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Make equal groups

Making equal groups means partitioning a collection into groups with the same whole-number quantity, determining either the number of groups or the number in each group, and relating the groups to the total. Drawings and arrays reveal that equal groups can be counted by repeated addition or skip-counting and represented by multiplication situations; sharing and grouping are inverse ways to reason about the same quantities. Fractions, unequal groups, and division with remainders are beyond this scope.

Detailed Explanation: Make equal groups

Equal groups have the same number of objects in every group.

Example: Mia has (12)(12) stickers. She puts them into 33 equal groups. How many stickers are in each group?

  1. Draw 33 groups:

xxxxxx \boxed{\phantom{xx}}\quad \boxed{\phantom{xx}}\quad \boxed{\phantom{xx}}
  1. Share the stickers one at a time, giving one sticker to each group during each round. After 44 rounds, each group has 44 stickers:

444 \boxed{4}\quad \boxed{4}\quad \boxed{4}
  1. Check that the groups make the total. Add the groups:

4+4+4=12 4+4+4=12
  1. Write the multiplication fact:

3×4=12 3 \times 4=12

So, there are 44 stickers in each of the 33 equal groups.

Learn by doing: Make equal groups

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Division Car Model - Total and Car Count to Per Car - No Remainder (2 Digit)


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