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Patterns

CM_M1_E1_fig1

Four groups of coloured cubes: a blue-blue pair, a blue-pink pair, a pink-blue-blue group, and another blue-pink pair.

Incorrect units of repeat.

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Three groups of blue-blue-pink cubes in the same orientation.

Correct units of repeat.

CM_M1_fig1

A line of six cubes made of three white-green pairs.

A train of six cubes.

CM_M1_fig2

A line of twelve cubes made of four white-white-red groups.

A train of twelve cubes.

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Two adjoining cubes: one white, one green.

A unit of repeat for the first train.

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Three adjoining cubes: two white followed by one red.

A unit of repeat for the second train.

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Nine squares in a row: coloured yellow, blue, red, yellow, blue, blank, yellow, blue, red. The student fills in the blank.

P_A_AP_AP1_S1_fig1

Three trains of coloured cubes, each train with two red cubes and one green, not aligned.

Units of repeat not aligned.

P_A_AP_AP1_S1_fig2

Three trains of coloured cubes, each train with two red cubes and one green, aligned with the green cube to the left in two trains and to the right in one train.

One unit of repeat reversed.

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Three trains of coloured cubes, each train with two blue cubes and one pink, aligned with the pink cube at the top in all trains.

Units of repeat aligned.

P_A_AP_AP2_S1_fig1

Hand drawn axes: the first with even intervals labelled 8, 10, 17; the second with uneven intervals labelled 1 to 17; the third with even intervals labelled from 0 to 14 and then 16.

Some students’ drawings of the frequency axis.

P_BI_I1_E1_fig1

A typical Scottish tartan, making squares and rectangles of various colours.

A Scottish tartan.
Source: Getty/Arthur S Aubry.

P_BI_I1_E1_fig2

Music and lyrics of the nursery rhyme 'Three Blind Mice'.

Three Blind Mice.

P_BI_I2_E1_fig1

A line of footprints on the seashore.

Footprints in the sand.
Source: Ajith Kumar. Licensed under a Creative-Commons Attribution 2.0 Generic (CC BY 2.0).

P_BI_I2_E1_fig2

A ladder leaning against the outside wall of a house.

A ladder.

P_BI_I2_E1_fig3

A child’s drawing of an apparently random assortment of multicoloured circles, stars, and stars within circles.

Jane’s drawing.

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A wall of bricks.

A brick wall.
Source: Wikimedia Commons. Licensed under a Free Art License 1.3.

P_BI_I3_E1_fig1

A line of coloured cubes consisting of two red cubes and a green cube repeated four times.

An AAB repeating pattern.

P_BI_I3_E2_fig1

A drawing of a fence showing two groupings of uprights railings, each of which is a repeating pattern.

Two units of repeat found on the one fence.

P_BI_I3_E2_fig2

Floor tiles with a red square marking the unit of repeat.

One possible unit of repeat.
Source: Getty/ Pete Ryan.

P_BI_I3_E3_fig2

A tartan showing two possible units of repeat.

Two possible units of repeat.
Source: Getty/Arthur S. Aubry.

P_BI_I3_fig1

A fence made of vertical metal bars, with alternating long and short bars.

A wrought iron fence.
Source: NCPTT Media. Licensed under an Attribution-NonCommercial 2.0 Generic (CC BY-NC 2.0).

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Eight tiles: four across, two deep. All the tiles have an identical pattern. The pattern repeats at the intersections.

Patterned floor tiles.
Source: Getty/Pete Ryan.

P_BI_I4_E1_fig1

Adjacent columns of coloured cubes two, four, six, eight and ten cubes high, standing on a common base line.

A staircase pattern.

P_BI_I4_fig1

A line of cubes consisting of one yellow, two blue, three green and four red cubes.

A growing pattern of cubes.

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