Year 6 - Maths
Using patterns in counting sequences
Order, compare and calculate with numbers up to 8 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 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 patterns in counting sequences.
Key Notes
- Counting patterns and known facts support calculation with millions.
- Counting patterns can be represented as addition and subtraction equations.
- Missing values can be calculated using addition and subtraction.
Vocabulary To Learn
- Sequence: A sequence is a succession of objects, diagrams or values usually formed according to a rule.
- Term: Each number in a sequence is called a term. Each term has a position - a location in the sequence.
Common Mistakes To Avoid
- Children may struggle to identify or explain the pattern or to identify the number of steps from the first given number to the last instead just giving the number of missing values.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Counting patterns and known facts support calculation with millions. Counting patterns can be represented as addition and subtraction equations.
2. Use this key word in a maths sentence and explain it clearly. 'Sequence'
A sequence is a succession of objects, diagrams or values usually formed according to a rule. 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 identify or explain the pattern or to identify the number of steps from the first given number to the last instead just giving the number of missing values. Correction: If children struggle to identify the pattern ask them to start by identifying the part of the number that is changing. Model the 'steps' rather than the missing parts to support children to see this.
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
- Use knowledge of the composition of seven-digit numbers to solve problems Study Guide
Browse all guides in the Year 6 Maths guide library.