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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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Syllabus Bites: Proportionality problems

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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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Sites2See – applied mathematics

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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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Secondary mathematics: different representations

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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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Laptop wrap: Investing wisely

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

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Finding Angles From Ratios

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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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Algebra four

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This is an interactive game for two students in which they solve algebraic equations, similar to 'Connect four'. The players can choose from problems that are one- or two-step, quadratic, have distributive properties or have variables on both sides, and more than one problem type can be chosen. The length of time each player ...

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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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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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Laptop wrap: Parallelendicular

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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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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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The Numberline

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

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Coordinate geometry

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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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Simultaneous Equations

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

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Laptop wrap – a slippery slope

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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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Laptop wrap: Talking trigonometry

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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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Laptop wrap: Expanding on algebra

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Students make a presentation on the index laws, investigate the visual representation of the binomial expansions and design an acronym to help recall the special products. 

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Trigonometric Ratios

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An animated introduction to the basic trigonometric ratios.

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Scientific notation

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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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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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Trigonometry

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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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