Mathematics / Year 8 / Number and Algebra / Real numbers

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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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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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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Triathlon and Fitness

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

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 ...

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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 ...

Online

Mathematical modelling (Measurement): Year 8 – planning tool

This planning resource for Year 8 is for the topic of Mathematical modelling. Students use mathematical modelling to solve problems involving ratios and rates in a financial context.

Online

Rates and ratios: Year 8 – planning tool

This planning resource for Year 8 is for the topic of Rates and ratios. Students recognise and use rates to solve problems including, constant rates, rate of pay, cost per kilogram, recipes, simple interest and average rates. Students will also be required to make comparisons between two related quantities of different ...

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Mathematics, moon phases, and tides

Through this activity, students will learn the relationship between lunar phases and tides, graphically plotting the tidal range versus Moon phase over an annual cycle for a selected Australian port, as well as determining the mean tidal range for each lunar phase. Students will then focus on determining the relationship ...

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Work sample Year 8 Mathematics: Linear Relationships in the real world

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 8 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

Video

Proportional reasoning video

Use this video as a springboard to explore scaling or proportional thinking, and to apply that thinking in a food context, drawing on reasoning and mathematical modelling.

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Geometric reasoning - congruence

This is a website designed for both teachers and students that introduces congruence of shapes in the plane through transformations. In particular, transformations, translations, reflections in an axis and rotations of multiples of 90 degrees are used to define congruence and to identify congruent shapes. The four congruence ...

Downloadable

The wide wide world of sports betting

This lesson explores the difference between perfectly predictable events (like the roll of a die) and less certain events (such as sports). Students investigate mathematically how sports bookmakers create odds to guarantee themselves a profit and pay gamblers less for a win than they deserve. The lesson is outlined in ...

Downloadable

Operations: Foundation to Year 9

This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.