1.Opener a) Evaluate: for b = -3 b) Simplify: c) Simplify:
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Transcript of 1.Opener a) Evaluate: for b = -3 b) Simplify: c) Simplify:
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1. Opener
a) Evaluate: for b = -3
b) Simplify:
c) Simplify:
d) What is the most requested main meal?
Basic Angles and Poolroom Math
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Quote of the Day
Inspiration is needed in geometry, just as much as in poetry.
ALEKSANDR PUSHKIN
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ANGLES
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2. Notes - Basic Angles
Point F – VERTEX of the angle
Vertex: The common endpoint of the two rays of an angle.
D
F
E
1
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2. Notes - Basic Angles
What We Can Write
EFDDFEF
Vertex: The common endpoint of the two rays of an angle.
D
F
E
1
1
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What We Can’t Write
F
What We Can Write
CFEEFC
EFD
DFE
1
2D
F
E
C
12
CFD
DFC
2. Notes - Basic Angles
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EXAMPLE A
Name all the angles in these drawings.
Which angle seems big to you? Which seems small?
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D
F
E
2. Notes - Basic Angles
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D
F
E
2 . Notes - Basic Angles
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Right Angles
• Angles with one corner equal to 90 degrees
• It doesn’t matter which way the corner is facing
3 . Notes – Types of Angles
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Acute Angles
• Angles with one corner less than 90 degrees
• It doesn’t matter which way the corner is facing
3 . Notes – Types of Angles
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Obtuse Angles
• Angles with one corner greater than 90 degrees
• It also doesn’t matter which way the corner is facing
3 . Notes – Types of Angles
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But don’t get stressed out.Here are a few ways to remember which angle is
which.
• The letter “a” comes before the letter “o” in the alphabet. “a” for acute, represents a smaller angle (less than 90 degrees) than “o” for obtuse (an angle greater than 90 degrees)
• The letter “r” for right triangle, represents an angle that can sit up right with one line straight out connected to another line straight up
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4. Notation
To show themeasure of anangle, use an mbefore the anglesymbol. For example, meansthe measure of is 34 degrees.
34ZAPm
ZAP
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5. Notation
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EXAMPLE B
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2.1 Angle Measuring
• Work with a partner
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6. Virtual Pool
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STEP 1Use your protractor to find the measure of 1.
Which is the correct outgoing angle?
Which point—A or B—will the ball hit?
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STEP 2Which point on the cushion—W, X, or Y—should the white ball hit so that the ray of the outgoing angle passes through the center of the 8-ball?
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STEP 3How would you hit the white ball against the cushion so that the ball passes over the same spot on the way back?
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STEP 4How would you hit the ball so that it bounces off three different points on the cushions without ever touching cushion ?CP
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7. EXIT SLIP
1. Name each angle three different ways.
2.
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4. Homework - all questions no exceptions
LESSON 1.4: 12; 29-32; 42-43; 79; 83-84
2.2 Poolroom Math Worksheet completed