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Angles

An angle is a turn, measured in degrees, not the length of the arcs or arms you drew. Children struggle when they read the wrong number off a protractor, or cannot say why two angles on a straight line add to 180°.

Why this concept matters

Parallel lines, triangles, and trigonometry all assume this is boringly secure.

Misconceptions, in the order we see them

01

Longer arms, bigger angle

The drawing’s size is confused with the turn.

02

Protractor reading from the wrong zero

A skill problem that looks like a concept problem. We still have to see it.

03

Vertically opposite is a phrase to tick

No picture of two crossing lines, so the theorem is a sticker.

Which classes cover this

Related: Fractions · Decimals · Percentages · Ratio and proportion · Integers

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