Mon 11/11. Solve for all variables shown: Boot-Up 11.11.13 / 6 min.

Mon 11/11

Solve for all variables shown:Boot-Up 11.11.13 / 6 min.

YTD

Aver

age

Ch 1

Quiz

Alge

bra

Revie

w &

1.1.

3 Pe

rime.

..

Ch 1

Tes

t Sy

mm

etry

, Tra

nsfo

rmat

ions,

...

Ch 2

Sec

1 Q

uiz A

ngles

Ch 2

Tes

t

Ch 3

Sec

tion

1 Q

uiz

Ch 3

Tes

t

Term

1 T

est

Chap

ter 4

Quiz

Chap

ter 4

Tes

t

Chap

ter 5

Tes

t0

10

20

30

40

50

60

70

80

90

100

82.474 80 82

72

9178

86 86 90 85

Block 1 Test Performance: Class Averages / Term 1

1st Time 2nd Time

0%

10%

20%

30%

40%

50%

60%

0

2

4

6

8

10

12

11

6

2 2 2

48%

26%

9% 9% 9%

Chapter 5 11/1 Test Performance: Block 1

Series1 Series2

YTD

Aver

age

Ch 1

Quiz

Alge

bra

Revie

w &

1.1.

3 Pe

rimet

e...

Ch 1

Tes

t Sy

mm

etry

, Tra

nsfo

rmat

ions,

P&.

..

Ch 2

Sec

1 Q

uiz A

ngles

Ch 2

Tes

t

Ch 3

Sec

tion

1 Q

uiz

Ch 3

Tes

t

Term

1 T

est

Chap

ter 4

Quiz

Chap

ter 4

Tes

t

Chap

ter 5

Tes

t0

10

20

30

40

50

60

70

80

90

100

79.770

78 8272

8975 79 84 89

79

Block 2 Test Performance: Class Averages / Term 1

1st Time 2nd Time

A B C D F0

1

2

3

4

5

6

7

8

9

0%

5%

10%

15%

20%

25%

30%

35%

8

6

4 4 4

31%

23%

15% 15% 15%

Chapter 5 11/1 Performance: Block 2

Series1 Series2

3. MAKING CONNECTIONS1. TRIG RATIOS

2.

Tue 11/12

In the figure at right, line m is parallel to line n, and line t is a transversal crossing both m & n. Which of the following lists has 3 angles that are all equal in measure?A. ∠a, ∠b, ∠d B. ∠a, ∠c, ∠d

C. ∠a, ∠c, ∠e D. ∠b, ∠c, ∠d

E. ∠b, ∠c, ∠e

© 2004 ACT, Inc. All rights reserved.

Wed 11/13

As shown in the figure at right, ΔABC is isosceles with the length of AB equal to the length of AC.

The measure of ∠A is 40° and points B, C, and D are collinear.*

What is the measure of ∠ACD ?

A. 70° B. 80° C. 110°

D. 140° E. 160°

* All in a straight line.© 2004 ACT, Inc. All rights reserved.

Boot-Up 11.13.13 / 6 min.

Find Lesson 8.1.1 8.1.1

8-1 8-2 8-3 8-4 8-5

In this chapter, you will learn: About special types of Polygons, such as Regular &

non‑Convex polygons. How the measures of the interior and exterior angles of a

Regular Polygon are related to the number of sides of the polygon.

How the areas of similar figures are related. How to find the area and circumference of a circle and

parts of circles and use this ability to solve problems in various contexts.

See p.476

1) TTW: H/O spoons

TSW: Read p.473 Intro paragraph.

Today’s Objective:

*SWBAT = Student Will Be Able To

8.1.1: SWBAT answer the following ?s:1) How can I use the # of sides of a

Regular Polygon to find the measure of the central ?

2) What type of is needed to form a Regular Polygon?

3) What is a Convex Polygon?

If you understand that any problem, no matter how big or complicated, and no matter the subject area – whether academic or real-life – can be broken down into smaller parts that you can handle, then that problem can be solved.

OK, but what’s in it for me?

TSW: Read 8-1 1st paragraph.

A

B

C

26

24

10 20

1223.32

30

1232.31

120u2120u2

180u2

8-1a1) Can you determine the measure of any of these s?

2) What kind of shape is being formed in the center?

3) How many degrees are there in a circle?

4) Which of these would you call the central s of the pinwheel?

8-1b1) What is this polygon called? 8-1b

8-1c TSW close textbook. TTW call & response

8-28-1c TSW close textbook. TTW call & response

Rules for Pinwheels:

1) Corresponding s must be in corresponding positions.

2) Vertices must meet in center.3) s must be adjacent to each

other. (No gaps, no overlaps.)

8-3Central # s Used Pinwheel or Polygon?

Name of Shape

Measure of Central s

1) 1

2) 2

3) 3

Angle 1: 3 s Angle 2: 9 s Angle 3: 18 s

Pinwheels & Polygons: 1-2-3 Angles

Pinwheels & Polygons: A-B-C Angles

Angle C: 5 sAngle B:

Not a Pinwheel! Angle A: 8 s

Angle D: Not a Pinwheel!

Angle E: 12 s

Pinwheels & Polygons: D-E-F Angles

Angle F: Not a Pinwheel!

Thu 11/14

What is the area of the shape below? Boot-Up 11.14.13 / 6 min.

10

58

2



8.1.1: SWBAT answer the following ?s:1) How can I use the # of sides of a

Regular Polygon to find the measure of the central ?

2) What type of is needed to form a Regular Polygon?

3) What is a Convex Polygon?

Find Problem 8-4c.

8.1.1

8-4c 8-5

Convex Non-Convex

Based on what you see, write a definition for a Convex Polygon.

8-4c

Based on what you see, write a definition for a Convex Polygon.

8-4c

Convex Polygon: The vertices of convex polygons “point outward,” while some of the vertices of non‑convex polygons “point inward.”

8-4c

Angle E: 12 s

Pinwheels & Polygons

Angle 1: 3 s

8-5

Which of the below s can be used to build a Convex Polygon?

TTW H/O Tracing Paper

To build a convex polygon, you must use s that are:1) Isosceles2) Have a central whose

measurement is a factor (divides evenly into) 360.

Find Lesson 8.1.2 8.1.1

8-13 8-14 8-16

TSW Read 8.1.2 Intro Para



8.1.2:

SWBAT find the sum of the interior s of a polygon & will be able to apply this skill to solve problems.

8-13

1) What is meant by “interior ?2) How many interior s are

there?3) What does each interior

measure?4) What is the sum of the s?

5) Can you break this shape down into shapes whose sum you know?

8-13

1) What is the sum of the s in a ?

2) How many s are there?

3) What is the sum of all the s of all 3 s ?

8-13

1) What is meant by “interior ?

2) How many interior s are there?

3) What does each interior measure?

4) What is the sum of the s?

8-13

1) What does each central measure?

2) What kind of s are these?3) If the central measures ___,

& these are ____ s, then what do the remaining s in the measure?

72

??

8-13

1) How many interior s are there?

2) What does each interior measure?

3) What is the sum of the s?

# of Triangles

Canst thou determine the formula to save us from the

interminable torment of these infernal calculations ere the

terrors of Ragnarok o’ertake us all?

Verily, ‘tis:

Well done, my Midgardian friends!

Now to celebrate with a Frosty Flagon of

Frost-Dragon’s Mead…

(n-2)180

8-14b.

8-14c.

Ah! But that ‘tis but the merest of child’s play for a true algbebraic warrior (or geometric giant)! To prove thy mettle, canst thou find the sum of the interior angles of a 100‑gon? Explain your reasoning.

Fri 11/15

The shape shown below is a Regular Heptagon. What is:1) The measure of the sum

of all its interior s?2) The measure of each of

its interior s?

Boot-Up 11.15.13 / 6 min.

aa

a

aa

a

a



8.1.3: SWBAT:1) Determine the measure of an

interior & exterior of a Regular Polygon.

Find Lesson 8.1.3

8.1.3 8.1.3

8-24 8-36 a,b,d 8-25 8-37 8-26 8-38 8-27

8-24 a, b

Formula to find measure of each Interior of a Regular Polygon, where n = # sides of polygon.

8-25

If it’s a square, then it has 4 equal sides.

If it has 4 equal sides, then it’s a square.

8-25

If it’s a square, then it has 4 right angles.

If it has 4 right angles, then it’s a square.

A

B

C

26

24

10 20

1223.32

30

1232.31

Rectangle= 30 x 24 = 720

120u2120u2

180u2

y

x

I

IVIII

II

Mon 11/11. Solve for all variables shown: Boot-Up 11.11.13 / 6 min.

Documents

Transcript of Mon 11/11. Solve for all variables shown: Boot-Up 11.11.13 / 6 min.