Grouping multiplication

Which part first?

Group three factors in two ways and keep track of what each first count means.

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9 practice questions · Optional read aloud · Thinking pad

Let’s understand the idea.

  1. The collection has boxes, bags in each box and beads in each bag. Three factors describe its structure.
  2. First count all the bags, then their beads. Or first count the beads in one box, then all the boxes.
  3. Parentheses show which multiplication to do first. Grouping the factors differently keeps the same total.

Something to notice

Ask the learner to explain what the intermediate count measures, compare both ways for the same collection and choose an efficient grouping for new factors. Six questions accept either strategy but require its correct intermediate and final counts; two remove those prompts and one probes the meaning of the parentheses. Division applications and educator/learner review remain separate work. This lesson does not establish automatic recall, full transfer or mastery.

Try it. Change it. Explain it.

Open the lesson to use its pictures and controls. In How it works, connect the picture to the idea. In Play & discover, change the quantities and notice what stays the same. In Your turn, answer questions and use the explanation to check your reasoning.

You can ask for help, draw on the thinking pad, or listen to the question and answer options. Progress distinguishes independent work from work completed with help.

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Curriculum connection

Grade 3 · 3.OA · US Common Core

3.OA.B.5

This lesson is mapped to these standards. A completed activity is practice evidence, not a claim of mastery. Content is checked against the linked official standards and its mathematical models are tested.