To help a child choose an operation in a word problem, start with the situation and the question, then represent the quantities. A keyword such as “more” or “left” is not a reliable shortcut. The same word can appear in problems requiring different operations.
Ask what the problem wants to find
Invite your child to explain the question in their own words or point to the objects involved. Separate known quantities from the unknown. An empty box in a drawing can stand for the missing amount.
The Institute of Education Sciences elementary math guide includes a recommendation about word problems. The original examples below help you discuss meaning while staying consistent with methods used at school.
Represent four different situations
Joining. Zoe has 8 marbles and Sam has 5. How many do they have together? Draw the two groups, then join them: 8 + 5 = 13 marbles.
Finding what remains. A bus carries 18 people. Seven get off. How many remain? Crossing out seven objects in a drawing of 18 represents 18 − 7 = 11 people.
Comparing. Leah has 12 stickers and Noah has 9. How many more stickers does Leah have? Align two rows or draw two bars. The difference is 12 − 9 = 3 stickers. The word “more” does not automatically mean add.
Equal groups. Four bags each contain 3 apples. How many apples are there? Draw four groups of three: 4 × 3 = 12 apples. If multiplication has not been introduced, 3 + 3 + 3 + 3 represents the same situation.
Two problems to try
- There are 24 pencils shared equally among 6 pencil cases. How many pencils go in each case?
- Alex now has 15 cards. He won 4 cards during a game. How many did he have at the start?
Let your child choose objects or a diagram before writing an equation. The second question includes winning cards, but the unknown is the starting amount.
Answers and checks
- 4 pencils: 24 ÷ 6 = 4. Six groups of four reconstruct the total of 24.
- 11 cards: 15 − 4 = 11. Check: 11 starting cards + 4 won = 15 cards now.
Answering with a unit helps check meaning. “4 pencil cases” is not the answer to the first question even though the number is correct.
Separate interpretation from calculation
If the drawing represents the situation correctly but the calculation is difficult, simplify the numbers without changing the story. If the situation remains confusing, read it aloud or act it out with objects. Notice which support changes the child’s approach and share a concrete example with the teacher if needed.
Practise arithmetic separately with our mental math exercises. For this activity, the goal is to choose and explain a method, rather than finish before someone else.
