Mathematics / Year 8 / Number and Algebra / Real numbers

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Curriculum content descriptions

Solve a range of problems involving rates and ratios, with and without digital technologies (ACMNA188)

Elaborations
  • understanding that rate and ratio problems can be solved using fractions or percentages and choosing the most efficient form to solve a particular problem
  • calculating population growth rates in Australia and Asia and explaining their difference
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Ratios

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6 direct matches to ACMNA188 | 2 other related resources

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Mixing Paints

  • TLF-IDM020726

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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Triathlon and Fitness

  • TLF-IDM020732

This resource is a web page containing an investigative task that explores rate. The estimated rate at which a competitor burns calories per hour for each discipline of triathlon is used to answer a problem. A 'Getting started' and 'Solutions' page is also available to support the task. This resource is an activity from ...

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Mixing More Paints

  • TLF-IDM020727

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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Burning Down

  • TLF-IDM020737

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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Six Notes All Nice Ratios

  • TLF-IDM020740

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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Online

reSolve: Fibonacci Miles

  • TLF-IDM025820

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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Online

Secondary mathematics: different representations

  • TLF-IDS4971

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 ...

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Online

reSolve: Mechanical Linkages: Quadrilaterals

  • TLF-IDM021845

This series of six lessons explores geometry using real world contexts focussed on the dynamics of linkages and moving joints of everyday tools and objects. Students use physical models and computer simulations, the lessons move from a view of geometry as a study static diagrams to encompass movement. Each lesson is outlined ...

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