You may also like

problem icon

Chocolate

There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

problem icon

Cut it Out

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

problem icon

Zios and Zepts

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

Fractional Wall

Age 7 to 11 Challenge Level:

Fractional Wall


fraction wall showing halves, thirds, quarters, sixths, eighths, twelths and twenty-fourths
Using the image above, how many different ways can you find of writing $\frac{1}{2}$?
 
From the picture, what equivalent fractions for $\frac{1}{3}$ can you find?
 
Again, using the image of the fraction wall, how else could you write $\frac{3}{4}$?
 
What other fractions do you know that are the same as $\frac{1}{2}$?
 
Find some other fractions which are equivalent to $\frac{3}{4}$.
 
Can you find any "rules" for working out equivalent fractions?

This visual representation of fractions is very powerful. The main aim of the problem is for children to find equivalent fractions using the image, but then to deduce a "rule" (or more than one) for finding equivalent fractions without a picture. Cuisenaire rods could be used as a starter activity, perhaps using one of length 6 as the whole or you could use the Cuisenaire Environment.

Once children have completed this activity, they might like to have a go at Fractions Made Faster.