Counters in the Middle Age 7 to 11 Challenge Level: Use normal square lattice paper to record your results. What happens to the coordinates now? Transformation Tease What are the coordinates of this shape after it has been transformed in the ways described? Just Opposite Age 14 to 16 Challenge Level: Route to Infinity Age 11 to 14 Challenge Level: These questions will make you look at car wheels in a different way!
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Charlie and Alison have been drawing patterns on coordinate grids. Can you use the diagram above to help you to work this out? Then I worked out that at 0,2 and 1,2 are the ends of the alphabet and had to be A and Z but I needed to know which one went where so I looked at the clues. In how many ways can you fit all three pieces together to make shapes with line symmetry?
More Number Pyramids When number pyramids have a sequence on the bottom layer, some interesting patterns emerge Here is a set of axes with one shape drawn in the first quadrant: You may also like Days and Dates Investigate how you can work out what day of the week your birthday will be on next solviny, and the year after Crosses can be drawn on number grids of various sizes.
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What are the coordinates of the other vertices? Create a symmetrical fabric design based on a flower motif – and realise it in Logo.
Would your strategy work if Alison’s sequence extended to the left? Register for our mailing list. These points all mark the vertices corners of eight hidden squares.
A design is ptoblem endlessly along a line – rather like a stream of paper coming off a roll. Just Opposite Age proglem to 16 Challenge Level: Geometry Stage 5 Age 7 to 11 Challenge Level: Polar Coordinates Age 14 to 18 Cartesian Coordinates are not the only way! These coordinates themselves will then form a shape with rotational and line symmetry.
Systematically explore the range of symmetric designs that can be created by shading parts of the motif below.
Coordinates and Coordinate Geometry :: :
Can you devise a general instruction for the construction of a square when you are given just one of its sides? Charlie has been drawing more squares. Coordknates first clue says that coordinatds and 1,3 have a vertical line of symmetry, another clue says that 1,1 also has a vertical line of symmetry, which means that 1,1 is a X and 1,3 is a Y, which leaves the B which is at 2,1 because a clue says that at 2,1 there is a letter with a horizontal line of symmetry. Play with card, or on the computer.
Compare these with the original coordinates. The shortest path between any two points on a snooker table is the straight line between them but what if the ball must bounce off one wall, or 2 walls, or 3 walls?
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Plot these three points on the graph: A tilted square is a square with no horizontal sides. Coordinate Patterns Age 11 to 14 Challenge Level: Dancing with Maths Age 7 to 16 An article for students and teachers on symmetry and square dancing.
The published solutions to these tasks include a small ‘slip-up’. Snookered Age 14 to 18 Challenge Level: Cops and Robbers Age 7 to 16 Challenge Level: Can you suggest a quick and efficient strategy for working out the coordinates of the vertices of any triangle?
Be the last person to be able to place a pentomino piece on the playing board. Do you notice about the numbers? Coordinated Crystals Age 16 to 18 Challenge Level: We asked what was the most interesting fact that you can find out about the number Transformations – Short Problems Age 11 to 16 A collection of short coordinatws on transformations.
This practical problem challenges you to make quadrilaterals with a loop of string. Geometry problems at primary level that may require resilience. The points P, Q and R are the centres of the three triangles.