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

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

Compare and order common unit fractions and locate and represent them on a number line (ACMNA102)

Elaborations
  • recognising the connection between the order of unit fractions and their denominators
General capabilities
  • Numeracy Numeracy
ScOT terms

Number lines,  Unit fractions,  Numerical order

Interactive resource

Fraction fiddle: tool

Use a tool to explore what happens when you change the numerals in a fraction. Compare two fractions and find out which is larger. For example, decide whether 4/3 is larger than 7/5. Build the two fractions. Compare the fractions on a number line. A handy tool for use on an interactive whiteboard.

Interactive Resource

Sites2See – number for primary

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

Interactive resource

Fraction fiddle: comparing unit fractions

Two kiwis each gobble up part of a worm. Identify which bird ate the most. For example, decide whether one-third (1/3) is larger than one-quarter (1/4). Build the fraction that each bird ate. Compare the fractions on a number line. Check which fraction is bigger. This learning object is one in a series of seven objects.

Interactive resource

Dynamic fractions

Use a tool to explore how to express fractions and display them in different ways. Create a grid with a number of rectangles ranging from 1 to 100 (up to a 10x10 array). Select boxes within the grid and view or enter corresponding fractions and their equivalents. Interact with a dynamic number line to express fractions ...

Teacher resource

Top drawer teachers: fractions

This is a web page that comprehensively covers the teaching of the conceptual understanding of fractions through links to six sections. The first section covers the ‘Big ideas’ behind fractions, while the second section uses research findings to identify some common misunderstandings when learning fractions. The third explores ...

Assessment resource

Kick the goal: add proper fractions 1: assessment

Test your understanding of fractions by creating pairs that would add up to a target number. Target numbers can be whole numbers or proper fractions. For example, work out what fraction to add to four-fifths to total one whole. There are six tasks to complete. View and print a report of your results. This assessment object ...

Interactive Resource

The Numberline

An interactive tool that can help students explore a number line, including points representing integers, fractions and decimals

Interactive Resource

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.

Interactive Resource

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.

Interactive Resource

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.

Interactive resource

Hopper: tenths

Help a frog to jump along a number line. Estimate the finishing point on a number line, after adding or subtracting multiples of tenths to a starting number. For example, 29.5+(12 x 0.2) = 31.9. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing spots' ...

Interactive resource

Hopper: hundredths

Help a frog to jump along a number line. Estimate the finishing point on a number line, after adding or subtracting multiples of hundredths to a starting number. For example, 1.72 + (11 x 0.07) = 2.49. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing ...

Interactive resource

Scale matters: tenths

Explore the use of scale on a number line. Select a ruler displaying a helpful scale such as tenths. Look at a pair of numbers such as 29.7 and 30.2 marked on a number line. Identify the number corresponding to another point. Or locate another point on the number line to complete a series of three numbers. Apply a marked ...

Tablet friendly (Interactive resource)

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 resource

Wishball: tenths

Test your understanding of decimal place value with numbers that include tenths. Receive a starting number, such as 128.9, and work towards turning it into a target number, such as 845.6. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. ...

Interactive resource

Wishball challenge: 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 use the given operation (either addition or subtraction) on your starting ...

Interactive resource

Scale matters: hundredths

Explore the use of scale on a number line. Select a ruler displaying a helpful scale such as hundredths. Look at a pair of numbers such as 8.97 and 9.12 marked on a number line. Identify the number corresponding to another point. Or locate another point on the number line to complete a series of three numbers. Apply a marked ...

Collection

Mixed-Up Maths

Join our host, Ed, as he finds himself in all types of situations where only his knowledge of Maths can help him. From saving the planet from Aliens, to creating a superhero that can stop a strawberry milkshake tidal wave. From searching for buried treasure, to jumping like a daredevil, or planning the greatest circus party ...

Interactive resource

Hopper: whole numbers

Help a frog to jump along a number line. Estimate the finishing point on a number line, after adding or subtracting multiples of whole numbers to a starting number. For example, 255+(10 x 4) = 295. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing spots' ...

Interactive resource

Hopper challenge: whole numbers

Help a frog to jump along a number line. Estimate the exact finishing point on a number line, after adding or subtracting multiples of whole numbers to a starting number. For example, 1+ (5 x 2) = 11. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing ...