This lesson develops the concept of producing and evaluating geometrical proofs. In particular students work on:

• Interpreting diagrams
• Identifying mathematical knowledge relevant to an argument
• Linking visual and algebraic representations
• Producing and evaluating mathematical...

This series of three lessons introduces Python programming to students in secondary school. The lesson objectives include:

• Creating simple code including the input and print scripts
• Using "If statements" to make a decision
• Using the random function in programs

Detailed...

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 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...

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
...

This lesson develops the concept of using diagrammatic representations of calculations. Attention is paid to order of operations, along with the distributive and commutative properties.

An introductory activity considers areas of rectangles in relation to calculations, what is often termed ‘the grid method...

This problem solving resource is intended to help students with recognizing and using proportional relationships, including through the use of graphs

Students are given information about a road race. They are presented with a map and information about the speeds of two runners. The race consists of four laps...

In this activity students design and model a robot arm in 2D, need to be able to name the main parts of a robot arm and to be able to design and make a 2D card model of a 3D product. Robot arms are an example of a programmable system. They are used in a wide variety of industrial applications, ranging from loading...

These materials use the land speed record attempt as a context for teaching about the irreversible changes and energy transfers that occur in BLOODHOUND SSC’s rocket engine.

The BLOODHOUND SuperSonic Car (SSC) World...

The information sheet, from the Royal Academy of Engineering, covers what materials are required and encourages students to think about how a material alters as it is processed and how it can be used. Students are encouraged to think about engineering applications for a material and also the marketing of a product...

This information bulletin, from the Royal Academy of Engineering, is aimed at teachers to help them encourage students into engineering careers. The bulletin provides three case studies about young engineers and also provides a selection of activities to engage students in thinking about engineering concepts and to...