1. Opener a) Make a triangle ADB.

b) Construct the bisector the obtuse angle you were given.

c) What is the measure of x in the figure below?

d) What are the next two terms: 6, 10, 1, 5, 9, 13, 4, 8, 12, ... ,

e) What three-word phrase appeared on the front of the first official US coin, minted in 1787?

Day 21

x°

60°

107°

1

mind your business

2. Notes - Points of Concurrency

Make a checklist:

Incenter

Circumcenter

Orthocenter

Centroid

(angle bisectors)

(perpendicular bisectors)

(altitudes)

(medians)

Point of concurrency: The place where three or more lines meet.

2

2. Notes - Points of Concurrency

Incenter (angle bisectors)

Construct: Angle Bisector

next year mark this up a little better — angle markings, constructions markings, something. everyone says “they all look the same.”

3

2. Notes - Points of Concurrency

Circumcenter (perpendicular bisectors)

Construct: Perpendicular Bisector

4

2. Notes - Points of Concurrency

Orthocenter (altitudes)

Construct: Drop a perpendicular.

5

2. Notes - Points of Concurrency

Centroid (median)

Construct: Perpendicular Bisectors

6

3. Triangle Worksheet

4. Concept Quiz

7

1. Opener a) What is the 37th term: 9, 16, 23, 30, ... ,

b) After how many terms will the sequence above pass 3000?

c) Draw a triangle. Any triangle.

d) Use the triangle from (c) and a compass. Construct the largest circle possible inside the triangle. It should touch, but not cross, all three sides.

e) Construct a circle that touches all three vertices of the triangle from (c).

f) Find d in the figure below.

g) How much does the most expensive coffee in the world cost per pound?

Day 22

42°

57°

110°

d

130°

24°

8

$120 and $600 per pound, $50 per cup at one Australian coffee shop, kopi luwak, made from the droppings of the civet

9

$8500

10

11

$8500

12

2. Notes - Points of Concurrency

Orthocenter (altitudes)

Construct: Drop a perpendicular.

13

2. Notes - Points of Concurrency

Centroid (median)

Construct: Perpendicular Bisectors

14

2. Notes - Fun Facts About The Centroid! 1. The centroid is the center of gravity of a triangle.

15

2. Notes - Inscribed & Circumscribed Circles

Fact: for every triangle there is a largest circle that will fit inside.

Fact: for every triangle there is a smallest circle that will fit around the outside.

the inscribed circle

the circumscribed circle

16

2. Notes - Constructing the Circumscribed Circle

Construct the circumcenter (perpendicular bisectors)

17

2. Notes - Constructing the Inscribed Circle

Construct the incenter (angle bisectors)

18

3. Classwork

pages 5 & 6 of your Li’l Book of Constructions

4. Break

5. Show and Tell

19

5. Five for the Weekend Recomendaciones, por favor.

1 “Teenage Queen,” Aiden Chloe G

2 “Coolin,” Abstract Rude Robert K

3 “Prayer of the Refugee,” Rise Again Trent C

4 “Internally Bleeding,” Immortal Technique D Churchill

5 “Not Good Enough for Truth in Cliché,” Escape the Fate April A

0

0

0

-1

1

20

5. Five for the Weekend Recomendaciones, por favor.

1 “Crown,” Mason Jennings Brodey S

2 “Beer,” PsychoStick Tad T

3 “Comfort Eagle,” Cake Nick G

4 “The Gift,” Angels & Airwaves Heather F

5 “Situations,” Escape the Fate Roni C

+1

-1

0

0

1

21

1. Opener a) Draw an obtuse triangle.

b) Construct its circumscribed circle.

c) 5°: Construct its inscribed circle.

c) 6°: Construct its centroid.

d) Construct a 45° angle.

e) What is the 2007th term: 1, 5, 4, 12, 7, 19, 10, 26, 13, ... ,

f) What percent of Americans believe they’re above-average drivers? What percent believe they’re below-average?

Day 23

22

74% ... 1%

2. Notes - Inscribed & Circumscribed Circles

Fact: for every triangle there is a largest circle that will fit inside.

the inscribed circle

23

2. Notes - Constructing the Inscribed Circle

Construct the incenter (angle bisectors)

24

2. Notes - Parallel Line Construction

25

How many lines can you draw through P that are parallel to AB? How do we construct it? Anybody get any ideas?

2. Notes - Make A Rhombus

26

How many lines can you draw through P that are parallel to AB?

2. Notes - Make A Rhombus

27

How many lines can you draw through P that are parallel to AB?

2. Notes - Make A Rhombus

28

How many lines can you draw through P that are parallel to AB?

3. Classwork pg. 162 // #3 - 5, 11 (yes, you have to draw the picture) pg. 151 // #15 - 20 Visual Thinking Skills // #1-3

4. Break

5. Show and Tell

29

6. Concept Quiz

30

How many parts of a triangle are there? How many do I need to give you to guarantee you have a triangle? It depends.