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Lesson 1 Part 2 January 13, 2015
Little Piece of RandomMiss C's
Students learn MORE when THEY initiate an activity and are actively engaged in it
Kahoot! Project
Lesson 1 Part 2 January 13, 2015
AnnouncementsClassroom Folders
Notebook Guide & TargetsClass Handouts/CutoutsHomeworkExtras
Lesson 1 Part 2 January 13, 2015
AnnouncementsHomework
Lesson 1 Part 2 January 13, 2015
Weekly ForecastMiss C's
Monday Tuesday Wednesday Thursday Friday
Break Break Break Break Break
Geometry in Life: Choose
Your Path
Pre-assessment
Quiz 1.1Intro to Notes
Point, Line, PlaneLesson 1 Part 1
Warm-Up ActivityLesson 1 Part 2
Point, Line, PlaneLesson 1 Part 2
Lesson 1 Kahoot!
Segments & RaysLesson 2
Lesson 1 Part 2 January 13, 2015
Lesson 1 Part 2Postulates and Theorems
Lesson 1 Part 2 January 13, 2015
1) Model each situation using the supplies you were given.
2) Draw a diagram on your paper & answer the question.
Lesson 1 Part 2 January 13, 2015
Postulates & Theoremsabout
Points, Lines, and Planes
Lesson 1 Part 2 January 13, 2015
A statement that is accepted as fact. Postulate are used to prove other statements in Geometry.
Postulate
Lesson 1 Part 2 January 13, 2015
Exists: "At least one"(but maybe more)
Unique: "Only one" "Exactly one"
"One and only one"
Lesson 1 Part 2 January 13, 2015
Imagine two points. How many lines could contain them both?
#1
ONE
Lesson 1 Part 2 January 13, 2015
Postulate 1-1 Through any two points there is exactly one line.
A B tLine t is the ONLY line that passes through both points A and B.
UNIQUE
Lesson 1 Part 2 January 13, 2015
AB
C
INFINITE
Imagine three collinear points. How many planes could contain them all?
EXISTS
#2
Lesson 1 Part 2 January 13, 2015
Imagine three non collinear points. How many planes could contain them all?
UNIQUENoncollinear
ONE
#2
Lesson 1 Part 2 January 13, 2015
Postulate 1-4 Through any three noncollinear points there is exactly one plane.
Plane P is the ONLY plane that contains points R, Q, and S.
UNIQUE
Lesson 1 Part 2 January 13, 2015
Imagine a line and a point not on the line. How many planes could contain them both?
UNIQUE
#3
ONE
Lesson 1 Part 2 January 13, 2015
Imagine two intersecting lines.How many planes could contain them both?
UNIQUE
#4
ONE
Lesson 1 Part 2 January 13, 2015
Imagine two parallel lines.How many planes could contain them both?
UNIQUEONE
Lesson 1 Part 2 January 13, 2015
4 Ways to Determine EXACTLY One Plane
1.
2.
AC
BM
A
A
X
X
3 noncollinear points
a line and a point NOT on the line
3. 2 intersecting lines
2 parallel lines4.
Lesson 1 Part 2 January 13, 2015
Kahoot!3 noncollinear points
a line and a point NOT on the line
# of Planes containing both
INFINITE
Reasoning
E, A and D Exactly ONE
FC and DC 2 intersecting linesExactly ONE
line m and F Exactly ONE
line m and E infinite # of planes pass thru ONE line
E and C INFINITE exactly ONE line thru two given points (Post.1-1) infinite # of planes pass thru ONE line
Lesson 1 Part 2 January 13, 2015
ALWAYS
#5
Lesson 1 Part 2 January 13, 2015
A POINT
Imagine intersection of two lines .
UNIQUE
#6A
Lesson 1 Part 2 January 13, 2015
Postulate 1-2 If two distinct lines intersect, then they intersect in exactly one point.
A
AE and DB intersect in point C.
D
B
E
C
UNIQUE
Lesson 1 Part 2 January 13, 2015
A LINE
Imagine intersection of two planes .
UNIQUE
#6B
Lesson 1 Part 2 January 13, 2015
Postulate 1-3 If two distinct planes intersect, then they intersect in exactly one line.
Plane RST and WST intersect in ST
UNIQUE
Lesson 1 Part 2 January 13, 2015
Sometimes you are asked to state a particular postulate to
support an answer.
You may NOT write "Postulate 1-2"
The Postulate numbers are different in every text book!
Lesson 1 Part 2 January 13, 2015
Paste into your notebook at the end of lesson 1
Lesson 1 Part 2 January 13, 2015
HOMEWORK:
1. Lesson 1 Part 2 PRACTICE2. Lesson 2 NOTES
