AC9M8M07 Year 8 Mathematics

This Content Descriptor from Year 8 Mathematics provides the specific knowledge and skills students should learn. Use it to plan lessons, create learning sequences, and design assessments that align with the Australian Curriculum v9.

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

• 1 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
• 2 modelling problems involving converting money amounts using different exchange rates and applying them when planning and budgeting for overseas travel
• 3 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
• 4 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
• 5 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

Related Achievement Standards