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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

Compare, order and represent decimals (ACMNA105)

Elaborations
  • locating decimals on a number line
General capabilities
  • Numeracy Numeracy
ScOT terms

Decimals,  Numerical order

Interactive

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.

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

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

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 ...

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.

Video

Maths Years F-1 with Miss James: Addition using a number line

In this lesson, Miss James teaches you the valuable “counting on” strategy to help you solve tricky addition problems. She demonstrates how to use a number line correctly, and she provides opportunities for you to have a go at home.

Video

Maths Years F-1 with Miss James: Subtraction using a number line

In this lesson, Miss James teaches you the valuable “counting back” strategy to help you solve tricky subtraction problems. She demonstrates how to use a number line correctly, and she provides opportunities for you to have a go at home.

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

Funny money

What do you use money to buy? In this clip we look at Australian money. See the different coins and notes that make up our money system. We investigate if size, (in coins) does matter. Check out how many 5 cent pieces you need to make two dollars. We also look at some currencies used around the world. Find out which country ...

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

Count the amazing flying machines

Do you want to fly like a bird? How would you do that? See eight strange flying machines from the past. Watch to see if they fly or crash. Count along with each flying machine, from one to eight. The name of each number is on the screen to help you.

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

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?

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 ...

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 ...

Online

reSolve: Authentic Problems: Tea Party

This sequence of four lessons presents a purposeful context for counting using the context of planning a tea party. Students consider items required for a small party, draw and count the items and then extend this to a larger party for the whole class. Each lesson is outlined in detail including curriculum links, vocabulary, ...

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 ...

Online

reSolve: Authentic Problems: 10000 Centicubes

This sequence of four lessons integrates content in number and measurement to deepen students' understanding and confidence working with larger numbers. Students work flexibly with numbers up to 10 000 as they determine suitable dimensions for a container that can hold 10 000 centicubes. They are challenged to plan, construct ...