Mathematics / Year 10 / Number and Algebra / Linear and non-linear relationships

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

Solve problems involving linear equations, including those derived from formulas (ACMNA235)

Elaborations
  • representing word problems with simple linear equations and solving them to answer questions
General capabilities
  • Numeracy Numeracy
ScOT terms

Linear equations,  Substitution

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Year level 9-10
Resource type
Learning area Mathematics
Interactive Resource

Linear equations and inequalities

This resource is a collection of screen displays of questions relating to linear equations and inequations. Graphing tasks involve determining the coordinates of two points on the linear function. Other tasks are presented as multiple-choice questions and involve finding slopes of lines, calculating intercepts with the ...

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BBC Bitesize: more on equations - revision

These illustrated information sheets revise the methods of solving linear equations from simple ones with one unknown term to ones with the unknown on both sides. The solution of equations containing brackets or fractions is also considered. Full algebraic working is shown for sample equations. Students solve equations ...

Video

Using linear equations to model population growth, Hooke's Law and parcel shipping charges

In this animated presentation students are provided with three examples of mathematical modelling in real-world settings. Linear functions are used to model population growth, Hooke's Law and parcel shipping charges.

Teacher resource

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

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

Interactive Resource

Sites2See – applied mathematics

This collection of resources for Applied Mathematics has helpful links for the six Focus Studies - Communication, Driving, Design, Household Finance, Human Body and Personal Resource Usage. A laptop-friendly resource.

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S-tunes

Are music downloads a CD swan song? The application form for a radio DJ included the question 'What CD do you currently have loaded in your CD player?' The young applicant responded, 'I don’t own a CD player.' The Y-gen are techno savvy, but at what cost? A song from popular online stores costs around $1.30 each. A compilation ...

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Perpendicular lines and linear equations

This digital presentation demonstrates solving a problem about finding the equation of a line perpendicular to a given line and passing through a specific point. The workings and solution are revealed slowly and in sequential steps with explanations provided at some points. The steps can be seen more quickly by selecting ...

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BBC Bitesize: graphs - revision

These illustrated information sheets revise the rules for vertical and horizontal lines and the meaning of m and c in the rule y = mx + c. Students find the rule for a given linear graph. Tables of values are created so that graphs can be plotted. This resource is one of a series of online resources from the BBC's Bitesize ...

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Parallel lines and linear equations

This digital presentation demonstrates solving a problem about finding the equation of a line parallel to a given line and passing through a specific point. The workings and solution are revealed slowly and in sequential steps with explanations provided at some points. The steps can be seen more quickly by selecting the ...

Teacher resource

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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Matchsticks

Matchsticks can be used to create patterns. How many matches does it take to create one triangle? What about two, three or four triangles? This activity is a kinaesthetic approach to the mathematical modelling of a simple linear function while providing meaning to the parameters (m and c) in a simple linear function: y = mx + c.

Teacher resource

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

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.

Teacher resource

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 resource

Graphing: line of best fit

Plot some data points on a graph. Estimate the position for a line of best fit. Use a graphing tool to check your estimate. Add more points to see how they affect the position of the line of best fit.

Teacher resource

Data representation and interpretation using scatterplots - teacher resource

This resource is a professional learning package designed for pre-service teachers. It demonstrates and investigates the interrelated content, pedagogy and technology knowledge used in a series of mathematics lessons that focus on looking for a relationship between two variables. The resource provides video footage of a ...

Interactive Resource

Graphing calculator by Desmos - iTunes 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.

Teacher resource

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

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

Interactive Resource

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.

Dataset

Green growth indicators

This is a web resource consisting of a database of selected indicators for monitoring progress towards green growth in OECD countries, including Australia, and BRIICS economies - Brazil, Russian Federation, India, Indonesia, China and South Africa - from 1990 to 2012. The indicators are based on environmental and resource ...