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

Curriculum content descriptions

Make connections between equivalent fractions, decimals and percentages (ACMNA131)

Elaborations
  • connecting fractions, decimals and percentages as different representations of the same number, moving fluently between representations and choosing the appropriate one for the problem being solved
General capabilities
  • Numeracy Numeracy
ScOT terms

Percentages,  Decimals,  Equivalent fractions

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Mathematical modelling: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Mathematical modelling. Students use mathematical modelling to solve practical problems involving natural and rational numbers and percentages, including in financial contexts. They formulate the problem, choose operations and efficient calculation strategies, and use ...

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AERO Ochre Maths Year 6 Unit 2 - Fractions

This sequence of 10 lessons teaches students about fractions, and their relationship with whole numbers and decimals.

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Work sample Year 6 Mathematics: Fundraiser

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 6 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Fractions, decimals and percentages: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Fractions, decimals and percentages. Students use their knowledge of percentage and decimal equivalents to calculate percentage discounts.

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BTN: What is the GST?

The Goods and Services Tax (GST) is a tax placed on things people buy with money or things people do for money. Can you name some goods and services that have GST? What about some goods and services that don't have GST? Find out when and why the GST was first introduced.

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Percentage discounts

This is a website designed for both teachers and students that refers to making connections between percentages, decimals and fractions, as well as calculating percentages and percentage discounts from the Australian Curriculum for year 6 students. It contains material on calculating percentages of an amount and calculating ...

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Connecting fractions, decimals and percentages

This is a website designed for both teachers and students that addresses the connections between fractions, decimals and percentages from the Australian Curriculum for year 6 students. It contains material on the relationship between fractions, decimals and percentages and helps students understand that although there are ...

Online

Fractions: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Fractions. Students develop increasingly efficient strategies for adding and subtracting fractions with related and unrelated denominators. They develop conceptual understanding by being given opportunities to estimate before computation and justify their thinking. They ...

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Mixed Up Maths, Ep 12: Super Cyril's circus supplies

Do you know how to draw up a budget? Find out how it's done. In our example our host is throwing a circus party and has $100 to spend. See how he plans to spend the money. Throw in a few discounts of 10% and 50% and look what he can afford. Does he mange to stick to his budget?

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Catalyst: 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.

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What is a quarter?

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 tasks: metric units and relationship to decimals

Use the diagnostic tasks, Page sections and Decimals and measures, to assess a student’s understanding of metric units and their relationship to decimals.

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Work sample Year 6 Mathematics: How tall?

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 6 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Multiplying and dividing decimals

Learn how to multiply and divide decimals by 100. Based on this video, see if you can work out how to multiply and divide decimals by 10 and 1000. What do you get if you multiply 0.375 by 10?

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First steps in mathematics: Number – Book 1

The content of this book is organised into topics including understanding whole and decimal numbers, and understanding fractional numbers.

Downloadable

Operations: Foundation to Year 9

This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.

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Decimal fractions video

Use this video to explore decimal fractions, how they are represented and how we use them in day-to-day contexts.

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Adding decimals

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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Decimals and fractions

This is a video demonstration of converting decimal fractions to simplified fractions. In the commentary, the presenter highlights the relevance of understanding and applying place value concepts, including the efficiency in initially interpreting the fractional part of the decimal fraction as a single fraction. Practice ...

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Subtracting decimals

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, ...