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      Composition of one million and 10 million

      Lesson details

      Learning outcome

      I can compose one and ten million in different ways.

      Key learning points

      1. Unitising can be used to support the composition of 7- or 8- digit numbers.
      2. If 250 is one quarter of one thousand, then 250,000 is one quarter of 1,000 thousands (1 million)
      3. If 200 is one fifth of 1,000 then 200,000 is one fifth of 1,000,000
      4. If 2,500 is one quarter of ten thousand, then 2,500,000 is one quarter of 10 thousand thousands (10 million)
      5. If 2,000 is one fifth of 10,000 then 2,000,000 is one fifth of 10 thousand thousands (10,000,000)

      Keywords

      • Composition - The composition of a whole is the way in which it is made. For example, in the context of this lesson, we will look at equal parts of the whole.

      Common misconception

      Children may struggle to use unitising to make connections between the composition of 1,000 or 10,000 and one million or ten million.

      Use the suggested stem sentences e.g. '250 is one quarter of 1,000, so one-quarter of 1,000 thousands must be 250 thousand' to support developing the unitising concept.

      Teacher tip

      Check that children are secure with the composition of 10, 100, 1,000 and 10,000 before starting this lesson - in particular, with regards to halves, quarters, fifths and tenths. You may wish to make use of models in the lesson to secure this understanding before extending.

      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.
      Select the correct value to complete the sentence. 100 is composed of ten equal parts of ___

      5
      Correct answer: 10
      15
      20
      50

      Q2.
      Select the correct value to complete the sentence. 100 is composed of five equal parts of ___

      10
      15
      Correct answer: 20
      25
      50

      Q3.
      Match the expression with the correct quotient.

      Correct Answer:100 ÷ 2,50
      Correct Answer:100 ÷ 4,25
      Correct Answer:100 ÷ 5,20
      Correct Answer:100 ÷ 10,10

      Q4.
      Match the expression with its product.

      Correct Answer:1,000 × $$ \frac{1}{2} $$ ,500
      Correct Answer:1,000 × $$ \frac{1}{4} $$ ,250
      Correct Answer:1,000 × $$ \frac{1}{5} $$ ,200
      Correct Answer:1,000 × $$ \frac{1}{10} $$ ,100

      Q5.
      Read the scale. There are three intervals marked with a letter. Match the letter to the number it represents on the scale.

      An image in a quiz
      Correct Answer:a,300
      Correct Answer:b,600
      Correct Answer:c,900

      Q6.
      Read the scale. There are three intervals marked with a letter. Match the letter to the number it represents on the scale.

      An image in a quiz
      Correct Answer:a,2,000
      Correct Answer:b,6,000
      Correct Answer:c,8,000

      6 Questions

      Q1.
      Look at the bar model and complete the sentence. Each part has a value of ___

      An image in a quiz
      100,000
      200,000
      Correct answer: 250,000
      500,000

      Q2.
      Look at the bar model and complete the sentence. Each part has a value of ___

      An image in a quiz
      100,000
      Correct answer: 200,000
      250,000
      500,000

      Q3.
      Read the scales. Which number is shown by the letter ‘a’?

      An image in a quiz
      500,000
      700,000
      Correct answer: 750,000
      800,000
      900,000

      Q4.
      Look at the bar model and complete the sentence. Each part has a value of ___

      An image in a quiz
      1,000,000
      Correct answer: 2,000,000
      2,500,000
      5,000,000

      Q5.
      Read the scales. Which number is shown by the letter ‘a’?

      An image in a quiz
      100,000
      750,000
      1,000,000
      2,500,000
      Correct answer: 7,500,000

      Q6.
      An African Bush elephant has a mass of about 10 million grams. A Black rhinoceros has a mass one-fifth times this amount. What is the mass of the rhino? The mass of the rhino is g

      Correct Answer: 2,000,000, 2,000 kg

      To help you plan your 6 maths lesson on: Composition of one million and 10 million, download all teaching resources for free and adapt to suit your pupils' needs...