Mathematics / Year 9 / Number and Algebra / Real numbers

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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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8 direct matches to ACMNA208 | 12 other related resources
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Interactive

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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Online

TIMES Module 35: Number and Algebra: proportion - teacher guide

  • TLF-IDM008603

This is a 22-page guide for teachers. The module introduces the idea of direct proportion and illustrates its many uses in science, commerce and measurement. It looks at ratios, gradients and fractions. A history of the development and use of proportion concludes the module.

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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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Video

Catalyst: 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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The cost of cars

  • TLF-IDA002780

This lesson is designed for students to learn about car ownership in Australia and the real costs of buying and running a car. Students explore car ownership statistics in Australia, investigate the range of decisions people make about transport, calculate and compare costs of transport and make decisions on additional ...

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Text

A Little Atmosphere

  • TLF-IDA003904

This activity invites students to model the scaled thickness of the atmosphere on a globe using sheets of transparency material. The activity includes a list of tools and materials required, what to do and notice, an explanation for the underlying science of what students observe and suggestions for further activities.

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Online

Mathematical modelling (Measurement): Year 9 – planning tool

  • TLF-IDA003205

This planning resource for Year 9 is for the topic of Mathematical modelling. Students continue to solve mathematical problems from the real world around them. They draw upon knowledge learnt in the area of Measurement.

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Downloadable

Different ways to pay

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This lesson challenges students to explore the pros and cons of various payment options, how they spend their money, different consumer products and where to go for more information about saving money and debt. During the lesson, students investigate multiple payment options to choose those that suit their circumstances, ...

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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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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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Simultaneous Equations

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

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Online

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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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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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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Trigonometric Ratios

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An animated introduction to the basic trigonometric ratios.

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Video

Catalyst: Graham's number

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If you were asked what the biggest number you can think of is, what would you say? Infinity? Well, what about the biggest finite number you can think of? Mathematician Ron Graham came across such a gigantic number in his research that, to capture its massive size, he and his colleagues needed to come up with new methods ...

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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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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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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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