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Bellwork
1. Pick up an “Anticipation Guide” and write in your responses. This will help you know what we are GOING to learn and you ALREADY know!
2. Earn Regular and EC by going to the board to show how you did the problems from your homework.
3. Got Kleenex/Candy? If so, bring it up to the brown table. If not, would you consider shopping for some this weekend?
Participation
Required Problem Presentations
1 time per chapter
10 Homework Points + 1 Math Ticket
Additional Problem Presentations
As many times as you’d like!!
Additional Math Tickets
Math Ticket Redemption
1 Math Ticket 1 Extra Credit Homework Point
3 Math Tickets 1 Quiz Extra Credit Point
5 Math Tickets 1 Test Extra Credit Point
1.1 Points, Lines and PlanesStudents 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. Does a point have size? 2. Can you measure a point?3. Does a line have length? 4. Can you measure a line? 5. How many points are on a line?
Group Discussion: Planes
1. Does a plane have dimensions? 2. Does it have thickness? 3. How many points does it contain? 4. 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. intersects plane U at P.2. Plane U intersects in more than one point.3. A, P and D are collinear.4. The intersection of l and m is U.
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Practice
1. Name a point.2. Name a line.3. Name a plane.
Practice
1. What point is coplanar with Q, P and R?2. Are there any points on besides T and W?3. Does lie in plane A?4. Name a point collinear with M and X.
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Practice
Draw the following:
1. and intersect at C.2. lies in plane M.3. G, H and J are non-collinear points.
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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 ? 4. What is the intersection of and ?5. Name a point that is coplanar with A, B and C.
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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: # of Dimensions
How to Name:
Draw an Example:
Points
Lines
Planes