AC9M7A04

describe relationships between variables represented in graphs of functions from authentic data

Elaborations

AC9M7A04_E1using graphs to analyse a building’s electricity or gas usage over a period of time, the value of shares on a stock market, or the temperature during a day, interpreting and discussing the relationships they represent
AC9M7A04_E2using travel graphs to compare the distance travelled to and from school, interpreting and discussing features of travel graphs such as the slope of lines and the meaning of horizontal line segments
AC9M7A04_E3telling the story behind what is being represented in graphs of functions; for example, graphs representing pouring rates or distance versus time
AC9M7A04_E4exploring how functions are used in machine learning to model relationships; for example, in linear regression models, a linear function is used to map input features to predictions
AC9M7A04_E5using graphs of evaporation rates to explore and discuss First Nations Australians’ methods of water resource management