Mathematics / Year 9 / Statistics

Curriculum content descriptions

plan and conduct statistical investigations involving the collection and analysis of different kinds of data; report findings and discuss the strength of evidence to support any conclusions (AC9M9ST05)

Elaborations
  • planning and conducting an investigation using questions together with analysis of secondary data set collected from online data bases such as the Australian Bureau of Statistics
  • planning and conducting an investigation relating to consumer spending habits; modelling market research on what teenagers are prepared to spend on technology compared to clothing, with consideration of sample techniques and potential sources of bias
  • investigating where would be the best location for a tropical fruit plantation by conducting a statistical investigation comparing different variables such as the annual rainfall in various parts of Australia, Indonesia, New Guinea and Malaysia, land prices and associated farming costs
  • posing statistical questions, collecting, representing and interpreting data from different sources in relation to reconciliation, considering the relationships between variables
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Ethical understanding Ethical understanding
  • Numeracy Numeracy
ScOT terms

Statistical analysis,  Statistical evidence,  Evidence,  Data analysis,  Reasoning,  Statistical problem solving

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reSolve: Mathematical modelling: Playing with fire

In this sequence of five lessons, students use mathematical modelling to determine when two small towns should evacuate in response to an approaching bushfire. Drawing on data from real and simulated fires in dry eucalypt forests, they investigate how weather conditions and topography influence the forward rate of spread. ...

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Big data

In this set of learning activities, students consider their contribution to big data through their daily activities and online interactions and gain insight into big data analysis. They take on the role of the data scientist to use big data to identify real-world problems and design possible solutions. The module includes ...

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Reconciliation progress

Students explore the notion of reconciliation in Australia analysing a report – Reconciliation Australia’s Australian Reconciliation Barometer to answer an inquiry question for their statistical investigation.

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The humanoid project

Students explore a large data set.

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The cost of cars

This lesson is designed for students to learn about car ownership in Australia and the real costs of buying and running a car. Students explore car ownership statistics in Australia, investigate the range of decisions people make about transport, calculate and compare costs of transport and make decisions on additional ...

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Assist me

This set of learning activities challenges students to students consider the role that STEM plays in healthcare. They explore how biomedical engineers and doctors work together to improve and invent devices that enable people with disabilities to complete daily life tasks efficiently and effectively. Students consider ethics, ...

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Perfect pricing

In this lesson, students are hotel managers conducting a statistical investigation to help them decide on a model for the perfect pricing structure for a new hotel/holiday resort.

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Mathematics of bushfire

In these classroom activities students will be introduced to some of the basic mathematical principles that underpin wildfire science, with an emphasis on how theoretical concepts are used to aid our understanding of the real world, and bushfire in particular. They will learn about the complexities of the fire management ...

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Trade and Investment at a Glance

Using an illustrated report from the Department of Foreign Affairs and Trade, this Teacher guide provides ten learning sequences that engage students in the analysis and interpretation of data about Australian imports and exports. Students: identify Australia's major exports and imports; investigate international trade ...

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Comparing data

This is a website designed for both teachers and students that addresses data comparison from the Australian Curriculum for year 9 students. It contains material on comparing data by developing questions, conducting data collection, displaying data and exploring and interpreting that data using a range of strategies. There ...

Interactive

Laptop wrap: Surveying statistics

In this laptop-friendly resource, students summarise the statistical process, design a sample survey and design a community brochure that displays large data sets using Excel charts.

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reSolve: Mechanical Linkages: Similar Triangles

This sequence of lessons explores the geometry of similar triangles using two real world objects: ironing boards and pantographs. In the first lesson, students investigate different ironing board leg lengths and pivot positions using similar and congruent triangles. In the second lesson, they use their knowledge of parallelogram ...

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reSolve: Monte Carlo Simulations

This sequence of two lessons explores how statistical techniques that rely on randomly generated data can be used to solve problems. In the first lesson, students compare different methods for calculating the area of an irregular shape, using the context of oil spill maps. They are introduced to the Monte Carlo method for ...

Interactive

Numeracy wrap: Tell me why

Interactive activities that guide students to consider the use and presentation of geometric reasoning.

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What are pixels?

Meet Kevin Systrom and Piper Hanson as they explain how digital images work. What are pixels, those tiny dots of light, made from? How are colours created and represented? What does Kevin say about the way mathematical functions are used to create different image filters. What is the difference between image resolution ...

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My Five Cents: What is opportunity cost?

What is the true cost of buying something? Gen Fricker explains that it's more than just money. Learn about opportunity cost - what it is, why it's a helpful tool and when to use it. Simple! Then test yourself with ASIC MoneySmart's "Things to think about" classroom exercises.

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MathXplosion, Ep 50: How to use a tetrahedron to solve the tree problem

How can you place four trees exactly the same distance apart from one other? By making a model! By using miniature trees to make a model of the problem, it becomes clear that a 2D solution is impossible. We learn how objects can help us visualise the problem situation, which in this case requires a 3D solution: a tetrahedron.

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Mystery man Pythagoras meets his match

What do you know about Pythagoras? Join Vi Hart as she not only explains his theorem but raises some legends about his dark past! Follow Vi's timeline of famous mathematicians to find out in which century Pythagoras lived. See how Vi shows a proof of his theorem and raises what was a big dilemma for Pythagoras: the irrational ...

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Catalyst: Magical maths

At first glance, maths and magic might not appear to have much in common, but did you know that you can use maths and logic to come up with solutions to problems that can seem magical? Learn one such maths trick in this video from ABC Catalyst. What is the probability of the letter not being 'e'?

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My Five Cents: Why borrowing can cost you more

Think credit cards are basically free money? Gen Fricker will make you think again. Learn how interest rates and fees affect the money you borrow, and why they may be more expensive in the long run. Oh dear! Then test yourself with ASIC MoneySmart's "Things to think about" classroom exercises.