Topics covered within this unit: 7.1 Introduction to patterns 7.2 Representing patterns
7.3 Examining the rate of change of a pattern
7.4 Identifying a pattern as linear or non-linear
The Learning Outcomes covered in this chapter are contained in the following sections:
AF.1a AF.1c AF.7d N.4 GT.5b
Key words Pattern
Stage Variable Linear graph Slope (rate of change)
Patterns
Something to think about …
A high-speed train is moving between two posts along a straight track, a distance 3.78 km apart. It travels 60 metres in the fi rst second. After 2 seconds, the total distance travelled is 120 metres. After 3 seconds, the train has travelled a total distance of 180 metres.
If the train continues to travel at this rate, how many seconds does it take to travel between the posts?
7.1 Introduction to patterns
By the end of this section you should: ● understand what a pattern is ● be able to fi nd a given stage in a basic pattern
We see patterns every day – patterns on clothing, carpets, wallpaper, books and magazines, and more.
A pattern can be explained as a repeated design or recurring sequence. It is an ordered set of numbers, shapes, or other mathematical objects, arranged according to a rule.
There are many different types of patterns. Some have pictures (graphics); others have numbers or letters. Here are some examples of basic patterns.