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Mathematics / Year 7 / Number and Algebra / Real numbers

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

Express one quantity as a fraction of another, with and without the use of digital technologies (ACMNA155)

Elaborations
  • using authentic examples for the quantities to be expressed and understanding the reasons for the calculations
General capabilities
  • Numeracy Numeracy
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Simple fractions

Online

Expressing one quantity as a fraction of a second

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 ...

Interactive

Playground percentages

Help a town planner to design two site plans for a school. Assign regions on a 10x10 grid for different uses such as a playground, canteen, car park or lawn. Calculate the percentage of the total site used for each region. Use a number line to display fractions and equivalent fractions.

Interactive

Cassowary sanctuary

Help a park ranger to arrange fencing in a wildlife sanctuary. Divide common geometric shapes into equal-sized sections for keeping cassowaries. Group the enclosures to form a quarantine zone for sick and injured birds. Then express divisions of the enclosures as fractions. Work through facts about the life of cassowaries: ...

Online

Primary mathematics: open-ended tasks

These seven learning activities, which focus on 'open-ended tasks' 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 investigations in order ...

Interactive

Decimaster: match-up 1

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on an area representation and a common fraction. Match three decimals with each tool.

Interactive

Cassowary fractions

Help a park ranger to arrange fencing in a wildlife sanctuary. Divide common geometric shapes into equal-sized sections for keeping cassowaries. Group the enclosures to form a quarantine zone for sick or injured birds. Then express the divisions of the enclosures as fractions. This learning object is one in a series of ...

Interactive

The foul food maker: go figure

This tutorial is suitable for use with a screen reader. It explains how the use of simple words can describe the likelihood of everyday events. How likely is an event: certain, likely, equal chance, unlikely or certainly not? Answer some questions using these words and then build your own examples. Learn how to describe ...

Interactive

Fraction fiddle: matching cake fractions

Fill orders in a cake shop. Match a fraction to parts of a cake. For example, identify the fraction of a cake remaining after it has had one quarter removed. Check your prediction by making the fraction and seeing what it looks like as part of a circle. Watch the circle change as you adjust the numerals in the numerator ...

Interactive

Fraction fiddle: hit the apple

Help an archer to hit an apple with his arrow. Build two fractions to make a total of one whole. Complete the numerators of both fractions (they may have fixed denominators). For example, work out how many quarters and how many eighths can be added together to total one whole. Look at fraction bars and a number line to ...

Online

Comparing fractions: strategies: assessment: teacher guide

Use this resource with 'Comparing fractions: strategies: assessment' (L9771). First, see a profile of that assessment object, which gives you some helpful background information. Then follow clear guidelines on the interpretation of student input related to comparing fractions and deciding which pair of fractions is larger, ...

Interactive

Cassowary ecology quiz

Explore facts about the life of cassowaries: physical characteristics; diet; habitat; life cycles; and locations. Interact with graphs to see how much people can help cassowaries. Work through ecology notes and resources. Answer questions as you go; express your answers as fractions. This learning object is one in a series ...

Online

Comparing fractions: assessment: teacher guide

Use this resource with 'Comparing fractions: assessment' (L7736). First, see a profile of that assessment object, which gives you some helpful background information. Then follow clear guidelines on the interpretation of student input related to comparing fractions and deciding which pair of fractions is larger, or if they ...

Text

BBC Bitesize: fractions - revision

This is a set of information sheets dealing with fraction concepts, terminology and calculations. Students are presented with practice questions and have access to a short test to assess their learning. This resource is one of a series of online resources from the BBC's Bitesize collection.

Online

Multiplication and division of fractions

This is a website designed for both teachers and students that addresses multiplication and division of fractions from the Australian Curriculum for year 7 students. It contains material on multiplication and division of fractions and explains how to deal with whole numbers and mixed numbers when multiplying and dividing ...

Online

TIMES Module 14: Number and Algebra: fractions - teacher guide

This is a 16-page guide for teachers that provides an introduction to fractions. It covers ordering, the four basic arithmetic operations, cancelling, writing in simplest form, the use of the area model for multiplication and the use of the number line for ordering, adding and subtracting. A history of the development of ...

Online

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

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

Interactive

The Numberline

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

Interactive

Algebraic Fractions

An animated introduction to algebraic fractions, with a demonstration of simplifying basic algebraic fractions. An interactive quiz is included.

Text

Addition and subtraction of fractions

This is a website designed for both teachers and students that addresses addition and subtraction of fractions. There are pages for both teachers and students. The student pages contain interactive questions for students to check their progress in the topics.

Online

Equivalent fractions and the use of the number line

This is a website designed for both teachers and students that addresses equivalent fractions from the Australian Curriculum for year 7 students. It contains material on equivalent fractions, and explains how equivalence can be demonstrated on the number line. There are pages for both teachers and students. The student ...