Angles as turns

The Maths Habit Handout to print

Kai faces the board. He wants to face the door. Which way should he turn? How far?

BoardWindowDoorBack wall

A quarter turn anticlockwise. Or three quarters of a turn clockwise. Both get him there.

Angle
The amount of turn between two arms.
Clockwise
Turning the same way as the hands of a clock.
Anticlockwise
Turning the opposite way to the hands of a clock.
Right angle
A quarter turn.

NorthEastSouthWest
A quarter turn1 quarter turn: stops at East
NorthEastSouthWest
A half turn2 quarter turns: stops at South
NorthEastSouthWest
A three quarter turn3 quarter turns: stops at West
NorthEastSouthWest
A full turn4 quarter turns: stops at North

Draw the turn. Where does the arm stop?

Clockwise or anticlockwise?

NorthEastSouthWest Clockwise

Clockwise or anticlockwise?

NorthEastSouthWest Anticlockwise

The arm points South. It makes a quarter turn clockwise. Draw the turn. Where does the arm stop? West

NorthEastSouthWest

The arm points North. It makes a half turn clockwise. Draw the turn. Where does the arm stop? South

NorthEastSouthWest

The arm points South. It makes a quarter turn clockwise. Draw the turn. Where does the arm stop? West

NorthEastSouthWest

The arm points East. It makes a three quarter turn clockwise. Draw the turn. Where does the arm stop? North

NorthEastSouthWest

The arm points South. It makes a quarter turn clockwise. Draw the turn. Where does the arm stop? West

NorthEastSouthWest

The arm points South. It makes a half turn anticlockwise. Draw the turn. Where does the arm stop? North

NorthEastSouthWest

The arm points South. It makes a quarter turn clockwise. Draw the turn. Where does the arm stop? West

NorthEastSouthWest

The minute hand points to 12. It makes a quarter turn anticlockwise. Which number does it point to? 9

12369

The arm points South. It makes a quarter turn clockwise. Draw the turn. Where does the arm stop? West

NorthEastSouthWest

The arm points West. It makes a three quarter turn anticlockwise. Draw the turn. Where does the arm stop? North

NorthEastSouthWest

Angles as turns worksheet, page 1

Make a right angle corner

1. Take a scrap of paper.
the fold
2. Fold it in half.
a right angle
3. Fold it in half again, lining the fold up with itself.The corner is a quarter turn.

AcuteSmaller than a right angle
Right angleThe same: a quarter turn
ObtuseBigger than a right angle, smaller than a half turn
ReflexBigger than a half turn

Put the corner on it. Smaller, the same or bigger than a right angle?

Smaller or bigger than a right angle?

Smaller: acute

Smaller or bigger than a right angle?

Bigger: obtuse

Put the corner on it. Smaller, the same or bigger than a right angle? Name the angle. smaller: acute

Put the corner on it. Smaller, the same or bigger than a right angle? Name the angle. bigger: obtuse

Put the corner on it. Smaller, the same or bigger than a right angle? Name the angle. smaller: acute

Put the corner on it. Smaller, the same or bigger than a right angle? Name the angle. the same: right angle

Is this turn bigger than a half turn? Name the angle. yes: reflex

Is this turn bigger than a half turn? Name the angle. yes: reflex

Angles as turns worksheet, page 2

Answer sheet

Stand up. Make each one with your arms.

  1. An acute angle

    Smaller than a right angle
  2. A right angle

    A quarter turn
  3. An obtuse angle

    Between a right angle and a half turn
  4. A half turn

    A straight line
  5. A reflex angle

    More than a half turn

  1. How many right angles make a full turn?

    4
  2. Face North. Make a quarter turn clockwise, then a half turn clockwise. Which way do you face?

    West
  3. The minute hand turns clockwise from 12 to 4. Is that turn acute, obtuse or reflex?

    obtuse

  1. A quarter turn anticlockwise. Where does it stop?

    West
    NESW
  2. Put the corner on it. Name the angle.

    bigger: obtuse
  3. Three quarters of a turn clockwise. Where does it stop? Name the angle.

    East, reflex
    NESW
Exit tickets to print