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        Patterns

        P_CM_M4_E1_fig4

        Five collections of dots: a single dot, a 2 by 2 square array, a 3 by 3 square array, a 3 by 4 array, a 3 by 5 array.

        Cora’s pattern.

        P_CM_M4_E1_fig5

        Five collections of dots: a single dot, a 2 by 2 square array, a 3 by 3 square array, a 4 by 4 square array, a 5 by 5 square array.

        A correct solution.

        P_CM_M4_fig1

        Five triangular arrays, with the number of dots on each side varying from one to five. The number of dots in each array is also given: 1, 3, 6, 10 and 15.

        Triangular numbers.

        P_CM_M4_TA1_fig1

        Six cubes, alternating in colour between red and yellow.

        Simple repeating pattern.

        P_CM_M4_TA1_fig2

        Three groups of cubes alternating in colour between red and yellow. The groups grow by two each time, starting with two cubes.

        Growing pattern.

        P_CM_M5_E1_fig1

        A grid of horizontal and oblique lines forming triangles.

        A triangle tessellation.

        P_CM_M5_E1_fig2

        The original grid of lines, with various sizes of triangle highlighted.

        Similar triangles.

        P_CM_M5_E1_fig3

        The original grid of lines, with six triangles around a point highlighted.

        Six triangles fit around each point.

        P_CM_M5_fig1

        A blank rectangular grid of twelve equally sized squares in a three by four pattern.

        A rectangular grid of squares.

        P_CM_M5_fig2

        Three rows of four circles touching each other in a rectangular pattern.

        A rectangular array of circles.

        P_CM_M5_fig3

        A tessellation formed by fitting regular octagons together, with squares fitted in the gaps.

        A tessellation of squares and octagons.

        P_CM_M5_TA1_fig1

        A tessellation of pink and yellow cat heads (student work).

        A student-created tessellation.

        P_GT_T1_E1_A1_fig1

        A brick wall with each row alternating short and long bricks.

        A brick wall.
        Source: not provided. Licensed under a Free Art License 1.3.

        P_GT_T1_E1_A1_fig2

        A country panorama showing a wooden fence with regularly-spaced upright posts and four regularly-spaced rails.

        A wooden fence.
        Source: faukto_digit. Licensed under a Creative-Commons Attribution 2.0 Generic (CC BY 2.0).

        P_GT_T1_E1_A2_fig1

        Close up of an approximately symmetrical green leaf with central vein.

        A leaf.

        P_GT_T1_E1_A2_fig2

        A photo of a house known as a 'Queenlander', with each side a mirror image of the other.

        A symmetrical building.
        Source: Getty/ Scott Hailstone.

        P_GT_T1_E1_A2_fig3

        A spider web, with several radiating construction threads and multiple cross threads joining them.

        A spider web.

        P_GT_T1_E1_A2_fig4

        An image commonly seen in a kaleidoscope, with multicoloured shapes making symmetrical patterns.

        A kaleidoscope image.
        Source: sky radford. Licensed under a Creative-Commons Attribution 3.0 Unported (CC BY 3.0). 

        P_GT_T2_E1_A1_fig1

        A girl and a boy participating in a sack race at a sports day.

        A sack race.
        Source: Getty/Deborah Jaffe.

        P_GT_T2_E1_A1_fig2

        A photo of a 100 metre running track in a park.

        A running track.

        P_GT_T2_E1_A2_fig1

        Notes on a music stave, indicating a rhythmic pattern matched to the words 'Swish, swash, swoosh, sings the sea'.

        The rhythmic pattern of 'Swish, swash, swoosh, sings the sea'.

        P_GT_T3_E1_A1_fig1

        A 10 by 10 grid marked with the numbers 1 to 100 starting at the top left corner and continuing in rows.

        A hundred square.

        P_GT_T3_E1_A2_fig1

        A strip of paper folded into halves.

        The strip folded in two.

        P_GT_T3_E1_A2_fig2

        A strip of paper folded into quarters.

        The strip folded in two, twice.

        P_GT_T3_E1_fig1

        A number line from 0 to 20, with every number marked and labelled in multiples of 5. Arrows show forward jumps of 3, starting at 2 and ending at 20.

        A number sequence on a number line.

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