In this resource students are given the coordinates for each vertex of a triangle, with two of the vertices being horizontal. The challenge is to determine the ratio of the tangents of two of the angles.

Each student worksheet has a different triangle, but the solutions all have something in common.

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This series of short tasks is designed to assess how well students understand proportional reasoning in practical contexts. The contexts featured include:

• Relating a photograph to its negative
• Water used by a washing machine
• Coffee powder and cups of coffee made
• Stamp...

This resource focusses on developing the understanding of ratio, fractions and scaling, by scaling up ingredients in a recipe. It could also be linked to learning in food technology, to demonstrate a practical application of maths. In this activity learners will scale up a cookie recipe that makes six cookies to a...

Tunnelworks is a series of teaching and learning resources linking mathematics and science to the Thames Tideway Tunnel project, a major new sewer that will help protect the River Thames from increasing pollution. Background to the project is given in the ...

This activity examines the meanings of the terms reduce, reuse and recycle. Students consider the efficacy of recycling and reusing and whether they produce the desired results of reducing waste and energy requirements and minimising primary resource use. They then compare the impacts of recycling aluminium to...

This scheme of work, produced by the Institution of Engineering and Technology (IET), allows students to investigate environmental issues in the context of the design and operation of a new school. Students are introduced to the concept of recycling and then apply their...

This magic trick from the Computer Science for Fun (CS4FN) team at QMUL is based on a ‘self-working trick’. It includes a set of instructions which, so long as the commands are followed, works every time. It is, therefore, an algorithm.

The trick involves playing cards – the actual value of the cards is not...

Produced by The Centre for Industry Education Collaboration (CIEC), these resources help to put curriculum science in a real life context. The activities provide opportunities for children to consider the use of plant material (biomass) for renewable energy. They go on to look at some of the problems that using...

This lesson develops the concept of combining transformations. In particular students will:

• Recognise and visualise transformations of 2D shapes
• Translate, reflect and rotate shapes, and combine these transformations
• Discuss some common misconceptions about transformations
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This is a concept development lesson that is designed to assess how well students understand:

• Conditional probability
• Representing events as a subset of a sample space using tables and tree diagrams

A game has been devised where three white balls and three black balls are placed...

This is a concept development lesson that is designed to assess how well students understand:

• When conditional probabilities are equal for particular situations
• Representing events as a subset of a sample space using tables and tree diagrams
• Modelling using algebra

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This is a concept development lesson on interpreting data using frequency graph and box plots.

Eight frequency graphs are presented that show scores in tests. The frequency graphs must be matched with box plots.

There are pre-lesson and post-lesson formative assessment tasks. Detailed teacher notes...

This is a concept development lesson, designed to enhance how well students:

• Are able to use frequency graphs to identify a range of measures and make sense of data in a real-world context
• Understand that a large number of data points allows a frequency graph to be approximated by a continuous...

This is a problem solving lesson where students develop their understanding of how to interpret frequency graphs that use grouped data, together with their associated box plots. Particular attention is paid to minimum and maximum values, medians and quartiles.

The lesson begins with students interpreting...