Can you correctly answer the questions about this graph?
There are two extra questions on the worksheet which are also below.
- Draw a suitable chart to display this data.
- Write two interesting facts that the graph shows.
Here is a useful quiz from amrdolan to test your knowledge of gradients.
This video shows you how to solve simultaneous equations using algebra.
This video shows how to solve simultaneous equations using a graph.
Now you try!
Study Maths (more examples and interactive worksheets)
This video is quite long so you might want to watch it in two sittings, but it does explain clearly what higher GCSE students need to know about transformation of graphs. Thank you Ukmathsteacher!
If you are studying GCSE you need to be able to draw and recognise graphs of simple functions, both straight lines and curves. If you are at college your computer might have software on it such as Omnigraph. If you are at home you can download free open source software that does the same job, called “Graph”. You can read more about Graph and download it here. When you have downloaded it experiment with different functions and see what happens to the graph. To enter x² you have to use x^2.
Here are some ideas of functions to try.
y=x, y=2x, y=3x, y=4x etc
y=x+1, y=x+2, y=x+3 etc
y=-x, y=-2x, y=-3x etc
y=x-1, y=x-2, y=x-3 etc
y=x^2, y=x^2+1, y=x^2+2 etc
y=x^2+x, y=x^2 +2x, y=x^2 +3x etc
y=x^3, y=x^3 +1, y=x^3 +2 etc
Useful Interactive White Board tool to introduce students to positive and negative coordinates.