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