Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
Investigate the positions of points which have particular x and y coordinates. What do you notice?
These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?
Can you describe this route to infinity? Where will the arrows take you next?
On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?
Freddie Frog visits as many of the leaves as he can on the way to see Sammy Snail but only visits each lily leaf once. Which is the best way for him to go?
A game for two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.
A game for 2 players. Practises subtraction or other maths operations knowledge.
What are the coordinates of the coloured dots that mark out the tangram? Try changing the position of the origin. What happens to the coordinates now?
Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
Geometry problems for primary learners to work on with others.
Geometry problems for inquiring primary learners.
Can you draw perpendicular lines without using a protractor? Investigate how this is possible.
Geometry problems at primary level that require careful consideration.
Geometry problems at primary level that may require resilience.
Can you find the squares hidden on these coordinate grids?
Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?
This task requires learners to explain and help others, asking and answering questions.
Write down what you can see at the coordinates of the treasure island map. The words can be used in a special way to find the buried treasure. Can you work out where it is?
The graph below is an oblique coordinate system based on 60 degree angles. It was drawn on isometric paper. What kinds of triangles do these points form?
This article looks at the importance in mathematics of representing places and spaces mathematics. Many famous mathematicians have spent time working on problems that involve moving and mapping. . . .
This article describes a practical approach to enhance the teaching and learning of coordinates.
Max and Mandy put their number lines together to make a graph. How far had each of them moved along and up from 0 to get the counter to the place marked?
What are the coordinates of this shape after it has been transformed in the ways described? Compare these with the original coordinates. What do you notice about the numbers?
Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.
Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...