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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

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. ...

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.

Online

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 ...

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 ...

Interactive

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.

Text

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, ...

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 ...

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.

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 ...

Online

reSolve: Sport Stats

In this lesson, students examine sporting scores and explore the concept of the average of a set of scores. Students collect sporting scores from real and hypothetical games, use blocks to visualise an even distribution of scores across matches and then explore how to calculate the average of a set of scores. The lesson ...

Online

reSolve: Statistics - Student Profiling

In this sequence of two lessons, students critically assess the Census@School 2014 Questionnaire and make decisions on how they would analyse the data given the types of questions and response. They describe the life of a single participant using their survey data and use a range of statistical tools to compare their participant ...

Online

reSolve: Rectilinear Polygons

In this sequence of three lessons, students use geometric reasoning to establish relationships between angles in polygons and go on to make generalisations using algebraic expressions. Students explore and enumerate right angles in a series of rectilinear polygons and generalise their findings. They then explore the number ...

Online

reSolve: What a Load of Rubbish

In this series of three lessons, students conduct an audit of the rubbish they find in their playground. They use a range of categories to sort, display and interpret the data and make simple inferences. They then reclassify the rubbish collected as to whether it can be recycled, composted or if it needs to go into the ...

Interactive

Desmos Graphing Calculator - Google Play app

Plot functions, create tables, add sliders and animate your graphs. Touch points of interest on the graph to show maximums, minimums and points of intersection. Type in an equation and watch the calculator solve the problem. Free when reviewed on 12/5/2015.

Online

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 ...

Online

Exploring farms that produce our meat and wool

This is a teacher resource containing a sequence of activities relating to meat and wool production in Australia. It contains material to assist planning and implementing a study of where farmers live, where our meat and wool comes from, technologies used in production and resource management, and how farm environment and ...

Online

reSolve: Reconciliation data

This lesson prompts students to examine data from the Reconciliation Barometer report, collect their own local data and compare with the national findings. Students discuss the meaning of reconciliation, explore statements from Reconciliation Barometer report, design a survey to collect local data relating to the statements ...

Online

reSolve: Real World Algebra: Linear Functions

This sequence of two lessons explores real world, algebraic, numeric and graphical representations of linear functions, focussing on the gradient of linear functions. Students use images of everyday objects and inscribe straight lines, then use Geogebra to explore the algebraic representation of their lines. Each lesson ...

Online

reSolve: Real World Algebra: Quadratic Functions

This sequence of three lessons explores different representations of quadratic functions, with particular emphasis on turning points in quadratic graphs. Students use images of trajectories, inscribe their own curves using Geogebra and then further explore the algebraic representation of their curves. Each lesson is outlined ...

Online

reSolve: Real World Algebra: Exponential Functions

This sequence of two lessons explores exponential functions as seen in the real world, linking the representations of function rules, graphs and tables of values. Students consider real world objects and data that can be described using exponential functions. They use simulations and modelling to investigate transformations, ...