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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

Solve linear equations using algebraic and graphical techniques. Verify solutions by substitution (ACMNA194)

Elaborations
  • solving real life problems by using variables to represent unknowns
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Linear equations,  Substitution,  Intersecting lines

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3 direct matches to ACMNA194 | 11 other related resources

Interactive

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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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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Interactive

Linear Equations

  • TLF-IDM016323

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

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Online

reSolve: Rectilinear Polygons

  • TLF-IDM025324

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 ...

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Online

reSolve: Real World Algebra: Linear Functions

  • TLF-IDM021854

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 ...

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Video

Nautical Robots

  • TLF-IDM015450

How might you find out how much and where the Earth's oceans are warming? Watch the report by Ruben Meerman and discover how more than 3000 'nautical robots', known as argo floats, have been placed in the oceans to collect data on variations in temperature, pressure and salinity.

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Online

Trade and Investment at a Glance

  • TLF-IDM025125

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 ...

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Online

TIMES Module 33: Number and Algebra: factorisation - teacher guide

  • TLF-IDM009036

This is a 17-page guide for teachers. It continues the discussion of factorisation. In particular, the techniques for the factorisation of quadratic expressions are presented.

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Online

TIMES Module 36: Number and Algebra: formulas - teacher guide

  • TLF-IDM009037

This is a 13-page guide for teachers. It introduces the use of formulas, and includes substitution and the solution of the resulting equations.

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Online

TIMES Module 34: Number and Algebra: quadratic equations - teacher guide

  • TLF-IDM009038

This is a 19-page guide for teachers. It introduces quadratic equations and methods for solving them.

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Online

TIMES Module 32: Number and Algebra: fractions and the index laws in algebra - teacher guide

  • TLF-IDM009044

This is a 24-page guide for teachers. This module extends the use of pronumerals to include algebraic fractions. It includes substitution, adding like terms, the use of brackets and multiplying terms, the use of algebra to describe number patterns and extending the use of the index laws. Algebraic notation is discussed.

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Online

Plotting linear relationships and examples of linear relations

  • TLF-IDM013357

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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Interactive

Numeracy wrap: Race across transversals

  • TLF-IDM016118

Interactive activities that guide students to explore angles in parallel lines.

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Interactive

Circus towers: square stacks

  • TLF-IDL1935

Work out how many acrobats are needed to form square-shaped human towers. Start by building a square tower with four acrobats: two acrobats in the base layer and two acrobats standing on their shoulders. Examine a table and graph of the total number of acrobats in the towers. Predict the number of acrobats needed to build ...

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