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# 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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### In proportion: variables in ratios

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### In proportion: variables in rates and scales

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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 ...