This booklet contains a number of case studies of lessons that emphasise working with what students already know and working from concrete ideas to the abstract. Each case study explains the task, contains examples of students’ work and explains how the lesson was followed up. [b]The function game[/b] is one way in...

In this resource from the DfE Standards Unit, students reflect on the reasoning they currently use when solving proportion problems, examine proportion problems and appreciate their
multiplicative structure and create their own variants of proportion problems. Proportional reasoning is notoriously difficult...

This booklet, developed for mathematics departments by the National Strategies, is based on materials developed by six working groups as part of QCA’s algebra and geometry project.

The project focused on the place of algebra and geometry in developing concepts and skills in reasoning. The booklet brings out...

In this resource from the DfE Standards Unit, students will learn to: use past examination papers creatively, explore, identify, and use pattern and symmetry in algebraic
contexts, investigate whether a particular case can be generalised further, understand the importance of counter-examples, develop the...

In this resource from the DfE Standards Unit students learn to use past examination questions creatively by selecting and using appropriate techniques and strategies to solve
problems involving numerical, graphical and algebraic manipulation. Most students will have solved problems such as these...

In this resource from the DfE Standards Unit, students use past examination papers creatively, analyse the demands made by examination questions, understand and use estimates or measures of probability from theoretical models, list all outcomes for two successive events in a systematic way and identify mutually...

In this resource from the DfE Standards Unit, students learn to use past examination papers creatively, recognise and visualise transformations of 2D shapes, transform triangles and other 2D shapes by translation, rotation and reflection and combinations of these. They develop their ability to generalise and...

This Core Maths activity investigates diamond smuggling.

The presentation gives details of how diamonds were smuggled out of Namibia in cans of pilchards. Students need to use the information given to calculate an estimate of the value of the smuggled diamonds. They need to use estimation and the formula for...

This activity requires students to generate patterns created by the subtraction of integers. Students are asked to record their findings and to explore whether they are able to work backwards.

The resource includes a hand out and a blank grid which can be duplicated for student use. The teachers' notes...

These resources, written in 2011 and provided by the Joint Mathematical Council (JMC), discuss the role that digital technologies might and should have in mathematics education. Consideration is given to the types of experiences students encounter and how best to develop the curriculum to engage students in using...

This interactive excel file has separate sheets which deal with direct proportion where the functions are linear, quadratic, cubic and square root.

Each sheet begins with a statement of the proportional relationship,...

This Study Plus unit from the National Strategies asks students to plan the relief aid for a fictitious tsunami along the South American Pacific coast. The project is centred on Concepción, Chile’s second largest urban conurbation. This was the scene of an actual tsunami in 1960, after an earthquake off the Chilean...

In this resource from the DfE Standards Unit, students learn to express a part or whole diagram in fractions or percentages, convert a fraction to a percentage (using a calculator), calculate areas of rectangles, triangles, circles and parts of circles and add, subtract and multiply fractions. This session builds...

This resource from Inquiry Maths explores the interpretation of distance-time graphs.

Distance-time graph...

This resource, from the Centre for Innovation in Mathematics Teaching, uses diagrams to illustrate division by a fraction and, to clarify the common misconception identified with this task, prompts students to rethink the statement, divide three by one quarter, as the number of quarters that fit into three....