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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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Work sample Year 9 Mathematics: Similar triangles

  • TLF-IDA004063

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 9 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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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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Downloadable

Poker machines (simulation)

  • TLF-IDA003654

This lesson explores how poker machines work and what is meant by the term Return to Player (RTP) percentage. Students run simulations to determine how small betting amounts can lead to a large cumulative loss over time and examine how reinvesting profits or wins from playing the poker machine back into the machine has ...

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Lucky lottery

  • TLF-IDA003656

In this lesson, students play a simple lottery game, analyse their odds of winning and how this influences the decisions they made. Students determine the differences between experimental and mathematical probability, conduct a simulation modelling an event and critically evaluate the odds of winning the lottery. The lesson ...

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Algebra: Foundation to Year 9

  • TLF-IDA003564

This comprehensive resource describes the progression of algebra-related ideas and algebraic thinking. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in algebra including teaching and cultural implications.

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Downloadable

Operations: Foundation to Year 9

  • TLF-IDA003569

This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.

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Number: Foundation to Year 9

  • TLF-IDA003566

This comprehensive resource describes the progression of number-related ideas showing the relationship to other curriculum strands. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in number including teaching and cultural implications.

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Online

Use variables: Year 9 – planning tool

  • TLF-IDA003216

This planning resource for Year 9 is for the topic of Use variables. Students apply and extend their knowledge and skills of exponent laws to simplify or expand numeric and algebraic expressions and solve equations.

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Online

Graphs: Year 9 – planning tool

  • TLF-IDA003213

This planning resource for Year 9 is for the topic of Graphs. Students work with points, straight lines and line segments on the Cartesian plane, and use the coordinates of points to apply the formulas for calculating the gradient, midpoint and length of a line segment (distance between two points). They use digital tools ...

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Online

Number sequence: Year 9 – planning tool

  • TLF-IDA003215

This planning resource for Year 9 is for the topic of Number sequence. Students work with the real number system and recognise both rational and irrational numbers when working on a variety of mathematical problems. Students are fluent with integer arithmetic, fractions, decimals and now further their skills, applying them ...

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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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Transformation: Year 9 – planning tool

  • TLF-IDA003203

This planning resource for Year 9 is for the topic of Transformation. Students explore and develop their understanding of the enlargement transformation using dynamic geometry software. They will investigate what changes and what remains the same when a shape or object is enlarged. Students will look for patterns in the ...

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Mathematical modelling (Algebra): Year 9 – planning tool

  • TLF-IDA003212

This planning resource for Year 9 is for the topic of Mathematical modelling. Students use algebraic rules, tables, graphs and digital tools to construct linear and quadratic models for a range of real-life situations, make predictions and solve related problems. They spend time identifying variables to formulate the models ...

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Time and duration: Year 9 – planning tool

  • TLF-IDA003210

This planning resource for Year 9 is for the topic of Time and duration. Students are introduced to expressing numbers in scientific form. This descriptor applies scientific form specifically to time. Students require a good understanding of place value and powers of ten. Students should know where the notation is used ...

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Online

Patterns and number facts: Year 9 – planning tool

  • TLF-IDA003211

This planning resource for Year 9 is for the topic of Patterns and number facts. Students bring together knowledge and skills of algebraic and graphical representations of linear functions and quadratic functions. They make these connections by systematically varying the parameters in the rules y = ax + b and y = a(x + ...

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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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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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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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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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