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Listed under:  Ratios
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Six Notes All Nice Ratios

This resource is a web page containing a short task to explore ratio and fractions. The task is based on the Pythagoreans discovery that simple ratios of string length made nice sounds together. A 'Getting started' page, printable resource and solution is also available to support the task.This resource is an activity ...

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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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Calculating ratios using the value of the Australian dollar

The value of the Australian dollar rises and falls on a regular basis. Listen to Kirsty Bennett explain how this is good if we want to purchase goods that are produced overseas but makes Australia a more expensive place for tourists to visit. This clip provides a context to calculate ratios.

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reSolve: Paint with Numbers

This sequence of three lessons explores ratios through the context of mixing paint. Students investigate how ratios express a multiplicative relationship between two measures and under what conditions the proportions remain constant when the numerical values of both quantities change. The lessons are outlined in detail ...

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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 ...

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Mixing Paints

This resource is a web page containing an investigative task to explore ratios. The context of mixing paints to particular ratios of colours provides a useful task to model practical situations involving ratios. A 'Getting started' and 'Solutions' page is also available to support the task. This resource is an activity ...

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Mixing More Paints

This resource is a web page containing an investigative task to explore ratios and is a follow up to the task Mixing Paints. The context of mixing paints to particular ratios of colours provides a useful task to model practical situations involving ratios. A 'Getting started' and 'Solutions' page is also available to support ...

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Mixing Lemonade

This resource is a web page containing an interactive task to explore ratios and proportions. Compare different mixtures of lemonade and develop a strategy for deciding which is stronger each time. The task requires students to apply their understanding of ratio and proportions. A 'Getting started' page, 'Solution' and ...

Online

reSolve: Fibonacci Miles

This lesson introduces students to a trick for quick conversion between miles and kilometres using the Fibonacci sequence. Students are challenged to explain why the trick works. They investigate using their knowledge of ratio and discover that the miles/kilometres conversion rate is close to the golden ratio. The lesson ...

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Round and Round and Round

This resource is a web page containing an interactive that can be used to explore the relationships between the angles of turn that produce the same vertical and horizontal displacements. The task provides an opportunity to apply their understanding of division and recurring decimals. A 'Getting started' page, printable ...

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Tuning and Ratio

This resource is a web page containing a challenging problem solving task that requires an understanding of ratios and logarithms. It explains how intervals such as an octave corresponds to a particular ratio of string lengths which produce the notes. Two types of tuning based on ratios; The Pythagorean Scale and Just Intonation ...

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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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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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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 ...

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reSolve: Tree Biomass

In this sequence of two lessons, students investigate how many trees would be required to supply paper for their school for a year. Students use similar triangles, Pythagoras' Theorem and algebra to design and construct a Biltmore stick, used to measure the diameter and height of a tree. They measure trees, calculate their ...