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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?

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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?

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Triangles All Around

Can you find all the different triangles on these peg boards, and find their angles?

Transformations on a Pegboard

Stage: 2 Challenge Level: Challenge Level:1

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 set up some similar challenges for your friends.
 

 


The NRICH Project aims to enrich the mathematical experiences of all learners. 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. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the Millennium Mathematics Project.