Every word problem hides one question: which operation— addition, subtraction, multiplication, or division — matches what’s actually happening in the story? The numbers are rarely the hard part. Figuring out what to do with them is.
Clues that point to each operation
Addition usually means combining or putting together. Subtraction usually means taking away, finding a difference, or comparing how much more/less. Multiplication usually means equal groups repeated, or scaling something up. Divisionusually means splitting into equal groups or finding how many groups fit. These are patterns to notice, not a checklist of magic words — the same word (“left”) can show up in both addition and subtraction problems depending on context.
Let me show you one
“A baker makes 8 trays of 12 muffins each. She sells 63 muffins. How many are left?” Two steps, two operations: first find the total made, 8 × 12 = 96 muffins (equal groups — multiplication). Then find what remains, 96 − 63 = 33 muffins (taking away — subtraction). Solving it means reading the story in order and matching each sentence to its own operation, not searching for one operation to solve the whole thing at once.
Check the answer against the story, not just the math
After calculating, reread the question and ask whether 33 muffins makes sense as an answer to “how many are left.” This habit catches a huge share of mistakes — a number that’s arithmetically correct but answers the wrong question (like reporting 96 instead of 33) slips through unless you check it against the actual sentence being asked.
The mistake I see most
Grabbing the numbers in a problem and guessing an operation instead of reading what’s actually being described. The fix is retelling the problem out loud in your own words before writing any numbers — if you can’t explain what’s happening in plain English, you’re not ready to pick an operation yet.
Want to work through it together?
If your child can compute correctly but freezes the moment a problem is written as a story, that’s exactly the gap we close — by practicing the translation step, not just more arithmetic.
