Seeing Mathematically

The way we see a problem in our mind's eye can affect the way we find a solution. These activities all have a visual element, and we hope that by working on them you will realise the power of creating mental images.
Frogs link

Frogs 

Stage: 3 Challenge Level: Challenge Level:1

How many moves does it take to swap over some red and blue frogs? Do you have a method?

ACE, TWO, THREE... link

ACE, TWO, THREE... 

Stage: 3 Challenge Level: Challenge Level:1

Can you picture how to order the cards to reproduce Charlie's card trick for yourself?

Constructing Triangles link

Constructing Triangles 

Stage: 3 Challenge Level: Challenge Level:1

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

Attractive Tablecloths link

Attractive Tablecloths 

Stage: 4 Challenge Level: Challenge Level:1

Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?

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.