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Mathematics / Year 5 / Number and Algebra / Fractions and decimals

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

Recognise that the place value system can be extended beyond hundredths (ACMNA104)

Elaborations
  • using knowledge of place value and division by 10 to extend the number system to thousandths and beyond
  • recognising the equivalence of one thousandths and 0.001
General capabilities
  • Numeracy Numeracy
ScOT terms

Place value,  Decimals

Interactive

Wishball: hundredths

Test your understanding of decimal place value with numbers that include hundredths. Receive a starting number, such as 46.87, and work towards turning it into a target number, such as 85.32. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. ...

Interactive

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.

Interactive

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 ...

Video

Importance of zero

How important is zero in place value? How would you write '50' if there was no zero?

Video

Maths Years 3 - 4 with Ms Kirszman: Partitioning numbers using efficient strategies

In this lesson, you will continue to partition numbers in standard and non-standard ways. You'll also explore how the same problem can be solved in many ways, and you'll be challenged to find other ways to solve problems and to discover which strategies are most efficient.

Video

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

How to communicate numbers with Roman numerals

Explore an alternative way to communicate numbers using the anchor numbers 5 and 10 and the ancient Roman counting system based on letters. Roman numerals were used throughout Europe well into the middle ages and still appear in the names of monarchs, the production year of films, on buildings and on timepieces.

Video

Maths Years 3 - 4 with Ms Kirszman: Quantifying collections

In this lesson, Ms Kirszman teaches you how to play Minute To Win It, and she explores how we can quantify collections without needing to count but by looking and thinking instead. The use of familiar structures to help you quantify collections is also explored, for example, dice patterns and ten-frames.

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

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

Maths Years 3 - 4 with Ms Kirszman: Our place value system

In this lesson, Ms Kirszman demonstrates how to measure using 10 as a unit to iterate – rather than using a smaller unit. You will also explore how renaming, using place value parts, can help you when working with numbers. The place value number system will be looked at in some depth, as well as the importance of the periods ...

Video

Kids who code will rule the world

We all use computers, but how many people know how to write the code that makes computer programs work? The skill of computer programming is becoming increasingly important in our world. Find out how easy it is to learn to code.

Video

What is an abacus?

An abacus is a tool that helps people solve maths problems. Why might some people still use, and encourage the use of, an abacus when there are more contemporary tools like calculators?

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

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 ...

Online

Number trains: patterns: assessment: teacher guide

Use this resource with 'Number trains: patterns: assessment' (L8275). First, see a profile of that assessment object, which gives you some helpful background information. Then follow clear guidelines on the interpretation of student input and counting skills as demonstrated in the pathways presented to the student in the ...

Interactive

Number rack, by the Math Learning Centre - iTunes app

Addition and subtraction using an interactive bread frame. Encourages the use of different strategies to solve addition and subtraction problems. Drawing tools enables students to annotate work to show their understanding. Write equations with the text tool. Free when reviewed on 12/5/2015.

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

Laptop wrap – colour by numbers

A page with a focus on binary and hexadecimal numbers and their relationship to colour displays. Contains supporting activities and links to resources.