Geometry Opener(s) 10/20 (10/9 & 11 – 13/14)
10/20
It’s National Brandied Fruit Day, World
Osteoporosis Day and World Statistics Day!!!
Happy Birthday John Krasinski, Snoop Dogg,
Viggo Mortensen, Danny Boyle, Thomas
Newman, Tom Petty, Eddie Harris, Empress
Michiko of Japan, Mickey Mantle, Joyce
Brothers, Art Buchwald, Jean-Pierre Melville,
Jelly Roll Morton, Bela Lugosi, Charles Ives,
John Dewey, Arthur Rimbaud and Christopher
Wren!!!
10/20
What to do today:
1. Do the opener.
2. Be amazed at a blobbiness demo.
3. Fold some paper.
4. Look at Mr. Keys’s iTunes.
5. Discuss how to measure musical success &
collate.
6. Discuss successful/non-successful singers &
collate.
7. Discuss valid success factors & collate.
8. Discuss ranges of success factors & collate.
9. √ HW.
10. Record HW assignment.
11. Begin a quiz.
12. Do the exit pass.
TODAY’S OPENER
1. Two angles are complementary. The
measure of one angle is 21 more than twice
Agenda
the measure of the other angle. Find the
1. Opener (5)
measures of the angles.
2. Blobbiness Demo (?)
2.
Find the length of each side of the polygon.
3. Individual Work: Paper folding & square labeling (3)
4. Lecture: What’s in my iTunes? (3)
5. Group Work 1: Musical Success – how do you
measure it? (8)
6. Discussion 1: Measure collation (6)
7. Group Work 2: Musical Success – who’s
successful and not successful? (8)
8. Discussion 2: Personality collation (6)
9. Group Work 3: Musical Success – which factors to
consider? (8)
10. Discussion 3: Factor # collation (6)
11. Group Work 4: Musical Success – how much of
each factor means success? (8)
12. Discussion 4: Factor ranges collation (6)
13. HW √: Kanji question answering & student board
work volunteers (15)
14. HW Assignment: (1)
15. Quiz (15)
16. Exit Pass (5)
Standard(s)
 CCSS-M-G-CO.A.1: Know precise definitions of various
geometric figures
Essential Question(s)
 How do I name and label geometric figures?
 How do I classify/name parts of angles?
 How do I determine missing angle measures?
 How do I formulate hypotheses and list criteria for
conclusions?
 How do I prove success?
Objective(s)
The Last Opener
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Students will be able to (SWBAT) correlate antiblobbiness with geometry.
SWBAT geometrically notate.
SWBAT classify and name parts of an angle.
SWBAT use the quality of bisection & special angle
relationships to determine missing angle measures.
SWBAT formulate a hypothesis.
SWBAT list criteria to validate a hypothesis.
Exit Pass (10/9 – 13/14)
The Last Exit Pass
⃡ and 𝑩𝑫
⃡ are  .
Find the value of x so that 𝑨𝑪
HOMEWORK Period 1 & 7
Wksht. 1-4, p. 27 & 1-5, p. 30.
HOMEWORK Period 3, 5 and 8
Complete take-home angle measure and relationships quiz.
Extra Credit
Period 1 Period 2A Period 3
Mirian S. (12x)
Stephanie L.
(2x)
Oscar C.
Alexis S. (11x)
Jocelyn L. (8x)
Roxana (2x)
Melissa A. (5x)
Amal S. (12x)
Angel V.
Arely T. (3x)
Perla (5x)
Jose C.
Israel H. (7x)
Lesley S. (2x)
Jaime P.
Victor C.
Evelyn A.
Frank S.
Israel A.
Joshua P. (7x)
Rodrigo F. (2x)
Jaclyn C. (4x)
Ana O. (3x)
Alejandra G.
(5x)
Griselda Z. (2x)
Jiahui Lin (4x)
Nadia L. (6x)
Fabian R. (6x)
Anthony C.
(10x)
Carolina D. (2x)
Gabino G. (3x)
Bert F. (2x)
Jacob L.
Brandon S. (2x)
Anthony P. (2x)
Daniel P. (2x)
Jaime A.
William M. (4x)
Paul P. (2x)
Alicia R. (4x)
Gabriela O. (2x)
Jocelyn J.
Amanda S. (4x)
Ronny V. (7x)
Luis H.
Steffanie P.
Sierra (3x)
Angie H. (5x)
Rosario R. (3x)
Claudia M. (6x)
Kassandra G.
(11x)
Sonia
Catalina
Juan F.
Michelle S. (2x)
Josue A. (2x)
Javier D.
Ricardo D.
Michelle S.
Arslan A. (2x)
Cesar O. (4x)
Abrahan (2x)
Paulina (2x)
Omar R. (3x)
Period 5
Period 7
Period 8
Cesar H.
Maria M. (2x)
Jose C. (4x)
Rob C.
Antonio B.
(10x)
Rogelio G. (8x)
Eraldy B. (7x)
Carlos L. (6x)
Jesus H. (4x)
Jose D. (6x)
Brianna (2x)
Aurora G. (4x)
Erick (2x)
Solai (5x)
Gary C.
Jose G. (4x)
Anthony G.
Liz L.
Alex A. (2x)
Zilagi
Jonathan
Crystal
Anthony
Rob
Eraldy
Carmen A. (6x)
Ruby L. (8x)
Elizabeth A. (2x)
Cristian A. (3x)
Jennifer G.
Jenny Q. (2x)
Xochitl R. (2x)
Adriana H. (5x)
Jocelyn C. (7x)
Gabriela G. (6x)
Diego P. (13x)
Vicente Limon
(4x)
Jackie B. (6x)
Kamil (2x)
Gustavo C.
(13x)
Jose R. (5x)
Ana R. (6x)
Alfredo (2x)
Zelexus
Liliana F. (2x)
Danny G.
Julian E.
Jorge L. (2x)
Alejandra P.
Gerardo L. (2x)
Santiago H. (4x)
Bianca S.
Alejandra G.
Yuritzi
Jessica T.(10x)
Jose E.
Esmerelda (5x)
Fernando V. (3x)
Stephanie (4x)
Maria M. (6x)
Brian (2x)
Saul
Andrea N.
Lily
Ernesto
Blanca S. (2x)
Jessica C. (2x)
Plot these points!
NOW…
A (-6, 14)  B (-6, 7)
C (-9, 10)  D (-3, 10)
E (-11, 7)  F (-1, 7)
G (-1, 11)  H (-12, 1)
I (-9, 4)  J (-4, 4)
J  K (-6½ , 1)
K  L (-6½ , -6)
L  M (-8 , -4)
N (-10, -2) O (-5, -1)
P (3, 14)  Q (-1, 5)
R ( ½ , 8)  S (9, 8)
T (6, 8)  U (3, 1)
U  W (-½ , 4½)
U  V (-3, -4)
U  X (9, -5)
Y (-6, 10)
1. Find and name 4 right angles.
2. Find and name 2  lines.
3. Find and name the s within a
linear pair.
4. Find and name 2 supplementary
s.
5. Find and name 2 complementary
s.
6. Find and name an acute .
7. Find and name an obtuse .
8. Find and name a straight .
9. Find and name a reflex .
10. Find and name 2 vertical s.
11. What’s the length & midpoint
of 1 diagonal segment? (Show
work!)
12. What’s the length & midpoint
of 1 horizontal segment? (Show
work!)
13. What’s the kanji?
1. Find and name 4 right angles.
2. Find and name 2  lines.
3. Find & name the s w/in a linear pair.
4. Find and name 2 supplementary s.
5. Find and name 2 complementary s.
6. Find and name an acute .
7. Find and name an obtuse .
8. Find and name a straight .
9. Find and name a reflex .
10. Find and name 2 vertical s.
11. What’s the length & midpoint of 1
diagonal segment? (Show work!)
12. What’s the length & midpoint of 1
horizontal segment? (Show work!)
13. What’s the kanji?
What makes a
successful singer?
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Record sales
Money earned
Number of fans
#1 on iTunes
Award winner
Reaches the Top 10
Has a new album
Positive things being
said about them
Effort
Arena sales
Good music
Charity donations
Not just a singer!
Sponsors
Record labels
Good vocals
Public speaking
experience
Fan communication &
behavior
Popularity
Meaningful songs
Appearance/Good
looks
Responsible
Passionate about
singing
Good reputation
Lyrics
Voice
People they associate
with
Style
Pursued their dreams
Good manager
Went beyond others’s
expectations
Personality
Instruments
Beat
Good role model
Let’s pare it down!!!
Who’s a
successful
singer?
Eminem
Bruno Mars
Miley Cyrus
Lady Gaga
Michael Jackson
Justin Timberlake
Chief Keefe
Paramore
Beyonce
Rihanna
Katy Perry
Mariah Carey
Drake
Justin Bieber
Tupac
Selena Gomez
Brittney Spears
One Direction
Jenny Rivera
The Wanted
Ace Successful
Future
Clara
Kelly Rowland
Ariana Grande
Lil Wayne
Who’s an
Unsuccessful
singer?
Selena Gomez
Lady Gaga
Will Smith
Shaq
Miley Cyrus
Brittney Spears
Lil Wayne
Justin Bieber
Kanye West
Chief Keefe
Taylor Swift
2 Chainz
Chris Brown
Rebecca Black
Lil Jojo
Lil Snoop
What makes a
successful singer?
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Record sales
Money earned
Number of fans
#1 on iTunes
Award winner
Reaches the Top 10
Has a new album
Positive things being
said about them
Effort
Arena sales
Good music
Charity donations
Not just a singer!
Sponsors
Record labels
Good vocals
Public speaking
experience
Fan communication &
behavior
Popularity
Meaningful songs
Appearance/Good
looks
Responsible
Passionate about
singing
Good reputation
Lyrics
Voice
People they associate
with
Style
Pursued their dreams
Good manager
Went beyond others’s
expectations
Personality
Instruments
Beat
Good role model
Let’s pare it down!!!
Who’s a
successful
singer?
Record Sales
Money Earned
Number of Fans
#1 Songs on iTunes
Awards Won
Songs Reaching the Top 10
Arena (Concert Ticket) Sales
Charity Donations
Sponsors
Multiple Jobs/Roles
Record Labels
New/Interview Appearances
Best Dressed List
Crime Record
Clothing/Accessory Line
Longevity
Eminem
Bruno Mars
Miley Cyrus
Lady Gaga
Michael Jackson
Justin Timberlake
Chief Keefe
Paramore
Beyonce
Rihanna
Katy Perry
Mariah Carey
Drake
Justin Bieber
Tupac
Selena Gomez
Brittney Spears
One Direction
Jenny Rivera
The Wanted
Ace Successful
Future
Clara
Kelly Rowland
Ariana Grande
Lil Wayne
Who’s an
Unsuccessful
singer?
Selena Gomez
Lady Gaga
Will Smith
Shaq
Miley Cyrus
Brittney Spears
Lil Wayne
Justin Bieber
Kanye West
Chief Keefe
Taylor Swift
2 Chainz
Chris Brown
Rebecca Black
Lil Jojo
Lil Snoop
What makes a successful
singer?
What’s at the
unsuccessful
end?
What’s at the
successful end?
1. Record Sales
1. $100,000
1. $20,000,000
2. Net Worth
2. $20,000
2. $50,000,000
3. Number of Fans
3. Thousands
3. Millions
4. #1 Songs on iTunes
4. 1
4. 5
5. Awards Won
5. 4
5. 10
6. Songs Reaching the Top 10
6. 1
6. 11
7. Arena (Concert Ticket) Sales
7. $5,000
7. $10,000,000
8. Charity Donations
8. No
8. Yes
9. Sponsors
9. None
9. 2
10.Multiple Jobs/Roles
10.No
10.2
11.Record Labels
11.No major label
11.2
12.New/Interview Appearances 12.None
12.10
13.Best Dressed List
13.0
13.2
14.Crime Record
14.7 ‘arrests’
14.2 ‘arrests’
15.Clothing/Accessory Line
15.No
15.Yes
16.Less than a year
16.3 years
16. Longevity
Who’s a
successful
singer?
Selena Gomez
Lady Gaga
Will Smith
Shaq
Miley Cyrus
Brittney Spears
Lil Wayne
Justin Bieber
Kanye West
Chief Keefe
Taylor Swift
2 Chainz
Chris Brown
Rebecca Black
Lil Jojo
Lil Snoop
Eminem
Bruno Mars
Michael Jackson
Justin Timberlake
Paramore
Beyonce
Rihanna
Katy Perry
Mariah Carey
Drake
Tupac
One Direction
Jenny Rivera
The Wanted
Ace Successful
Future
Clara
Kelly Rowland
Ariana Grande
Is Britney Spears is a SUCCESSFUL SINGER?
Statements
Reasons
Britney has record sales of $30,000,000 for 2013 so she
may be successful.
www.britneyspears.com/
Britney Piece of Me
Success Law 1: A successful singer has $20,000,000 or
more in record sales.
Britney’s net worth is $220,000,000 so she may be
successful.
http://www.celebritynetworth.com/richestcelebrities/singers/britney-spears-net-worth/Celebrity
Networth
Success Law 2: A successful singer has a net worth of
$50,000,000 or more.
Britney has 35,000,000 tweet followers so she may be
successful.
https://twitter.com/britneyspears
Britney Spears
Success Law 3: A successful singer has a million or
more fans.
Britney has won 11 Billboard awards so she may be
successful.
http://en.wikipedia.org/wiki/List_of_awards_and_nomina
tions_received_by_Britney_Spears
List of awards and nominations received by Britney
Spears
Success Law 5: A successful singer has won 10 or
more awards.
Britney has donated to or supported 12 different
charities, primarily the Britney Spears Foundation so
she may be successful.
http://www.looktothestars.org/celebrity/britney-spears
Look to the Stars
Success Law 8: A successful singer has donated to
charities.
Britney has been a singer and a television host…of The
X Factor so she may be successful.
http://www.biography.com/people/britney-spears9542229
bio. True Story.
Success Law 10: A successful singer has filled 2 or
more job roles.
Britney made her singing debut in 1998 and has had a
single on the charts every year (except 2006) since
then…15 years so she may be successful.
http://www.billboard.com/articles/list/464875/britneyspears-20-biggest-billboard-hits
billboardbiz
Success Law 16: A successful singer has been in the
business for at least 3 years.
Britney is a successful singer.
Rule of +7: If a singer fulfills 7 success
laws, he or she’s a successful singer.
[Rule of -7: If a singer doesn’t fulfill 7
success laws, he or she isn’t a
successful singer.]
Less than 7 pieces of
evidence in improper
format.
59-%
7 pieces of evidence in 60+%
proper format. Details?
7 pieces of evidence in
proper format with
70+%
conclusion. Details?
7 pieces of evidence in 80+%
proper format with
conclusion PLUS
POSTER. Details?
7 pieces of evidence in 90%+
proper detailed format
with conclusion PLUS
POSTER… with
illustrations.
Name
Plane
Line
Ray
Segment
Point
Collinear
Noncollinear
Coplanar
NonCoplanar
Definition
A flat 2-dimensional (length
and width) surface that
extends forever above,
below, to the right and to
the left and is defined by 3
points.
A straight 1-dimensional
(length) set of points that
extends forever in 2
directions (left and right OR
up and down) and is defined
by 2 points.
A straight 1-dimensional
(length) set of points that
extends forever in 1
direction (left OR right OR
up OR down) and is defined
by 2 points, one of which is
an initial end point.
A straight 1-dimensional
(length) set of points that
does not extend forever and
is delimited by 2 endpoints.
A 0-dimensional dot that
simply defines a location.
An adjective that describes
points contained on the
same line.
An adjective that describes
points NOT contained on the
same line.
An adjective that describes
usually non-collinear points
contained in the same plane.
An adjective that describes
points NOT contained in the
same plane.
Figure
Notation
Congruent
Two geometric figures that
have the same SIZE and
SHAPE.
NOTES: Don’t Dis -Dis (or ‘Midpoints Part 2’)
10-4
How many words can you write down that begin with the prefix ‘dis-‘,
meaning apart or away or having a reversing force?
disable
disarrange
disembark
disinterred
disagree
disapprove
disentangle
dislike
disadvantage
disbelieve
disinfect
dislocate
disallow
discomfort
disinformation
dislodge
disappear
discontented
disinterest
disloyal
DISTANCE
X
Y
Given: A Number Line with 2 endpoints
distance
Objective: Find the
Step 1. Write the number values as a difference.
Step 2. Put absolute value signs around the difference.
Step 3. Subtract the number values and take the absolute
value.
Formula:
| 𝑿 − 𝒀 | or | 𝒀 − 𝑿 |
Title: Finding the length of a number line segment
(X, Y)
(X, Y)
(X, Y)
Given: A Coordinate Plane with 2 endpoints Objective: Find the distance
Step 1. Subtract the two x-coordinates…x1 and x2 .
Step 2. Square the difference.
Step 3. Subtract the two y-coordinates…y1 and y2 .
Step 4. Square the difference.
Step 5. Add the two differences.
Step 6. Take the square root of that sum.
Formula: √(𝐱 𝟐 − 𝐱 𝟏 )𝟐 + (𝐲𝟐 − 𝐲𝟏 )𝟐
Title: Finding the length of a coordinate plane segment
What’s new?
Why does this work???
9-26
NOTES: The Bible of Bi-
How many words can you write down that begin with the prefix ‘bi-‘?
1. bipolar
2. bisexual
3. binoculars
4. bifocals
5. biannual,
bimonthly,
biweekly,
bicentennial
6. binary
7. bipolar
8. bisexual
9. binoculars
10.
bifocals
11.
biannual,
bimonthly,
biweekly,
bicentennial
12.
binary
X
Given: A Number Line with 2 endpoints
13.
bipolar
14.
bisexual
15.
binoculars
16.
bifocals
17.
biannual,
bimonthly,
biweekly,
bicentennial
18.
binary
Y
Objective: Find the midpoint
Step 1. Add the number values for the two segment endpoints.
Step 2. Divide by 2.
Formula:
𝑿+𝒀
𝟐
Title: Finding the midpoint of a number line segment
A
B
Given: A Coordinate Plane with 2 endpoints
Step 1.
Step 2.
Step 3.
Step 4.
Formula:
Objective: Find the midpoint
Add the X coordinates of the segment endpoints.
Divide by two.
Add the Y coordinates of the segment endpoints.
Divide by two.
𝑿𝟏 + 𝑿𝟐 𝒀𝟏 + 𝒀𝟐
(
,
)
𝟐
𝟐
Title: Finding the midpoint of a coordinate plane segment
What’s new?
NOTES: Rays, Angles & Protractors
Name
Definition
2. Angle ()
An initial point or endpoint with an
infinite number of points extending in
one direction.
2 rays that share the same endpoint.
3.  side
Each ray that makes up the angle.
4. Degree
1/360th of a full circle.
1. Ray
5. Degree measure How open/closed the angle is in
degrees.
Figure
10/7
Notation
⃡𝐼𝐹
BED
⃡𝐼𝐹
°
23°
6.  arc
The curved line inside an angle that
distinguishes its interior from its
exterior.
A curved line touching the
two rays of an angle.
7. Vertex of an 
The endpoint of the two sides of an
angle.
A single uppercase printed
letter: the middle letter of
a named angle. (B in
ABC)
8. Interior of an 
The inside of an angle, denoted by the
arc. (yellow)
9. Exterior of an 
The outside of an angle, denoted by
the ABSENCE of an arc. (green)
10.Right 
An angle formed by 2 perpendicular
rays, its measure equal to 90°.
mABC = 90°
11.Acute 
An angle formed by 2 rays, its
measure less than 90°.
mABC < 90°
12.Obtuse 
An angle formed by 2 rays, its
measure greater than 90°.
180 > mABC > 90°
13.Reflex 
An angle formed by 2 rays, its
measure greater than 180°.
360 > mABC > 180°
14.Straight 
An angle formed by 2 opposite rays,
its measure equal to 180°.
mABC = 180°
15.Congruent s
2 angles that have the same degree
measure.
ABC ≅ DEF
16. Bisector
A ray with an endpoint that is
identical to the vertex of an angle and
which divides that angle in half.
17.Adjacent s
18.Complementary
s
19.Supplementary
s
20.Vertical s
21.Linear Pair
BG
10/14/14
Copying & Bisecting an Angle
Copying an Angle
1. Draw a ray.
2. Label its endpoint U.
3. Draw another non-collinear ray
that shares the 1st ray’s endpt.
4. Draw another separate ray…
far away from the angle.
5. Label its endpt. L
6. Draw an arc in your  from 1
side to the other. (Don’t
change your compass’s width!)
7. Label the intersection points B and G.
8. Draw the same arc on your
3rd ray.
9. Label its intersection point Y.
10.Draw a 2nd arc in your  with compass pt.
on G and pencil point on B. (Don’t change
your compass’s width!)
11.Draw the same arc on your 3rd ray.
12.Label the intersection point F.
13.Connect L to F.
Bisecting an Angle
1. Draw an angle.
2. Label its vertex A.
3. Draw an arc in your angle
from one side to the other.
4. Label the intersection pts. W and P.
5. Draw an arc with your compass pt.
on W, at least ½ -way across the
interior. (Don’t change your
compass’s width!)
6. Draw the same arc from your P.
7. Label the intersection point of
those 2 arcs S.
8. Connect A to S.