Year 9 - Maths
Checking understanding of arithmetic sequences
Non-linear relationships
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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 we explore geometric and special number sequences like the Fibonacci sequence. We develop strategies to recognise types of sequence and continue them.
Lesson Summary
You will learn to appreciate that any term in an arithmetic sequence can be expressed in terms of its position in the sequence and generate any term.
Key Notes
- An arithmetic sequence can be identified through a common difference between consecutive terms.
- Arithmetic sequences can be represented visually as well as algebraically.
- The formula for the n^th term allows us to generate any term in the sequence based on its position.
Vocabulary To Learn
- Arithmetic/linear sequence: An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant
Common Mistakes To Avoid
- Pupils assume a sequence is arithmetic and only check the first few terms.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
An arithmetic sequence can be identified through a common difference between consecutive terms. Arithmetic sequences can be represented visually as well as algebraically.
2. Use this key word in a maths sentence and explain it clearly. 'Arithmetic/linear sequence'
An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils assume a sequence is arithmetic and only check the first few terms. Correction: Encourage pupils to check all the terms of a sequence they are given to check that the pattern they think they have spotted is continuing.
More Lessons In This Unit
- Extrapolating a sequence Study Guide
- Features of geometric sequences Study Guide
- Features of special number sequences Study Guide
- Graphing special number sequences using technology Study Guide
- Problem solving with non-linear relationships Study Guide
- Recognising geometric sequences Study Guide
- Recognising special number sequences Study Guide
- Representing geometric sequences graphically Study Guide
- Securing understanding of arithmetic sequences Study Guide
Browse all guides in the Year 9 Maths guide library.