### Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

If you had 36 cubes, what different cuboids could you make?

### Cereal Packets

How can you put five cereal packets together to make different shapes if you must put them face-to-face?

# Super Value Shapes

## Super Value Shapes

Each of the following shapes has a value

 4 8 15

What is the total value of the following two shapes when you put them together?

Use a combination of shapes to show the following values. Can you find more than one way to show the values?
20, 27, 35, 36, 50, 66 and 100

Can you find some numbers between 5 and 50 that cannot be made using these shapes?

### Why do this problem?

Children enjoy breaking codes. This set of problems requires substitution skills and is a way of introducing basic algebra concepts to young children. Drawing the results will assist children to make the association between symbol and value.

### Possible approach

To make the work more concrete, have pattern block shapes available. Values can be written on sticky labels and put on the shapes until children feel confident enough to work more abstractly by transfering the assigned value to the shape.
It is important to put a number like 29 into the set, because there is no solution for this total. The children could be asked for suggestions about changing the given values so that a solution could be found.
Once the original solutions are found, ask the children to find alternative solutions and to discuss the possibilities offered.

### Key questions

Tell me about how you found different shapes for the same total.