Day 11. Pick a seat. Any seat.

2. Get a sheet. The circle sheet.

3. Cut out the circle.

4. Draw your face on the circle.

5. Hurry. We use time well in this class.

1

I’m greeting at the door. They come in and something is waiting for them. This sets the year off right as far as I’m concerned.

6. Your Homework Assignment

or

2

We use the instructions laid out on page 39 of the attachment. Offer them one homework or the other ... hold up a stack of handouts or tell them they have to make the icosahedron. As they’re pondering their options, start the timer.

7. Fill Out A Notecard a) What is your name? b) How old are you? c) What is your favorite school subject? d) What do you like about math? e) What do you dislike about math? f) What do you need to learn math best? g) Fill in the blank: when I get older I would like to ______.

3

1. Opener a) Solve: 2x - 3 = 15

b) Evaluate: for b = -4

c) Simplify:

d) Graph: (-3,2), (5,7), and (0,-2)

e) 3 + 7 - 2 + 5 + 10 + 2 - 17 + 2 - 5 + 2 - 7 = ?

f) What was the most popular boy name in 1991? What was the most popular girl name?

Day 2

€

b2 − 3

€

52 − 3• 4 − (2 + 7)

4

Michael & Jessica

Point: It has location and nothing else. No size. No height. No depth. No friends.

Line: A straight, unbroken set of points that goes on forever. It has infinite length but no thickness.

A

B

AB BA

A

Plane: A surface with length and width but no thickness.

2. Notes

5

We’re laying the groundwork for geometry right here. Setting ourselves up so we can talk this language.

3. Classwork pg. 29 // step one

6

Talk to a neighbor, a friend, a loved one, or yourself. Give us two examples of points, lines, and planes.

AB BA

Line Segment: A line that has two endpoints.

AB

Ray: A line with ONE endpoint.

YB

A AB AY

4. Notes

Coplanar: On the same plane

Collinear: On the same line F Z P

7

5. Classwork pg. 30 // picture at the bottom of the page

8

Which tennis balls are coplanar? Which sets of three are [source: Discovering Geometry]

€

AB ≅ AC

€

A B = A C

Ex:

A

B

C

2

2

1

What we CAN write:

€

AB = AC

€

A B ≅ A C

What we CAN’T write:

€

AC = BC

Equal=

NumbersAB

Congruent

€

≅

AB

€

AB = 2

€

A B = 2

6. Notes

Shapes

9

6. Notes

A

B

C

D

FG

H

10

You wanna say that two segments are congruent, you mark it in with cut marks. You wanna KEEP saying that segments are congruent, you keep on marking it up.

7. Classwork Write down every congruency statement.

A

B

C

D

FG

H

11

8. Notes Midpoint: The point on a segment that’s the same distance from

both endpoints.

3

B CD

3 D is the midpoint of BC

F

D

H H is the midpoint of FD

D

E

A A is the midpoint of DE

12

9. Classwork pg. 33 // #1 - 12, 18 - 26, 29 - 31

13

1. Opener a) Graph: (2,4), (-3,4), (2,-1), (-3,-1)

b) Graph: AB where A = (2,3) and B = (0,-2)

c) What has no size, no friends, only location?

d) What is the average of 17 and 33?

e) Name each of these three shapes.

Day 3

f) What does Manero’s Steakhouse in Greenwich, CN, give to any baby born in the restaurant?

14

Free food for life.

2. Notes - Midpoint Formula How do we find the exact center of a line segment?

(7,8)

(3,2)

15

Ask people to tell you what the points are. Ask them to put down what looks to be about the midpoint. Write the coordinate down. Decimals are okay.

2. Notes - Midpoint Formula How do we find the exact center of a line segment?

€

x1 + x22

, y1 + y22

Conjecture 1: Midpoint Conjecture

If your points are and then your midpoint is:

€

x1,y1( )

€

x2,y2( )

16

(7,8)

(3,2)

€

x1 + x22

, y1 + y22

€

7 + 32,8 + 22

€

102,102

(5,5)

€

5,5( )

2. Notes - Midpoint Formula Let’s make it work for us.

17

Have them notice that it’s two over, two up, two over, two up.

(-9,2)

(7,-6)

€

x1 + x22

, y1 + y22

€

−9 + 72

,2 + −62

€

−22,−42

(-1,-2)

€

-1,-2( )

2. Notes - Midpoint Formula One more time.

18

3. Classwork pg. 37 // #1 - 8

19

1. Opener a) Find the midpoint between (2,8) and (-2,-6)

b) The endpoint A of AB is at (1,7). The midpoint is at (2,4). Where is B?

c) Find the three quarterpoints along AB where A = (8,4) and B = (20, -4).

d) Given midpoint F = (8,10) along CD, find two possible endpoint coordinates for C and D.

e) What appetizer is most requested with a last meal?

Day 4

do personal pies, like algebra here.

20

french fries

21

AB BA

Line Segment: A line that has two endpoints.

AB

Ray: A line with ONE endpoint.

YB

A AB AY

4. Notes

Coplanar: On the same plane

Collinear: On the same line F Z P

22

2. Notes - Basic Angles

What We Can Write

EFD

DFE

F

Vertex: The common endpoint of the two rays of an angle.

D

F

E

1

1

23

What We Can’t Write

F

What We Can Write

CFE

EFC

EFD

DFE

1

2

D

F

E

C

1

2

CFD

DFC

2. Notes - Basic Angles

24

D

F

E

2. Notes - Basic Angles

25

Talk about acute vs. obtuse here.

D

F

E

2. Notes - Basic Angles

26

3. Measuring Angles Worksheet

4. Classwork pg. 42 // #1 - 5, 7 - 20

5. Break

6. Show and Tell

27

7. Moodle

28

Registering for our online course software.

8. Pool Table Problems The incoming angle equals the outgoing angle.

29

8. Pool Table Problems pg. 45 // 39, 40

30

8. Pool Table Problems pg. 45 // 39, 40

31

8. Pool Table Problems pg. 42 // steps 1 - 5

32

9. Donald in Mathemagic Land

33

The section on billiards: 16:40 through 22:08

1. Opener a) Name the this angle in every way you can:

b) Is this angle acute, obtuse, or right?

c) What is the midpoint between (5,9) and (-11,17).

d) Define: collinear.

e) What is the midpoint between (90,-12) and (-22, 8)?

f) What is the midpoint between (7.3, 4.3) and (2.1, 10.7)?

g) What is the degree measure of ?

h) What food is most requested with a last meal?

Day 5

B

PM

1

A

L F

1

1 75°

34

French fries

2. Notes - Pool Table Problems

Ex: Where do we aim on the bottom cushion so white hits blue?

35

Ask them which diamond do they aim for in order to hit it?

Ex: Where do we aim on the top cushion so white hits blue?

36

Ex: Where do we aim on the left cushion so white hits blue?

37

Ex: Where do we aim on the left cushion so white hits the bottom cushion and then hits blue?

38

3. Classwork - Pool Problems Handout

4. Group Work Provide a definition for:

Right Angle: An angle that measure 90 degrees.

Acute Angle: An angle that measures less than 90 degrees.

Obtuse Angle: An angle that measures more than 90 degrees.

Pair of Vertical: Two congruent and opposite angles formed by two intersecting lines.

Angles

39

Linear Pair of: Two angles on a line that measure 180°. Angles

Pair of: Two angles that add up to 90°. Complementary Angles

Pair of: Two angles that add up to 180°. Supplementary Angles

40

Angle Bisector: A ray that extends from the vertex of an angle and divides it into two congruent angles.

A

B

C

28°14°

14°

D

What We Can Write

AD is the angle bisector of BAC.

BAD DAC

€

≅

41

5. CW/HW pg. 51 // #11-20, 29, 31

42