New
New
Year 6

Composition of one million and 10 million

I can compose one and ten million in different ways.

New
New
Year 6

Composition of one million and 10 million

I can compose one and ten million in different ways.

Lesson details

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)

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.

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.

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.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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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

50

Correct Answer:100 ÷ 4,25

25

Correct Answer:100 ÷ 5,20

20

Correct Answer:100 ÷ 10,10

10

Q4.
Match the expression with its product.
Correct Answer:1,000 × $$ \frac{1}{2} $$ ,500

500

Correct Answer:1,000 × $$ \frac{1}{4} $$ ,250

250

Correct Answer:1,000 × $$ \frac{1}{5} $$ ,200

200

Correct Answer:1,000 × $$ \frac{1}{10} $$ ,100

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

300

Correct Answer:b,600

600

Correct Answer:c,900

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

2,000

Correct Answer:b,6,000

6,000

Correct Answer:c,8,000

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