Picture three spaces in our school: the corridor, the playground, and this classroom. If you had to bet, which one is the longest, and which one is the shortest?
Here is the catch: you can't walk them, you can't pace them, you just have to picture them in your head and decide. Hands up when you've made your choice.
Watch closely. I'm holding our metre stick against three things in the room.
First, the board rail. Before I lay the stick along it, who will estimate: how many metre sticks fit across it? Now watch as I lay the stick down and count.
Next, this Maths book held lengthways. It's much shorter than a metre — so we measure it in centimetres along the stick instead.
Last, the classroom door, top to bottom. Estimate first, then watch me check. Every time, the same rhythm: estimate first, measure second.
In your maths copy, set up a three-column table ready to fill in. Head the columns 'estimate', 'actual', and 'difference'. Leave a few rows underneath so you have room for the lengths we measure together.
You're sitting in groups of four or five, and each group has one metre stick to share. Today we measure three lengths in our classroom together: the teacher's desk, the width of the door-frame, and the distance from the front wall to the back wall.
For each one, write your estimate in the 'estimate' column first. Then take turns: one person in the group lays the metre stick end-over-end while the others watch that it starts at zero and that there are no gaps, and call out the reading. Write the real length in the 'actual' column, then work out the difference and write it in the last column.
Groups of four or five, one metre stick, one copybook and one pencil per group. Assign each group one of the three routes. Take the class to whatever flat space your school has room in — yard, hall, or corridor. Before the lesson, mark three routes with chalk or masking tape: a Short route under 1 m, a Medium route around 5 m, a Long route 10 to 15 m.
If the yard is unusable, run the same Short / Medium / Long structure indoors — masking tape for the Short line, a stretch of the hall or classroom for the Medium, the full length of the corridor for the Long.
What made your best estimate of the day a good one? Was it comparing the length to something you already knew, like the metre stick or the door? Was it breaking a long route into smaller chunks? Which routes were hardest to estimate, and why?
Next we look more closely at the smallest marks on a ruler and read lengths to the nearest millimetre.
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