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Fractions

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Game board showing one completely coloured fraction wall and one partially coloured fraction wall, and a completed record of the rolls and the colourings made.

A completed game.

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Number line marked with sixths below the line and thirds above the line to show equivalence.

Visualising equivalent fractions.

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Selection of grid transparencies with one pair overlaid and equivalent fractions recorded.

Use of overlay templates.

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Sample of a 4 by 3 grid with four parts shaded. The equivalent fractions 4/12 and 1/3 are recorded.

Screen grab from L134 Dynamic fractions.
Source: © Education Services Australia Ltd, 2011 

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Rectangle divided into thirds horizontally. Top layer divided into halves vertically, second into thirds, last into sixths.

A fraction wall.

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Two equally sized squares, first divided into halves vertically, second into thirds horizontally, then combined to show sixths.

Combining grids.

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Three circles, one divided into halves, one into quarters, one into eighths.

Subdividing with related denominators.

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Number line between 0 and 1,divided into eighths, showing ‘jumps’ from 0 to 4/8 then a further 3/8 to 7/8.

Student work sample showing addition of fractions with related denominators.

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The addition of 1/6 and 5/6 to reach the target of 1, shown with fraction bars and a number line.

A screen grab from L2804 Fraction fiddle: hit the apple.
Source: © Education Services Australia Ltd, 2011 

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Examples of addition and subtraction of fractions with related denominators using grids and number lines

Student work sample.

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