Classic sequences for AC V8.4

Year 9

Students compare the hazard and probabilities of various unnatural and natural causes of death. They use a simulation to see how probabilities apply to individuals.

Year 9

By modelling situations involving rates (traffic jam, queueing time at theme park), students identify key processes involved in mathematical modelling.

Year 9

Students design packaging for five reasonably cylindrical objects such as candles. They learn to prepare and critique reports of mathematical work.

Year 9

Students model how the selling price of a product relates to profit made, optionally using algebra and spreadsheets. They see how assumptions influence models.

Year 9

Students use the properties of similar triangles to explain why an ironing table stays horizontal and how a pantograph enlarges a drawing. They construct models and use dynamic geometry software.

Year 9

Students use the Monte Carlo method of problem solving by randomly generating data to calculate area and estimate π.

Year 9

Students use Pythagoras’ theorem to locate a missing phone, based on its distance from mobile phone towers.

Year 9

Students use dynamic geometry software to explore the role of each parameter in a linear function rule. They manipulate line graphs to align with features of images.

Year 9

Students create polygons with specific properties, and establish algebraic generalisations about the angles of the polygons.

Year 9

Students design and construct a Biltmore stick to measure the diameter and height of a tree. They calculate the biomass of a tree.

Year 10

Students examine two unusual arithmetic methods and use the expansion of perfect squares and difference of two squares to explain why they work.

Year 10

Students use geometry to explain how tools and objects move. Examining physical tools and models helps them develop deductive proofs.

Year 10

Students explore case studies where mathematical probabilities were used to make significant decisions. They interrogate the methodology used.

Year 10

Students apply Pythagoras’ theorem to solve a problem from an ancient Chinese mathematical text.

Year 10

Students use dynamic geometry software to examine how exponential functions can model real world features, such as trends in energy use.