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Listed under:  Mathematics  >  Number (Mathematics)  >  Proportions  >  Ratios
StillImage

Bookmaker's indicator board, 1947

This is a bookmaker's indicator board, an apparatus for the display of betting odds, comprising four die-cast metal pieces joined to form an indicator board that is rectangular in shape and painted green. It was manufactured by Diecasters Australia in 1947. There is provision for a total of 12 names, each having a corresponding ...

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Phi challenge

The golden ratio, Phi: fact or fallacy? What about the Fibonacci sequence? We are told this ratio and its cousin Fibonacci occur everywhere in nature. Let's see which of these claims stacks up when put to the test.

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Nautical Robots

How might you find out how much and where the Earth's oceans are warming? Watch the report by Ruben Meerman and discover how more than 3000 'nautical robots', known as argo floats, have been placed in the oceans to collect data on variations in temperature, pressure and salinity.

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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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Calculating ratios: Australian and US dollar

Have you looked at buying an item in Australia compared to buying it online? Often the online price needs to be converted to Australian dollars (AUD). Listen to Sarah Larsen describe the value of the 'Aussie' dollar compared to the US dollar (USD) and why the value keeps on changing. This clip provides a context to calculate ...

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Are plants mathematicians?

Ever noticed that plants are examples of Fibonacci numbers? Watch Vi Hart draw examples of flower petals and leaf growth that follow this pattern. See how plants seem to use Phi (.), the golden ratio. Find out how to make your own 'angle-a-tron' to create interesting petal designs. This is the second in a series of two.

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Speeding: a little is a lot

As the speed of a car increases, the amount of energy also increases. When speeds above 60 km per hour are reached, the risk of crashing increases exponentially. Watch this animated road safety clip to discover how speed impacts on reaction time and braking distance, increasing the rate of crash risk.

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Burning Down

This resource is a web page containing a challenging problem solving task that requires an understanding of rate and proportion. It can be solved in a number of ways for example graphically, using fractions or equations and all involve reasoning. A printable resource and solution is also available to support the task. This ...

Teacher resource

Secondary mathematics: different representations

These seven learning activities, which focus on 'representations' 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 different representations ...

Teacher resource

Mental computation: ratio and percentage

This is a teacher resource that is part of a wider series; it provides a strategies-based approach to mental computation of problems involving ratios and percentages for primary level. It provides 13 classroom activities that enable students to develop mental-computation skills in sequence by building conceptual understanding ...

Teacher resource

Liveability and sustainable living - teacher resource

This resource for teachers is a series of 12 activities in three parts that can be used to support the year 7 geography unit, Place and liveability. Each part includes several detailed activities relevant to exploring different aspects of liveability. These include: investigating local qualities of liveability, making comparisons ...

Teacher resource

Rates and ratio

This sequence for mathematics focuses on developing the language of rates and ratios and exploring their representation of real-life events. A provocation is used as a starting point. Teachers can then choose from a number of relevant tasks depending on student needs.

Interactive resource

The Metrix: decimals: rate 1

Measure the rate of speed required for the Metrix spacecraft to escape the Earth’s orbit. Use the metric measurement table to help you make unit conversions involving decimal numbers. This learning object is one in a series of 26 objects.

Interactive resource

The Metrix: decimals: rate 2

Measure the air pressure required to destroy an alien attacking the Metrix spacecraft, by converting between units of volume and time. Use the metric measurement table to help you make unit conversions involving decimals. This learning object is one in a series of 26 objects.

Interactive resource

The Metrix: decimals: rate 3

Match the speed of the Metrix spacecraft to an asteroid's speed by converting between units of length and rates of time. Use the metric measurement table to help you make unit conversions involving decimals. This learning object is one in a series of 26 objects.

Interactive resource

Mixing colours: paint

Use a mixing machine to make new colours from red, blue, yellow and white. Adjust the mixtures, then save the new colours in paint pots. Use the paint pots to colour a picture. This learning object is one in a series of two objects.

Interactive resource

Mixing colours: match

Use a mixing machine to make new colours from red, blue, yellow and white. Adjust the mixtures, then save the new colours in paint pots. Use the paint pots to colour a picture. Match the colours on a finished picture. This learning object is one in a series of two objects.

Interactive resource

Squirt: three containers

Examine the relationships between capacities of various containers. Look at three containers that may have different diameters, heights and shapes. Fill a container and squirt liquids between the containers to establish the proportional relationship. Work out the third 'unlinked' relationship from two known relationships. ...

Interactive resource

Squirt: three containers: level 1

Examine the relationships between capacities of containers of the same shape, but different size. Squirt liquids between three containers to establish the proportional relationship. Work out the third 'unlinked' relationship from two known relationships. Express relationships using mathematical notation such as 2a=6b=3c. ...

Interactive resource

Squirt: three containers: level 2

Examine the relationships between capacities of containers of different shapes and sizes. Squirt liquids between three containers to establish the proportional relationship. Work out the third 'unlinked' relationship from two known relationships. Express relationships using mathematical notation such as 2a=6b=3c. This learning ...