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      Partition two-digit numbers into tens and ones

      Lesson details

      Learning outcome

      I can represent and interpret the structure of two-digit numbers on part-part-whole and bar models.

      Key learning points

      1. Two-digit numbers can be partitioned into tens and ones.
      2. The order of the digits indicates their value.

      Keywords

      • Partition - To split a whole up into parts.

      • Combine - To put parts together to make a whole.

      • Part - A piece or section of a whole.

      • Whole - All of something; complete.

      Common misconception

      Children may reverse the digits in a two-digit number, not understanding the value of each digit, or partition, for example, 54 into 5 and 4

      Return to the use of practical equipment and ask children to prove they are right using it. They could also explain their ideas to a friend to encourage them to spot their own errors.

      Teacher tip

      Display stem sentences and use them routinely to articulate their thinking, particularly with regard to the value of each digit. Present part-part-whole models in a range of orientations so that children understand the structure of the model and how that relates to the numbers used.

      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.
      Which of the following bar models represents 62?

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

      Q2.
      If we combine the parts, what will the whole amount be?

      An image in a quiz
      Correct answer: 46 p
      64 p
      10p

      Q3.
      What is the missing part in the part-part-whole model?

      An image in a quiz
      Correct Answer: 1, one

      Q4.
      What is the missing part in the bar model?

      An image in a quiz
      Correct Answer: 60, 6 tens

      Q5.
      Each number has been partitioned into tens and ones. Which number has been partitioned correctly?

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

      Q6.
      Lucas has some 10 p and some 1 p coins in his pocket. Altogether, he has 47 p in his pocket. How many of each coin does he have?

      Seven 10 p coins and four 1p coins.
      Four 10 p coins and four 1 p coins.
      Correct answer: Seven 1 p coins and four 10 p coins.

      6 Questions

      Q1.
      If we combine the parts, what will the whole amount be?

      An image in a quiz
      12
      48
      Correct answer: 84

      Q2.
      Which of the following part-part-whole models represents 56?

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

      Q3.
      What is the missing part in the bar model?

      An image in a quiz
      Correct Answer: 70, seventy

      Q4.
      35 has been partitioned into tens and ones. What is the missing number? 35 can be partitioned into ___ and 5

      Correct Answer: 30, 3 tens

      Q5.
      What is the missing part in the part-part-whole model?

      An image in a quiz
      Correct Answer: 8, 8 ones

      Q6.
      Which bar model shows 52 partitioned correctly?

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

      To help you plan your 2 maths lesson on: Partition two-digit numbers into tens and ones, download all teaching resources for free and adapt to suit your pupils' needs...