Picture a 100 metre running track. The start line is 0 and the finish line is 1 whole race. If a runner is at the halfway point, exactly where on the track are they standing?
Hands up: where would halfway be, and how could you be sure it really is the middle?
Take three hands-up answers, not open call-outs. Give five seconds of quiet think-time first. Listen for the word middle or halfway and revoice it as one half. Don't reveal the answer yet — in the next step we split the line into equal jumps and explain how each fraction lands on its point.
The number line runs from 0 to 1, and each fraction lands a marker on it. Watch how the bottom number splits the gap into equal jumps and the top number tells us how many to count.
Rule each time: bottom number is how many equal jumps, top number is how many we count.
One half: split 0 to 1 into 2 jumps, count 1, lands in the middle. Point to the meeting point; ask why it is the middle.
One quarter: 4 jumps, count 1, close to the start. Have the class count the jumps before you confirm.
One third: 3 jumps this time, not 4, count 1. Note the jumps are wider because there are fewer of them. Point to the tick the marker snaps to so they see it sits on the first jump.
Three quarters: back to 4 jumps, count 3, close to the finish. Count the jumps aloud, not the marks.
Today we explore together: when a fraction is called out, place its point on the line between 0 and 1. First we decide how many equal jumps to split the gap into, then we count the jumps.
This round is for talking it through together — pupils take turns at the board and the class agrees or corrects out loud.
Call one fraction at a time (one half, one quarter, one third, two thirds). For each, ask the pupil at the board: how many equal jumps? before they place the marker. The class confirms the jump count first, then watches the placement. Revoice a strong answer: so the bottom number set the jumps, and we counted up.
In your maths copy, draw a line from 0 to 1. Split it into four equal jumps using your ruler. Then label one half at the point exactly in the middle.
Walk the room glancing for equal-sized jumps and that one half lands on the second tick. No marking — this is whole-class copybook practice, not assessment. If pupils finish early, they may also label one quarter and three quarters.
Today we work through these fractions one at a time: place one half, then one quarter, then one third, then two thirds on the line between 0 and 1. Each time, decide the equal jumps first, then place the point and check.
These are the practice questions — pupils take turns at the board, check each answer, and the class confirms before moving on. Keep the board work brisk rather than over-explaining.
The point a pupil places is the fraction they work out. Remind them to count the equal jumps, not the marks. Watch for pupils placing one third at one quarter's spot — the line must be split into 3, not 4.
We placed one half on the number line by splitting the gap into 2 equal jumps. Now picture a pizza split into 2 equal slices, and you take 1 slice. How is the point on the line the same as that slice of pizza? Both show one half — the same amount, just drawn in a different picture.
Listen for pupils saying the line and the pizza both split the whole into the same equal parts. Revoice a strong answer: so one half is one half, whether we slice a pizza or split a line. Head off the idea that a longer line means a bigger fraction — it is the equal jumps that matter.
Next we will line up fractions to find ones that name the very same amount, like one half and two quarters.
Keep this brisk. Use the recap bullets to settle the class before the activity-book page.
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