Mathematics / Year 7 / Number and Algebra / Real numbers

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

Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies. (ACMNA158)

Elaborations
  • using authentic problems to express quantities as percentages of other amounts
General capabilities
  • Numeracy Numeracy
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Percentages

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Year level 7-8
Resource type
Learning area Mathematics
Teacher resource

A mathematical focus on 'Choose your own statistics'

This teaching resource demonstrates ways in which real data can be interpreted and analysed. It is based on the interactive learning resource Choose your own statistics, in which data is presented as infographics, graphical representations and tables. The focus of the supporting teaching and learning activities is on analysing ...

Interactive Resource

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.

Interactive resource

Neighbourhood fractions

Help a town planner to design site plans. Assign regions on a 10x20 grid for different uses. Calculate the percentage and the fraction of the total site used for each region. Use a number line to display fractions and equivalent decimals. Design site plans for a: 1. Neighbourhood; 2. City; 3. Farm. This learning object ...

Interactive resource

Design a neighbourhood

Help a town planner to design a site plan for a neighbourhood. Using a 10x20 grid, design areas for four regions (apartments, hospitals, sports fields and schools) based on the fractions, decimals or percentages given. Assign the area required for an additional two regions, using a percentage and a decimal of your choice. ...

Interactive resource

Design a farm

Help a town planner to design a site plan for a farm. Using a 10x20 grid, design areas for two regions (orchards and houses) based on the decimals given. Assign the area for an additional six regions, using decimals of your choice. Observe the number line displaying equivalent fractions and percentages for the decimals ...

Interactive Resource

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 from ...

Teacher resource

MoneySmart teaching

This is a website from the Australian Securities and Investments Commission that provides up-to-date content and support in consumer and financial literacy for Australian educators. The website provides access to professional and personal learning programs, as well as resources for teaching and learning including units ...

Interactive resource

Design a city

Help a town planner to design a site plan for a city. Using a 10x20 grid, design areas for two regions (schools and terraces) based on the percentages given. Assign the area for an additional six regions, using percentages of your choice. Observe the number line displaying equivalent fractions and decimals for the percentages ...

Moving Image

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.

Interactive resource

Exploring combined percentages

Examine sports statistics for successfully completed passes in a gridiron match. Adjust the number of completions and passes needed in a second match to produce a given combined percentage. Watch a video showing how performance statistics change during a match.

Assessment resource

Design a park: 5 by 5 grid: assessment

Test your knowledge of percentages and their relationship with proper fractions. Represent given percentages on a 5 by 5 grid. Also show them on a number line marked in tenths. Allocate squares on the grid to match the given percentages for different parts of the park. For example, show 24% of the grid as bushland. Add ...

Moving Image

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 ...

Assessment resource

Design a school: 10 by 10 grid: assessment

Test your knowledge of percentages and their relationship with proper fractions. Represent given percentages on a 10 by 10 grid. Also show them on a number line marked in tenths. Allocate squares on the grid to match the given percentages for different parts of the school. For example, show 15% of the grid as classrooms. ...

Assessment resource

Design a farm: 5 by 10 grid: assessment

Test your knowledge of percentages and their relationship with proper fractions. Represent given percentages on a 5 by 10 grid. Also show them on a number line marked in tenths. Allocate squares on the grid to match the given percentages for different parts of the farm. For example, show 18% of the grid as grazing land. ...

Teacher resource

Using ConCensus for mathematical enquiry

This teaching resource demonstrates ways in which real Australian Census data (in this case data from the 2011 Census placed into the ConCensus interactive) can be interpreted and analysed. Population data is presented both in numbers and as a percentage. The representations include data visualisations, graphs and tables. ...

Teacher resource

Your place in the world: Australia's agriculture

This is a web page about calculations based on percentages, using data on Australia's agricultural production. It presents a teaching sequence on analysing Australia's main agricultural commodities. The page includes a link to a student worksheet on the application of percentages in which students complete a table and answer ...

Teacher resource

Australia's Trade through Time

Using an interactive timeline created by the Department of Foreign Affairs and Trade, this Teacher guide provides 12 series of learning experiences that engage students in the analysis and interpretation of data about Australian trade from 1900 to the present day. Students study videos, tables, images and texts in order ...

Teacher resource

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.

Teacher resource

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 Resource

Percentage discounts

This is a five-page HTML resource about solving problems concerning percentage discounts. It contains five questions and two videos. The resource discusses and explains solving problems with percentage discounts to reinforce students' understanding.

Interactive resource

HOTmaths: using relative frequency

Watch marbles fall from a tube, bounce through some obstacles and land in a slot. Calculate the relative frequencies for the bins the marbles land in. Explore the length of trials (number of marbles) required to predict the relative frequency for each bin.

Interactive resource

HOTmaths: exploring relative frequency

Play a laughing clown game to explore randomness. Use the data to calculate relative frequencies. Explore if it is possible to bias the results and hence make the game non-random.

Interactive resource

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 Resource

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 ...

Moving Image

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 ...

Teacher resource

Consumer and financial literacy professional learning module for teachers

This professional learning module provides up-to-date content and support in consumer and financial literacy for educators working within Australian primary and secondary schools. Part 1 presents information about consumer and financial literacy in the education landscape. Part 2 provides examples of how schools are incorporating ...

Teacher resource

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 ...

Teacher resource

Fraction action - unit of work

In this unit of work students move from working with tenths, hundredths and thousandths to relating common and decimal fractions and percentages.

Teacher resource

Connecting fractions and percentages - teacher resource

This resource is a professional learning package designed for pre-service teachers. It demonstrates and investigates the interrelated content, pedagogy and technology knowledge used in a series of mathematics lessons that focus on exploring the relationship between common fractions and percentages. The resource provides ...