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Year 11
Patterns and Graphs


 
 
 
 

Scope of the Topic

This page covers tables, patterns and graphs and their links to equations.

There are a number of videos on the Video Page for this topic.
 

Terminology

Students need to be careful to always write points and equations using correct notation.

Do not leave the "y =" out of equations in particular.

The Head Marker noted in 2012 regarding this topic – and it hasn't changed since:

At all levels of achievement, there were frequent instances of candidates not using and not understanding terminology and conventions associated with the content of this standard. [in particular]
  • the coordinates of points are expressed as (x, y);
  • equations have at least one term on either side of an "=" sign
  • vocabulary: gradient, intercept, intersection, continuous, discrete, parallel, consecutive, horizontal,
   vertical, straight, curve, translate.


Tables and Patterns

Patterns Notes    

How to write rules (equations) for patterns of all types.


Patterns 1     Patterns 2     Patterns 2    

Practice at Linear Patterns, with half at Achieved and half at Merit.
 
Patterns 4     Patterns 5     Patterns 6    
 
Quadratic and exponential patterns, at Merit and Excellence level.
 
Patterns 7     Patterns 8     Patterns 9    

Some practice pages on patterns and tables at Achieved, Merit and Excellence level. These have more explanation in the answers than the ones above.
 

Graphs

Graphing Notes    

How to draw graphs, write equations for graphs, and answer a few graphing problems in contexts.


Achieved 1     Achieved 2     Achieved 3

Merit+ 1     Merit+ 2     Merit+ 3    

Practice pages concentrating on graphing and writing equations on grids.

Merit+ Parabolas 1     Merit+ Parabolas 2     Merit+ Parabolas 3    

Practice specifically at finding the equations of parabolas where the first term is not a simple x². These are mostly Excellence level.

Context 1     Context 2     Context 3    

Context 4     Context 5     Context 6    

Practice at using the different graphing skills in contexts (which is how the questions will often be given). These are mostly quite hard questions.

Graph Paper

Practice grid paper 2 grids or 4 grids if you want to practice drawing lines or parabolas.