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Column subtraction – Year 3 maths lesson

UK version. UK school years, UK spelling and pounds (£). · US Math Department

A complete 45-minute lesson for Year 3 (ages 7–8) that runs on this page – at school or at home. Every answer is marked straight away, with a worked explanation.

Time
45 minutes + 15 min homework
Year
Year 3 (ages 7–8)
You need
Paper, a pencil and this page
Marked
Instantly, with explanations

For parents: how to use this lesson

You don't need to know this topic yourself. The lesson explains each step on screen, the way Mr Euclid, our Head of Maths, likes it: one tidy step at a time. Every answer is marked straight away with a worked explanation, so you never have to mark anything.

  1. Read what your child will learn together.
  2. Press Start the lesson below and sit with your child for the teaching and the worked examples (about 19 minutes).
  3. Let them do the practice on their own. They choose Getting started, On track or Challenge – start on On track and move up after a few right in a row.
  4. Finish with the exit ticket and the talk question: “Explain what happens when you need to exchange from a zero.”
  5. Later that day or the next day: the homework (15 minutes), then a practice test.

Watch out for

  • Taking the smaller digit from the bigger one whatever the order (e.g. 2 − 7 written as 5). Read each column aloud as "top take away bottom"; if you cannot, exchange.
  • Forgetting to reduce the column you exchanged from. Always cross out and rewrite the digit as soon as you exchange.
  • Getting stuck at a zero. Show 400 − 1 with base 10 blocks: a hundred is exchanged for 10 tens, then a ten for 10 ones.

Miss Hypatia's tip for home: Work out change or the difference between two heights, then check by adding.

What your child will learn

We are learning to subtract numbers using column subtraction.

Success looks like

  • I can line up the digits.
  • I can exchange when the top digit is smaller.
  • I can check my answer by adding.

Key words

column subtraction
a written method that subtracts one column at a time
exchange
swap 1 ten for 10 ones (or 1 hundred for 10 tens)
difference
the answer to a subtraction
inverse
the opposite operation: addition undoes subtraction

What to have ready

  • Paper and a pencil
  • This page on a computer, tablet or phone
  • For the hands-on part: Use base 10 blocks to show an exchange: break a ten into ten ones, then write the same calculation in columns. No base 10 blocks? Draw tens as sticks and ones as dots, and cross out a stick to make ten dots.

The lesson, step by step

45 minutes in 5 parts
PartTimeHow it is checked
Starter: quick recall5 minMarked by Classfern
Teaching input10 minNot assessed, self-checked
Worked examples and guided practice9 minNot assessed, marked by Classfern
Independent practice15 minMarked by Classfern
Plenary and exit ticket6 minMarked by Classfern, self-checked

Starter, "your turn", practice and exit ticket are marked by Classfern. Worked examples and teaching are not assessed. The hands-on task and the reflection are self-assessed. Explanations in talk are judged by the parent and not recorded.

The lesson

It runs here on the page. No sign-up and no names – progress is kept only in this browser.

Homework and practice at home

15 minutes: 8 practice questions, 3 multiple-choice questions and 2 to remember from earlier work, then a short reflection. New questions every time, all marked instantly.

More practice

All Year 3 maths lessons and tests · Maths Department

Curriculum

National Curriculum for England, Year 3: “add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction”

Contains public sector information licensed under the Open Government Licence v3.0.

Our lessons and questions are our own. They are not written or endorsed by any government department, testing agency or exam board.