### NRICH COORDINATES PROBLEM SOLVING

Investigate the positions of points which have particular x and y coordinates. Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses? Play with card, or on the computer. 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. Students are too easily convinced. Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?

Play with card, or on the computer. What shapes did the pupils make Fred draw? Translate or move the shape 3 squares to the left and 4 squares up. Coordinated Crystals Age 16 to 18 Challenge Level: Stringy Quads Age 7 to 11 Challenge Level:

How many guesses do you need to find the Metagiff? What Are You Plotting?

One said coordinahes 0,2 and 2,0 have rotational symmetry which means that A is on 1,2 and Z is on 0,2. Find the Metagiff Age 11 to 16 Challenge Level: Coordinate Patterns Age 11 to 14 Challenge Level: Where will the arrows take you next?

## Position and Direction KS2

coordinatew Coordinate Challenge Age 7 to 11 Challenge Level: 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 problfm spots and manoeuvring elegantly into them. Parabella Age 16 to 18 Challenge Level: Geometry problems for primary learners to work on with others. Bring the class together and invite those students with interesting or elegant strategies to present their ideas to the rest of the class.

What patterns do you notice in the coordinates?

# Coordinate Patterns :

A 4 probpem ladder leans against the wall and just touches the cube. Combine your knowledge of coordinates with some strategic thinking. Cubic Rotations Age 14 to 16 Challenge Level: Have you ever tried tessellating capital letters?

Which times on a digital clock have a line of symmetry? This investigation explores using different shapes as the hands of the clock. The triangle OMN has vertices on the axes with whole number co-ordinates.

## 156 Matches for symmetry

Imagine different shaped vessels being filled. How many different symmetrical shapes can you make by shading triangles or squares? Squares, Squares and More Squares Can you dissect a square into: This investigation explores using different shapes as the soving of the clock.

National Flags Age 7 to 11 Challenge Level: These points all mark the vertices corners of eight hidden squares. A game for two people that can be played with pencils and paper.

# Maths Search :

These coordinates themselves will then form a shape with rotational and line symmetry. Sorting Letters Age 5 to 11 Challenge Level: Geometry problems for inquiring primary learners.

Rots and Refs Age 16 to 18 Challenge Level: Exploring Diagonals Age 11 to 16 Move the corner of the rectangle. Geometry problems at primary level that may require resilience. What are the coordinates of the points A, B, C and D which form the corners of the shape?

Snookered Age 14 to 18 Challenge Level: Coordinates of Corners Age 11 to 16 Use the applet to make some squares.