CHAPTER 4 Patterns, functions and relationships


In order to complete this chapter, you should already: • know that numeric patterns, also called number patterns, are patterns that consist of numbers;


• know that geometric patterns are patterns that consist of shapes; • know that to extend a pattern means to find some more terms in that pattern; • know that geometric patterns often have number patterns associated with them; and


• know that number patterns can be represented in different ways, including in tables, in flow diagrams and in words.


Unit 1 Investigate and extend patterns


Unit 2 The general rule


Patterns,


functions and relationships


Unit 4 Equivalent forms


Unit 3 Input and output values


On completion of this chapter, you will be able to: • investigate and extend numeric and geometric patterns, looking for relationships between numbers, including patterns represented in physical or diagram form, in tables and algebraically;


• create your own numeric and geometric patterns; • describe and justify the general rules for observed relationships between numbers in your own words or in algebraic language;


• determine input values, output values or rules for patterns and relationships using flow diagrams, tables, formulae and equations; and


• determine, interpret and justify equivalence of different descriptions of the same relationship or rule presented verbally, in flow diagrams, in tables, by formulae and by equations.


Chapter 4: Patterns, functions and relationships 117


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