Mathematics / Year 8 / Number and Algebra / Real numbers

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

Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies (ACMNA187)

  • using percentages to solve problems, including those involving mark-ups, discounts,and GST
  • using percentages to calculate population increases and decreases
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms


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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.

Teacher resource

Number talks

Use these tasks and resources to provide opportunities for students to explain mental strategies for performing calculations. Present a number of mathematical statements for students to investigate whether they are true or false. As a further challenge include statements about percentages and improper fractions.

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.

Interactive Resource

Solving problems with percentages

This is a four-page HTML resource about solving problems concerning percentage change. It contains two videos and nine questions, seven of which are interactive. The resource discusses and explains solving problems with percentage change to reinforce the students' understanding.

Interactive Resource

Percentage change

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

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. ...

Moving Image

Calculating ratios and percentage: gold price

Gold is a very precious metal. Listen to reporter Natasha Thiele explain how gold became so valuable and why the price of gold fluctuates. Find out how the ratio of dollar value per unit weight is used to calculate the value of an amount of gold. This clip provides a context to calculate ratios and percentage.

Teacher resource

MoneySmart: How can we access money overseas?

This is a year 8 mathematics unit of work about converting currency, accessing money overseas and bartering to acquire goods. Intended to take about ten hours, the unit consists of five sets of student tasks supported by teacher notes. Tasks include calculating the costs of converting Australian dollars to Japanese yen ...

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

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.

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


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

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

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 ...

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

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 ...

Teacher resource

Using 'Fraction action' - Teacher idea

This Teacher idea recounts the experiences of using R11475 'Fraction action - unit of work' with four year 7 classes. The focus was on students understanding the interchangeable relationship between common fractions, decimal fractions and percentages.