Year 6 - Maths
Composition of one million and 10 million
Understand place value within numbers with up to 7 digits
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will identify and place the position of 6-digit multiple of one thousand numbers, on a marked, but unlabelled number line They will read scales in graphing and measures contexts by using their knowledge of the composition of 10,000 and 100,000.
Lesson Summary
You will learn to compose one and ten million in different ways.
Key Notes
- Unitising can be used to support the composition of 7- or 8- digit numbers.
- If 250 is one quarter of one thousand, then 250,000 is one quarter of 1,000 thousands (1 million)
- If 200 is one fifth of 1,000 then 200,000 is one fifth of 1,000,000
- If 2,500 is one quarter of ten thousand, then 2,500,000 is one quarter of 10 thousand thousands (10 million)
- If 2,000 is one fifth of 10,000 then 2,000,000 is one fifth of 10 thousand thousands (10,000,000)
Vocabulary To Learn
- 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 Mistakes To Avoid
- Children may struggle to use unitising to make connections between the composition of 1,000 or 10,000 and one million or ten million.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Unitising can be used to support the composition of 7- or 8- digit numbers. If 250 is one quarter of one thousand, then 250,000 is one quarter of 1,000 thousands (1 million).
2. Use this key word in a maths sentence and explain it clearly. '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. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Children may struggle to use unitising to make connections between the composition of 1,000 or 10,000 and one million or ten million. Correction: 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.
More Lessons In This Unit
Browse all guides in the Year 6 Maths guide library.