UNIT 1 Investigate and extend patterns


In this unit you will: • investigate and extend numeric and geometric patterns; • look for relationships between numbers, including patterns represented in physical or diagram form, in tables and algebraically; and • create your own numeric and geometric patterns.


Patterns and sequences


Another name for a pattern is a sequence. In maths, a sequence is a list of terms or numbers arranged in a specific order. Numeric patterns are patterns that consist of numbers. Numeric patterns are also called number patterns. Geometric patterns are patterns that consist of shapes.


Exercise 1


1 Write down the next three terms in each of the following patterns: 1.1 1; 3; 5; 7; … 1.3 2; 6; 10; 14; … 1.5 1; 4; 9; 16; …


1.2 1 1.7 AC; ACE; ACEG; …


1.4 2; 6; 18; 54; … 1.6 2; −3; −8; −13; … 1.8 1; |1|; |1|1|; …


__ 3 ; 1


__ 6 ; …


2 Kholeka uses matches to build the pattern shown below in stages:


__ 4 ; 1


__ 5 ; 1


Stage 1


Stage 2


Stage 3


2.1 Draw Stage 4 and Stage 5. 2.2 Copy and complete the table below to show how many matches are used for the different stages: Stage


Number of matches


1 4


2 7


3 4 5


118 Chapter 4: Patterns, functions and relationships


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