1.1a Points, Lines and Planes

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brown table. If not, would you consider
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1.1 Points, Lines and
Planes
Students will use points, lines and planes to model every day
items. Students will identify collinear and coplanar points
and intersecting lines in space.
Today’s Group Discussion Rules
1. Each person shares at least twice.
2. The tallest person is the scribe and writes
down ideas.
3. The shortest person will speak for the
group.
Group Discussion: Lines
With your group formulate your answers to the
following questions:
1.
2.
3.
4.
5.
Does a point have size?
Can you measure a point?
Does a line have length?
Can you measure a line?
How many points are on a line?
Group Discussion: Planes
1.
2.
3.
4.
Does a plane have dimensions?
Does it have thickness?
How many points does it contain?
How many lines?
FOLDABLE NOTES
• You will need a pair of scissors
• Pen/pencil or marker
Pick a point.
Now tell me which point you
chose…
Point
• It is dimensionless – 0 dimensions
• Named with a capital letter
• Name a point from the figure below.
Name a line…
Lines
• Is 1 dimensional (length)
• Contains an infinite number of points.
• Is written using any TWO points on the line or
ONE lower case script letter
• Name a line.
Planes
• Is 2 dimensional – (length and width)
• Is written using either ONE capital script letter or THREE
non-collinear points on the plane. (Note : Some texts
use FOUR).
• Name the plane shown below.
Collinear– (a definition)
• Points that line on the same line
• Any two points are collinear.
• Name three collinear points.
Coplanar – A definition
• Points that line on the same plane
• Any three non-collinear points are coplanar.
• Name four coplanar points.
Man Over Board
• Each student gets a marker board, marker and
eraser.
• When the problem is presented, each students
works PRIVATELY on their board.
• When they feel they’ve done all he/she can or
solves the problem, he/she turns in face down
and waits for the rest of the group.
• In each group there is a “Captain,” who will say
“MAN OVER BOARD” when he/she sees
everyone is finished.
Man Over Board
• At that point, students will debate their
answers.
• The goal is communication! Ask questions
like “Why?” or “How did you know that?”
Captains please facilitate discussion by
making sure that everyone has shared
their ideas.
• If you did something wrong, be able to
explain what you did wrong and, perhaps,
why.
Practice
TRUE or FALSE? Why?
1. DP intersects plane U at P.
2. Plane U intersects DP in more than one point.
3. A, P and D are collinear.
4. The intersection of l and m is U.
Practice
1. Name a point.
2. Name a line.
3. Name a plane.
Practice
1.
2.
3.
4.
What point is coplanar with Q, P and R?
Are there any points on TW besides T and W?
Does WM lie in plane A?
Name a point collinear with M and X.
Practice
Draw the following:
1. AB and CD intersect at C.
2. EF lies in plane M.
3. G, H and J are non-collinear points.
Ticket to Leave
Take out a ½ sheet of paper and answer the questions. When
you are finished, turn it on the brown table.
1. Name three collinear points.
2. Name plane EFG another way.
3. How many points lie on EC ?
4. What is the intersection of GH and IE ?
5. Name a point that is coplanar with A, B and C.
Homework:
• Pg. 9 # 1, 2, 6, 8-15, 24, 49
• Draw pictures!
“Without geometry, life is pointless.” 
Study Stack:
http://www.studystack.com/studytable
-45936
2014
I spend two days on this lesson.
Let’s fill in the details:
Term:
Points
Lines
Planes
# of
Dimensions
How to
Name:
Draw an
Example:
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