# Classic sequences for AC V8.4

Browse and download our classic Foundation to Year 10 sequences, aligned with the Australian Curriculum V8.4.

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Displaying 91 - 105 of 110
Year 9

### Mathematical Modelling: How Risky is Life?

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.

Statistics and Probability
Year 9

### Mathematical Modelling: Introduction

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

Number and Algebra
Year 9

### Mathematical Modelling: Packaging Designer

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

Measurement and Geometry
Year 9

### Mathematical Modelling: Pricing for Profit

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

Number and Algebra
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.

Measurement and Geometry
Year 9

### Monte Carlo Simulations

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

Measurement and Geometry
Year 9

### Pythagoras’ Theorem: Phone Finding

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

Measurement and Geometry
Year 9

### Real World Algebra: Linear Functions

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.

Number and Algebra
Year 9

### Rectilinear Polygons

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

Number and Algebra
Year 9

### Tree Biomass

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

Measurement and Geometry
Year 10

### Algebra: Sums and Differences of Squares

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

Number and Algebra
Year 10

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

Measurement and Geometry
Year 10

### Probability: Forensic Investigations

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

Statistics and Probability
Year 10

### Pythagoras’ Theorem: Bent Bamboo

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

Number and Algebra
Year 10

### Real World Algebra: Exponential Functions

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

Number and Algebra