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Fractions

F_GT_T1_E1_fig2

A circle missing one quarter.

Diagram to prompt visualisation of the whole.

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Line from zero to one divided into fifths, labelled at the end of the interval. Another line from zero to one divided into fifths, labelled in the centre of the interval. Second line incorrect.

Correctly labelling number lines.

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Fraction cards pegged to a rope to show intervals of quarters between zero and five quarters. Four quarters is also marked as 1.

Quarters pegged on a rope.

F_GT_T1_E2_A2_fig1

One bird with half of a worm, another bird with a quarter of a worm. The fractions compared on a number line to find which is smaller.

Screen grab from L2802 Fraction fiddle: comparing unit fractions.
Source: © Education Services Australia Ltd, 2011

F_GT_T2_E1_A1_eq1.svg

three quarters of 20 equals 15 or one fifth of 20 equals 4

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Two dice, one die displaying 1/4 and the other 5. One set of 5 cubes in one colour, three sets of 5 cubes in another colour to make a total of 20.

Example: One quarter of my collection is 5 so altogether I have __

F_GT_T2_E1_A1_fig2

Diagrammatic explanation of the problem posed with calculations and written responses.

Student work sample

F_GT_T2_E1_A2_fig1

The equal division of 17 biscuits to 3 puppies, each receiving 5 2/3.

Screen grab from L2808 Divide it up: puppies.
Source: © Education Services Australia Ltd, 2011

F_GT_T2_E1_eq1

three times four equals twelve, twelve divided by three equals four, one third of twelve equals four

F_GT_T2_E1_eq2

three times four equals twelve, twelve divided by three equals four, one third of twelve equals four

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