Media > TDT > Patterns

Patterns

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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.

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

A train of six cubes.

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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.

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

Units of repeat not aligned.

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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.

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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.

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

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

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

Three Blind Mice.

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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).

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A ladder leaning against the outside wall of a house.

A ladder.

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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.

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

An AAB repeating pattern.

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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.

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

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

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A tartan showing two possible units of repeat.

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

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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.

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

A staircase pattern.

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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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Six shapes: a small brown rhombus, a yellow hexagon, a larger blue rhombus, a red trapezium, an orange square and a green equilateral triangle.

A set of pattern blocks.

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Two closed shapes: on the left, a random curved scribble; on the right, a rectangle.

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A hollow square, with each side consisting of a line of green-yellow-green-yellow cubes.

A border pattern.

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Twelve yellow dots arranged in a three by four pattern.

A 3 \(\times\) 4 array.

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Six dots arranged in a triangular pattern with three dots on each side.

A triangular array.

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

A 3 \(\times\) 4 rectangular grid.

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Ashah's drawing of the grid shows disconnected squares.

Ashah's drawing.

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Bonny's drawing of the grid shows a border pattern.

Bonney's drawing.

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Con's drawing of the grid shows separate squares in the correct arrangement.

Con's drawing.

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

A 3 \(\times\) 4 rectangular grid.

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A blank rectangular three by four grid, emphasising the three rows.

The three rows of the grid.

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A blank rectangular three by four grid, emphasising the four columns.

The four columns of the grid.

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Four squares arranged in a two by two pattern.

A 2 \(\times\) 2 'window'.

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An analogue clock with clearly labelled numerals.

A clock with clearly labelled numerals.

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A hand-drawn graph showing Sydney’s temperature over 15 hours, with uneven markings on both the vertical and horizontal axes.

Student's temperature graph.

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A timeline marked from 2000 to 2010 showing the years of some recent Australian sporting events: Olympic Games, Rugby World Cup, Commonwealth Games, and some Ashes results.

Some recent Australian sporting events.

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A car’s speedometer marked from 0 to 200 kilometres per hour.

A speedometer.
Source: Sean MacEntee. Licensed under a Creative-Commons Attribution 2.0 Generic (CC BY 2.0).

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A number line from zero to twelve, with every number marked and labelled and an arrow pointing past twelve.

A number line.

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A line of twenty squares filled with the numbers one to twenty. Every third square is coloured green.

Counting by threes on a number track.

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A number line from zero to twenty, with every number labelled and with a dot on the mark for zero and then every third mark.

Counting by threes on a number line.

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A number line from zero to twenty, with multiples of two labelled and with a dot on the mark for zero and then every third mark.

Counting by threes on a different number line.

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Three groups of squares: a single square, two adjacent squares and a row of three adjacent squares. One circle is placed next to each exterior side of each square.

Numbers of guests for various numbers of tables.

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Three collections of dots: a single dot, a 2 by 2 square array, a 3 by 3 square array.

The given pattern.

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

Ashah’s pattern.

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Five collections of dots: a single dot, a 2 by 2 square array, a 3 by 3 square array, a single dot, a 2 by 2 square array, an approximately circular cluster of 10 dots, an approximately circular cluster of 11 dots.

Ben’s pattern.

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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.

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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.

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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.

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Six cubes, alternating in colour between red and yellow.

Simple repeating pattern.

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

Growing pattern.

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A grid of horizontal and oblique lines forming triangles.

A triangle tessellation.

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

Similar triangles.

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

Six triangles fit around each point.

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

A rectangular grid of squares.

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

A rectangular array of circles.

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

A tessellation of squares and octagons.

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

A student-created tessellation.

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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.

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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).

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

A leaf.

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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.

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

A spider web.

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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). 

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

A sack race.
Source: Getty/Deborah Jaffe.

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

A running track.

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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'.

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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.

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A strip of paper folded into halves.

The strip folded in two.

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A strip of paper folded into quarters.

The strip folded in two, twice.

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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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A row of cubes, made up of three groups of green-green-yellow cubes.

A repeating pattern.

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Three rows of twelve coloured squares. The first is red-blue-blue repeated; the second is green-yellow-yellow repeated; the third is blue-red-red repeated.

Three examples of an ABB pattern.

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A line of nine cubes. The pattern of two red cubes and one blue cube is repeated three times.

Repeating pattern of coloured cubes.

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A line of nine red cubes. On top of every third cube is another red cube.

Repeating pattern of heights.

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A string of nine beads. The pattern of two green beads and one red bead is repeated three times.

Repeating pattern of coloured beads.

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A hand drawn sketch of a pattern of two triangles and one square repeated three times.

Repeating pattern of shapes.

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A music stave, showing three repeating triplets of notes.

Repeating pattern of music notes.

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An equilateral triangle and a square. The side lengths of both figures are equal.

A triangle and a square.

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An equilateral triangle, with an arrow to its right pointing to an ‘open square’ (three sides). To its right another arrow, pointing to a complete square.

Making a triangle into a square.

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A square with an arrow to its right pointing to an 'open pentagon' (four sides). To its right is another arrow pointing to a complete pentagon.

Making a square into a pentagon.

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A photo showing an aerial view of the Pentagon in Washington DC, USA.

The Pentagon in Washington DC, USA.

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Photo of a paper strip folded into a Z shape.

The strip folded into three equal parts.

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Photo of a paper strip folded into a W shape.

The strip folded into four equal parts.

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Two number lines with all numbers marked. On the first, there are highlights at 1 and then every third number. On the second, there are highlights at 1 and then every fifth number.

Screen grab from L1064 Musical number patterns: odds and evens.
© Education Services Australia, 2011

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Four arrays of dots: a single dot, a square made of 4 dots (2 by 2), a square made of 9 dots (3 by 3) and a square made of 16 dots (4 by 4).

A growing pattern of square arrays.

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Four arrays of dots as in the previous diagram. The extra dots that were added to each square to get the next square are highlighted.

How the pattern grows.

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A choir of purple monsters is ready to sing the repeating pattern shown at the bottom of the screen.

Screen grab from L494 Monster choir: Look and listen.
© 2011 Education Services Australia

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A Bee-Bot: a plastic robot in the shape of a beetle with a smiling face.

A Bee-Bot

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A map of a treasure island divided up into a 4 by 4 grid.

Navigate your Bee-Bot around a treasure island.

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Screen grab of a Brainpop Picture Maker activity. The student has constructed a pigeon-squirrel repeating pattern on the branch of a tree.

A Brainpop Picture Maker activity.

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Screen grab of a Brainpop Draw About It activity. The student have started to construct a triangle-circle repeating pattern.

A Brainpop Draw About It activity.

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Screen grab of a BBC Number Patterns activity. The student needs to continue the sequence 25, 50, 75, 100, 125 on a keypad in order to unlock a safe.

A BBC Number Patterns activity.


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