AC9M7A06 Year 7 Mathematics

Content descriptor manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables

Elaborations

• • Elaboration experimenting with different sets of tables of values from formulas; for example, using volume of a rectangular prism = length × width × height, and specifying a fixed width and equal length and varying the height
• • Elaboration using spreadsheets and the formula function to recognise the effect of changing parameters on the entries in cells
• • Elaboration analysing distance travelled for different combinations of average speed and time of travel using a table of values and the distance formula
• • Elaboration exploring how deep learning models used for training artificial intelligence agents can involve the manipulation of mathematical functions with multiple variables; for example, conducting a sensitivity analysis to understand the artificial intelligence model's behaviour
• • Elaboration understanding that the relationship between variables in an artificial intelligence model assists with explainability and interpretability; for example, manipulating and analysing formulas allows researchers to gain insights into how and why a model makes certain predictions