1. Opener
a) Evaluate: for b = -3
b) Simplify:
c) Simplify:
d) What is the most requested main meal?
Basic Angles and Poolroom Math
Quote of the Day
Inspiration is needed in geometry, just as much as in poetry.
ALEKSANDR PUSHKIN
ANGLES
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
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
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
EXAMPLE A
Name all the angles in these drawings.
Which angle seems big to you? Which seems small?
D
F
E
2. Notes - Basic Angles
D
F
E
2 . Notes - Basic Angles
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
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
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
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
4. Notation
To show themeasure of anangle, use an mbefore the anglesymbol. For example, meansthe measure of is 34 degrees.
34ZAPm
ZAP
5. Notation
EXAMPLE B
2.1 Angle Measuring
• Work with a partner
6. Virtual Pool
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?
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?
STEP 3How would you hit the white ball against the cushion so that the ball passes over the same spot on the way back?
STEP 4How would you hit the ball so that it bounces off three different points on the cushions without ever touching cushion ?CP
7. EXIT SLIP
1. Name each angle three different ways.
2.
4. Homework - all questions no exceptions
LESSON 1.4: 12; 29-32; 42-43; 79; 83-84
2.2 Poolroom Math Worksheet completed