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Dot Card Counting

Directions: How can we figure out how many dots there are below?

Hint

Hint

What is another strategy for figuring out the number of dots?

Answer

Answer

Strategies will vary for counting the 11 dots.  Some will see a column of 5 down the middle and 2 sets of 3 dots on either side.  Some will see 3 rows of 3 dots and 2 extra dots between them.

Source: Dan Meyer.  Additional examples can be found here using a resource provided by Melissa Canham.

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2 comments

  1. The next step in dot card counting is moving kids to think about equivalence. Using the above sample, I’ve turned to first graders and asked them, “Is is legal to say, 5+3+3 = 2+3+3+3? Most will say, “No!” But a few will add up both sides and find that each side equals 11. And then, there’s always one or two who combine the 2 with a 3 on the right side of the equation and prove equivalency by showing 5+3+3 = 5+3+3.

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