This activity from the Nuffield Foundation shows students how to use Kruskal’s and Prim’s algorithms to solve minimum connector problems. A cable TV company wants to lay cables to connect the towns, laying the cable along the roads shown on a map of the Isle of Wight. They want to connect all of these towns to...

This practical activity from the Royal Institution provides students with an understanding of the different ways in which proportion can be expressed. Through a mixture of explanation and practical work, students explore how it is possible to give an accurate quantitative description of colours. Students mix...

This lesson develops the concept of finding areas of sectors. In particular students will:

• Find perimeters, areas, and arc lengths of sectors using formulas
• Find the relationships between arc lengths, and areas of sectors after scaling
• Using radians

The initial challenge...

This lesson develops the concept of calculating the volume of compound objects. In particular, students enhance their understanding of:

• Computing measurements using formulas.
• Decomposing compound shapes into simpler ones.
• Using right triangles and their properties to solve real-world...

Straightforward logic is used in this resource, from the Centre for Innovation in Mathematics Teaching, to establish the calculation, necessary to move correctly along a number line, when the starting point is at a negative value. Phrases such as owing and debt are used to help students deal with...

This assessment task from Bowland requires students to design a hexagonal based box with dimensions sufficient to hold a candle. The key processes involved are representing a 3-D shape in two dimensions, analysing the net to ensure accuracy and completeness, communicating and reflecting. Students are given a number...

In this activity children are challenged to solve a range of problems relating to capacity in a meaningful context. Children choose a card from a series of cards with capacities indicated on them. They then work in pairs or small groups to discuss how they can create the quantity by using three containers of...

Many different personal attributes can impact on road safety including a person's vision, ability to concentrate, reaction times and mobility. The car of the future should be designed to help people overcome these issues.

Mathematical modelling is the focus of this resource, from the Centre for Innovation in Mathematics Teaching. Students explore the mathematics behind carbon emission measurement and the concept of carbon footprints. Basic calculations for the travel component of a carbon footprint are demonstrated here, but many...

This assessment task from Bowland requires students to analyse a claim made in an advert encouraging cat owners to have their cat neutered. The claim is made that an unneutered cat can have 2000 descendants in 18 months. Students are given a number of basic facts upon which to base their analysis. Students are...

In this Core Maths research task students area asked to apply their understanding of the surface area and volume of cuboids to cells. The activity starts with an NRICH problem which explores what happens to surface area and volume of cuboids as linear dimensions change.  Students are then to investigate the surface...

This Nuffield exploration encourages students to set and test their own hypotheses following the experience of collecting primary data from a local graveyard or cemetery.

The key processes in this exploration are :...

This resource contains a set of achievement certificates for you to print out and award to children. Certificates are for many different subject areas including: science,...

In this Core Maths activity students are invited to play a game using non-transitive dice, and explore the probability behind them.

Champion of the world: Teacher guide
This teacher guidance gives an overview of the task including prior student knowledge, suggested approaches and...

The application of probability, together with combinatorics, is the focus of this A level resource, from the Centre for Innovation in Mathematical Teaching. The 2008 draw for the Champions League provides data for students to investigate the probabilities of English teams being drawn against each other and to...