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Mathematics / Year 7 / Number and Algebra / Linear and non-linear relationships

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Investigate, interpret and analyse graphs from authentic data (ACMNA180)

Elaborations
  • using travel graphs to investigate and compare the distance travelled to and from school
  • interpreting features of travel graphs such as the slope of lines and the meaning of horizontal lines
  • using graphs of evaporation rates to explore water storage
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Linear equations,  Graphs (Data representation)

Online

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 ...

Online

reSolve: Modelling Motion - Year 7

This sequence of seven lessons challenges students to use simple equipment to predict, observe and represent motion. They create a series of graphs to represent motion and construct instruments to measure forces in one and then two dimensions. They interpret these representations to develop concepts of force and motion. ...

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Syllabus Bites: Graphing direct proportion

This is the third in a series of Syllabus Bites related to direct and indirect proportion. Students draw graphs to represent relationships between variables in direct proportion. They associate the gradient of the graph with the constant of proportionality. They investigate practical contexts that give rise to direct proportion.

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A mathematical focus on 'Choose your own statistics'

This teaching resource demonstrates ways in which real data can be interpreted and analysed. It is based on the interactive learning resource Choose your own statistics, in which data is presented as infographics, graphical representations and tables. The focus of the supporting teaching and learning activities is on analysing ...

Interactive

Choose your own statistics

Explore the way in which statistics are presented using a wide range of graphs types for ten topics related to human rights. Customise and publish graphs and download data to a spreadsheet program such as Excel to enable further exploration.

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NFF: Farm facts 2012

This is a multilayered web page produced by the National Farmers' Federation, which includes links to a 34-page pdf and a Prezi providing a summary of agricultural production in Australia in 2012. These include information about Australian farmers and farms, as well as an overview of farming sectors such as wool, cotton, ...

Video

Tassie be dammed: opening the Meander Dam

In response to prolonged periods of drought, the Tasmanian Government embarked on a plan to 'drought-proof' Tasmania. Listen to the reasons that politicians and some public officials give for building more dams. This clip features the opening of the Meander Dam in 2008 in the state's north. Hear also from farmers who have ...

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Primary mathematics: open-ended tasks

These seven learning activities, which focus on 'open-ended tasks' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use investigations in order ...

Interactive

Leisure survey

Explore how kids use their leisure time. Choose questions to ask in a survey. For example, look at the percentages of kids that play tennis, basketball or netball. Examine a table of results. Sort the data and use it to answer questions. Display the results using a suitable type of graph such as a pie chart, bar graph or ...

Audio

Forbes Carlile discusses development of Australian sports science, 2008

This is an edited sound recording of the leading sports scientist and swimming coach Forbes Carlile speaking about his work in sports science. Carlile says that he worked under the 'father of sports science in Australia', Professor Frank Cotton. His own interest in the field was as a physiologist, measuring physical changes ...

Audio

Forbes Carlile talks about sports science as a career, 2008

This is an edited sound recording of the Australian sports scientist and swimming coach Forbes Carlile (1921-), speaking about sports science as a career. Carlile states that being competent at sport is useful, but not absolutely essential, for someone to be a good sports scientist. He says all scientific discoveries lend ...

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Triathlon: assessment: teacher guide

Use this resource with 'Triathlon: assessment' (L8274). First, see a profile of that assessment object, which gives you some helpful background information. Then follow clear guidelines on the interpretation of student's responses to questions based on interpreting information on a distance–time graph in the assessment object.

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Secondary mathematics: different representations

These seven learning activities, which focus on 'representations' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use different representations ...

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Secondary mathematics: using real data

These seven learning activities, which focus on the use of 'real data' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use the three content strands ...

Interactive

Biography: Federation people: Thomas Roberts

Investigate famous artist Thomas (Tom) Roberts's role in Federation. Examine two different types of biographies of Roberts: one short and the other more detailed. Inspect examples of how he was visually depicted in his time. This learning object is one in a series of objects in the 'Biography: Federation people' series.

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TIMES Module 2: Statistics and Probability: data investigation and interpretation, year 7 - teacher guide

This is a 13-page guide for teachers. In this module, in the context of statistical data investigations, we build on the content of year 5 on measurement data and count data with many different observed values of counts. Because these data types are quantitative, investigation and interpretation include considerations of ...

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GeogSpace: years 7-8 - inquiry and skills

This is a web page consisting of an overview and two illustrations of practice on the GeogSpace website, a resource for teachers. The illustrations relate to the Geographical inquiry and Skills and the Geographical Knowledge and Understanding strands of the Australian Curriculum: Geography. In Illustration 1, year 7 students ...

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Classroom Antarctica: Twilight zone

In this sequence of learning, students investigate the significant variation in sunlight hours that occur across Antarctica and in comparison to other locations on Earth. They interpret graphs of daylight hours and compare daylight and darkness received by places at different locations across Antarctica, Australia and the ...

Interactive

Linear Equations

An animated tutorial about solving simple linear equations, followed by an interactive quiz.