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Represent equal groups with drawings

An equal-groups drawing shows a collection partitioned into groups with the same number in each, making visible the two factors: the number of groups and the number in each group. It connects the structure to repeated addition and a multiplication equation for whole-number totals within 100, while distinguishing equal from unequal groups; arrays may clarify the structure, without extending to larger or more generalized products.

Detailed Explanation: Represent equal groups with drawings

To represent equal groups, draw the same number of objects in each group.

Example: Draw 3 equal groups of 4 stars.

  1. Draw 3 separate groups.
  2. Put 4 stars in each group.
⋆ ⋆ ⋆ ⋆⋆ ⋆ ⋆ ⋆⋆ ⋆ ⋆ ⋆\boxed{\star\ \star\ \star\ \star} \qquad \boxed{\star\ \star\ \star\ \star} \qquad \boxed{\star\ \star\ \star\ \star}

There are 3 groups, and there are 4 stars in each group.

Write the repeated addition:

4+4+4=124+4+4=12

Write the multiplication equation:

3×4=123\times4=12

So, 3 equal groups of 4 make 12. The groups must have the same number of objects; groups with different numbers would not be equal groups.

Learn by doing: Represent equal groups with drawings

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Counting in Groups - Pictures (Dice)


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