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Week 12 · Angles, lines and symmetry

Monday

Angles and degrees
// Measure, add and sort, then a big review
⏱ about 15 min

Monday: Angles and degrees

Ferris the Fox unfolds his trail map at a fork in the path.

"Our trail turns here," he says, tracing the paths with his paw. "But how much does it turn?"

Bennie the Bear lays two long sticks on the ground so their ends touch.

"Two rays that start at the same point make an angle," Bennie explains.

Ferris opens the sticks wider, then closer. "The angle changes as the sticks turn!"

"We measure that turn in degrees," says Bennie. "A full turn all the way around is 360 degrees."

Ferris grins and adjusts his green backpack. "Then let us learn our turns."

Learn it: angles are turns

A ray starts at one point and goes on and on in one direction.

An angle is two rays that share an endpoint. The shared point is the vertex.

An angle made by two rays that meet at a vertex

We measure angles in degrees. A full turn around a circle is 360 degrees.

One degree is 1/360 of a full turn.

A quarter turn is 360 ÷ 4 = 90 degrees. That is a right angle.

A right angle, marked with a small square

An acute angle is less than 90 degrees.

An obtuse angle is more than 90 degrees but less than 180 degrees.

A straight angle is a half turn, 180 degrees.

WHAT KIND OF ANGLE?
  • Read the question.
  • Tap your answer.
An angleWhat kind of angle is this?
An angleWhat kind of angle is this?
An angleWhat kind of angle is this?
An angleWhat kind of angle is this?
An angleWhat kind of angle is this?
TURNS AND DEGREES
  • Read the question.
  • Tap your answer.
A full turn is 360 degrees. How many degrees is a half turn?
360 ÷ 4 = ?
How many degrees are in three quarter turns?
An angle turns through 25 one-degree angles. How many degrees is it?
ANGLES ON A CLOCK
  • Read the question.
  • Tap your answer.
A clock showing 3:00What kind of angle do the clock hands make?
A clock showing 1:00What kind of angle do the clock hands make?
A clock showing 5:00What kind of angle do the clock hands make?
ORDER THE ANGLES
  • Think about how far each angle turns.
  • Tap them from smallest to largest.
11st
22nd
33rd
44th
SentenceTrue or false?
A right angle measures 90 degrees.?
A full turn is 180 degrees.?
An obtuse angle is less than 90 degrees.?
360 ÷ 4 = 90?
WHY THIS EXERCISEA full turn is 360 degrees. An obtuse angle is more than 90 degrees.
Try it
Stand up and face a wall.
Make a quarter turn to your right. You turned 90 degrees.
Make a half turn. You turned 180 degrees.
Find 3 right angles at home, like the corner of a book.
Draw an acute angle, a right angle and an obtuse angle. Label each one.

Great turning! Tomorrow we measure and add angles.