Explore the lattice and vector structure of this crystal. Dotty Grids Age 11 to 16 Challenge Level: Stick some cubes together to make a cuboid. Areas from Vectors Age 11 to 16 Use the applet to explore the area of a parallelogram and how it relates to vectors. Exploring Diagonals Age 11 to 16 Move the corner of the rectangle. Here is a set of axes with one shape drawn in the first quadrant:

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: Can you find a quick and elegant strategy? Age 7 to 11 Challenge Level: To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. Symmetric Tangles Age 14 to 16 The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical. These coordinates themselves will then form a shape with rotational and line symmetry.

Filter by resource type problems articles general resources EYFS Resource Lists Filter by age 5 to 7 7 to 11 11 to 14 14 to 16 16 to Weekly Problem 24 – What is the smallest number of additional squares that must be shaded so that this figure has at least one line of symmetry and rotational symmetry of order 2?

Investigate coordinated number of points with integer coordinates on circles with centres at the origin for which the square of the radius is a power of 5. Cops and Robbers Age 7 to 16 Challenge Level: What are the coordinates of the coloured dots that mark out the tangram?

Observe symmetries and engage the power of substitution to solve complicated equations. Try changing the position of the origin. Then I saw that one of the clues said that 2,0 is only made of curved coordinatfs, so 2,0 is the S.

# Transformation Tease :

To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. What is this shape called? Ladder and Cube Age 14 aolving 16 Challenge Level: This problem offers a good opportunity for students to discuss patterns and find convincing arguments for their solutions.

Combine your knowledge of coordinates with some strategic thinking. What Are You Plotting? Crosses can be drawn on number grids of various sizes. In a snooker game the brown ball was on the lip of the pocket but it could not be hit directly as the black ball was in the way.

What do you see when you compare these coordinates with the original ones? Imagine picking up a bow and some arrows and attempting to hit the target a few times. Coordinates of Corners Age 11 to 16 Use the applet to make some squares. Reuben Hersh has written that: Coordinate Designs Age 11 to 14 Challenge Level: Sorting Letters Age 5 pfoblem 11 Challenge Level: Then I saw the clue that said that 3,33,2 and 3,1 are all consecutive in the alphabet, because the A and the Z coogdinates already used, it has to be C, D and E because it says that 3,3 is made of only curved lines.

# Coordinate Challenge :

Which look the same upside-down? Symmetriangle Age 11 sollving 14 Short Challenge Level: Symmetric Tangles Age 14 to 16 The tangles created by the twists and turns of the Conway rope trick are surprisingly symmetrical.

Coordinate Cunning Age 7 to 11 Challenge Level: Play with card, or on the computer. Filter by resource ptoblem problems game articles general resources Lists Filter by age 5 to 7 7 to 11 11 to 14 14 to 16 16 to Can you work out where it is? Hidden Squares Age 11 to 14 Challenge Level: Find the shortest route from one corner to the opposite corner.

## Position and Direction KS2

A square of area 3 square units cannot be drawn on a 2D grid so that problsm of its vertices have integer coordinates, but can it be drawn on a 3D grid? This article looks at the importance in mathematics of representing places and spaces mathematics.

What are the coordinates of the vertices B and D?