AC9M8M05 Year 8 Mathematics

Content descriptor recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure

Elaborations

• • Elaboration identifying examples of rates in the real world, including constant rates, rate of pay, cost per kilogram, recipes, simple interest and average rates
• • Elaboration applying rates to solve problems involving the conversion between different units of measure; for example, using a conversion rate to convert distances from miles into kilometres; using currency exchange rates to determine the price of items
• • Elaboration applying rates to calculate solutions to problems in different contexts; for example, required run rates in cricket, dilution of concentrated chemicals and comparing the petrol consumption rates of different vehicles
• • Elaboration using taxation tables to calculate an individual's annual income tax
• • Elaboration investigating the application of rates in First Nation Australians’ land management practices, including the rate of fire spread under different environmental conditions such as fuel types, wind speed, temperature and relative humidity; the conservation of water by First Nations Australians by estimating rates of water evaporation based on surface area and climatic conditions