A jigsaw where pieces only go together if the fractions are equivalent.
Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?
Is there a quick way to work out whether a fraction terminates or recurs when you write it as a decimal?
The Egyptians expressed all fractions as the sum of different unit fractions. The Greedy Algorithm might provide us with an efficient way of doing this.
What do you notice about these families of recurring decimals?
Can you express every recurring decimal as a fraction?
Can you locate these values on this interactive logarithmic scale?
Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.
