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Lesson 1 Part 2 January 13, 2015 Little Piece of Random Miss C's Students learn MORE when THEY initiate an activity and are actively engaged in it Kahoot! Project
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Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

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Page 1: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

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

Page 2: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

Lesson 1 Part 2 January 13, 2015

AnnouncementsClassroom Folders

Notebook Guide & TargetsClass Handouts/CutoutsHomeworkExtras

Page 3: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

Lesson 1 Part 2 January 13, 2015

AnnouncementsHomework

Page 4: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

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

Page 5: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

Lesson 1 Part 2 January 13, 2015

Lesson 1 Part 2Postulates and Theorems

Page 6: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

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.

Page 7: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

Lesson 1 Part 2 January 13, 2015

Postulates & Theoremsabout

Points, Lines, and Planes

Page 8: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

Lesson 1 Part 2 January 13, 2015

A statement that is accepted as fact. Postulate are used to prove other statements in Geometry.

Postulate

Page 9: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

Lesson 1 Part 2 January 13, 2015

Exists: "At least one"(but maybe more)

Unique: "Only one" "Exactly one"

"One and only one"

Page 10: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

Lesson 1 Part 2 January 13, 2015

Imagine two points. How many lines could contain them both?

#1

ONE

Page 11: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

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

Page 12: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

Lesson 1 Part 2 January 13, 2015

AB

C

INFINITE

Imagine three collinear points. How many planes could contain them all?

EXISTS

#2

Page 13: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

Lesson 1 Part 2 January 13, 2015

Imagine three non collinear points. How many planes could contain them all?

UNIQUENoncollinear

ONE

#2

Page 14: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

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

Page 15: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

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

Page 16: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

Lesson 1 Part 2 January 13, 2015

Imagine two intersecting lines.How many planes could contain them both?

UNIQUE

#4

ONE

Page 17: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

Lesson 1 Part 2 January 13, 2015

Imagine two parallel lines.How many planes could contain them both?

UNIQUEONE

Page 18: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

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.

Page 19: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

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

Page 20: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

Lesson 1 Part 2 January 13, 2015

ALWAYS

#5

Page 21: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

Lesson 1 Part 2 January 13, 2015

A POINT

Imagine intersection of two lines .

UNIQUE

#6A

Page 22: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

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

Page 23: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

Lesson 1 Part 2 January 13, 2015

A LINE

Imagine intersection of two planes .

UNIQUE

#6B

Page 24: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

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

Page 25: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

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!

Page 26: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

Lesson 1 Part 2 January 13, 2015

Paste into your notebook at the end of lesson 1

Page 27: Kahoot! Projectgcmath.weebly.com/uploads/2/1/1/5/21159736/lesson_1_part_2.pdf · Lesson 1 Part 2 January 13, 2015 Imagine two parallel lines. How many planes could contain them both?

Lesson 1 Part 2 January 13, 2015

HOMEWORK:

1. Lesson 1 Part 2 PRACTICE2. Lesson 2 NOTES