The task shows a circle or radius r that just touches the sides of a right triangle whose sides are 3 units, 4 units, and 5 units long. A square is constructed from the right angle with length r so that one of its vertices is at the centre of the circle. Further lines are constructed from the centre of the circle...

Act 1

A video is shown of two bagels being toasted. A piece...

A colourful display poster showing ten reasons to to inspire young learners to consider the exciting and meaningful careers available in science, technology, engineering and maths. 

This poster shows 100 exciting job roles that link to science, technology, engineering and maths.

Be inspired by the array of jobs you could consider in the future if you keep your options open with maths and science:

• Space structures engineer
• Stadium designer
• Flood modeller...

This assessment task from Bowland asks students to use mathematical reasoning to estimate the number of descendants a girl who lived 110 years ago might have today. The key processes involved are representing, analysing, communicating and reflecting. Students are given a number of basic facts upon which to base...

This resource from the Department for Education provides some useful tips on how to organise a successful STEM careers day: from contacting your local STEM broker and organising exciting activities to involving sixth formers and STEM local employers.

The Senior Mathematical Challenge (SMC), from the United Kingdom Mathematics Trust (UKMT), is a multiple choice contest in which students are presented with five alternative answers, of which just one is correct. It follows that often students can find the correct...

This seemingly simple prompt leads to a rich task which students can explore in a variety of ways.

Lesson notes 1...

Properties of 2D shapes requires students to describe the properties of a square, a circle, rectangle, equilateral triangle and a hexagon and contains sample answers.

This resource consists of two interactive excel programs. The first allows students to explore 2D representations of solids. The second provides problems relating to angles and lengths within solids which need to be solved using trigonometry.

Drawing 3D in 2D This excel file deals with 2D...

Produced by the Learning and Skills Improvement Service (LSIS), these resources are aimed at mathematics practitioners.

Sessions in this resource look at:

• 2D and 3D shapes (developing mathematical language)
• 2D shapes - naming and classification (using co-operative small group work)...

This SMILE resource contains three packs of games, investigations, worksheets and practical activities supporting the teaching and learning of 3-D shapes, from folding nets to make cubes to making a dodecahedron.

3-D pack one contains seven work cards with a wide variety of activities...

This video resource from Teachers TV shows how the Woolwich Polytechnic School for boys, in south London, improves their students' 3D awareness by visiting local buildings, making paper shapes and exploring the algebra of origami. On a visit to London, Year Nine students discuss the shape and structure of City Hall...

3D Objects requires students to name objects and count the number of edges, faces and corners of each object. The objects included are a cube, a cuboid, a pyramid, a cylinder, a cone and a sphere. The second page contains sample answers.

3D objects - practical problems asks students to determine whether different shaped parcels will fit through a letter box. The dimensions of the rectangular shaped letter box is given as are the dimensions of the parcels. In the second task, students are to determine whether different sized cuboids will fit through...