day 5 - amazon s3a e d c b q p n m l f g j h k b c f s g 28. 3. group definitions equilateral...

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1. Opener a) Name the this angle in every way you can: b) Is it acute, obtuse, or right? c) What is the midpoint between (5,9) and (-11,17). d) Define: collinear. e) What is the midpoint between (7.3, 4.3) and (2.1, 10.7)? f) What is the degree measure of ? g) How much did Nike pay for its logo? Day 5 B P M 1 A L F 2 1 1 $35. Origin story here: http://tinyurl.com/3ayaj

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Page 1: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

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

b) Is it acute, obtuse, or right?

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

d) Define: collinear.

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

f) What is the degree measure of ?

g) How much did Nike pay for its logo?

Day 5

B

PM

1

A

L F

2

1

1

$35. Origin story here: http://tinyurl.com/3ayaj

Page 2: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

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

2

Last week we handled problems like these where we GAVE you the incoming path and asked you for the outgoing path. It changes today.

Page 3: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

2. Notes - Pool Table Problems

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

3

Ask them which diamond do they aim for in order to hit it? Take several guesses. Have them come up and make a mark.

Page 4: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

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

2. Notes - Pool Table Problems

4

Page 5: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

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

2. Notes - Pool Table Problems

5

Page 6: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

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

2. Notes - Pool Table Problems

6

Page 7: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

3. Classwork - Pool Problems

4. Break

5. Show and Tell

7

Page 8: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

6. Group Definitions

Not Right Angles

90°

C

B

A

Right Angles

8

Alright, we’re gonna define eight terms.Show how we can write m(angle)B = 90° and AB (perp symbol) BC

Page 9: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

6. Group Definitions

88°

C

B

A

Acute Angles

Not Acute Angles

9

Page 10: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

6. Group Definitions

91°

C

B

A

Obtuse Angles

Not Obtuse Angles

10

Page 11: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

6. Group Definitions Vertical Angles

CA

D

F

Not Vertical Angles

BE

H

G

11

Page 12: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

6. Group Definitions

Not Complementary Angles

H

GBE

Complementary Angles

BE

30°

60°

12

Page 13: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

6. Group Definitions

Not Supplementary Angles

BE

H

G

Supplementary Angles 120°

60°BEl

m

13

Talk briefly about parallel lines here and how to write ‘em.

Page 14: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

6. Group Definitions Linear Angles

BE

F

R

Not Linear Angles

40° 140°80°

100°

14

Notice it’s LINEar angles. Gotta be a line in there.

Page 15: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

6. Group Definitions

Not Angle Bisectors

Angle Bisectors

45°45°

20°

20°

BA

CD

E

F

G

H

BE BE

15

So outta curiosity if this whole angle is 54°, how big is this one? How do you write stuff here?

Page 16: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

7. Classwork pg. 51 // #1 - 9, 11 - 20, 29, 31

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Page 17: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

1. Opener a-c) True or false? If false, provide the counterexample.

a) Three lines must intersect at three points.

b) Two acute angles can never be supplementary.

c) Every line has a midpoint.

d) What is m ?

e) What is the midpoint between (2,-12) and (-4, -10)?

f) Draw the picture.

g) How much is Central Park worth?

Day 6

1140°

17$528,783,552,000 (I did a coy unveiling here, first writing $528 and then as they freaked out, writing the next three digits and so on.)

Backstory here: http://tinyurl.com/2l7xgw

Underline must, never, and every in the first three. Ask ‘em how many examples it takes to prove must, never, and every wrong. (hint: one)

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Page 21: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

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Page 22: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

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Page 23: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

2. Miss South Carolina

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Page 24: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

3. Group Definitions Polygons

Not Polygons

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book definition: a closed figure in a plane, formed by connecting line segments, where each segment intersects exactly two others. Have them build their own but get it close. They really enjoy building their own definitions.

Page 25: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

3. Group Definitions Convex Polygons

Concave Polygons

25

Page 26: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

3. Group Definitions

What We Can WriteABCDBCDACDABDABC

What We Can’t WriteDBCAADBC

A

B

C

D

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Page 27: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

CAMP SITE

MACP TISE

PMAC TISE

≅ACPM ETIS

3. Group Definitions Congruent Polygons

C

P

M

A

E

T

I

S

27

corresponding sides AND angles are congruent

Page 28: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

3. Group Definitions Which polygon is congruent to ABCD? Write the congruency statement?

ABCDE

≅ QLMNP

100130 130

100130 130

A

E

D C

B

Q

P

N M

L

F

G

HJ

K

B

C

SF

G

28

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3. Group Definitions Equilateral Polygons

Equiangular Polygons

29

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3. Group Definitions Regular Polygons

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4. Classwork p. 56 // #1 - 15, 17 - 21

5. Break

6. Show and Tell

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Page 32: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

7. Notes - Drawing Congruent Polygons Find the missing point given ABC LFP

A

B

CL

F

P

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Page 33: Day 5 - Amazon S3A E D C B Q P N M L F G J H K B C F S G 28. 3. Group Definitions Equilateral Polygons Equiangular Polygons 29. 3. Group Definitions Regular Polygons 30. 4. Classwork

8. Classwork pg. 57 // #23 - 27

use graph paper

9. Concept Quiz

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