Year 9 - Maths
Graphing special number sequences using technology
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 plot the graph of a special number sequence.
Key Notes
- Visual representations of a sequence can help with identification.
- Special number sequences can produce interesting graphs.
Vocabulary To Learn
- Triangular number: A triangular number (or triangle number) is a number that can be represented by a pattern of dots arranged into a triangle.
Common Mistakes To Avoid
- Pupils may think that given a graph is continuous, the sequence can contain all of the values represented by the line.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Visual representations of a sequence can help with identification. Special number sequences can produce interesting graphs.
2. Use this key word in a maths sentence and explain it clearly. 'Triangular number'
A triangular number (or triangle number) is a number that can be represented by a pattern of dots arranged into a triangle. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may think that given a graph is continuous, the sequence can contain all of the values represented by the line. Correction: It is important that pupils know when it is appropriate to draw a line to graph sequences and whether values on the line have any meaning. Sequences are often given as a list of terms and without context we cannot assume the sequence is continuous.
More Lessons In This Unit
- Checking understanding of arithmetic sequences Study Guide
- Extrapolating a sequence Study Guide
- Features of geometric sequences Study Guide
- Features of special number sequences 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.