Gradient of and Area under Graphs

This resource is for high achieving KS4 students. The resource consists of a lesson presentation and a worksheet. The lesson presentation includes a starter and worked solutions to the questions on the worksheet.

The new specifications suggest that students will increasingly be tested on finding the area under a real-life graph and the gradient of a real-life graph. The types of graph could be horizontal, a straight line with a gradient positive or negative, a series of straight lines or a curve. Each of these possibilities is considered. The lesson starts by looking at the relationship between distance-time, velocity-time and acceleration-time graphs. However, there are examples and many questions whose context is in the fields of biology, chemistry and physics: osmosis, electrolysis, diodes etc. .