Students could be asked to display their solutions on their mini-whiteboards. Here is what Luis wrote:. You might like to try this investigation and find out! Symmetriangle Age 11 to 14 Short Challenge Level: Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?

What are the coordinates of the vertices B and D? Unearth the beautiful mathematics of symmetry whilst investigating the properties of crystal lattices. Cops and Robbers Age 7 to 16 Challenge Level: The graph below is an oblique coordinate system based on 60 degree angles. Parallel Parking Age 14 to 16 Scientist Bryan Rickett has a vision of the future – and it is one in which self-parking cars prowl the tarmac plains, hunting down suitable parking spots and manoeuvring elegantly into them.

Rots and Refs Age 16 to 18 Challenge Level: Register for our mailing list.

Cootdinates Island Age 7 to coordinnates Challenge Level: Can you decide whether two lines are perpendicular or not? Here is a grid: These points all mark the vertices corners of eight hidden squares. Cartesian Isometric 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.

Try changing the position of the origin. Investigate the positions of points which have particular x and y coordinates.

## Transformation Tease

Charlie and Alison have been drawing patterns on coordinate grids. Exploring Diagonals Age 11 solvign 16 Move the corner of the rectangle. What are the coordinates of the corners now? Try changing the position of the origin. Parabella Age 16 to 18 Challenge Level: Working on these problems will help your students develop a better understanding of transformations.

Many famous mathematicians have problemm time working on problems that involve moving and mapping. The graph below is an oblique coordinate system based on 60 degree angles.

# Transformation Tease :

Investigate how this is possible. Make a strip that matches itself after rotation, or after reflection. Stick some cubes together to make a cuboid. A game for two people that can be played with pencils and paper. Something in Common Age 14 to 16 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 sooving twists and turns of the Conway rope trick are surprisingly symmetrical. This article looks at the importance in mathematics of representing places and spaces mathematics. Imagine picking up a bow coordinares some arrows and attempting to hit the target solvkng few times. Input coordinates to help you search and find the giraffe in the fewest guesses. What happens to the coordinates now?

## Coordinate Patterns

Investigate the positions of points which have particular x and y coordinates. Weekly Problem 38 – Where does the line through P that halves the figure shown meet the edge XY?

It’s available as a PowerPointor you could print out this worksheet. What do you notice? Hidden Squares Age 11 to 14 Challenge Level: Freddie Frog visits as many of the leaves as he can on the way to see Sammy Snail but only coordinatfs each lily leaf once.