All Activities
Maths

Multi-Step Word Problems

Overview

Students tackle problems that require two mathematical operations in sequence, developing a systematic approach: read, identify, calculate, check.

Learning Objective
Students solve two-step word problems by identifying the sequence of operations needed, working through each step systematically, and checking their answer in context.

Resources needed

  • Mini whiteboards
  • Word problem cards or board display

Lesson stages

0 / 7 done
  1. 1 Show: 'Lena has 24 stickers. She gives 8 to her friend. How many does she have?' (One step.) Then: 'Lena has 24 stickers. She gives 8 to her friend and then gets 12 more. How many now?' (Two steps.) Count the questions — the second has two things to find.
  2. 2 Read, Underline key information, Choose the operation, Solve, Answer in a sentence, Check. Model this with one problem, annotating each step visibly.
  3. 3 Work through a problem stopping after step 1. 'What have we found? Is this the final answer? What else do we need to do?' Students recognise the intermediate answer is a tool, not the goal.
  4. 4 Pairs work through three two-step problems together, one person recording, the other checking. Each step is labelled: Step 1: ___. Answer: ___. Step 2: ___. Final answer: ___.
  5. 5 Problems mixing addition, subtraction and multiplication. Students must decide which operation each step requires before calculating. 'Underline the numbers and circle the operation words.'
  6. 6 Students write their own two-step word problem and swap with a partner. The partner solves it. Discuss: 'Does the problem make sense? Is the answer possible?'
  7. 7 For each answer, students ask: 'Is this reasonable? Could a class have −5 children? Could a bag weigh 500kg?' Learning to self-check against real-world plausibility.

Tap a step to mark it as done.

Variations

  • Extend to three-step problems
  • Include money, time, or measurement contexts
  • Provide problems with unnecessary information that students must identify and ignore
More information

Teach operation vocabulary: altogether, remaining, each, change, difference, total, more than, less than. Display a word bank for each operation.

Provide a worked example as a model. Highlight operation words in problems. Allow jottings and drawings to support understanding.

Do students identify both steps before starting? Do they use the result of step 1 correctly in step 2? Do they check their answer is sensible?

Problems written on board. Students work on plain paper or mini whiteboards.

Students may answer after the first step only. Ask: 'Have you answered the question that was asked?' and re-read the problem.