Geometry Opener(s) 9/23(x)
9/23
It’s Celebrate Bisexuality Day, Dogs in Politics
Day, National Woman Road Warrior Day, Restless
Legs Syndrome Awareness Day and World Day of
Peace!!! Happy Birthday Ani DiFranco, William C.
McCool, Jason Alexander, Bruce Springsteen,
Mary Kay Place, Julio Iglesias, Les McCann, Ray
Charles, John Coltrane, Mickey Rooney, Louise
Nevelson, Walter Pidgeon, Typhoid Mary and
Kublai Khan!!!
9/23
What to do today:
1. Do the opener.
2. Hand in HW.
3. Receive class formalities.
4. Show curiosity at an anti-blob.
5. Watch a video and answer some ?s.
6. Honors: Take some notes.
7. Record some models.
8. Practice betweenness.
9. Present work.
10. Correct HW.
11. Take a quiz and a retake.
12. Do the exit pass.
TODAY’S OPENER
Agenda
1. Opener/HW collection (5)
2. Class Formalities Check-in (2)
3. Blobbiness Demo (?)
4. Video 1 & Disc.: Betweenness and Facebook (15)
5. Honors: Revisit Precision & Practice (15)
6. Video 2: Betweenness Models (15)
9 13 15
7. Practice and Board Work: Computer Room
Betweenness (20)
8. HW cx 1 [Presentations] (15)
9. HW cx 2 (15)
10. Quiz Revision (10)
11. Exit Pass (5)
Standard(s)
 CCSS-M-G-CO.A.1: Know precise definitions of angle,
circle, perpendicular line, parallel line and line segment,
based on the undefined notions of point, line, distance
along a line and distance around a circular arc.
Essential Question(s)
 How do I name and label geometric figures?
 How do I measure items in English and metric?
 How do I find missing segment measures?
Objective(s)
 Students will be able to (SWBAT) correlate antiblobbiness with geometry.
 SWBAT geometrically notate.
 SWBAT accurately measure using the metric
system.
 SWBAT accurately measure using the English
system.
 SWBAT find missing segment measures by using
betweenness.
The Last Opener
Find the value of the variable and KL if K is between J and
L. (Use TWO opener squares!)
1. JK = 6r, KL = 3r and JL = 27
2. JK = 2s, KL = s + 2 and JL = 5s – 10.
Exit Pass
The Last Exit Pass
Here are two intersecting planes. Copy the picture onto your opener
page.
 What are the names of the 2 planes? (In other words, notate
them!)
 Label the line of intersection.
 What is the name of that line? (In other words, notate it!)
HOMEWORK Period 1 & 7
No Homework tonight. Study for your quiz!
HOMEWORK Period 2a, 3, 5 and 8
No Homework tonight. Study for your quiz!
Betweenness and Social Networks
http://vimeo.com/17507027
1. What do nodes represent?
2. What do lines between them represent?
3. If you pass a message to a most-connected
node, what will he or she do with it?
4. What does betweenness centrality or
shortcuts allow social networks to do?
Period 1
Mirian S. (7x)
Stephanie L.
Oscar C.
Alexis S. (3x)
Jocelyn L. (3x)
Roxana (2x)
Melissa A. (2x)
Amal S. (3x)
Angel V.
Arely T.
Perla
Jose C.
Extra Credit
Period 3 Period 5 Period 7
Alicia R. (3x)
Gabriela O. (2x)
Anthony C. (5x)
Jocelyn J.
Amanda S. (2x)
Ronny V.
Luis H.
Steffanie P.
Sierra (2x)
Angie H. (4x)
Rosario R.
Claudia (2x)
Kassandra G (4x)
Sonia
Catalina
Juan F.
Michelle S.
Josue A.
Javier D.
Cesar H.
Maria M. (2x)
Jose C. (4x)
Rob
Jose
Antonio B. (3x)
Rogelio G. (3x)
Eraldy B. (2x)
Carlos L. (2x)
Jesus H. (3x)
Jose D. (2x)
Brianna
Aurora G.
Erick
Solai
Crystal
Anthony
Rob
Eraldy
Carmen A. (4x)
Ruby L. (2x)
Elizabeth A.
Cristian A. (2x)
Jennifer G.
Jenny Q.
Xochitl R.
Adriana H.
Jocelyn C. (4x)
Gabriela G. (3x)
Diego P. (4x)
Vicente Limon
(3x)
Jackie B. (3x)
Kamil (2x)
Israel
Gustavo C. (3x)
Jose R.
Ana R.
Alfredo
Period 8
Jorge L. (2x)
Alejandra P.
Gerardo L. (2x)
Santiago B. (2x)
Bianca S.
Alejandra G.
Yuritzi
Jessica T.(4x)
Jose E.
Esmerelda (2x)
Fernando V. (2x)
Stephanie
Maria M.
Brian
Saul
Name
Plane
Line
Ray
Segment
Point
Collinear
Noncollinear
Coplanar
NonCoplanar
Congruent
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.
Two geometric figures that
have the same SIZE and
SHAPE.
Figure
Notation
NOTES: Measurements
Metric System
1 millimeter = 1 mm
1 centimeter = 1 cm (10 mm) -> cm * 10 = mm
1 meter = 1 m (100 cm) -> m * 100 = cm
1 kilometer = 1 km (1000 m) -> km * 1000 = m
Betweenness and Addition
Step 1. RS + ST = RT
Step 2. 2.0cm + 2.5cm = 4.5cm
9-19
English System
1 inch = 1 in
1 foot = 1 ft (12 in) -> ft * 12 = in
1 yard = 1 yd (3 ft) -> yd * 3 = ft
1 mile = 1 mi (5280 ft) -> mi * 5280 = ft
Betweenness and Subtraction
Step 1.
Step 2.
Step 3.
Step 4.
AB + BC = AC
2 ¾ in + BC = 6in
2 ¾ in – 2 ¾ in + BC = 6in – 2 ¾ in
BC = 3 ¼ in
Betweenness Law: A point D is between C and E if they are all collinear
& CD + DE = CE!!!!
In other words, little piece plus little piece equals big piece!
+
Find x and RS if S is betw. R & T.
RS = 5x, ST = 3x and RT = 48
=
Find x and RS if S is betw. R & T.
RS = 2x, ST = 5x + 4 and RT = 32
NOTES: Precision
Metric Precision
32 mm
9-19
English Precision
10 in.
Step 1. Look at the place value of the last
digit.
Step 2. Multiply by .5
Step 3. Subtract that # for the low end
precision.
Step 4. Add that # for the high end
precision.
Step 5. Your measurement is ACCURATE
WITHIN THAT RANGE!
Step 1. Look at the place value of the last
digit.
Step 2. Multiply by ½
Step 3. Subtract that # for the low end
precision.
Step 4. Add that # for the high end
precision.
Step 5. Your measurement is ACCURATE
WITHIN THAT RANGE!
EXAMPLE:
1. The last place value above is the ones.
2. 1 * .5 = .5
3. Subtract…31.5
4. Add…32.5
5. Your measurement is accurate within
the range from 31.5 to 32.5.
EXAMPLE:
1. The last place value above is the ones.
2. 1 * ½ = ½
3. Subtract…9 ½
4. Add…10 ½
5. Your measurement is accurate within
the range from 9 ½ to 10 ½ .
Metric Precision
3.5 mm
Metric Precision
English Precision
2 ½ yd.
English Precision
Step 1. Look at the place value of the last
digit.
Step 2. Multiply by .5
Step 3. Subtract that # for the low end
precision.
Step 4. Add that # for the high end
precision.
Step 5. Your measurement is ACCURATE
WITHIN THAT RANGE!
Step 1. Look at the place value of the last
digit.
Step 2. Multiply by ½
Step 3. Subtract that # for the low end
precision.
Step 4. Add that # for the high end
precision.
Step 5. Your measurement is ACCURATE
WITHIN THAT RANGE!