Mathematical modelling is the process of using mathematics to make predictions about the real-world, to understand situations and to assist in making decisions. It is the bridge between the real world and mathematics. This reSolve special topic demonstrates the processes of mathematical modelling, so that students can better use the mathematics they learn to solve problems that arise at home or at work.

There are five units, especially suitable for Years 9 and 10. After the introduction (Unit 1), the other units can be done in any order. Two or three units might be used per year.

The problems to be investigated include situations such as predicting theme park queueing times, making decisions about how to price goods to ensure a profit, designing packaging that meets multiple criteria, understanding road safety issues of long vehicles turning, and appreciating risk. The lessons include material to assist teachers who are new to the teaching of modelling.

Many of the curriculum links included are from Year 8 or below, because students generally need to be familiar with mathematical topics to be able to use them confidently for modelling.