Mathematics / Year 9 / Statistics

Curriculum content descriptions

represent the distribution of multiple data sets for numerical variables using comparative representations; compare data distributions with consideration of centre, spread and shape, and the effect of outliers on these measures (AC9M9ST03)

Elaborations
  • describing the shape of the distribution of data using terms such as “positive skew”, “negative skew” and “symmetric” and “bi-modal”
  • using stem-and-leaf plots to compare \(2\) like sets of data such as the heights of girls and the heights of boys in a class
  • constructing grouped histograms that show trends in health issues such as lung cancer, leukemia, stroke and diabetes, and using the graph to justify, verify or invalidate claims
  • exploring comparative data presented in reports by National Indigenous Australians Agency in regard to “Closing the Gap”, discussing the comparative distributions within the context of the data; for example, comparative data presented in the “Closing the Gap – Prime Minister’s Report”
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Multivariate analysis,  Outliers,  Stacked column charts,  Data representation,  Data analysis

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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. ...

Downloadable

The humanoid project

Students explore a large data set.

Downloadable

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, ...

Interactive

Plop it!

This is an interactive resource about statistics that allows students to investigate the effect of different datasets on the mean, median and mode. The student can enter data by selecting the central graph section of the screen to add, remove or move blocks, or by typing into the text area of the screen. The three different ...

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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: 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 ...

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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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MathXplosion, Ep 33: On the grid

Explore graphs, grids and mapping with a focus on reading and writing location data using coordinate geometry. Grids and maps illustrate the concepts of parallel/perpendicular lines (axes or labelled number lines), ordered pairs and intersection points.

Interactive

Water use and efficiency – sustainability action process (Years 7–10)

This resource guides students through an extended school-based or local investigation focussed on water use and efficiency using the five step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

Interactive

Waste and materials – sustainability action process (Years 7–10)

This resource guides students through an extended school-based or local investigation focussed on waste and materials using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

Video

ABC News: Getting your facts straight about water use

We hear a lot about water use in Australia. What are the real statistics about water use? What is the breakdown of water use for different groups across Australia? Watch this clip to find out who uses water and how much, and consider the value of water and the 'return' on this use for the Australian economy. The figures ...

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TIMES Module 22: Number and Algebra: consumer arithmetic - teacher guide

This is a 23-page guide for teachers, providing an introduction to the financial mathematics component of the number and algebra strands for years 9 and 10. A brief history of the concept of money concludes the module.

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Linear Relationships (and how Maths can help you choose a great car) - Calculate

The activity has students collecting their own information from a well-known Australia car buying website and using this to find an estimated relationship between the ‘asking price’ for a used car and the distance it has traveled in kilometres.

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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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Amp up the volume

This set of learning activities challenges students to build a portable amplifier that passively amplifies the sound produced by a smartphone. The module includes a comprehensive teacher guide, curriculum links, materials lists, design process guides and printable student resource sheets. The resource also provides an editable ...

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Proportion, Graphs and Equations - Calculate

This unit challenges students to identify and describe everyday examples of ‘direct’ and ‘indirect’ proportion. They learn to recognise direct and inverse proportion from graphs, distinguish between positive and negative gradients and use the equation y = kx to model direct linear proportion.

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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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TIMES Module 7: Statistics and Probability: data investigation and interpretation, year 9 - teacher guide

This is a 26-page guide for teachers. In year 8, students developed an understanding of the nature of censuses, surveys and observational studies. Year 9 develops this understanding further, and introduces examples of experimental investigations with an emphasis on random allocation of the combinations of experimental conditions. ...