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      Solve problems with numbers with up to 3 decimal places

      Lesson details

      Learning outcome

      I can solve problems with numbers with up to 3 decimal places

      Key learning points

      1. Apply known facts and place value to solve problems involving up to 3 decimal places.
      2. Extend column addition and subtraction to include numbers with up to 3 decimal places.
      3. Use number facts to 10 to bridge through ones, tenths and hundredths.

      Keywords

      • Represent - A representation is a way of showing a mathematical idea. Concrete objects, pictures and symbols can all be used to represent mathematics.

      • Operation - A mathematical process such as addition, subtraction, multiplication or division can be described as an operation.

      • Efficient - An efficient strategy is a way of solving a problem that is accurate and can be done more quickly than others.

      Common misconception

      Pupils may look to adopt a formal written strategy straight away when this is not necessary.

      Share different strategies utilised by pupils within the lesson and compare these to expand pupils' understanding of efficiency.

      Teacher tip

      Give plenty of time for pupils to represent problems with bar models without an emphasis on finding the answer. This will support pupils to access the maths through the worded contexts and enable them to identify appropriate operations to help solve.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      How many mm are there in 1 cm?

      Correct Answer: 10, 10 mm, 10 millimetres

      Q2.
      How many mm are there in 0.025 m?

      0.025
      5
      Correct answer: 25
      250

      Q3.
      How many mm are there in 0.5 m?

      Correct Answer: 500, 5 hundred, five hundred

      Q4.
      0.008 + 0.003 =

      Correct Answer: 0.011, 11 thousandths, eleven thousandths

      Q5.
      What is the difference between 0.524 and 0.529?

      Correct Answer: 0.005, 5 thousandths, five thousandths

      Q6.
      What operation is required to find the missing value?

      An image in a quiz
      Correct answer: addition
      subtraction
      multiplication
      division

      6 Questions

      Q1.
      Tick the known fact that could help you to solve: 0.004 + 0.005 = ?

      Correct answer: 4 + 5 = 9
      2 + 7 = 10
      6 + 3 = 9
      8 + 1 = 9

      Q2.
      The centre of the net should be 0.914 m tall. At the moment, the height of the net is 0.921 m tall. How much should the net be lowered by? mm

      Correct Answer: 7, 7 mm

      Q3.
      Which bar model represents the equation? 200 mm + 70 mm = ?

      An image in a quiz
      An image in a quiz
      Correct Answer: An image in a quiz
      An image in a quiz

      Q4.
      In one week, 0.046 m of rain fell. The next week, 0.015 m of rain fell. How much rain fell in total over the two weeks? Give your answer in metres.

      Correct Answer: 0.061 m, 0.061 metres

      Q5.
      One parcel weighs 0.4 kg and one parcel weighs 1.37 kg. How much do they weigh altogether? Give your answer in kilograms.

      Correct Answer: 1.77 kilograms, 1.77 kg

      Q6.
      Order these lengths from longest to shortest.

      1 - 4 m
      2 - 0.4 m
      3 - 0.39 m
      4 - 0.375 m
      5 - 0.004 m

      To help you plan your 5 maths lesson on: Solve problems with numbers with up to 3 decimal places, download all teaching resources for free and adapt to suit your pupils' needs...