L4 · Fractions on the number line, 0 to 1; benchmarks 0, 1/2 and 1

Learning goal

“I can place fractions on a number line from 0 to 1 by counting unit-fraction steps, and I can tell whether a fraction is close to 0, close to 1/2, or close to 1.”

Number line — a line where numbers live in order; here it runs from 0 to 1, the length of one whole.

Benchmark — a familiar landing used to judge other fractions: 0, 1/2 and 1.

Halfway — the point exactly in the middle between 0 and 1: it is 1/2.

Worked example

A number line from 0 to 1 is the length of ONE whole. Split the space from 0 to 1 into 4 equal spaces - the same split as a strip in fourths. The end of each space gets a tick. Now count unit fractions from 0: after 1 space you are at 1/4; after 2 spaces, 2/4; after 3 spaces, 3/4; after 4 spaces you reach 4/4, which is exactly the point 1. Every fraction is a POINT on this line. To place a fraction, split the line by its denominator and count steps of its unit fraction.

Check yourself — explain it

On this line, why does the tick for 3/4 sit three spaces from 0?

Paired problem — example still visible

A line from 0 to 1 is split into 5 equal spaces. The third tick from 0 is ___ -> 3/5

Faded completion — last step is yours

"A line split into 8 equal spaces: counting from 0, the ticks are 1/8, 2/8, ..., and the last tick before 1 is ___." -> 7/8

Ready to practise?

10 scored questions with a 3-rung hint ladder. Mastery needs 8/10 plus both gate questions.

Start practice →Take the unit quiz