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به انگلیسی

Two-step addition and subtraction problems

Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why

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What a learner can do afterwards

  • Identify the two steps needed to solve a contextual problem
  • Choose between mental and written methods for each step based on the numbers
  • Explain why the chosen operations and methods are appropriate

1 · Read

Some problems need more than one calculation. You work out the first part, then use that answer to work out the second part. That's a two-step problem.

Try it together

Zara has $10. She buys a pencil for $3 and an eraser for $2. Step 1: add the prices, 3 + 2 = 5. That's what she spent. Step 2: subtract that from her $10, 10 - 5 = 5. Zara gets $5 change.

Pencil3Eraser2
012345678910pay $5
Zara starts with $10 and pays $5, leaving $5 change.
Good to know

Look at the numbers before you pick a method. Small, round numbers are quick to add in your head. Bigger or trickier numbers are safer to write down step by step.

Good to know

Before you calculate, plan both steps and think about why each one makes sense. That way your answer fits the problem.

Break the problem into two steps, solve the first, then use that answer for the second.

More to read

1.2 Add Whole Numbers

Word problems hide two jobs in one story. A shop sells some apples, then new apples arrive. That is a take away followed by an add.

Spot each job before touching numbers. The apple story needs 250 - 120 first, then the answer plus 80.

1.3 Subtract Whole Numbers

Order matters in two step stories. On a bus, 25 people get off first, then 38 get on. Work left to right through the story.

Ben and his stickers follow the same shape: 95 - 30 = 65, then 65 + 45 = 110. Each answer feeds the next step.

Add and subtract within 20: FAQ

Pick an easy method for each step. Small friendly numbers like 130 + 80 suit quick mental maths. Tricky numbers like 4867 - 2999 deserve a written column.

Matching the method to the numbers saves time and slips.

Addition, subtraction, and estimation: FAQ

Check that each operation fits its story line. New arrivals mean add, because the total grows. People leaving mean subtract.

Ask why at every step. If the reason is sound, the operation is sound.

Explore more

2 · Watch

به انگلیسی

Take it off screen

Print a worksheetA4 with an answer key page for grown-ups. No screen, no internet.

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

18 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

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Two-step addition and subtraction problems · Mathematics, ages 8 to 9 · LightMySky