Angles as Turns

1A full turn brings you back to the start

A full turn is a spin that faces the same mark you started on. That landing is the test.

A spin that stops short is not a full turn, even if it felt long.

Figure. A full turn is four equal quarter rays and you face the start mark again. Each ray has the same visual length (aspect 1.6). The start arrow and the north ray are the same direction.

How it works

1. Mark the start facingA wall, or a tape.
2. Turn until you face it againOne full turn.
3. If you miss the mark, it is not fullKeep turning or name a part.

2A half turn is half a circle

A half turn faces the opposite mark. You have gone halfway around the circle.

A quarter twice also makes a half — two quarter landings.

How it works

1. Face a startThe mark.
2. Turn to the oppositeHalf turn.
3. Check you did not stop at a quarterOpposite, not beside.

3Quarter turns make a half or a full

Two quarter turns make a half. Four make a full. Count the quarter-landings.

Three quarters is not a half and not a full.

How it works

1. Name one quarterA right-angle turn you can feel.
2. Count how many2 → half; 4 → full.
3. Stop on the asked landingDo not overshoot.

4The statue game is a turn you can feel

Freeze, then turn a named amount. The body is the angle. A wobble that is not the named turn fails the game.

Feeling dizzy is not a measure.

Figure. The statue game: you feel a turn when your facing changes. Before, the arrow points up; after one quarter turn it points right. Same visual length, 90° on the page.

How it works

1. Hear the named turnQuarter, half, full.
2. Turn that amountOne landing.
3. Freeze on the new facingThe game’s evidence.

5The minute hand makes a full turn on the clock

From 12 back to 12, the minute hand has made one full turn — 60 minutes. That is a clock-track full turn.

The hour hand is slower. Do not swap the hands.

Figure. The minute hand starts at 12. After 60 minutes it stands at 12 again — that is one full turn. Crossed dashed lines mark 12-6 and 9-3. No clock circle is drawn.

How it works

1. Watch the long handMinutes.
2. Start at a mark12.
3. When it returns, name a full turnOne hour of minutes.

6A giant wheel’s full turn is back at the start mark

A cabin that returns to the boarding mark has completed a full turn of the wheel.

Stopping at the top is about a half if boarding was at the bottom — name the marks.

Figure. A giant-wheel seat is back at the start mark only after a full turn: start → quarter → half → three-quarters → start. The path is named stops, not a drawn wheel.

How it works

1. Mark boardingThe start.
2. Ride until that mark returnsFull turn.
3. A top stop is not automatically a half unless boarding was oppositeName both marks.

7Everyday objects turn: taps, doors, fans

A tap quarter-turn, a door swing, a fan blade’s spin are turns. Name how far before you pin a school angle-word.

“It moved” is not a turn-measure.

Figure. Everyday turns: a tap or a door often moves about a quarter turn; a fan blade repeats many full turns. Name how far it turned before you reach for a school angle word.

How it works

1. Pick the objectTap, door, fan.
2. Name start and end facingTwo marks.
3. Name the turnQuarter, half, full, or “less than a quarter”.

8Name how far it turned before you name the school angle

Quarter, half, full are how-far words. Right angle is a school name you may attach after a quarter-turn lands.

Do not say “90 degrees” as a decoration if you only felt a quarter.

Figure. Name how far it turned (quarter, half, full) before you name the school word (right angle, straight, complete). The top row is the measurement; the bottom row is the name.

How it works

1. Measure the turn in quarters or halvesHow far.
2. Then, if it matches, attach the school nameRight angle for a quarter.
3. Keep how-far firstName after the landing.