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

Text

Fractions

This is a website designed for both teachers and students that addresses components of the arithmetic of fractions. It is particularly relevant for comparison and addition and subtraction of fractions with related denominators. It also contains material on finding a fraction of a quantity where the result is a whole number. ...

Interactive

Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

Online

Paying It Forward Years 5-6

This is a cross-curricular unit about the values that underpin Australia’s democracy, the freedoms they enjoy and their role and the role of the government as duty bearers of rights. Students learn to appreciate the role of volunteers and Australia’s three levels of government in supporting the community. Students will ...

Downloadable

Owning a pet

This lesson asks students to explore statistics about pet ownership in Australia and the cost of buying and maintaining a pet. During the activities, students are asked to gather and compare data about pets in Australia using trusted information sources such as the RSPCA. They go on to consider the costs and benefits of ...

Online

Fractions, decimals and percentages: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Fractions, decimals and percentages. Students use their knowledge of percentage and decimal equivalents to calculate percentage discounts.

Online

When I post something online how permanent is it?

Students engage in a photo rip up activity to emphasize the permanency of online information, they explore factor trees, doubling and line graphs through the lens of sharing information, and they collaboratively develop a set of protocols around sharing information online.

Online

Mathematical modelling: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Mathematical modelling. Students use mathematical modelling to solve practical problems involving natural and rational numbers and percentages, including in financial contexts. They formulate the problem, choose operations and efficient calculation strategies, and use ...

Downloadable

Smart shopping

Students compare and evaluate different shopping options.

Video

AERO Ochre Maths Year 6 Unit 1 - Integers and decimals

This sequence of 10 lessons will enable students to understand seven-digit numbers as well as integers and decimals.

Text

Work sample Year 6 Mathematics: Fundraiser

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 6 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

Downloadable

Buy me!

In this lesson students learn about how advertising can influence consumers. This cross-curricular lesson aims for students to identify persuasive techniques, recognise gimmicks and how they work, investigate the influence of advertising on consumer choice, develop creative thinking, explore creative and persuasive writing ...

Video

MathXplosion, Ep 1: Magic 9s

Follow these simple calculations to illustrate the special properties of the number 9. Pick your favourite number between 1 and 9 and multiply that number by 3. Add 3 to your answer. Multiply the result by 3. Treat your two-digit answer as two separate numbers and add them together. No matter what number you pick to start ...

Online

Home energy use

Reducing carbon dioxide emissions and sustainable energy use and are two of the major issues facing the world today. This project explores energy use in homes, and compares individual energy use with the class average and calculate and graph CO2 emissions.

Video

Decimals and fractions

This is a video demonstration of converting decimal fractions to simplified fractions. In the commentary, the presenter highlights the relevance of understanding and applying place value concepts, including the efficiency in initially interpreting the fractional part of the decimal fraction as a single fraction. Practice ...

Interactive

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.

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 ...

Video

MathXplosion, Ep 6: Zero the hero

What is the role of zero as a placeholder for large numbers such as 1 million, 1 billion and 1 trillion? Find out about the notion of place value and powers of ten through the act of bead counting.

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.

Audio

Self Improvement Wednesday: The beauty of prime numbers

A prime number is a number that only has two factors: one and itself. Listen to Adam Spencer and Richard Glover discussing prime numbers. They cover how we define these numbers and how and why prime numbers are widely used in internet encryption.

Video

Patterns, primes and Pascal's Triangle

Are you intrigued by patterns? Check out Vi Hart as she explains how to visualise patterns in prime numbers, using Ulam's Spiral. Watch as Vi creates patterns, using Pascal's Triangle to explore relationships in number. See what happens when she circles the odd numbers. What rule does she use to create the final pattern?