This activity requires students to gather data to construct a scatter graph. After students have constructed the scatter graph they then have to find the equation of the line of best fit and use that to make a prediction of how many bands are needed for the bungee jump. Calculations will be off which lead to the discussion of interpolation and extrapolation and why maths in the real world does not always match up with theoretical predictions. The PowerPoint comes with a worksheet that students will use to fill in. I have also attached an egg version. The activity will take at least 2 days. One day to gather their information and the second to test their predictions.

The lesson looks at the differences between a linear and quadratic sequences graphically and focusing on finite differences, thus leading to the nth term. The lesson identifies two methods for finding the nth term of a quadratic sequence with multiple questions in different contexts. Questions also have students transferring skills from other topics such as area, solving equations, simultaneous equations, etc. This lesson can also be used with AQA Further Maths students as the PowerPoint ens with limiting value of a sequence.