Exploding Dots

4.5 Wild Explorations

Here are some “big question” investigations you might want to explore, or just think about. Have fun! 

 

 

EXPLORATION 1: IS THERE ANOTHER WAY TO INTERPRET THE DOTS-AND-BOXES ANSWERS?

When Sunil saw

he wrote on his paper the following lines:

He then said that the answer has to be \(165\).

a) Can you explain what he is seeing and thinking?

b) What would Sunil likely write on the page for \(7109-3384\)?

 

EXPLORATION 2: WHAT ABOUT NEGATIVE ANSWERS?

 How might you handle and interpret this subtraction problem?

 

 

 

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