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      Use place value and number facts to decompose 4-digit numbers in different ways

      Lesson details

      Learning outcome

      I can partition and decompose 4-digit numbers in different ways.

      Key learning points

      1. Place value counters can represent 4-digit numbers
      2. Each digit in a 4-digit number represents a different column value.
      3. A part-whole model can represent 4-digit numbers partitioned in different ways.

      Keywords

      • Partition - The act of splitting an object or value down into smaller parts

      Common misconception

      Zero is a tricky concept for some pupils when it comes to place value. For example, pupils might struggle to read and understand the number 2,087, or struggle to express in numbers a representation.

      Blank place value grids are an excellent scaffold. Give pupils ample opportunities to explore using them both with concrete resources such as counters and with numerals, practising reading and writing the number.

      Teacher tip

      The lesson explores the composition of 4-digit numbers using a variety of manipulatives. You have the choice, as part of the lesson design process, which to use and not use. Please bear in mind that Base 10 blocks are useful because they show the proportionality of the numbers. Counters do not.

      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.
      Complete: The total value of the Base 10 blocks is

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      Correct Answer: 500

      Q2.
      What number is being represented here by the Base 10 blocks?

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      Correct Answer: 417

      Q3.
      What number is being represented here by the Base 10 blocks?

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      Correct Answer: 327

      Q4.
      What number is being represented here?

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      Correct Answer: 609

      Q5.
      What is the missing addend? 487 = 80 + + 400

      Correct Answer: 7

      Q6.
      Complete: 583 − 80 =

      Correct Answer: 503

      6 Questions

      Q1.
      What number is being represented here by the Base 10 blocks?

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      232
      2012
      231
      Correct answer: 2,312

      Q2.
      What number is being shown here on the Gattengo chart?

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      Correct Answer: 2,584, 2584

      Q3.
      What is the missing part of this number?

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      Correct Answer: 50, 5 tens

      Q4.
      What number is being represented here with counters in a place value chart?

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      11
      362
      Correct answer: 3,062

      Q5.
      What number is being represented here with counters in a place value chart?

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      Correct Answer: 5,004, 5004

      Q6.
      What number is being shown here?

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      Correct Answer: 2,084, 2084

      To help you plan your 4 maths lesson on: Use place value and number facts to decompose 4-digit numbers in different ways, download all teaching resources for free and adapt to suit your pupils' needs...