Plotting straight line graphs (implicit equations)

Students are provided with structure to facilitate plotting straight line graphs of implicit equations.

The worksheet is split into two sections, progressing in difficulty, and each has an extension section. For very able students a further extension could be to find the points of intersection without having to plot the lines, although it is generally beneficial for their understanding to have a visual representation available as well. Answers are provided, including the plotted straight lines.

The focus of this lesson could be any of the following:
– Plotting straight line graphs;
– Rearranging equations;
– Simultaneous equations;
– Intersection of straight lines;
– What it means to ‘satisfy’ an equation;
– Implicit vs explicit equations.

Many concepts are touched upon here and you will need to decide which angle you are approaching this activity from to ensure that the lesson is coherent.

Also included is a basic starter to give practise rearranging to change the subject of an equation.