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

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.


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

In proportion: variables in ratios

Complete customer orders for a large hardware store by interpreting the ratios. Work in the gardening department to fill orders for liquid fertiliser (expressed as ratios). Examine the equations suggested to you by your colleagues. Choose and solve the correct equation to complete each order. This learning object is the ...

Interactive resource

In proportion: variables in rates and scales

Complete customer orders for a large hardware store by interpreting rates and scales. Work in the gardening department to fill orders for mulch (expressed as rates), and help out with scale plans in the timber department. Examine the equations suggested to you by your colleagues. Choose and solve the correct equation to ...

Interactive resource

In proportion: graphs of ratios, rates and scales

Complete customer orders for a large hardware store by interpreting ratios, rates and scales. Work in the manager's office and discover how ratios, rates and scales can be represented as graphs. Use the graphs to discover quantities for garden fertiliser ingredients, the cost of mulch, and for finding lengths of timber ...

Assessment resource

Vitality drinks: assessment

Assess your ability to make drinks from a menu to match customer orders. For example, calculate the volume of each juice type required when given the ratio of juices for a drink of a particular total volume. Watch an animation to determine the ratio of juices in a new recipe. Calculate the volume of each juice in the new ...

Assessment resource

Biscuit factory: two gears: assessment

Test your understanding of ratios by choosing two gears of different sizes according to specific criteria. Complete a pair of gears, or choose the combination of two gears, depending on how many rotations each gear must make. For example, choose a belt gear size of 10 teeth and a driver of 40 teeth to make the belt gear ...

Assessment resource

Biscuit factory: three gears: assessment

Test your understanding of ratios by interpreting three-wheel gear systems where the wheels have different numbers of teeth. For example, how many rotations does a 10-tooth gear wheel make when driven by two driver wheels having 20 and 10 teeth? Also, choose a combination of three gear wheels to achieve a required number ...

Teacher resource

Simple machines - Teacher idea

This Teacher idea explains how students draw on day-to-day experiences with familiar machines as an introduction to forces and friction. Students investigate concepts including mechanical advantage, levers, inclined planes, wheel-and-axles and gears and apply this knowledge to design a machine. It includes a unit of work ...


Flower symmetry - mathematics activities

The photograph shows the flowers of a five-petalled weed common in southern Australia, where it is called a soursob. The symmetry in this plant, and in many other naturally occurring examples, contributes to the human understanding of 'beauty'. The mathematical interest in the pentagon and its correlate, the pentagram, ...