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

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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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4 direct matches to ACMNA131 | 16 other related resources
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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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Café Fractions - Calculate

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In this task, students take the role of the owner of a cake wholesaler, baking and supplying cakes to local café businesses. As café owners order their weekly cakes by the slice, students are required to add unit fractions together to calculate total cake orders. They then solve problems associated with subtracting fractional ...

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Inquiry Prompt Ribbon Bow - Calculate

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This open-ended task challenges students to carry out a mathematical investigation using a ribbon-bow as a stimulus. They are encouraged to develop their own research questions and investigate possible solutions using using mathematical problem solving and modelling strategies.

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Pattern & Algebra Year 6 - Calculate

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The focus of this activity to challenge students to unpack a rule and see if it is being used correctly. Often students will just learn a rule and blindly use it. This task gets students to stop and think and then make corrections to ensure the rule works in all cases (generalise).

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Video

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

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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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Video

Adding decimals

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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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Video

Subtracting decimals

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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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Video

What is a quarter?

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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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Video

Fractions in the real world

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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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Catalyst: Small scale measurements

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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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Decimals and fractions

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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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'Mission to Mars' - An AMSI Schools 'Rich Task' in Number & Place Value - Calculate

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This task aims provide a rich, contextual activity through which students can gain an understanding of the distances relevant to the size of our solar system, and how an understanding of place value, metric measurement systems and time measurement can be used to represent these large distances and convert calculations ...

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Decimal fractions video

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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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Downloadable

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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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Assessment tasks: metric units and relationship to decimals

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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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Number: Foundation to Year 9

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This comprehensive resource describes the progression of number-related ideas showing the relationship to other curriculum strands. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in number including teaching and cultural implications.

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Converting Decimals Year 6 - Calculate

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This task introduces students to a practical situation that involves multiplying and dividing decimals by powers of 10. We want students to focus to use what they know about the measurement in order to explain how to convert them, rather than simply applying a procedure.

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This investigative project gives students the experience of being a professional ‘event planner’, by organising a special event such as a wedding reception, farewell or special birthday party. Students are asked to prepare a comprehensive plan that outlines a floor and seating plan, a fully costed menu, a monetary quote ...

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Work Unit: Mr Moon’s feathery problem - Calculate

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This unit of work provides a rich, contextual activity through which students can explore the applications of measurement (length, area and capacity), to a real problem in an everyday context for Students in Years 5 & 6.

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Video

Multiplying and dividing decimals

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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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