Grade
5

Same & Different: Gazing at Arrays

Look at the two pictures. What do you notice?

A: 384 divided by 12, modeled with base ten pieces (3 hundred-squares, 8 ten-strips and 4 units). Red linear pieces mark off the dimensions: 12 by 32. B: An open array model shows 12 by 30 and 12 by 2.
  1. How are pictures A and B mathematically the same, and how are they different?
    • A and B are the same because …
    • A and B are different because …
  2. Make a third picture of a multiplication or division model. Explain how your picture is the same as pictures A and B, and how it is different.
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Reference for Educators

Sample problems and solutions