Mathematics / Year 9 / Number and Algebra / Real numbers

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

Solve problems involving direct proportion. Explore the relationship between graphs and equations corresponding to simple rate problems (ACMNA208)

Elaborations
  • identifying direct proportion in real-life contexts
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Rates (Ratios),  Linear equations,  Direct proportions,  Gradients

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2 direct matches to ACMNA208 | 18 other related resources
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Sites2See – applied mathematics

  • TLF-IDM016633

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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Interactive

Syllabus Bites: Proportionality problems

  • TLF-IDM016441

This is the fourth in a series of Syllabus Bites related to direct and indirect proportion. Students use graphs, equations and numerical methods to solve problems involving direct proportion.

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Interactive

Finding Angles From Ratios

  • TLF-IDM016193

An animated tutorial about using a calculator to find an angle when given a trigonometric ratio. An interactive quiz is included.

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Online

Very large and very small numbers

  • TLF-IDM013361

This is a website designed for both teachers and students, which addresses very large and very small numbers from the Australian Curriculum for year 9 students. It contains material on the vocabulary and notation for dealing with very large and very small numbers using scientific notation. There are pages for both teachers ...

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Interactive

Renovate, Calculate!

  • TLF-IDM016724

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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Interactive

The Numberline

  • TLF-IDM016500

An interactive tool that can help students explore a number line, including points representing integers, fractions and decimals

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Laptop wrap: Talking trigonometry

  • TLF-IDM016176

In this laptop-friendly resource, students consolidate their understanding of trigonometry by investigating practical applications of the ratios, highlighting the process they used to find a solution.

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Interactive

The Mathematical Toolkit

  • TLF-IDM016790

A 2D Shapes tool that can be used to create geometric objects such as quadrilaterals, circles, triangles, lines, arcs, rays, segments and vectors on a coordinate grid. Plot and label the vertices to reveal the internal angles, side lengths, area and perimeter, then manipulate the shapes on a grid to transform their shape ...

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Interactive

Laptop wrap – a slippery slope

  • TLF-IDM016265

Distance, midpoint and gradient are investigated as students design an Excel spreadsheet and make a Smart Notebook presentation on ski-lifts. Students then contribute to a discussion on the steepest street in the world. 

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Interactive

Trigonometric Ratios

  • TLF-IDM016660

An animated introduction to the basic trigonometric ratios.

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Online

Simple interest

  • TLF-IDM013745

This is a website designed for both teachers and students that addresses simple interest from the Australian Curriculum for year 9 students. It contains material on calculating simple interest. There are pages for both teachers and students. The student pages contain interactive questions for students to check their progress ...

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Online

Similarity

  • TLF-IDM013359

This is a website designed for both teachers and students, which addresses similarity from the Australian Curriculum for year 9 students. It contains material on enlargement transformation and similar triangles. There are pages for both teachers and students. The student pages contain interactive questions for students ...

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Interactive

Simultaneous Equations

  • TLF-IDM016222

A short introduction to simultaneous equations and how they are solved.

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Online

Coordinate geometry

  • TLF-IDM013746

This is a website designed for both teachers and students that addresses coordinate geometry from the Australian Curriculum for year 9 students. It contains material that shows the connection between algebra and geometry through graphs of lines and curves. There are pages for both teachers and students. The student pages ...

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Online

Trigonometry

  • TLF-IDM013360

This is a website designed for both teachers and students, which addresses content on trigonometry from the Australian Curriculum for year 9 students. It contains material on working with the similarity of right-angled triangles, the three basic trigonometric ratios, and solving problems with trigonometry. There are pages ...

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Online

Scientific notation

  • TLF-IDM013744

This is a website designed for both teachers and students that addresses scientific notation from the Australian Curriculum for year 9 students. It contains material on scientific notation using index laws and multiplication, division and indices. There are pages for both teachers and students. The student pages contain ...

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Interactive

Laptop wrap: Investing wisely

  • TLF-IDM016157

In this laptop-friendly resource, students investigate unit pricing and explore the formulae and concepts of simple and compound interest.

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Laptop wrap: Parallelendicular

  • TLF-IDM016249

Students construct a series of GeoGebra applets that investigate the parameters gradient and intercepts of straight lines. They reinforce this knowledge with Microsoft Math 3.0. 

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Interactive

Simultaneous Equations: animation

  • TLF-IDM016199

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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