This resource develops the concept of manipulation and calculation with polynomials. Particular attention is paid to switching between algebraic and visual representations of polynomial expressions.  

Students focus on sequences generated from shading in parts of ‘dot’ diagrams. As an example, (n^2...

Carom Maths provides this resource for teachers and students of A Level mathematics.

A geodesic is the shortest distance between two points and here two problems involving cuboids and cylinders are investigated.

The resource is designed to explore aspects of the subject which may not normally be...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students demonstrates that the efficiency of a river can be measured using the hydraulic radius; this depends on the cross-sectional area of the river and the wetted perimeter of the...

This resources, from Siemens, looks at how an electric car works, the components of the system and the function of each component. Students research the charge and discharge cycles of a battery-powered device and consider the advantages and disadvantages of battery power. They look at what is meant by the capacity...

In this resource the head of a circular snowman rolls around its circular body to make one trip back to where it started. The ratio of the diameters of the circles is given. The challenge is to find how many times the head will revolve throughout the journey, and find a general rule.

The resource contains a...

Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation demonstrates how the interesting idea of Hikorski triples was developed from writing a GCSE Equations worksheet in 2002. The triples are identified as (p, q, pq+1/p+q).

The activity is designed to...

This resource focusses on the use of multiplication and division in the context of scaling an item to either double or half its size. Referencing the importance of scale to the field of engineering, especially in the design of large structures such as bridges and buildings, this resources cleverly demonstrates how...

This Core Maths resource is a precursor to the linked tasks of Due dates, Baby boom and Chicken and egg, on the Normal distribution....

This activity from the Nuffield Foundation introduces the use of moving averages and weighted moving averages to smooth out seasonal fluctuations in UK house prices, enabling the yearly trend to be identified. The data provided is adapted from The Halifax House Price Index spreadsheet and although the arithmetic...

The coordinates of two points on a line are given. The task is to find the shortest distance from the line of a third given point. The task involves finding the equation of...

A section of a regular polygon is shown with diagonals drawn from a hidden vertex. The angle between two diagonals their corresponding sides are given. The challenge is to work out how many...

This extension activity, from the Institution of Engineering and Technology (IET), follows on from the How Much Waste?...

This activity, from the Institution of Engineering and Technology (IET), challenges students to calculate the dimensions of an underground tunnel system. Students are encouraged to move beyond an ‘out of sight, out of mind’ approach to sewage as they use and develop...

This activity focuses on the link between water usage at home and the number of people living in their household, as well as comparing the water usage within the UK to that of other countries.

Students estimate how...