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# Clock Geometry - PowerPoint PPT Presentation

Clock Geometry. Half Past Quarter Past Quarter Till. How many hours does one revolution of the minute hand around the face of a clock represent?. How many hours does one revolution of the minute hand around the face of a clock represent?. 1.

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Geometry

Quarter Past

Quarter Till

How many minutes does one revolution of the minute hand around the face of a clock represent?

How many minutes does one revolution of the minute hand around the face of a clock represent?

60

If there are 12 numbers on a clock, how many minutes are there between 2 consecutive numbers?

If there are 12 numbers on a clock, how many minutes are there between 2 consecutive numbers?

60 ÷12=5

How many minutes are there between the numbers 12 and 6? there between 2 consecutive numbers?

How many minutes are there between the numbers 12 and 6? there between 2 consecutive numbers?

5x6=30

30 is what part of 60? there between 2 consecutive numbers?

30 is what part of 60? there between 2 consecutive numbers?

One half

How is another way to express the time 12:30? there between 2 consecutive numbers?

How is another way to express the time 12:30? there between 2 consecutive numbers?

Half past twelve

How many minutes are there between the numbers 12 and 3? there between 2 consecutive numbers?

How many minutes are there between the numbers 12 and 3? there between 2 consecutive numbers?

5x3=15

15 is what part of 60? there between 2 consecutive numbers?

15 is what part of 60? there between 2 consecutive numbers?

One quarter

How is another way to express the time 12:15? there between 2 consecutive numbers?

How is another way to express the time 12:15? there between 2 consecutive numbers?

Quarter past twelve

How many minutes are there between the numbers 9 and 12? there between 2 consecutive numbers?

How many minutes are there between the numbers 9 and 12? there between 2 consecutive numbers?

5x3=15

15 is what part of 60? there between 2 consecutive numbers?

15 is what part of 60? there between 2 consecutive numbers?

One quarter

How is another way to express the time 12:45? there between 2 consecutive numbers?

How is another way to express the time 12:45? there between 2 consecutive numbers?

Quarter till one

The Clock as there between 2 consecutive numbers?

A Geometric

Figure

What geometric figure does the face of this clock represent? there between 2 consecutive numbers?

A circle

How many degrees are there in a circle? there between 2 consecutive numbers?

How many degrees are there in a circle? there between 2 consecutive numbers?

360°

If a clock can be seen as a circle, how many degrees does each minute represent?

360°÷60=6°

6°x5=30°

6°x15=90°

If we draw a line from the center of the clock to the number 12, another line from the number 12 to the number 3, and a third line from the number 3 back to the center of the clock, what geometric figure do we have?

If we draw a line from the center of the clock to the number 12, another line from the number 12 to the number 3, and a third line from the number 3 back to the center of the clock, what geometric figure do we have?

A triangle

If there are 90° between the number 12 and the number 3, how many degrees are there in the angle at the center of the circle?

If there are 90° between the number 12 and the number 3, how many degrees are there in the angle at the center of the circle?

90°

Can this triangle be called a right triangle? how many degrees are there in the angle at the center of the circle?

Can this triangle be called a right triangle? how many degrees are there in the angle at the center of the circle?

Yes, a right triangle is a triangle with one 90° angle.

If the three angles of a triangle add up to 180°, and the angle at the center of the circle is 90°, and the other two angles are equal, how many degrees are in each?

If the three angles of a triangle add up to 180°, and the angle at the center of the circle is 90°, and the other two angles are equal, how many degrees are in each?

180°-90°= 90°

90°÷2=45°

Can this triangle be called an isosceles triangle? on its circumference equal?

Yes, an isosceles triangle is a triangle with two equal sides and two equal angles.

6°x10=60°

If we draw a line from the center of the clock to the number 5, another line from the number 5 to the number 7, and a third line from the number 7 back to the center of the clock, what geometric figure do we have?

If we draw a line from the center of the clock to the number 5, another line from the number 5 to the number 7, and a third line from the number 7 back to the center of the clock, what geometric figure do we have?

A triangle

If there are 60° between the number 5 and the number 7, how many degrees are there in the angle at the center of the circle?

If there are 60° between the number 5 and the number 7, how many degrees are there in the angle at the center of the circle?

60°

If the three angles of a triangle add up to 180°, and the angle at the center of the circle is 60°, and the other two angles are equal, how many degrees are in each?

If the three angles of a triangle add up to 180°, and the angle at the center of the circle is 60°, and the other two angles are equal, how many degrees are in each?

180°-60°= 120°

120°÷2=60°

Can this triangle be called an equilateral triangle? angle at the center of the circle is 60°, and the other two angles are equal, how many degrees are in each?

Can this triangle be called an equilateral triangle? angle at the center of the circle is 60°, and the other two angles are equal, how many degrees are in each?

Yes, a triangle with three 60° angles is an equilateral triangle.

Review angle at the center of the circle is 60°, and the other two angles are equal, how many degrees are in each?

An hour has 60 minutes. angle at the center of the circle is 60°, and the other two angles are equal, how many degrees are in each?

15 minutes make a quarter hour.

For 15 minutes after an hour we can say quarter past the hour.

5. For 30 minutes after an hour we can say half past the hour.

6. A circle has 360°. next hour.

7. Each minute on a clock represents 6° on the circumference of a circle.

8. A triangle has three sides.

9. A right triangle has one 90° angle. next hour.

10. An isosceles triangle has two equal sides and two equal angles.

12. Geometry is everywhere. Just look for it!

Prepared by 60° angles.

Robert Janak

Beaumont,

Texas