Linear into quadratic sequences modelling

Smart notebook lesson for linear sequences that moves on into quadratic (not taught any more at ks3) with an extension task at the end involving graph sketching to solve a linear and quadratic. All is done based on flow into a beaker, someone could really go to town on this and try it in real life. Get students to sketch the graphs first for each and then model them to a linear and quadratic and allow them to investigate finding the nth term for both. Very much group work investigation.