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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Café Fractions - Calculate

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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Pattern & Algebra Year 6 - Calculate

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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Inquiry Prompt Ribbon Bow - Calculate

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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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.

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Drone safety lesson: How close, how far?

This lesson provides an authentic context to develop skills of estimation and measuring length. It provides an opportunity for students to connect decimal representations to the metric system and convert from centimetres to metres, and metres to kilometres. It also provides a context to investigate and become familiar with ...

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Smart shopping

Students compare and evaluate different shopping options.

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Number: Foundation to Year 9

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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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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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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Event Planner - Calculate

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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Money Year 5 & 6 - Calculate

The focus of this activity to challenge students to apply their knowledge of the four operations to solve a problem involving money. Students also need to demonstrate their ability to explain using evidence which option is the best.

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Converting Measures Year 6 - Calculate

The focus of this activity is to find out what students know and understand about length and the metric system.

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Work Unit: Mr Moon’s feathery problem - Calculate

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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Converting Decimals Year 6 - Calculate

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

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 ...