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

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

Compare fractions with related denominators and locate and represent them on a number line (ACMNA125)

Elaborations
  • demonstrating equivalence between fractions using drawings and models
General capabilities
  • Numeracy Numeracy
ScOT terms

Number lines,  Related denominators

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Year level 5-6
Resource type
Learning area Mathematics
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

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 ...

Interactive resource

Design your own park

Help a town planner to design a site plan for a park. Set the site dimensions to make a grid. Assign regions on the grid for different uses such as picnic tables, swings, sandpits or ponds. Use this tool to explore how to express fractions and display them in different ways. Select boxes within the grid and view or enter ...

Interactive Resource

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 ...

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 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 - 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

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.

Assessment resource

Kick the goal: add improper fractions 2: assessment

Test your understanding of fractions by creating pairs that would add up to a target number. Target numbers can be whole numbers, mixed numbers or improper fractions. For example, work out how many eighths to add to five-fourths to reach one and three-quarters. There are eight tasks to complete. View and print a report ...

Tablet friendly (Interactive resource)

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.

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

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

Hopper challenge: tenths

Help a frog to jump along a number line. Estimate the exact 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 ...

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: tournament

Challenge your understanding of place value in whole numbers and decimal fractions, from 0.001 to 9999. Either add or subtract numbers to reach a target number. For example, receive a starting number of 39.61. Spin the number 5 and decide whether to add or subtract 0.05, 0.5, 5 or 50 to reach your target number of 70.12 ...

Interactive resource

Design a school

Help a town planner to design a site plan for a school. Using a 10x10 grid, design areas for four regions (library, car park, lawn and canteen) based on the percentages given. Assign the area for an additional two regions, using percentages of your choice. Use a number line to indicate the equivalent fractions for two regions. ...

Tablet friendly (Interactive resource)

Rainforest: make a walking track

Mark the route for a walking track on a map of a rainforest. Choose a section of track based on instructions about distances, compass directions and grid references. Keep adding sections of track to get to the rest house. As you go, look up the meaning of tricky words.

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

Journey planner: quickest route 2

Help two children travel around town. Look at a map, then check bus and train timetables. Choose the fastest route. Notice that you may need to change between train or bus lines to achieve the best result. This learning object is the second in a series of four objects that progressively increase in difficulty.