# Algebra and Graphs

This collection of resources is produced by the Core Maths Support Programme to support the implementation of Core Maths. The collection contains a range of activities all designed to enable students to use and apply algebra and graphs in unfamiliar contexts.

## Resources

### Annual percentage rate (APR)

In this Core Maths activity students explore APR, the interest charged when we borrow money, and how to calculate it for both a whole number and a fractional number of years. The resource also explores reasons why people want to borrow money.

A link is included to the Nuffield Foundation personal finance...

### Body mass index (BMI)

This Core Maths task involves substituting values into the BMI formula in order to make health decisions.

An introductory worksheet gives the height and mass of four people so that their BMI can be calculated and appropriate advice given. A further worksheet and excel file shows ...

### Body surface area

This resource introduces the formulae for the surface areas of cylinders, cones and spheres. Students are asked to use these to model parts of the body and calculate an estimate of their own body's surface area. Two formulae used in medicine for...

### Box problem

In this Core Maths task students investigate how to make a box of maximum volume from a given square of card. The ultimate objective is to model a method to work out a box of maximum volume for any size of rectangle.

The activity sheet outlines the task for students.

The first set of teachers' notes...