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  • Early Years Foundation Stage

Transformations on a Pegboard

Age 7 to 11
Challenge Level Yellow star
Primary curriculum
  • Problem
  • Getting Started
  • Student Solutions
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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.
Have a go at these:

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


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


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.
 

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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.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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