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

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

Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA126)

Elaborations
  • understanding the processes for adding and subtracting fractions with related denominators and fractions as an operator, in preparation for calculating with all fractions
  • solving realistic additive (addition and subtraction) problems involving fractions to develop understanding of equivalent fractions and the use of fractions as operators
  • modelling and solving additive problems involving fractions by using methods such as jumps on a number line, or by making diagrams of fractions as parts of shapes
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Subtraction,  Addition,  Related denominators

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Year level 5-6
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Learning area Mathematics

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12 direct matches to ACMNA126

Interactive Resource

Sites2See – number for primary

  • TLF-IDM016278

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

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Tablet friendly (Interactive resource)

Fraction fiddle: hit the apple

  • TLF-IDL2804

Help an archer to hit an apple with his arrow. Build two fractions to make a total of one whole. Complete the numerators of both fractions (they may have fixed denominators). For example, work out how many quarters and how many eighths can be added together to total one whole. Look at fraction bars and a number line to ...

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Interactive resource

Fraction fiddle: reach the target

  • TLF-IDL2806

Help a boy to hit a bullseye with his paper plane. Build two fractions that add up to a target number up to two. Complete the numerators of both fractions (one may have a fixed denominator). For example, work out how many thirds and how many sixths can be added together to total 4/3. Look at fraction bars and a number line ...

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Interactive resource

Fraction fiddle: shoot the hoop

  • TLF-IDL2805

Help a girl to throw her ball through a hoop. Build two fractions to make a total of one whole. Complete the denominator of a fraction (at least one fraction may have a fixed numerator). For example, work out how many tenths can be added to three-fifths to total one whole. Look at fraction bars and a number line to compare ...

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Assessment resource

Kick the goal: add proper fractions 1: assessment

  • TLF-IDL9811

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 ...

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Assessment resource

Kick the goal: add improper fractions 2: assessment

  • TLF-IDL10288

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 ...

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Moving Image

What is a quarter?

  • TLF-IDM020240

What is a quarter? You get quarters when you divide a whole into four equal parts. Each one of these four parts is a quarter. Watch this great explainer produced by Monique in collaboration with ABC Splash and see how she explains quarters.

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Assessment resource

Kick the goal: add proper fractions 2: assessment

  • TLF-IDL10287

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 how many twelfths to add to three-eighths to total seven-eighths. There are eight tasks to complete. View and print a report of your results. This assessment ...

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Moving Image

Fractions in the real world

  • TLF-IDM020296

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.

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Assessment resource

Kick the goal: add improper fractions 1: assessment

  • TLF-IDL9812

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 ninths and how many thirds to add together to reach twelve-ninths. There are six tasks to complete. View and print a report ...

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Text

Fractions

  • TLF-IDM012841

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. ...

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Teacher resource

Top drawer teachers: fractions

  • TLF-IDM013919

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 ...

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Interactive resource

Wishball: tournament

  • TLF-IDL8460

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 ...

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Tablet friendly (Interactive resource)

Wishball: hundredths

  • TLF-IDL869

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. ...

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Interactive resource

Wishball challenge: hundredths

  • TLF-IDL873

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 ...

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Interactive resource

Wishball challenge: tenths

  • TLF-IDL872

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 use the given operation (either addition or subtraction) on your starting number. ...

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Interactive Resource

Summing Decimals

  • TLF-IDM016558

An interactive resource in which students learn how to add and subtract numbers that have up to two decimal places.

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Teacher resource

Decimals

  • TLF-IDM013356

This is a website designed for teachers and students in year 5, and addresses components of the working with decimals topic. It is particularly relevant for comparison, addition, subtraction, multiplication and division with decimals. There are pages for both teachers and students. The student pages contain interactive ...

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Moving Image

Adding decimals

  • TLF-IDM011494

This is a video demonstration, with audio commentary, of the procedure of adding decimal fractions. In the commentary, the presenter emphasises the links with the underpinning concepts of place value. Practice questions, limited to addition of decimal fractions involving tenths and hundredths, are presented with answers, ...

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Moving Image

Subtracting decimals

  • TLF-IDM011495

This is a video demonstration, with audio commentary, of the procedure for pen-and-paper subtraction of decimal fractions. In the commentary, the presenter emphasises the links with the underpinning concepts of place value. Practice questions, limited to subtraction of decimal fractions involving tenths and hundredths, ...

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Collection

Mixed-Up Maths

  • TLF-IDM019368

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 ...

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Interactive resource

Wishball: tenths

  • TLF-IDL868

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. ...

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