Mathematics / Year 7 / Number and Algebra / Real numbers

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Curriculum content descriptions

Recognise and solve problems involving simple ratios (ACMNA173)

Elaborations
  • understanding that rate and ratio problems can be solved using fractions or percentages and choosing the most efficient form to solve a particular problem
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Ratios

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9 direct matches to ACMNA173 | 3 other related resources

Online

TIMES Module 17: Number and Algebra: the unitary method - teacher guide

  • TLF-IDM008820

This is an 18-page guide for teachers. This module introduces the idea of ratios and rates.

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Online

reSolve: Paint with Numbers

  • TLF-IDM025818

This sequence of three lessons explores ratios through the context of mixing paint. Students investigate how ratios express a multiplicative relationship between two measures and under what conditions the proportions remain constant when the numerical values of both quantities change. The lessons are outlined in detail ...

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Video

Proportional reasoning video

  • TLF-IDA003310

Use this video as a springboard to explore scaling or proportional thinking, and to apply that thinking in a food context, drawing on reasoning and mathematical modelling.

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Online

Patterns, rules and graphs

  • TLF-IDA003487

In this lesson, students play games and learn about space and location, the Cartesian plane, pattern recognition and reductive reasoning by playing games and thinking. Students create algebraic equations to describe their strategy. Follow this lesson with Graphs: formulas and variables, though both lessons can be taught ...

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Online

Practical numbers: Part 2

  • TLF-IDA003495

In this lesson we use the context of an ancient bazaar to investigate measurement systems. Students select a name and base number for their system of measurement, using weights made from clay or similar material. They divide their clay into possible unit fractions to generate their set of weights. They assign a fictional ...

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Online

Proportional reasoning: Year 7 – planning tool

  • TLF-IDA003260

This planning resource for Year 7 is for the topic of Proportional reasoning. Students are introduced to ratios as a method of comparing quantities. Students learn how to recognise and represent these comparisons to solve problems. The concept of dividing a quantity by a given ratio is also introduced.

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Online

Mathematical modelling (Measurement): Year 7 – planning tool

  • TLF-IDA003272

This planning resource for Year 7 is for the topic of Mathematical modelling. Students use the mathematical modelling to solve representations of real-world problems.

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Online

Practical numbers: Part 1

  • TLF-IDA003485

In this lesson, students explore standardised measuring systems. They encounter the challenge of a shopkeeper who must determine how to weigh different quantities of spices most efficiently. Working in a financial context, students model this scenario using fractions, percentages and ratios, and communicate their solution ...

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Video

Volume and mathematical modelling video

  • TLF-IDA003095

Use this video as a springboard to explore volume of composite shapes, adjusting numbers to make calculations friendlier and draw on reasoning and mathematical modelling.

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Online

Expressing one quantity as a fraction of a second

  • TLF-IDM014350

This is a website designed for both teachers and students that addresses the expression of one quantity as a fraction of a second quantity from the Australian Curriculum for year 7 students. It contains material on using the unitary method to solve fraction problems. There are pages for both teachers and students. The student ...

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Online

Secondary mathematics: different representations

  • TLF-IDS4971

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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Online

Australia's population: countries of birth - dataset

  • TLF-IDM007102

The dataset provides statistics about the estimated resident population, median age and sex ratio by countries of birth for the latest year of available data. It is periodically updated by the Australian Bureau of Statistics (ABS). The dataset is included in the list of related datasets on the page in MS Excel format.

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