Year 6 - Maths
Use knowledge of the composition of seven-digit numbers to solve problems
Order, compare and calculate with numbers up to 8 digits
Study Hub
Study Guides
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 use representations to identify and explain patterns in powers of 10 and read numbers with up to 7 digits efficiently. They will order and compare numbers with up to 8 digits and calculate with numbers of this scale.
Lesson Summary
You will learn to use knowledge of the composition of seven-digit numbers to solve problems.
Key Notes
- The digits in a number indicate its structure so it can be decomposed.
- Numbers can be decomposed, or partitioned, according to the value of their digits.
- Missing parts can be determined by comparison of known parts to the whole.
Vocabulary To Learn
- Partition: When we partition a value or object, we split it into smaller parts.
Common Mistakes To Avoid
- A child may give the incorrect value for a digit or struggle to see how to partition larger numbers in a non-standard way.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The digits in a number indicate its structure so it can be decomposed. Numbers can be decomposed, or partitioned, according to the value of their digits.
2. Use this key word in a maths sentence and explain it clearly. 'Partition'
When we partition a value or object, we split it into smaller parts. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: A child may give the incorrect value for a digit or struggle to see how to partition larger numbers in a non-standard way. Correction: Use a place value chart or counters to prove the value of the digit and use a Gattegno chart to support partitioning.
More Lessons In This Unit
- Add and subtract mentally without bridging a boundary Study Guide
- Add multiples of powers of 10 crossing the millions boundary Study Guide
- Compare numbers with up to eight digits Study Guide
- Composition of seven-digit numbers Study Guide
- Determine the value of digits in numbers up to 10 million Study Guide
- Estimate and identify numbers on number lines Study Guide
- Solving problems using column addition and subtraction Study Guide
- Subtract multiples of powers of 10 crossing the millions boundary Study Guide
- Using patterns in counting sequences Study Guide
Browse all guides in the Year 6 Maths guide library.