Here is a protractor and here is an angle. Where does the protractor go? Hands up: which part of the protractor lines up with which part of the angle?
Take two or three hands-up answers, not open call-outs. Listen for pupils who say centre on the corner and zero on one of the lines; revoice that as centre on the vertex, zero on one ray. Five seconds of think-time before any hands go up.
Watch four protractor readings on the IWB. We will work through them one at a time so you can see the placement and the reading on each.
The centre of the protractor sits on the vertex. The zero is on one ray. The other ray crosses the inner scale at 35. Routine reading.
Say the routine aloud together: centre on vertex, zero on ray, read where the other ray crosses.
Same placement, but now look at both numbers where the ray crosses. You can see 145 on the outer scale and 35 on the inner scale. Only one is right. Why 145 and not 35? Look at the opening of the angle: it is bigger than a right angle, so the answer has to be the bigger number.
At exactly 90°, both scales read 90. The right angle is the only spot on the whole protractor where the two scales give the same number.
Hands up: anywhere else on the protractor where the two scales agree? (No, only at 90°.)
The ray is squeezed right up against the straight line. Reading this one is fiddly: your eye has to land on the right tick mark, not the one next to it.
Walk each example aloud, one at a time. Do not skip ahead.
Today we explore: four new angles on the IWB protractor. Both scales are visible. For each one, one pupil comes up to the board and reads the angle aloud, saying which scale they used. The rest of us decide first: is the angle acute or obtuse? Then we check whether the reader picks the right scale.
This round is for talking it through together; pupils take turns at the board and the class agrees or corrects out loud.
Drag the ray to four angles in turn: try 60°, then 120°, then 135°, then 165°. For each one, call an individual pupil to the IWB to read the angle aloud and say which scale they used. Before the pupil at the board commits to a number, ask the class on a hands-up: acute or obtuse? That keeps the rest of the room thinking with you.
Listen for pupils picking the wrong scale on the obtuse angles. Revoice: the opening is wider than a right angle, so the answer must be more than 90. If a pupil reads 60 instead of 120, that is the inner-vs-outer slip catching them; pause and ask the class to compare the opening to a right angle before re-reading.
In your maths copy, sketch each angle we just measured on the board and write its reading underneath. Beside each reading, write whether you used the inner or outer scale. Underline the trickiest reading on the page.
Walk the room glancing at the inner/outer label beside each reading. This is whole-class copybook practice, not marking: do not stop to correct individual readings, but if you spot a pupil writing 60 for an obtuse opening, tap the copy and say look at the opening again.
Today's bank: six angles to measure with your own paper protractor. For each angle, place the centre on the vertex and the zero on one ray, read the measurement to the nearest degree, and write down which scale (inner or outer) you used. We compare readings on the board before moving on.
This round is the practice bank: each pupil measures the six angles at their seat with their own paper protractor, then the class compares readings on the board before moving on. Keep the pace brisk rather than over-explaining.
The six angles on each card are 40°, 70°, 110°, 135°, 155°, and 165°. The mix of acute and obtuse keeps pupils choosing the scale on every reading rather than slipping into autopilot.
Walk the room. Watch for two common slips: the protractor not centred on the vertex, and the zero not lined up on a ray. Pause the pupil to re-set rather than letting them read a wrong angle.
Stretch for early finishers: pupils who finish ahead can have a go at the reflex angle (over 180°) — the trick is to measure the smaller angle and subtract from 360°. Hand them the extension card to work out.
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