Year 6 - Maths
Add and subtract mentally without bridging a boundary
Order, compare and calculate with numbers up to 8 digits
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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 add and subtract mentally without bridging a boundary with one or more digits changing.
Key Notes
- Known facts to 10 can be applied when adding and subtracting 100s, 1,000s, 10,000s and 100,000s
- When adding and subtracting mentally, the language of unitising supports us in addition to using known facts.
- An understanding of the structure of numbers and place value supports when we add and subtract mentally.
Vocabulary To Learn
- Addend: An addend is a number added to another. They are also known as the parts.
Common Mistakes To Avoid
- Children may believe that only one digit will change when adding two numbers where one addend has only one non-zero digit.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Known facts to 10 can be applied when adding and subtracting 100s, 1,000s, 10,000s and 100,000s. When adding and subtracting mentally, the language of unitising supports us in addition to using known facts.
2. Use this key word in a maths sentence and explain it clearly. 'Addend'
An addend is a number added to another. They are also known as the parts. 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 believe that only one digit will change when adding two numbers where one addend has only one non-zero digit. Correction: This is usually correct but what would happen if the digit changed to a value of 10 or greater? Then we would need to regroup (another lesson).
More Lessons In This Unit
- 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
- Use knowledge of the composition of seven-digit numbers to solve problems Study Guide
- Using patterns in counting sequences Study Guide
Browse all guides in the Year 6 Maths guide library.