bell ringer: geometry - montgomery county schools · 2017-10-18 · 3 bell ringer: geometry each...
TRANSCRIPT
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1
Bell Ringer: Geometry
Write down one thing you remember about parallelograms… wait for instructions as we’ll share our results in a few minutes on the board.
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2
Daily Learning Target (DLT)
“I can understand, apply, and remember the sums of the measures of the interior and exterior angles of polygons.”
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3
Bell Ringer: Geometry
Each student write down his or her one thing you remember about parallelograms on the whiteboard based on the parallelogram’s sides, angles, and diagonals.
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4
Geometry: Reminders
1. Unit 7 Test this Friday (12/07/12)
2. All Unit 7 Work Due This Friday (12/07/12)
3. YOU HAVE TO STUDY… PLEASE DON’T PROCRASTINATE.
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“Have you ever wondered what
the total number of degrees that
interior angles in a stop sign
add up to?”
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NAMES OF POLYGONS
SIDES
TRIANGLE 3
QUADRILATERAL 4
PENTAGON 5
HEXAGON 6
HEPTAGON 7
OCTAGON 8
NONAGON 9
DECAGON 10
DODECAGON 12
N – GON N
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Fist-To-Thumbs?
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What is an Equilateral Polygon?
An equilateral polygon has all
sides congruent.
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What is an Equiangular Polygon?
An equiangular polygon has all
angles congruent.
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REGULAR POLYGONS
REGULAR POLYGONS
HAVE EQUAL SIDES AND
EQUAL ANGLES SO WE
CAN FIND THE MEASURE
OF EACH INTERIOR ANGLE
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Fist-To-Thumbs?
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INTERIOR ANGLE SUM
IF N IS THE NUMBER OF SIDES THEN:
INT ANGLE SUM =
(N – 2 ) 180°
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INTERIOR ANGLE SUM
Find the interior sum of the angles of the Speed Limit sign.
INT ANGLE SUM =
(N – 2 ) 180°
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INTERIOR ANGLE SUM
Find the interior sum of the angles of the Speed Limit sign.
INT ANGLE SUM =
(4 – 2 ) 180° = 360°
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INTERIOR ANGLE SUM
Find the interior sum of the angles of the Pentagon.
INT ANGLE SUM =
(N – 2 ) 180°
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INTERIOR ANGLE SUM
Find the interior sum of the angles of the Pentagon.
INT ANGLE SUM =
(5 – 2 ) 180° = 540°
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Fist-To-Thumbs?
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EACH INTERIOR ANGLE OF
A REGULAR POLYGON =
(N – 2 ) 180
N
REMEMBER N = NUMBER OF SIDES
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REGULAR PENTAGON
Find the measures of one of the
interior angles.
(N – 2 ) 180
N
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INT ANGLE SUM =
(5 – 2 ) 180 = 540°
EACH INT ANGLE =
540 = 108°
5
REGULAR PENTAGON
Find the measures of one of the
interior angles.
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(N – 2 ) 180
N
REGULAR OCTAGON
Find the measures of one of the
interior angles.
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REGULAR OCTAGON
Find the measures of one of the
interior angles.
INT ANGLE SUM =
(8 – 2 ) 180 = 1080°
EACH INT ANGLE =
1080 = 135°
8
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Fist-To-Thumbs?
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ALL POLYGONS HAVE AN EXTERIOR ANGLE SUM OF
360°
EXTERIOR ANGLE
EXTERIOR ANGLE SUM
THE MEASURE OF EACH EXTERIOR ANGLE OF A REGULAR POLYGON IS
360°
N
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NAME ____________
# SIDES ____6________
INT ANGLE SUM _________
EACH INT ANGLE _________
EXT ANGLE SUM _________
EACH EXT ANGLE _ _____
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NAME HEXAGON
# SIDES 360 / 60 = 6
INT ANGLE SUM (6-2) X 180 = 720°
EACH INT ANGLE 720 / 6 = 120°
EXT ANGLE SUM 360°
EACH EXT ANGLE 60
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NAME ___________
# SIDES _____9_______
INT ANGLE SUM _________
EACH INT ANGLE _________
EXT ANGLE SUM _________
EACH EXT ANGLE _________
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NAME NONAGON
# SIDES 9
INT ANGLE SUM (9-2) x 180 =
1260°
EACH INT ANGLE 1260 / 9 = 140°
EXT ANGLE SUM 360°
EACH EXT ANGLE 360 / 9 = 40°
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Fist-To-Thumbs?
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Next? Please write in a
sentence in the left or
right margin of your
notes to remember the
main idea.
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Assignment
Work On The Polygon Puzzle Scramble
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Closing – Formative
Assessment (Whiteboards)
Do on your own.
NAME __________
# SIDES _____10_______
INT ANGLE SUM _________
EACH INT ANGLE _________
EXT ANGLE SUM _________
EACH EXT ANGLE _________
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NAME DECAGON
# SIDES _10__
INT ANGLE SUM (10-2) X 180 =
1440°
EACH INT ANGLE 1440 / 10 = 144°
EXT ANGLE SUM 360°
EACH EXT ANGLE 36