Students need to be familiar with the behaviour of all the functions they meet and for older students be able to sketch those functions.
To start, a look at the various functions students meet for GCSE.
On Dr Austin Maths, we have plenty of her lovely exercises on Graphs, under Algebra, we have Coordinates and Linear Graphs and Non-Linear Graphs which includes transformations of graphs.
Third Space Learning has a selection of clear examples on sketching graphs.
From AMSP, see Teaching and learning resources for 11-16 maths: Algebra. Scroll down to Graphs for resources 9 – 16.
For GCSE (age14-16) on Transum Mathematics, there is an extensive library of self-checking exercises including Name that Graph which offers great practice in recognising functions.
Desmos is ideal for exploration; students can add sliders to explore the possible shapes of functions.
Nrich have several problems on Graph sketching, offering a variety of challenge levels.
This post, Transformations of Functions includes many excellent resources to help with understanding the effect of transformations and graphs.
For A Level students, on MadAsMaths, you will find great resources for lots of practice with graph sketching, all with answers provided. Hover on Maths Booklets from the top menu for a dropdown menu of questions available by topic. These are pdf files; increase the magnification to view the solutions.
Maths Booklets Basic Topics – Various includes:
And under Standard Topics – Various, we have
For A Level students on TL Maths, this very useful video shows students graphs they must know how to sketch.
For students taking STEP examinations, from the University of Cambridge Curve STEP Support Programme, see STEP 2 Curve Sketching.
