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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

Interactive

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 ...

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.

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

Maths Years 3–4 with Ms Kirszman: Find missing numbers on a number line

In this lesson, Ms Kirszman tells you about a very robust and interesting debate that took place with her class when the students needed to find some missing information on a number line. You'll use fractions, paper folding and fifthing to work out where you lie in this great debate.

Video

What is the GST?

The Goods and Services Tax (GST) is a tax placed on things people buy with money or things people do for money. Can you name some goods and services that have GST? What about some goods and services that don't have GST? Find out when and why the GST was first introduced.

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

Fractions in the real world

How many quarters make up a whole? Watch this video to find out how else you can represent 2/4 and how to add up quarters to make a whole.

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

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.

Video

Decimal multiplication: petrol prices

Petrol for our cars is made from crude oil. The price of crude oil is constantly changing. This affects the price of petrol at the pump. Listen to Natasha Thiele explain how and why the price of petrol keeps changing. This clip provides context for decimal multiplication.

Video

Calculate your compost

Watch this clip and learn how to make the best use of your fruit and vegie scraps. What are the three uses Costa suggests? JP Williamson says that, on average, households produce 2.3kg of compostable food waste per week. Can you use this figure to calculate how much food waste your street produces each week? Using your ...

Video

What is a quarter?

What is a quarter? You get quarters when you divide a whole into four equal parts. Each one of these four parts is a quarter. Watch this great explainer produced by Monique in collaboration with ABC Splash and see how she explains quarters.

Video

Ordinal number: first through to sixth

Dodly and Flynn explore counting with ordinal numbers from first through to sixth. Investigate the order of ice-cream on an ice-cream cone, sheep being shorn and playing 'pass the parcel'. Where did the missing birthday cake go? Could it be the prize in pass the parcel?

Video

Super Cyril's circus supplies

Do you know how to draw up a budget? Find out how it's done. In our example our host is throwing a circus party and has $100 to spend. See how he plans to spend the money. Throw in a few discounts of 10% and 50% and look what he can afford. Does he mange to stick to his budget?

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 ...

Interactive

Equivalent fractions pointer

This is an interactive resource about fractions. It presents students with a fraction and its equivalent visual representations as both the shaded portion of a shape and as the location on a number line. Students are also presented with two other empty shapes, and are required to divide each blank shape into equal portions ...

Text

Six Notes All Nice Ratios

This resource is a web page containing a short task to explore ratio and fractions. The task is based on the Pythagoreans discovery that simple ratios of string length made nice sounds together. A 'Getting started' page, printable resource and solution is also available to support the task.This resource is an activity ...

Interactive

Fraction basics - Easy & Effective Fractions Tutor - iTunes app

Learn about the core concepts of fractions through 12 animated clips. View the clips on the topic that you want to learn about. These clips will help build a string foundation in fractions. Free when reviewed on 12/5/2015.

Online

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 ...

Interactive

Equivalent fractions - iTunes app

Create equivalent fractions by dividing squares and circles, match a fraction's location on a number line. Equivalent fractions are displayed in a table to help identify patterns. Use the 'build your own' feature to further explore equivalent fractions. Free when reviewed on 12/5/2015.