This resource from the IET Faraday programme, supported by MEI and Tomorrow's Engineers, invites students to model the journey of a toy boat crossing a river which has a current of 3m/s.

"Two friends are on opposite banks of a river which is 30m wide. One of them has a model boat...

This resource from the Nuffield Foundation provides the opportunity for students to fit functions to linear and quadratic graphs. It is assumed that students will already have some knowledge of linear and quadratic functions and their graphs, which are used to compare models and comment on their suitability. A...

This resource requires problem solving using skills in both applying geometrical concepts and modelling a situation using functions.

Students investigate rolling cups of different shapes and dimensions. They use ideas of similarity to link together the wider diameter with narrow diameter, slant length, and...

A series of eight simultaneous equations are given and the initial challenge is to discover the single point of intersection of the lines. On each of the examples given the intersection takes as...

This investigation looks at two mirrors fixed at a point. A ray of light enters the set-up, bounces around and then exits along the same path. The task is to find the angle between the mirrors....

This resource from the Nuffield Foundation provides weather data that students use to consider which month would be the best to hold an outdoor gig. The activity gives students practice in using either a calculator or a spreadsheet to calculate mean and range values....

There are a series of quadrilaterals on is presented on plain paper. The initial task is to form the shape derived by joining the midpoints of each side. The resulting quadrilateral is in each...

There are a series of quadrilaterals presented on a grid. The initial task is to form the shape derived by joining the midpoints of each side. The resulting quadrilateral is in each case a...

In this resource the mass of a group of objects is given, with the mean matching the number of objects. The mass of a subset of the objects is given, again with the mean mass matching the number of objects. The challenge is to calculate the mean mass of the remaining objects.

Solving the problem requires the...

Act 1

A small circle is shown being filled with penny coins...

The Nuffield Foundation provides this resource which reviews the perimeter and area of rectangles and shapes made from rectangles. The activity can be introduced by viewing the slideshow and a student information sheet, which contains the main points is also provided. The activity cards allow students to...

A square-based dotted grid is given. An initial investigation involved drawing triangles on the grid and determining the area, number of dots on the perimeter, and number of dots enclosed by...

This activity helps learners become aware of the importance of maths in their vocational area and use mathematical language to describe aspects of a job role. Learners may need support to use appropriate mathematical vocabulary and may require a list or glossary of mathematical terms relevant to their vocational...

The number of fish in a tank is given, together with the percentage of the fish that are small. The challenge is to work out the number of the small fish to remove to achieve a lower given...