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A circle is drawn that is tangent to the three sides of the triangle. The two constituent lengths of the hypotenuse are given and the challenge is to calculate the area of the triangle. When...

This short task contains two questions on applying trigonometry.

The topics covered are:

  • Linking sine, cosine and tangent
  • Using Pythagoras to determine a length in a triangle and then give the tangent of an angle in surd form
  • Using the Pythagorean identity sin2(x) + cos2(x) = 1...

Carom Maths provides this resource for teachers and students of A Level mathematics.

This presentation shows how, when placing triominoes onto a chessboard, there is always one empty square. An algebraic proof is developed to show that the empty square will always appear in the same location, or in one of...

In this primary resource, children work scientifically to investigate the effects of various conditions on plant growth. The activities are set in a real-life context, that of a sports company who wish to provide a turf surface suitable for a range of activities. Information is required on suitable grass types and...

This resource produced by ARKive supports the teaching of life-cycles at key stage two. It looks at mammals, amphibians, reptiles and plants and finds similarities between the life cycles of animals and plants within each group, as well as some of the similarities and differences between these groups. There is a...

This resource contains a diagram made from a circle, four semi-circular arcs and a rectangle with dimensions given in surd form. The challenge is to find the total area of a given shaded area.

The student worksheets each contain different dimensions for the diagram, but the solutions all have something in...

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This activity, from 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 required to apply their mathematical understanding of formulae and...

Inspired by the Born to Engineer video from Kim Cave-Ayland, an engineer whose work is helping to create a safe, low polluting power source that could change our energy future, this resource supports students to work with data on UK energy consumption, exploring how energy generation is managed and what type of...

This resource looks at the key features, advantages and disadvantages of tidal power as an energy source. Students identify the features of a landscape which will maximise the effectiveness of tidal power, considering the ideal shape of the location, whether the machinery will interfere with other activities,...

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This ASE SYCD: Science Year Primary resource presents case studies from two Scottish schools, one small and one large, showing how a variety of technologies has been used with children at all stages of primary schooling.

Simple guidance on how to support your pupils in using the computer to research a topic...

This activity examines the use of percentages in research and the media. The examples used focus on the distinction between absolute and relative percentages and percentage changes. The need for improved education in the area of communication of risk is at the heart of...

This resource develops the concept of working with coordinates to interpret horizontal or vertical intervals on graphs.

Students are presented with two graphs. The first shows the number of sodas in a vending machine against time for Monday, the second shows the same information for Tuesday. Students are...

This is a problem solving lesson where students develop their understanding of the following areas:

Choosing a systematic way to collect and organise data including;

  • constructing tables
  • two-way tables
  • frequency charts

and interpreting findings clearly and...

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