Mathematics / Year 5 / Number

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Curriculum content descriptions

compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line (AC9M5N03)

Elaborations
  • using pattern blocks to represent equivalent fractions; selecting one block or a combination of blocks to represent one whole, and making a design with shapes; recording the fractions to justify the total
  • creating a fraction wall from paper tape to model and compare a range of different fractions with related denominators; using the model to play fraction wall games
  • connecting a fraction wall model and a number line model of fractions to say how they are the same and how they are different; for example, explaining \(\frac14\) on a fraction wall represents the area of one-quarter of the whole while on the number line \(\frac14\) is identified as a point that is one-quarter of the distance between zero and one
  • using an understanding of factors and multiples as well as equivalence to recognise efficient methods for the location of fractions with related denominators on parallel number lines; for example, explaining on parallel number lines that \(\frac2{10}\) is located at the same position on a parallel number line as \(\frac15\) because \(\frac15\) is equivalent to \(\frac2{10}\)
  • converting between mixed numerals and improper fractions to assist with locating them on a number line
General capabilities
  • Numeracy Numeracy
ScOT terms

Related denominators,  Number lines,  Mixed numbers,  Factors

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        Downloadable

        Number: Foundation to Year 9

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        First steps in mathematics: Number – Book 1

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

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        MoneySmart: helping out

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        Interactive

        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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        Video

        MathXplosion, Ep 6: Zero the hero

        • TLF-IDM024939

        What is the role of zero as a placeholder for large numbers such as 1 million, 1 billion and 1 trillion? Find out about the notion of place value and powers of ten through the act of bead counting.

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        Video

        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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        Video

        Numbers Count: What are factors?

        • TLF-IDM020175

        What are factors? Watch as the jelly babies in this clip show you! What are the factors of 12? How many factors does the number 11 have? Try explaining to a friend what a prime number is.

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        Video

        Musical fractions

        • TLF-IDM024909

        Break down a song by counting how long the notes are in action! Learn about patterns in rhythms and musical notes, and discover the role of fractions in denoting whole, half and quarter notes and creating distinct sounds.

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        Video

        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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        Interactive

        Sustainable transport – sustainability action process (Years 3–6)

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        Sites2See: Patterns and Algebra

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

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        Sites2See – measurement for primary

        • TLF-IDM016665

        Selected links to a range of interactive and print resources for Measurement topics in K-6 Mathematics.

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        Interactive

        Waste and materials – sustainability action process (Years 3–6)

        • TLF-IDM020974

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        Divide it up: puppies

        • TLF-IDL2808

        Use a dividing tool to make equal shares of biscuits and toys in a pet shop. For example, share 34 biscuits equally between 6 puppies. Predict how many items each puppy will get, or how many packets can be filled. Check your prediction. Decide what to do with any leftovers. Complete a sentence describing the number operations.

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        Interactive

        Divide it up: grouping tool

        • TLF-IDL2810

        Use a dividing tool to make equal shares of stationery such as pens, pencils or crayons. Complete a sentence describing a number operation. For example, pack 24 crayons into packets of 5. Predict how many packets are needed and identify how many items are left over.

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        Interactive

        The multiplier: go figure

        • TLF-IDL90

        This tutorial is suitable for use with a screen reader. It explains strategies for solving complex multiplications in your head such as 22x38. Work through sample questions and instructions explaining how to use partitioning techniques. Solve multiplications by breaking them up into parts that are easy to work with, use ...

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        Interactive

        Circus towers: square stacks

        • TLF-IDL1935

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        Interactive

        Fraction basics - Easy & Effective Fractions Tutor - iTunes app

        • TLF-IDM019613

        Learn about the core concepts of fractions through 12 animated clips. View the clips on the topic that you want to learn about. These clips will help build a string foundation in fractions. Free when reviewed on 12/5/2015.

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