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Listed under:  Mathematics  >  Number (Mathematics)  >  Proportions  >  Simple fractions
Online

Practical numbers: Part 1

  • TLF-IDA003485

In this lesson, students explore standardised measuring systems. They encounter the challenge of a shopkeeper who must determine how to weigh different quantities of spices most efficiently. Working in a financial context, students model this scenario using fractions, percentages and ratios, and communicate their solution ...

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Online

Practical numbers: Part 2

  • TLF-IDA003495

In this lesson we use the context of an ancient bazaar to investigate measurement systems. Students select a name and base number for their system of measurement, using weights made from clay or similar material. They divide their clay into possible unit fractions to generate their set of weights. They assign a fictional ...

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Downloadable

Can you beat the system?

  • TLF-IDA003659

In this lesson, students calculate the average expected value of losses on a roulette wheel over time, and use these values to analyse the cost of gambling on these games. They also study the flaws inherent in betting systems to determine whether these systems are weighted in the favour of game operators making a profit. ...

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Downloadable

The wide wide world of sports betting

  • TLF-IDA003660

This lesson explores the difference between perfectly predictable events (like the roll of a die) and less certain events (such as sports). Students investigate mathematically how sports bookmakers create odds to guarantee themselves a profit and pay gamblers less for a win than they deserve. The lesson is outlined in ...

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Video

Proportional reasoning video

  • TLF-IDA003310

Use this video as a springboard to explore scaling or proportional thinking, and to apply that thinking in a food context, drawing on reasoning and mathematical modelling.

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Downloadable

Number: Foundation to Year 9

  • TLF-IDA003566

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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Downloadable

Operations: Foundation to Year 9

  • TLF-IDA003569

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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Online

All operations: Year 7 – planning tool

  • TLF-IDA003262

This planning resource for Year 7 is for the topic of All operations. Students use all operations with positive rational numbers and to choose the most appropriate and efficient approach when solving a variety of problems.

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Text

Café Fractions - Calculate

  • TLF-IDA004362

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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Text

Mixing Lemonade

  • TLF-IDM020742

This resource is a web page containing an interactive task to explore ratios and proportions. Compare different mixtures of lemonade and develop a strategy for deciding which is stronger each time. The task requires students to apply their understanding of ratio and proportions. A 'Getting started' page, 'Solution' and ...

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Text

Addition and subtraction of fractions

  • TLF-IDM012844

This is a website designed for both teachers and students that addresses addition and subtraction of fractions. There are pages for both teachers and students. The student pages contain interactive questions for students to check their progress in the topics.

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Online

Multiplication and division of decimals

  • TLF-IDM014345

This is a website designed for both teachers and students that addresses multiplication and division of decimals from the Australian Curriculum for year 7 students. It contains material on multiplication and division of decimals and helps students to understand multiplication and division as inverses of each other. There ...

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Online

Equivalent fractions and the use of the number line

  • TLF-IDM014343

This is a website designed for both teachers and students that addresses equivalent fractions from the Australian Curriculum for year 7 students. It contains material on equivalent fractions, and explains how equivalence can be demonstrated on the number line. There are pages for both teachers and students. The student ...

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Online

Expressing one quantity as a fraction of a second

  • TLF-IDM014350

This is a website designed for both teachers and students that addresses the expression of one quantity as a fraction of a second quantity from the Australian Curriculum for year 7 students. It contains material on using the unitary method to solve fraction problems. There are pages for both teachers and students. The student ...

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Text

Imperial pie

  • TLF-IDM008994

This activity involves making a cake using a recipe in which the quantities of the ingredients required are measured using a variety of imperial units. To complete the recipe, students need to convert the imperial units to metric units in order to be able to use their metric measuring instruments. The activity serves to ...

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Text

BBC Bitesize: fractions - revision

  • TLF-IDM010511

This is a set of information sheets dealing with fraction concepts, terminology and calculations. Students are presented with practice questions and have access to a short test to assess their learning. This resource is one of a series of online resources from the BBC's Bitesize collection.

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Online

Multiplication and division of fractions

  • TLF-IDM014344

This is a website designed for both teachers and students that addresses multiplication and division of fractions from the Australian Curriculum for year 7 students. It contains material on multiplication and division of fractions and explains how to deal with whole numbers and mixed numbers when multiplying and dividing ...

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