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Listed under:  Mathematics  >  Geometry  >  Dimensions  >  Area
Teacher resource

Turn up the volume - unit of work

In this unit of work students explore and explain the connections between the surface area and volume of different shapes and how each attribute is measured.

Teacher resource

TIMES Module 11: Measurement and Geometry: area, volume and surface area - teacher guide

This is a 15-page guide for teachers containing explanations of the derivation of formulas for the areas of parallelograms, trapeziums, rhombuses and kites. Formulas for the volumes and surface areas of prisms and cylinders are obtained. Applications of these formulas are given. A history of the development of these concepts ...


Giant hole: climb through a hole in a sheet of paper

This teaching resource outlines an activity for students to explore the relationship between the area and perimeter of a shape, by using a series of cuts in a piece of paper to create a hole large enough to step through. The resource includes detailed instructions for creating the cuts in the paper, an explanation of how ...

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Measuring our coastline

How long is the Australian coastline? See Dr Derek Muller and Simon Pampena discussing the perimeter of the Australian coastline. Find out how the accuracy of that measurement depends on the length of the 'measuring stick' used. They discuss how a coastline is much like a fractal such as 'Koch's Snowflake'!

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Mapping farmland: using area and trigonometry

In northern Queensland's Gulf region, some farmers use GPS mapping to help manage their extensive properties. Use this clip as a context for applying your understanding of area, in particular your understanding of conversion between square kilometres and hectares. Apply trigonometry and Pythagoras' theorem.

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Drawing a floor plan

How do we know what a house will look like before it is built? Discover how house plans work by looking at the design of a house that Hugo's family is going to build. See how a floor plan shows the room layout. See drawings of what the house will look like from different views.

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Calculating area: locust plagues

How many locusts in a plague? Find out just how big the threat of locusts can be and how farmers try to prevent the plagues from getting out of control. This clip provides context for a combination of area, area units and rate problems.

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First quadratic equation

Before algebra, the Babylonians worked out areas of land using a type of quadratic equation. Join Marcus du Sautoy as he shows how Babylonian mathematicians would have worked out the unknown length of a field by reconfiguring the field as a square. See how this is an early form of a quadratic equation.

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A stone's throw from the true value of pi

Ancient Egyptian mathematicians worked out the value for pi. Find out just how close their approximate value came to the true value. See how the relationship between the area of a circle and the area of a square can be explained using rounded stones, and how this can also be used to work out an approximate value for pi.

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Area of composite shapes

Finding the area of a rectangle is quite easy. But what if the shape you're working with is not a simple rectangle? What if it's a composite shape made up of two different-sized rectangles? See how to work out the area, and discover why you need to use the same units.

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Area of a circle

Problem: you need to work out the area of a circle that is going to be paved. See how to calculate it by using a formula that includes the radius and pi.

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Carpet your area

See how to calculate the area of a rectangle. Use the method of calculating area to work out how much carpet is needed for two rooms of a house. Find out how to convert the units of length to end up with an area measured in metres squared.

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Surface area of a sphere

What's the formula for finding out the surface area of a sphere? See how to apply the formula in a couple of examples. Watch how to give the answer in decimals or in terms of pi. How do you find the surface area of half a sphere? Check out the example.

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Circular-based pyramids?

Did you know that a cone is a circular-based pyramid? Find out how to work out the surface area of a cone and of a typical square-based pyramid. See how slant height is used in working out the total surface area of a cone.

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Total surface area of a cylinder

The total surface area of a cylinder is the sum area of the two circular ends and the curved surface area. There's a trick to working out the curved surface area of a cylinder. See how it helps you work out the total surface area of a cylinder. Watch what to do when there is only quarter of a cylinder.

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Total surface area of a prism

The total surface area of a prism is the sum area of each of its faces. Here are two examples to work through: one a rectangular prism, the other a triangular prism. See how to find out their total surface area.

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The 'trig' to finding the area of a triangle!

If you know the base and height measurements of a triangle, finding the area is pretty easy. What about when you know the length of two sides and the angle between them? See how trigonometry can help.

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Working out the areas

Do you know how to work out the area of a square, a rectangle or a triangle? Learn the simple maths formulas needed from this video. What would be the area of a rectangle with a height of 5cm and a length of 3cm?

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Area of a square and a triangle

Do you know the formula for working out the area of a square? How about a triangle? Watch this short maths video to learn the formulas for both.

Teacher resource

Secondary mathematics: using real data

These seven learning activities, which focus on the use of 'real data' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use the three content strands ...