Year 6 - Maths
Count forwards and backwards in powers of 10 to and from any multiple of 1,000
Multiples of 1,000
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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 explain how one hundred thousand can be composed and read and write numbers up to one million.
Lesson Summary
You will learn to count forwards and backwards in steps of 10, 100 and 1,000 to and from any multiple of 1,000.
Key Notes
- When you don't cross a boundary, only one digit changes when you count in 10s, 100s and 1,000s
- When you count across a boundary, two or more digits will change.
- Unitising when counting can help when crossing boundaries.
Vocabulary To Learn
- Multiple: A multiple is the result of multiplying a number by an integer (not by a fraction).
Common Mistakes To Avoid
- Pupils struggle to count over the boundaries for multiples of ten thousand and one hundred thousand.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
When you don't cross a boundary, only one digit changes when you count in 10s, 100s and 1,000s. When you count across a boundary, two or more digits will change.
2. Use this key word in a maths sentence and explain it clearly. 'Multiple'
A multiple is the result of multiplying a number by an integer (not by a fraction). Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils struggle to count over the boundaries for multiples of ten thousand and one hundred thousand. Correction: Ensure children focus on the number of thousands they have within the number. This should effectively be the same as counting in ones over tens and hundreds boundaries, with the exception of the unit changing from ones to thousands.
More Lessons In This Unit
- Explain how one hundred thousand can be composed Study Guide
- Explain how ten thousand can be composed Study Guide
- Explain that 10,000 is composed of 5,000s, 2,500s and 2,000s Study Guide
- Explain that 100,000 is composed of 50,000s, 25,000s and 20,000s Study Guide
- Position 6-digit multiples of 1,000 on a marked but unlabelled number line Study Guide
- Position five-digit multiples of 1,000 on a marked but unlabelled number line Study Guide
- Read and write numbers up to one million in a range of contexts Study Guide
- Read and write numbers up to one million using a place value chart Study Guide
- Read the scales of graphs and measures using knowledge of the composition of 10,000 and 100,000 Study Guide
Browse all guides in the Year 6 Maths guide library.