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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

Connect fractions, decimals and percentages and carry out simple conversions (ACMNA157)

Elaborations
  • justifying choices of written, mental or calculator strategies for solving specific problems including those involving large numbers
  • understanding that quantities can be represented by different number types and calculated using various operations, and that choices need to be made about each
  • calculating the percentage of the total local municipal area set aside for parkland, manufacturing, retail and residential dwellings to compare land use
General capabilities
  • Numeracy Numeracy
ScOT terms

Simple fractions,  Percentages,  Decimals

Online

TIMES Module 20: Number and Algebra: percentages - teacher guide

This is a 15-page guide for teachers. This module introduces percentages and their many uses in science, commerce and measurement.

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The Numberline

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

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Choose your own statistics

Explore the way in which statistics are presented using a wide range of graphs types for ten topics related to human rights. Customise and publish graphs and download data to a spreadsheet program such as Excel to enable further exploration.

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Converting decimals to percentages

This interactive resource consists of a series of questions about converting decimals into percentages. The viewer is required to convert a decimal number into a percentage and enter the answer in a window on the screen. The answer can be checked and, if correct, the viewer moves to the next question. Help is available ...

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 ...

Interactive

Rounding decimals

This is a six-page HTML resource about solving problems concerning rounding. It contains one video and eight questions, four of which are interactive. The resource discusses and explains solving problems with rounding of decimals to reinforce students' understanding.

Video

Solving percentage problems

This digital resource is a video demonstration of a procedural method to calculate an unknown quantity, given an amount is a known percentage of the unknown. For a single example, students are presented with an algorithmic, step-by-step, pen-and-paper method. The demonstration is complemented by the presenter's commentary ...

Interactive

Multiplication of decimals by a whole number

This is a four-page HTML resource about solving problems concerning the multiplication of decimals. It contains one video and four questions, two of which are interactive. The resource discusses and explains solving problems involving multiplying a decimal by a whole number to reinforce the students' understanding.

Video

Small scale measurements

What units of measurements do we use to describe incredibly small things like blood cells and atoms? Watch as you are taken on a journey to explain the different units of measurement that we use to describe the very small.

Video

Marking up the price of goods

Why do many items cost far more in Australia than they do overseas? Find out how and why Australian businesses mark up their products so they can make a profit. The clip provides the context for calculating percentage mark up and discounts on shopping items.

Video

Rounding decimals to the nearest tenth

This is a digital resource comprising a video demonstration of rounding a decimal fraction to the nearest tenth. The commentary uses and interchanges between the language of decimal places and decimal place values expressed in terms of tenths and hundredths. Practice questions dealing more broadly with rounding numbers ...

Online

reSolve: Modelling Motion - Year 7

This sequence of seven lessons challenges students to use simple equipment to predict, observe and represent motion. They create a series of graphs to represent motion and construct instruments to measure forces in one and then two dimensions. They interpret these representations to develop concepts of force and motion. ...

Online

TIMES Module 18: Number and Algebra: decimals and percentages - teacher guide

This is a 21-page guide for teachers containing an introduction to decimals and percentages. It shows how place value is extended to describe positive numbers less than one. It also explores how to represent decimals on the number line, compare decimals, undertake the four basic arithmetic operations with decimals and change ...

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.

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Imperial pie

This activity involves making a cake using a recipe in which the quantities of the ingredients required are measured using a variety of imperial units. To complete the recipe, students need to convert the imperial units to metric units in order to be able to use their metric measuring instruments. The activity serves to ...

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.

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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.

Video

Calculating percentage and simple interest: Banking

Most of us use banks to keep our money safe. We put our money in, can access it at any time and earn interest. So how do the banks make such enormous profits? Where does that money come from? Listen to Nathan Bazley explain how the banks use your money and make a profit. This clip provides a context for percentage, simple ...

Online

Measuring Millennium Development Goals progress

This is a unit of work about progress towards achieving the United Nation's Millennium Development Goals (MDG). Written from a global education perspective, the resource consists of four single- or multi-lesson activities, titled: What do the Millennium Development Goals measure?; Tracking the world's progress; Comparing ...

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ConCensus

Bring Australian statistics to life with ConCensus – a data visualisation game which allows you to interact with real data from the Australian Bureau of Statistics 2011 Census. ConCensus presents population data as numbers, as a percentage and as representations such as data visualisations, graphs and tables. Use data ...