Mon 11/11

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

3. MAKING CONNECTIONS 1. 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, Δ ABC 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 / 6 min.

Find Lesson  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’sObjective: * SWBAT = S tudent W ill B e A ble T o 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 st paragraph.

A B C u 2 180u 2

8-1

8-1a 1) 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?

8-1b 1) What is this polygon called? 8-1b 8-1c TSW close textbook. TTW call & response

c 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.)

8-3 Central  #  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: Angles

Pinwheels & Polygons: A-B-C Angles Angle C: 5  s Angle 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!

8-4a

Thu 11/14

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

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

Today’sObjective: * SWBAT = S tudent W ill B e A ble T o 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  8-4c  8-5

ConvexNon-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)Isosceles 2) Have a central  whose measurement is a factor (divides evenly into) 360 .

Find Lesson  8-13  8-14  8-16 TSW Read Intro Para

Today’sObjective: * SWBAT = S tudent W ill B e A ble T o 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 / 6 min. a a a a a a a

Today’sObjective: * SWBAT = S tudent W ill B e A ble T o 8.1.3: SWBAT: 1)Determine the measure of an interior & exterior  of a Regular Polygon.

Find Lesson  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.

8-26a

A B C Rectangle = 30 x 24 = u 2 180u 2

y x I IVIII II