Curriculum Corporation, Australia.




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