This lesson develops the concept of ‘Greatest Common Factor’ (GCF) and ‘Least Common Multiple’ (LCM). The central theme is to separate out the two concepts.

There is an introductory ‘guess my numbers’ activity. The GCF and LCM of a pair of numbers is given and students must work out what the numbers are,...

This task is designed to assess how well students understand:

• Angles in quadrilaterals
• Rotation
• Geometric reasoning and proof

The task examines a floor pattern. The first example shows two overlapping squares, both with the same centre, but with one rotated through 45...

This interactive online game from Siemens sets students a series of challenges to design a roller coaster which needs to reach the end of the ride and at a safe speed. Students use problem solving and mathematical reasoning skills to change some of the track features and see how this affects the speed of the...

This 2016 report analyses the data from a pan-European project ...

This SMILE resource contains three packs of games, investigations, worksheets and practical activities supporting the teaching and learning of fractions, from exploring halves and quarters to investigating fractions whose decimal equivalents are recurring decimals.

Fractions pack one ...

This resource requires problem solving using skills to tackle a real-world problem that involves rates of change. In particular, it requires students to create, compare, and evaluate different representations of functions.

Students are given the average fuel consumption for three cars. Two people switch cars...

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...

This SMILE resource contains two packs of games, investigations, worksheets and practical activities supporting the teaching and learning of graphs, from simple mappings to identifying quadratic graphs.

Graphs pack one contains fifteen work cards with a wide variety of activities covering...

This Durham Maths Mystery is designed to extend high achieving GCSE students and for use with students studying mathematics post-16.

Task 1A: students are presented with a blank three by three grid and twenty fact cards. Students have to use the clues on the fact cards to help them sketch...

There are nine units in this book from Nuffield National Curriculum Mathematics. Each unit provides information for the student to read and questions and activities for them to do. The units, which are in short sections, have detailed content descriptions at the top of...

The nine handling data units, all at level five, in this Nuffield National Curriculum Mathematics book are:

• The mean and the range
• Collecting data
• Probability
• Picture this
• That’s just typical
• Comparing distributions
• Using databases
• ...

This level seven book, from the Nuffield National Curriculum Mathematics series, was suitable for students following an intermediate GCSE course. It has nine units of work on handling data, each with information, questions and activities. The units, which are in short sections, have detailed content descriptions at...

If you travel from the UK to France via the channel tunnel, your carriage is riding on rails made of a particular kind of steel that Harry Bhadeshia invented. He has also developed the world's strongest armour, called 'super bainite', in part through the discovery of a steel that seemed to sing.

He has done...

This task is designed to assess how well students understand similar triangles, using Pythagoras’ theorem, and using trigonometry to find angles.

The Hopewell people were Native Americans whose constructed earthworks using right triangles. The task shows eight right triangles.

The first tasks are to...