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Mathematics / Year 6 / Number and Algebra / Fractions and decimals

Curriculum content descriptions

Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies (ACMNA127)

Elaborations
• recognising that finding one third of a quantity is the same as dividing by 3
General capabilities
• Numeracy Numeracy
• ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Simple fractions,  Multiplication

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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 ...

These seven learning activities, which focus on 'open-ended tasks' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use investigations in order ...

Cassowary fractions

Help a park ranger to arrange fencing in a wildlife sanctuary. Divide common geometric shapes into equal-sized sections for keeping cassowaries. Group the enclosures to form a quarantine zone for sick or injured birds. Then express the divisions of the enclosures as fractions. This learning object is one in a series of ...

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 ...

Fraction fiddle: matching cake fractions

Fill orders in a cake shop. Match a fraction to parts of a cake. For example, identify the fraction of a cake remaining after it has had one quarter removed. Check your prediction by making the fraction and seeing what it looks like as part of a circle. Watch the circle change as you adjust the numerals in the numerator ...

Playground percentages

Help a town planner to design two site plans for a school. Assign regions on a 10x10 grid for different uses such as a playground, canteen, car park or lawn. Calculate the percentage of the total site used for each region. Use a number line to display fractions and equivalent fractions.

The multiplier: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving complex multiplications in your head such as 22x38. Work through sample questions and instructions explaining how to use partitioning techniques. Solve multiplications by breaking them up into parts that are easy to work with, use ...

The array

Use an array-building tool to help solve multiplications. Explore strategies to break up multiplications. Create and solve easy multiplications such as 9x3. Examine relationships between rows, columns and areas in arrays.

Decimaster: match-up 1

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on an area representation and a common fraction. Match three decimals with each tool.

Double that number

Explore an age-old multiplication method that repeatedly doubles numbers to get a product. Learn how this ancient method of multiplication is similar to that used by modern computers.

What is a fractal?

Do you know what a fractal is? Basically, fractals are never-ending patterns created by repeated mathematical equations. In this clip, Yuliya, a student at MIT (in the USA) describes the properties of fractals and shows you where they can be found in technology and nature. Have a good look at the world around you and see ...

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.

Number line, by the Math Learning Centre - iTunes app

Use a virtual number line to visualise number sequences and to represent and solve addition, subtraction, multiplication and division problems. Free when reviewed on 12/5/2015.

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.

Prime number keys

Have you ever wondered how modern day encryption works? How are messages and financial transactions kept hidden from cyber criminals and hackers? Listen to reporter Ruben Meerman and mathematician Simon Pampena discuss the largest prime number ever found and how prime numbers are used to encrypt electronic information.

Prime numbers and unbreakable codes

Imagine if anyone was able to read all our secret, encrypted messages and information. Watch and find out how scientists at the Australian National University are developing a new encryption system using quantum physics and quantum computing.

What are factors?

What are factors? Watch as the jelly babies in this clip show you! What are the factors of 12? How many factors does the number 11 have? Try explaining to a friend what a prime number is.

Equivalent fractions - Google Play 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.

Red dragonfly challenge - iTunes app

This is an English adaptation of a classic book on Japanese mathematics problem solving. Use this resource on an interactive whiteboard and present the activities for the class to complete or use at home to discuss problem solving strategies. The app itself offers limited interactivity apart from navigating the problems ...

Virtual manipulatives - iTunes app

Explore the relationship between equivalent fractions, decimals and percentages. This resource has great application for use on an interactive whitebaord or at home as a family maths focus. Annotate and save your work to your device. Free when reviewed on 12/5/2015.