AC9M8M07 Year 8 Mathematics

Content descriptor use mathematical modelling to solve practical problems involving ratios and rates, including financial contexts; formulate problems; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model

Elaborations

• • Elaboration modelling and solving problems related to situations such as scales on maps and plans, the mixing of chemicals or ingredients, or calculating magnification factors applying relevant ratios and proportions
• • Elaboration modelling problems involving converting money amounts using different exchange rates and applying them when planning and budgeting for overseas travel
• • Elaboration modelling situations involving financial contexts; for example, income tax, using taxation rates on annual income, comparing different taxation brackets and rates of pay; comparing the benefits of different phone plans using different call rates and associated fees to determine the best plan
• • Elaboration modelling situations involving the use of ratios in radiocarbon dating methods, including the ratio of carbon-14 to carbon-12 isotopes in organisms, to measure dates of First Peoples of Australia’s habitation on the Australian continent
• • Elaboration modelling situations involving ratio and its application in the making of string and cordage by First Nations Australians, including the ratio of length to the mass of a rope, the strength of the ply in proportion to a rope’s pulling force, and the proportion of fibre for the length of string required