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

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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This resource is a web page containing an interactive that can be used to explore the relationships between the angles of turn that produce the same vertical and horizontal displacements. The task provides an opportunity to apply their understanding of division and recurring decimals. A 'Getting started' page, printable ...

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This resource is a web page containing a challenging problem solving task that requires an understanding of rate and proportion. It can be solved in a number of ways for example graphically, using fractions or equations and all involve reasoning. A printable resource and solution is also available to support the task. This ...

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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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Syllabus bites – mixing it up

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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 – flipping and sliding

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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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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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Syllabus bites – speedy sliding

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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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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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Linear Equations

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

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