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

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.

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

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 ...

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 ...

Interactive Resource

Greater than half?: balloon pop game

This is an interactive game that requires students to solve a variety of problems involving all four operations and to identify if the solution is greater than half. The student is presented with problems to be solved involving integers, fractions, decimals and percentages. If the solution is greater than half, the student ...

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 ...

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.

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.

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 ...

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. ...

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. ...

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. ...

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

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: 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

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

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 ...

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 ...

Interactive Resource

Fractions

This Android app is a mathematical game that tests the user's ability to identify equalities among fractions, percentages, integers and arithmetic expressions involving addition or subtraction. At the start of the game a grid of 2x2, 3x3 or 4x4 squares is randomly generated. Each side of the squares is labelled with a mathematical ...

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

Fractions into percentages and decimals

Know how to change a fraction into a decimal? In these examples we'll show you two different methods. One method is to change the fraction into an equivalent fraction with a denominator of 10, which makes it easy to work out the decimal. The other method involves division. Also find out how to change a fraction to a percentage. ...

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

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 ...