Mathematicians often know lots of mathematical facts, but more importantly, they think about math in different ways. These problems provide opportunities that encourage our children to work systematically. They also offer the chance to focus on reasoning and problem solving.
**************************
THREE BALL LINE UP
Age 5 to 7

Two children are playing with three balls, one blue, one red and one yellow.
They toss up the balls, which run down a slope so that they land in a row of three.
In how many different ways could the balls land?
Create a record of all the possibilities you have found.
**********************
HOW MANY PIECES?
Age 5 to 7
You can see how many loops of string were used to make these string patterns because the strings are different colors.
In the next pictures can you work out how many loops were used?

How many pieces of string do you need to make this string pattern?



