AC9M8M05

See also: Learning Areas / Mathematics / Mathematics / Measurement / Year 8

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

Elaborations

• AC9M8M05_E1 - identifying examples of rates in the real world, including constant rates, rate of pay, cost per kilogram, recipes, simple interest and average rates
• AC9M8M05_E2 - 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
• AC9M8M05_E3 - 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
• AC9M8M05_E4 - using taxation tables to calculate an individual's annual income tax
• AC9M8M05_E5 - 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

Achievement Standard Components

• ASMAT804 - They use mathematical modelling to solve practical problems involving ratios, percentages and rates in measurement and financial contexts.