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Mathematics / Year 8 / Number and Algebra / Linear and non-linear relationships

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

Plot linear relationships on the Cartesian plane with and without the use of digital technologies (ACMNA193)

Elaborations
  • completing a table of values, plotting the resulting points and determining whether the relationship is linear
  • finding the rule for a linear relationship
General capabilities
  • Numeracy Numeracy
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Linear equations,  Cartesian planes

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1 direct match to ACMNA193 | 13 other related resources

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Plotting linear relationships and examples of linear relations

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This is a website designed for both teachers and students, which addresses content on plotting linear relationships from the Australian Curriculum for year 8 students. It contains material on plotting points on the Cartesian plane, working with tables of values, and looking at the gradient and the equation of a line. There ...

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Renovate, Calculate!

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A student resource that explores the use of mathematics in the trades. Highly interactive investigations into ratio, areas of special quadrilaterals and right-angled trigonometry.

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Syllabus bites – turbo turning

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The fourth in a series of Syllabus bites related to transformations on the Cartesian plane. This Bite covers rotation of points.

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Syllabus Bites: Revisiting proportion

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This is the first in a series of Syllabus Bites related to direct and indirect proportion. Students revise the concept of ratio. They create short visual explanations showing how problems can be solved.

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Interactive

Syllabus Bites: Direct proportion

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This is the second in a series of Syllabus Bites related to direct and indirect proportion. Interactive applets and dynamic geometry software allow students to explore quantities in direct proportion. Students draw conclusions about relationships between the variables and consolidate their understanding by playing a simple game.

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Interactive

Plotting Points in a Quadrant

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An animated tutorial demonstrating how to locate and plot points on the Cartesian plane, given coordinates. An interactive quiz is included.

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Syllabus bites – mixing it up

  • TLF-IDM016282

The fifth in a series of Syllabus bites related to transformations on the Cartesian plane. This bite covers combinations (composition) of transformations.

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Syllabus bites – frenzied flipping

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This is the second in a series of Syllabus bites related to transformations on the Cartesian plane. This Bite covers reflection of points.

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Interactive

Syllabus Bites: Graphing direct proportion

  • TLF-IDM016349

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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Interactive

Syllabus bites – flipping and sliding

  • TLF-IDM016436

This is the third in a series of Syllabus bites related to transformations on the Cartesian plane. Students further their understanding of translation and reflection and explore relationships between these two transformations.

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Interactive

Simultaneous Equations: animation

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A short animated introduction to simultaneous equations and a demonstration of the elimination method of solution, followed by an interactive quiz.

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Desmos Graphing Calculator - Google Play app

  • TLF-IDM019620

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.

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Interactive

Syllabus bites – speedy sliding

  • TLF-IDM021848

This is the first in a series of Syllabus bites related to transformations on the Cartesian plane aimed at Stage 4 Mathematics. Students find the coordinates of image points after translation. In doing so, they develop fluency in using coordinates and familiarity with the Cartesian plane, providing a basis for the investigations ...

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Online

Secondary mathematics: different representations

  • TLF-IDS4971

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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