# Mon 1111 BootUp 11 13 6 min Solve

Mon 11/11

Boot-Up 11. 13 / 6 min. Solve for all variables shown:

0 1 st Time 2 nd Time Chapter 5 Test Chapter 4 Quiz Term 1 Test Ch 3 Section 1 Quiz Ch 2 Test 60 Ch 2 Sec 1 Quiz Angles 70 Ch 1 Test Symmetry, Transformations, P&P Lines, P&A Zoom, Angles 80 Ch 1 Quiz Algebra Review & 1. 1. 3 Perimeter/Area 90 YTD Average 100 Block 1 Test Performance: Class Averages / Term 1 86 90 85 78 82 82 80 72 74 50 40 30 20 10

Chapter 5 11/1 Test Performance: Block 1 12 48% 60% 10 8 6 4 2 50% 11 40% 26% 30% 6 20% 9% 9% 9% 2 2 2 0 10% 0% Series 1 Series 2

0 1 st Time 2 nd Time Chapter 5 Test Chapter 4 Quiz Term 1 Test Ch 3 Section 1 Quiz Ch 2 Test 60 Ch 2 Sec 1 Quiz Angles 70 Ch 1 Test Symmetry, Transformations, P&P Lines, P&A Zoom, Angles 80 Ch 1 Quiz Algebra Review & 1. 1. 3 Perimeter/Area 90 YTD Average 100 Block 2 Test Performance: Class Averages / Term 1 89 89 84 79 80 75 79 78 82 72 70 50 40 30 20 10

Chapter 5 11/1 Performance: Block 2 9 8 7 35% 31% 8 30% 23% 25% 6 6 5 4 15% 4 3 15% 4 20% 15% 10% 2 5% 1 0 0% A B C Series 1 D Series 2 F

1. TRIG RATIOS 2. 3. MAKING CONNECTIONS

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, © 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. Boot-Up 11. 13 / 6 min. 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° © 2004 ACT, Inc. All rights reserved.

Find Lesson 8. 1. 1 8 -1 8 -2 8 -3 8 -4 8 -5

In this chapter, you will learn: Ø About special types of Polygons, such as Regular & non‑Convex polygons. See p. 476 Ø How the measures of the interior and exterior angles of a Regular Polygon are related to the number of sides of the polygon. Ø How the areas of similar figures are related. Ø How to find the area and circumference of a circle and parts of circles and use this ability to solve problems in various contexts. 1) TTW: H/O spoons

TSW: Read p. 473 Intro paragraph.

8. 1. 1: SWBAT answer the following ? s: 1) How can I use the # of sides of a Today’s Regular Polygon to find the Objective: measure of the central ? 2) What type of is needed to form a Regular Polygon? 3) What is a Convex Polygon? *SWBAT = Student Will Be Able To

OK, but what’s in it for me? 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 TSW: Read 8 -1 1 paragra st

10 C 20 2 120 u 23 12. 32 26 120 u 2 24 B 1 3. 32 A 30 180 u 2 12

8 -1

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 -1 a

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

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, 8 -2 no overlaps. ) 8 -1 c TSW close textbook. TTW call & res

Central # s Used Pinwheel or Polygon? 1) 1 2) 2 3) 3 Name of Shape Measure of Central s 8 -3

Pinwheels & Polygons: 1 -2 -3 Angles Angle 1: 3 s Angle 2: 9 s Angle 3: 18 s

Pinwheels & Polygons: A-B-C Angles Angle B: Angle A: 8 s Not a Pinwheel! Angle C: 5 s

Pinwheels & Polygons: D-E-F Angles Angle D: Not a Pinwheel! Angle E: 12 s Angle F: Not a Pinwheel!

8 -4 a

Thu 11/14

Boot-Up 11. 14. 13 / 6 min. What is the area of the shape below? 2 8 5 10

Boot-Up 11. 14. 13 / 6 min. What is the area of the shape below? 2 8 5 10

8. 1. 1: SWBAT answer the following ? s: 1) How can I use the # of sides of a Today’s Regular Polygon to find the Objective: measure of the central ? 2) What type of is needed to form a Regular Polygon? 3) What is a Convex Polygon? *SWBAT = Student Will Be Able To

Find Problem 8 -4 c. 8. 1. 1 8 -4 c 8 -5

Convex Based on what you see, write a definition for a Convex Polygon. Non-Convex 8 -4 c

Based on what you see, write a definition for a Convex Polygon. 8 -4 c

Convex Polygon: The vertices of convex polygons “point outward, ” while some of the vertices of non‑convex polygons “point inward. ” 8 -4 c

Pinwheels & Polygons Angle 1: 3 s Angle E: 12 s

Which of the below s can be used to build a Convex Polygon? 8 -5 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. 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 Today’s interior s of a polygon & will Objective: be able to apply this skill to solve problems. *SWBAT = Student Will Be Able To

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 5) Can you break this shape down into s? 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? 8 -13

# 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: (n-2)180 Well done, my Midgardian friends! Now to celebrate with a Frosty Flagon of Frost-Dragon’s Mead…

8 -14 b.

8 -14 c. 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?

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. a a a a

8. 1. 3: SWBAT: 1) Determine the measure of Today’s an interior & exterior of Objective: a Regular Polygon. *SWBAT = Student Will Be Able To

Find Lesson 8. 1. 3 8 -24 8 -25 8 -26 8 -27 8. 1. 3 8 -36 a, b, d 8 -37 8 -38

8 -24 a, b

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

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 -25

8 -26 a

10 Rectang le = 30 x 24 = 720 C 20 23 120 u 2 12 26 . 32 24 B 1 3. 2 3 30 A 12 180 u 2

II y I x III IV

- Slides: 71