Step 3 Objective

Order a set of fractions such as 2, Twenty three quarters, Thirteen quarters, Twenty one halfs, Eleven halfs and position them on a number line.

Examples of what pupils should know and be able to do

Place in order smallest first:

Mark each of these fractions on a number line from 0 to 1 with 20 marked divisions:

Which of these fractions are less than A half?

Probing questions

Which fraction is closer to one, Four fifths or Five sixths? How do you know?

Tell me some fractions of numbers (e.g. A half of 10) that are equal to 2, 5, 10, 15. How do these link to the division questions?

Tell me two fractions that are the same as 0.2. Are there any other decimals that have fractions that are both fifths and tenths?

What would you prefer, 3 pizzas shared between 4 people or 6 pizzas shared between 10 people? Explain why.

What if pupils find this a barrier?

Use a number line with 12 marked divisions. Discuss which fractions would be easy to position on the line. Do the same for a line with 20 marked divisions. Use the number lines to sort a set of fractions. Get pupils to devise their own fractions for ordering. Use equivalence of fractions and decimals to help order fractions.

Use Fractions ITP - Zip file (457Kb) to help visualise the size of fractions.