This resource requires problem solving using skills in forming and factorising expressions.

Students begin by working out numerical examples where a number can be written as the difference of two square numbers. They need to choose systematic ways to collect and organise data, and examine it for patterns....

There a series of short tasks designed to assess how well students understand a range of geometric concepts, including Pythagoras’ theorem.

• Other topics covered comprise:
• Circumference of a circle
• Area of a rectangle
• Angle measure
• Angles at a point

This...

This task is designed to assess how well students understand calculating in scientific notation.

The task is set in the context of a newspaper headline that claims: ‘Everyday 7% of Americans eat at a Giantburger restaurant.’

The following information is presented:

• There are about 8 x 10^3...

This task is designed to assess how well students understand finding the volume of a sphere, cylinder and cone.

The task involves finding the volume of liquid that three different glasses can hold. There is also work in finding the height of a cone given its slant height and base radius.

This task is...

The Midland Mathematical Experiment, in which a number of schools collaborated with the aim of developing a new approach to teaching mathematics in the Grammar School, developed a series of books to cover their ‘A’-level syllabus. Groups, Rings and Fields is split into sections, each section containing explanations...

The Guide to the guides provided an opportunity to take a brief look backward at the work of the writing team and the trial areas of the Nuffield Mathematics Project (age range 5 to 13), and also forward to possibilities for the future. This guide is in two sections, each with its own introduction. Section...

A wealth of mathematical activities arranged by topic. Some of the activities are suitable for use with older primary school-aged students whilst the majority are aimed at the secondary classroom.

Contents:

• Involving fractions: Egyptian fractions, fraction pairs...

This activity challenges students to design, and agree on an optimal route for, a village bypass, subject to the Highways Agency constraints for road design. Students use the provided software or physical resources and measure lengths of lines and curves, fine tune cost-benefit trade-offs, interpret data, convert...

This task is designed to assess how well students understand calculating the circumference of a circle, working with imperial units.

The task features a ‘Penny Farthing’ bicycle with a big wheel of diameter 52 inches and a small wheel of diameter 18 inches.

Tasks comprise:

• Calculating the...

This task is designed to assess how well students understand using approximations for temperature conversions, and assessing their accuracy.

The following methods are given for converting from degrees Celsius to degrees Fahrenheit:

Method 1: multiply the Celsius...

Have you ever wondered how to create movie magic, such as hideous monsters or incredible costumes? The secret to creating an amazing movie is just a few STEM Club lessons away. This programme investigates how you can use design and technology to master movie tricks, from creating your own prosthetic mask to...

This resource consists of four short tasks.

Students begin by writing expressions about the individual ages of three people using information from the task. Additional information is then given about the total age of the three people and the task is to find out how old each person is. A final task involves...

This resource develops the concept of interpreting algebraic expressions, translating between words, symbols, tables and area representations.

Students work on tasks that require them to recognise the order of algebraic operations, recognise equivalent expressions, and understand distributive laws of...

This resource develops the concept of interpreting distance-time graphs.

Students work on a matching exercise that requires cards to be collected in sets of three; a distance-time graph, a statement, and a table of values. One of the ways this is done is by having cards that are ‘distractors’. For example,...