ConceptsAll the ideas

Where fractions live

Idea 4of 24Builds onTop number, bottom number

A fraction is a spot on the number line

Where does 3/4 live on a number line?

Today you'll discover

  • how to cut 0 to 1 into equal spaces
  • how jumps from 0 make a fraction
  • why a fraction is a size

Think firstA dot between 0 and 1

Which fraction names the dot?

Decide first, then press Next. Count the spaces, not the marks.

A number line from 0 to 1 with marks cutting it into four equal spaces and a dot with a question mark. Then curved jumps from 0, numbered, reach the dot; then the dot is named; then every mark is named. The last step shows a line cut into sixths with a dot.

See the whole ideathe big idea and the key word, in one place

The big idea

A fraction is a spot on the number line: equal jumps counted from 0.

Easy to get wrongCount the spaces, not the marks. From 0 to 1 in fourths there are 5 marks but only 4 spaces.

Around youA 1 km trail with a sign every 1/4 km: after 3 signs you have walked 3/4 km.

Key word

number line
a straight line with numbers spaced evenly along it, starting at 0

Ready to use it?

  • Place a fraction on a number line.
  • Name the fraction at a dot.
Practise this idea