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Fred the Class Robot

Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?

Cartesian Isometric

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?

Transformations on a Pegboard

Age 7 to 11
Challenge Level

Someone using an elastic band and a pegboard used four pegs to make the blue square you see below. They challenged another person to double the area by just moving two of the pegs. You can see what they did here.

2 by 2 square made into 2 by 4 rectangle

Have a go at these:

Can you make this into a right-angled triangle by moving just one peg?

traingle of base 6 units, perpendicular height 4

Can you enlarge this to the same shape with all the sides twice the length, moving just two pegs?

4 by 2 rectangle

You could use our interactive geoboard below to try out your ideas. 
Choose the size of your pegboard then select the line tool and click on two dots to draw a line between them. 

You could set up some similar challenges for your friends, or have a go at More Transformations on a Pegboard.