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Year 8 - Maths

Representing sequences graphically

Sequences

Unit Summary

In this unit we develop knowledge of sequences to be able to identify, determine, and continue arithmetic sequences. We finish the unit by looking at how sequences may be reprsented graphically.

Lesson Summary

You will learn to represent arithmetic sequences graphically and appreciate the common structure.

Key Notes

  • The terms in a sequence can be written as coordinates.
  • The coordinates can be plotted on a grid.
  • Arithmetic sequences have common structures.
  • Other sequences might have common structures you can investigate.

Vocabulary To Learn

  • Arithmetic sequence: An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant.

Common Mistakes To Avoid

  • When plotting sequences, a line must be drawn through the points.

3 Quick Questions (With Answers)

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

The terms in a sequence can be written as coordinates. The coordinates can be plotted on a grid.

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: When plotting sequences, a line must be drawn through the points. Correction: Plot (1,5), (2,10), (3,15), draw a line and find other coordinates. When n = 1.5 the term value is 7.5. Is 7.5 in the sequence 5n??

More Lessons In This Unit

Browse all guides in the Year 8 Maths guide library.