Skill: Explain a solution in words

Explanation and Free Practice Resources

An explanation in words connects the quantities in a simple addition or subtraction situation—typically within 20—to the operation and equation that represent it, identifying what is known, what is unknown, and why a strategy such as counting on, making a ten, or using a related fact gives the answer. The explanation reflects the meaning of the operation rather than merely reporting a result; formal proof, generalized rules, and multistep arguments are outside this scope.

Detailed Explanation: Explain a solution in words

When you explain a solution, tell:

  • What you know
  • What you need to find
  • Which operation matches the story
  • How your strategy gives the answer

Example: Maya has 8 crayons. Her teacher gives her 5 more crayons. How many crayons does Maya have now?

  1. We know Maya has 8 crayons and gets 5 more.

  2. The word more means we join the groups, so we use addition.

  3. We need to find the total number of crayons.

  4. We can count on from 8 five times:

    9, 10, 11, 12, 139,\ 10,\ 11,\ 12,\ 13

  5. So, the equation is

8+5=138+5=13

Maya has 13 crayons. I know this because adding 5 more to 8 gives a total of 13.

Learn by doing: Explain a solution in words

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Algebraic Equation from Sentence - Addition and Subtraction


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