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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...

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 activity, from the Institution of Engineering and Technology (IET), introduces students to the science behind communication technology, giving them an understanding of some of the vocabulary and concepts used. The handout includes a series of illustrations and...

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

Lesson notes 1...

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)...

3-D

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 resource consists of 19 instant maths ideas, ideal for use as starter questions, extension question or probing questions to assess understanding, requiring students to: * name different solids * explore the cross sections of different solids leading to a definition of a prism * investigate polyhedral * draw...

In this resource students are asked to find the value of several calculations that involve addition, subtraction and the squaring of fractions. Students are asked to spot patterns and similarities within the questions in order to generalise. The investigation concludes bu using algebra to prove their conjectures....

This seemingly simple prompt leads to a rich task that can be developed in a number of different ways.

Lesson notes...

These resources consist of a presentation and activity sheets to support design and technology students aged 14-16. It helps students to gain knowledge and understanding of sustainable development and the use of precious resources. The 6 R's are:

  • Rethink: what could be done differently?
  • Refuse...

A Bridge too Many, from the Centre for Science Education, is a set of teaching materials which offer a cross-curricular approach to learning about engineering. The context for the activities is a challenge based on a large model bridge that has been pre-constructed using prefabricated components, with weak pins...

This resource from CensusAtSchool produces descriptions of modal pupils using the data taken both from the original CensusAtSchol data and Phase Two of the project. The task encourages students to discuss and think about the merits of using averages.

The mathematical topics of mean, median and mode are used...

Produced by The Centre for Industry Education Collaboration (CIEC), these materials help students to gain an understanding of a number of scientific ideas through investigating how a refrigerator works. The key ideas covered include:
* liquids require heat to evaporate
* some gases can be liquefied at...

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