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Year 9 - Maths

Checking and securing understanding of non-linear sequences

Graphical representations

Unit Summary

In this unit pupils draw, interpret and utilise linear graphs to solve problems. This knowledge is further extended to look at intersecting graphs.

Lesson Summary

You will learn to appreciate that not all sequences are linear.

Key Notes

  • You can identify different types of sequences.
  • If there is a common difference, the sequence is arithmetic.
  • If there is a common ratio, the sequence is geometric.
  • Special sequences will have different rules.

Vocabulary To Learn

  • Arithmetic sequence: An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant.
  • Geometric sequence: A geometric sequence is a sequence with a constant multiplicative relationship between successive terms.

Common Mistakes To Avoid

  • All sequences have to be arithmetic (linear) or geometric.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

You can identify different types of sequences. If there is a common difference, the sequence is arithmetic.

2. Use this key word in a maths sentence and explain it clearly. 'Arithmetic 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: All sequences have to be arithmetic (linear) or geometric. Correction: There are many types of sequences; arithmetic and geometric are just two types.

More Lessons In This Unit

Browse all guides in the Year 9 Maths guide library.