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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 ...

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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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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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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 ...

Interactive resource

EagleCat: scale it

Explore changes in area when a shape is acted on by a scale factor. Examine changes in volume when an object is acted on by a scale factor. Analyse the changes using whole numbers.

Interactive resource

HOTmaths: exploring areas of rectangles and squares

Do rectangles with larger areas also have longer perimeters? Explore the relationship between the area and perimeter as the length and width are altered. Follow an investigation path using the HOTsheet.

Interactive resource

The array: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving simple multiplications in your head such as 6x4. Work through sample questions and instructions explaining how to break up numbers into their factors. Solve multiplications by using arrays to break them up into rows and columns, then ...

Interactive resource

The Metrix: decimals: area 1

Measure the required size of a solar panel to replace a damaged one on the Metrix spacecraft. Use the metric measurement tables for mass, length and capacity to help you make unit conversions involving decimal numbers. This learning object is one in a series of 26 objects.

Interactive resource

HOTmaths: exploring kites

Use a tool to explore and identify the properties of kites. For example, investigate angles, side lengths and the lengths of diagonals in kites.

Interactive resource

Design a city

Help a town planner to design a site plan for a city. Using a 10x20 grid, design areas for two regions (schools and terraces) based on the percentages given. Assign the area for an additional six regions, using percentages of your choice. Observe the number line displaying equivalent fractions and decimals for the percentages ...

Interactive resource

Design a farm

Help a town planner to design a site plan for a farm. Using a 10x20 grid, design areas for two regions (orchards and houses) based on the decimals given. Assign the area for an additional six regions, using decimals of your choice. Observe the number line displaying equivalent fractions and percentages for the decimals ...

Interactive resource

Neighbourhood fractions

Help a town planner to design site plans. Assign regions on a 10x20 grid for different uses. Calculate the percentage and the fraction of the total site used for each region. Use a number line to display fractions and equivalent decimals. Design site plans for a: 1. Neighbourhood; 2. City; 3. Farm. This learning object ...

Interactive resource

Design a school

Help a town planner to design a site plan for a school. Using a 10x10 grid, design areas for four regions (library, car park, lawn and canteen) based on the percentages given. Assign the area for an additional two regions, using percentages of your choice. Use a number line to indicate the equivalent fractions for two regions. ...