Why word problems are harder
A word problem asks a child to read, understand the situation, choose what to do and then calculate. Children often grab the numbers and add them, or look for a "key word" like "altogether" that sometimes points the wrong way. The aim is understanding the story, not spotting words.
In the Year 6 SATs, two of the three maths papers are reasoning papers, full of problems in words, so this skill matters well beyond Year 1.
A simple routine
- Read it twice. Once for the story, once for the question. What are they actually asking?
- Picture it. Draw it, act it out with toys, or use a bar model (below).
- Decide. Are we putting together, taking away, sharing, or making groups?
- Estimate, then calculate. "About how many?" stops wild answers.
- Check it makes sense. Read the answer back into the story. Can a bus really carry 3,000 children?
Bar models
Many schools teach bar models: rectangles that show the parts and the whole. "Sam has 12 stickers and gives 5 away" is a bar of 12 with 5 cut off; the other part is what's left. Once a child can draw the bar, choosing the calculation becomes much easier. Ask your child to show you how their class draws them.
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- Make up problems from real life: "We need 3 eggs for each cake and we're making 4 cakes. How many eggs?"
- Let your child make up a problem for you, and get it wrong on purpose so they can explain.
- Shopping: "We have £5. Can we buy both?" "How much change?"
- Ask "How did you know?" rather than "Is it right?" Explaining is what reasoning means.
- Multi-step problems: for Years 5 and 6, break them into small questions. "What do we need to find out first?"
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