1 60 60 ÷12=5 5x6=30 One half Half past twelve.
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Transcript of 1 60 60 ÷12=5 5x6=30 One half Half past twelve.
![Page 1: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/1.jpg)
ClockGeometry
![Page 2: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/2.jpg)
Half PastQuarter Past Quarter Till
![Page 3: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/3.jpg)
How many hours does one
revolution of the minute
hand around the face of a
clock represent?
![Page 4: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/4.jpg)
How many hours does one
revolution of the minute
hand around the face of a
clock represent?1
![Page 5: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/5.jpg)
How many minutes does
one revolution of the minute hand around the face of a
clock represent?
![Page 6: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/6.jpg)
How many minutes does
one revolution of the minute hand around the face of a
clock represent?60
![Page 7: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/7.jpg)
If there are 12 numbers on a
clock, how many minutes are
there between 2 consecutive numbers?
![Page 8: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/8.jpg)
If there are 12 numbers on a
clock, how many minutes are
there between 2 consecutive numbers?
60 ÷12=5
![Page 9: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/9.jpg)
How many minutes are
there between the numbers
12 and 6?
![Page 10: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/10.jpg)
How many minutes are
there between the numbers
12 and 6?5x6=30
![Page 11: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/11.jpg)
30 is what
part of 60?
![Page 12: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/12.jpg)
30 is what
part of 60? One half
![Page 13: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/13.jpg)
How is another way to
express the time 12:30?
![Page 14: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/14.jpg)
How is another way to
express the time 12:30?
Half past twelve
![Page 15: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/15.jpg)
How many minutes are
there between the numbers
12 and 3?
![Page 16: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/16.jpg)
How many minutes are
there between the numbers
12 and 3?5x3=15
![Page 17: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/17.jpg)
15 is what
part of 60?
![Page 18: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/18.jpg)
15 is what
part of 60?
One quarter
![Page 19: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/19.jpg)
How is another way to
express the time 12:15?
![Page 20: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/20.jpg)
How is another way to
express the time 12:15?
Quarter past twelve
![Page 21: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/21.jpg)
How many minutes are
there between the numbers 9
and 12?
![Page 22: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/22.jpg)
How many minutes are
there between the numbers 9
and 12?5x3=15
![Page 23: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/23.jpg)
15 is what
part of 60?
![Page 24: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/24.jpg)
15 is what
part of 60? One
quarter
![Page 25: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/25.jpg)
How is another way to
express the time 12:45?
![Page 26: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/26.jpg)
How is another way to
express the time 12:45? Quarter till
one
![Page 27: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/27.jpg)
The Clock asA Geometric
Figure
![Page 28: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/28.jpg)
What geometric
figure does the face of this
clock represent?
![Page 29: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/29.jpg)
What geometric
figure does the face of this
clock represent? A circle
![Page 30: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/30.jpg)
How many degrees are there in a
circle?
![Page 31: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/31.jpg)
How many degrees are there in a
circle?
360°
![Page 32: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/32.jpg)
How many minutes are there in one revolution of the minute
hand?
![Page 33: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/33.jpg)
How many minutes are there in one revolution of the minute
hand? 60
![Page 34: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/34.jpg)
If a clock can be seen as a circle, how
many degrees does each
minute represent?
![Page 35: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/35.jpg)
If a clock can be seen as a circle, how
many degrees does each
minute represent?
360°÷60=6°
![Page 36: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/36.jpg)
How many minutes are
there between the numbers 12 and 1 on a
clock?
![Page 37: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/37.jpg)
How many minutes are
there between the numbers 12 and 1 on a
clock?5
![Page 38: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/38.jpg)
How many degrees are
there between the numbers 12 and 1 on a
clock?
![Page 39: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/39.jpg)
How many degrees are
there between the numbers 12 and 1 on a
clock? 6°x5=30°
![Page 40: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/40.jpg)
How many minutes are
there between the numbers 12 and 3 on a
clock?
![Page 41: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/41.jpg)
How many minutes are
there between the numbers 12 and 3 on a
clock? 15
![Page 42: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/42.jpg)
How many degrees are
there between the numbers 12 and 3 on a
clock?
![Page 43: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/43.jpg)
How many degrees are
there between the numbers 12 and 3 on a
clock? 6°x15=90°
![Page 44: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/44.jpg)
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?
![Page 45: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/45.jpg)
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
![Page 46: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/46.jpg)
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?
![Page 47: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/47.jpg)
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°
![Page 48: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/48.jpg)
Can this triangle be
called a right
triangle?
![Page 49: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/49.jpg)
Can this triangle be
called a right
triangle?Yes, a right triangle is a
triangle with one 90° angle.
![Page 50: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/50.jpg)
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?
![Page 51: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/51.jpg)
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°
![Page 52: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/52.jpg)
Is the distance between the center of a
circle and any point on its
circumference equal?
![Page 53: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/53.jpg)
Is the distance between the center of a
circle and any point on its
circumference equal?
yes
![Page 54: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/54.jpg)
Can this triangle be called an isosceles triangle?
![Page 55: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/55.jpg)
Can this triangle be called an isosceles triangle?
Yes, an isosceles triangle is a triangle with two equal sides and
two equal angles.
![Page 56: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/56.jpg)
How many degrees are
there between the numbers 5 and 7 on a
clock?
![Page 57: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/57.jpg)
How many degrees are
there between the numbers 5 and 7 on a
clock?6°x10=60°
![Page 58: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/58.jpg)
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?
![Page 59: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/59.jpg)
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
![Page 60: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/60.jpg)
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?
![Page 61: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/61.jpg)
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°
![Page 62: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/62.jpg)
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?
![Page 63: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/63.jpg)
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°
![Page 64: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/64.jpg)
Can this triangle be called an
equilateral triangle?
![Page 65: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/65.jpg)
Can this triangle be called an
equilateral triangle?
Yes, a triangle with three 60° angles is an equilateral triangle.
![Page 66: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/66.jpg)
Review
![Page 67: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/67.jpg)
1. An hour has 60 minutes.
2. 15 minutes make a quarter hour.
3. For 15 minutes after an hour we can say quarter past the hour.
![Page 68: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/68.jpg)
4. For 45 minutes after an hour we can say quarter till the next hour.
5. For 30 minutes after an hour we can say half past the hour.
![Page 69: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/69.jpg)
6. A circle has 360°.7. Each minute on
a clock represents 6° on the circumference of a circle.
8. A triangle has three sides.
![Page 70: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/70.jpg)
9. A right triangle has one 90° angle.
10. An isosceles triangle has two equal sides and two equal angles.
![Page 71: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/71.jpg)
11. An equilateral triangle has three equal sides and three 60° angles.
12. Geometry is everywhere. Just look for it!
![Page 72: 1 60 60 ÷12=5 5x6=30 One half Half past twelve.](https://reader036.fdocuments.us/reader036/viewer/2022062417/551c1ab6550346b24f8b58bf/html5/thumbnails/72.jpg)
Prepared by
Robert Janak
Beaumont,
Texas