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Programme Of Study For Key Stage 4 Mathematics

These are the Transum resources related to the statement: "Pupils should be taught to recognise, sketch and interpret graphs of linear functions, quadratic functions, simple cubic functions, the reciprocal function y = with x not equal to 0, {the exponential function y = k^{x} for positive values of k, and the trigonometric functions (with arguments in degrees) y = sin x, y = cos x and y = tan x for angles of any size}"

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Graph Match Match the equations with the images of the corresponding graphs. A drag-and-drop activity.
- Graph Patterns Find the equations which will produce the given patterns of graphs.
- Graph Plotter An online tool to draw, display and investigate graphs of many different kinds.
- Human Graphs Students should be encouraged to stand up and make the shapes of the graphs with their arms.
- Straight Line Graphs 10 straight line graph challenges for use with computer graph plotting software or a graphical display calculator.

Here are some exam-style questions on this statement:

- "
*The table shows some values (rounded to one decimal place) for the function \(y=\frac{2}{x^2}-x, x\neq 0\).*\(x\) -3 -2 -1 -0.5 0.5 1 2 3 4 \(y\) 3.2 2.5 8.5 7.5 1.0 -2.8 *(a) Complete the table of values.*" ... more - "
*(a) Find the coordinates of the point at which the curve \(y = k^x\) intersects the y-axis.*" ... more

Click on a topic below for suggested lesson starters, resources and activities from Transum.