Math · Stage 6

Reason about angles in shapes and around a point

Angles follow rules you can count on: along a straight line they total 180°, all the way around a point they fill a whole turn of 360°, and the three corners of any triangle add to 180° (a four-sided shape, 360°). Know the rule and you can always find a missing angle.

✦ Math📘 Stage 6 · S6⏱ ~12 min🧒 Ages 10–12★ Free to start

I can reason about angles in shapes and around a point.

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Kavi and the Star-Fruit Slices 🌟

Kavi tilts its head at a slice of star-fruit on the branch. "Look how the cuts meet in the middle!" it hoots. "Angles are everywhere — and they obey rules. Lay them along a straight line and they always total 180°. Fit them all the way around a point and they fill one whole turn — 360°. The three corners of any triangle add to 180°, and a four-sided shape to 360°. Learn the rule, and a missing angle can never hide from you!"

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What your child will learn

1How big is the angle?Every angle is measured in degrees (°). We name it by its size. Tap each one to see its range — and remember the three anchor sizes: a right angle is 90°, a straight angle is 180°, and a full turn is 360°.

2Does it add up to 180° or 360°?

3The two moves that find any missing angleAlmost every angle puzzle uses one of two totals. Tap each card to see how.

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A peek inside

Two angles sit next to each other on a straight line. One of them is 115°. How big is the other angle?

angles on a straight line add to 180°, so the other is 180 − 115 = 65

Try this at home: What do angles on a straight line always add up to?

Ready to play and learn?

Start the free interactive lesson, or print the handout for screen-free play.

Start the free lesson →⬇ Download PDF

Part of Math · Stage 6 · S6 on KAVI Academy — a secular, whole-child learning platform for ages 5–12.