This study unit offers some practical strategies that teachers use to engage pupils through questioning. The techniques suggested are tried and tested; they draw on both academic research and the experience of practising teachers.

By working through this guide you can build your teaching repertoire step by...

This study unit offers some practical strategies that teachers use to structure their own explanations and to help pupils provide clear explanations themselves. The techniques suggested are tried and tested; they draw on both academic research and the experience of practising teachers.

By working through...

This study unit offers some practical strategies that teachers use to guide pupils’ learning. The techniques suggested are tried and tested; they draw on both academic research and the experience of practising teachers.

By working through this guide, you can build your teaching repertoire step by step,...

Simulation of penalty shoot-outs is the focus of this resource, from the Centre for Innovation in Mathematical Teaching. Students use random numbers to decide the probability of a team scoring a goal, as well as investigating the average number of kicks and the most likely result. The tasks are designed to prompt...

Act 1

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

This resource begins by exploring the different number of ways of making dominoes, trominoes, tetrominoes and pentominoes; shapes made from five squares. The resource contains 43 problems varying in difficulty exploring the properties and symmetries of pentominoes.

Students are required to make pentominoes...

The match card resource consists of six cards which require the students to increase an amount by a percentage, six cards which contain a multiplier and six cards each containing a value. Students are require to match the question with the multiplier and the solution.

The percentage increase worksheet...

This resource contains eleven instant maths ideas covering a whole range of suggestions that may be used as starter questions, extension questions or probing questions to assess understanding. Topics include: comparing fractions by converting to percentages, exploring the difference between increasing by 200% and...

This excel file begins with finding percentages of amounts without using a calculator. There are various options to allow for different degrees of difficulty of the questions posed. Answers can be revealed and new sets of questions generated.

This SMILE resource contains two packs of games, investigations, worksheets and practical activities supporting the teaching and learning of percentages, from the pictorial representation of the definition of a percentage to finding percentage increase.

Designed to improve confidence in mathematics, these resources from the Centre for Innovation in Mathematics Teaching, focus on percentages and were developed particularly for primary teachers and those non-specialists who teach mathematics in the lower secondary years. Each section offers an overview of a...

This sub-collection of materials from the dy/dan collection contains three resources that bring mathematical storytelling to the classroom in the context of ‘percentages and fractions’. Resources comprise:

• Act One: a video or photograph to provide a ‘hook’ to the problem

• Act Two:...

In this resource from the DfE Standards Unit, students analyse simple number 'tricks', and explain how they work, using algebra. They then try to create their own variants of the trick, making it more impressive. Students will: develop an understanding of linear expressions and equations; make simple conjectures...

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...