Fractions

F_CM_M1_A2_fig1

Vertical number line divided into ninths used to measure the relative height of birds and a human as a fraction.

Screen grab from L119 Cassowary ecology quiz.
Source: © Education Services Australia Ltd, 2011

F_CM_M1_A2_fig2

Pictures of cassowaries in a key representing varying fractions, in order to match the area of a holding pen.

Screen grab from L155 Cassowary fractions.
Source: © Education Services Australia Ltd, 2011

F_CM_M1_E1_fig1

Six shapes, divided into sections. The first, fourth and sixth shapes each have one third shaded black, and are circled. The second has one half shaded and is also circled.

Responses to area diagram question.

F_CM_M1_E1_fig2

A rectangle with a diagonal drawn. To its right, a circle halved with a curving line from top to bottom.

Shapes showing halves but not line symmetry.

F_CM_M2_A1_fig1

Fraction bars with corresponding fractions and a comparative fraction slider.

Screen grab from L2800 Fraction fiddle: tool.
Source: © Education Services Australia Ltd, 2011 

F_CM_M2_E1_fig1

A group of shapes consisting of three stars and five squares. Question asking for the fraction of the group that are stars. Student answer is 3/5, which is incorrect.

F_CM_M2_E1_fig2

A circle divided by vertical diameter. One half divided in half again. Question asking for fractions seen. Student answer is thirds, which is incorrect.

F_CM_M2_E1_fig3

Five fraction cards, from left to right 1/2, 1/3, 1/4, 1/6, 1/8. Question asking to order from smallest to largest. Student response incorrect.

F_CM_M2_E1_fig4

Question asking ‘Which fraction is larger 7/8 or 5/6? Explain’. Student answer incorrect, ‘They are the same because both have just one more to make a whole’.

F_CM_M2_fig1

A circle divided into three equal parts radiating from the centre.

F_CM_M2_fig2

A square divided into four equal parts by its diagonals. The top and bottom quarters are shaded.

F_CM_M3_A1_fig1

Two circles. On the left, a smaller circle divided into quarters, with one cut out and marked with 1/4. On the right, a larger circle divided into quarters, with one cut out and marked 1/4.

Quarters cut from different sized circles.

F_CM_M3_A1_fig2

Student poster with cut out shapes marked with fractions and explanations.

Sample poster.

F_CM_M3_E1_fig1

Hand drawn student work stating 1/3 is bigger than 1/6. 1/6 represented by a rectangle divided into six equal boxes, one coloured; 1/3 represented by a circle divided into three equal parts, with one coloured.

Different shaped wholes.

F_CM_M3_E1_fig2

Hand drawn student work responding to ‘Draw fractions 1/4, 1/3 and 1/5 in order’. The fractions are represented correctly by rectangles divided into equal boxes with one box shaded. The rectangles are different sizes.

Different length wholes.

F_CM_M3_E1_fig3

Hand drawn student work to determine whether 1/3 or 1/4 is larger. Two circles the same size are side by side; the left divided into four equal parts with one part shaded, the right divided into three equal parts with one part shaded. Correct written explanation.

Same sized wholes.

F_CM_M4_A2_fig1

Non-unit fractions to represent the breakfast of two birds, in order to determine the larger fraction.

Screen grab from L2803 Fraction fiddle: comparing non-unit fractions.
Source: © Education Services Australia Ltd, 2011 

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One section of a patterned paper plate is covered by a section of a plain paper plate to visually represent a fraction.

Fraction wheel made from paper plates.

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A slice of cake represented as one fifth matched to the correct fraction.

Screen grab from L2801 Fraction fiddle: matching cake fractions.
Source: © Education Services Australia Ltd, 2011 

F_GT_T1_E1_fig1

A circle divided into four equal parts.

Area diagram showing quarters.

F_GT_T1_E1_fig2

A circle missing one quarter.

Diagram to prompt visualisation of the whole.

F_GT_T1_E2_A1_fig1.png

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.

F_GT_T1_E2_A1_fig2.jpg

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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