Welcome! Tear Out: Pages and staple together Page 369 (homework) U5H5: Pg. 369 #1-2

Transcription

1 Welcome! Tear Out: Pages and staple together Page 369 (homework) U5H5: Pg. 369 #1-2 Updates: U5Q2 (Activity 24-25, 32) 1 st /4 th /6 th will be Friday, March 4 th

2 Reminder Reminder: U5Q1 Must be taken by Friday (2/26)! 1 st Nikki, Eduardo, Matt, Emmy, Thania 4 th Brandon, Siffat, Priyanka, Bradley; **No name paper** (Neikon) 6 th Trevor, Gavin, Trent, Aidan, Amanda, Sanam, Sam P., Camellia, Andrew

3 Agenda 1. Warm- Up! 2. Correct U5H CFU 5. Begin Exit Ticket

4 Warm- Up! (1) Name all of the chords. (2) Name all of the tangents. (3) Name all of the diameters. (4) What is the plural form of radius?

5 (5) What is the value of EG? Warm- Up!

6 U5H4 I will call on you randomly; Be ready!

7 Learning Objectives By the end of this period you will be able to: Ø Measure an arc of a circle. Ø Use relationships among arcs and central angles to solve problems.

8 Activity 25.1 Arcs and Central Angles Page 349 Read the airst paragraph to yourself and draw a picture of the scenario in the My Notes column. (3 minutes)

9 Activity 25.1 Arcs and Central Angles Page 349 Read the second paragraph to yourself try to make sense of the diagram I am passing out to each table. (3 minutes)

10 Activity 25.1 Arcs and Central Angles Page 349 Read the third paragraph to yourself try to make sense of the diagram I am passing out to each table. (3 minutes)

11 Activity 25.1 Arcs and Central Angles Page In your groups answer #1-3. Keep in mind, for #3 only use your marker not an actual pen since you cannot write on these papers. (4 minutes)

12 Activity 25.1 Arcs and Central Angles

13 Activity 25.1 Arcs and Central Angles

14 Activity 25.1 Arcs and Central Angles Page 350

15 Activity 25.1 Arcs and Central Angles Page 350 We will read the paragraph as a class.

16 Group Discussion ü Why is it called a minor arc versus a major arc? (1 min) ü Why is it called a central angle? (1 min)

17 Activity 25.1 Arcs and Central Angles o Title the next NEW page in your notebook: U5A24 Arcs and Chords (49) o Draw a large circle. Once again we will be ailling it with arc and angle deainitions.

18 Activity 25.1 Arcs and Central Angles Central Angle o An angle whose vertex is at the center of a circle and whose sides contain radii of the circle.

19 Activity 25.1 Arcs and Central Angles Arc o An unbroken part of a circle is created by two points, called the endpoints. The arc contains all of the points between the two endpoints. o We use a rainbow over letters to identify an arc. AB o May also be called intercepted arc.

20 Activity 25.1 Arcs and Central Angles Minor Arc o An arc whose points are on or in the interior of a central angle. o The measure of a minor arc is: mac = m ABC o Smaller than 180 degrees. o Only need two letters to name the arc.

21 Activity 25.1 Arcs and Central Angles Major Arc o An arc whose points are on or in the exterior of a central angle. o The measure of a major arc is: madc = m ABC o Larger than 180 degrees. o Must use three letters to name (this is what distinguishes a major and minor arc from one another).

22 Activity 25.1 Arcs and Central Angles Semicircle o The endpoints of an arc lie on the diameter. o The measure of a semicircle is 180. mefg= 180 o Must use three letters to name.

23 Activity 25.1 Arcs and Central Angles Pg. 351 BrieQly looking at a- f in #5, label which arcs will be minor arcs and which will be major arcs. (1 minute)

24 Activity 25.1 Arcs and Central Angles Attempt a- f and #6. (3 minutes)

25 Activity 25.1 Arcs and Central Angles As a group, complete #7 (a- g). This is more critical thinking and preparing you for the writing portions on your District Tests. Use as much detail as you can! (8 minutes)

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27 Activity 25.1 Arcs and Central Angles Each team will receive one big whiteboard. Please answer the indicated problems on your big whiteboard in as much detail as possible. #7(a- b): Table 1, 4, 7, 10 #7 (c- d): Table 2, 5, 8, 11 #7 (e- g): Table 3, 6, 9, 12 5 minutes

28 CFU Whiteboards Ø What is another name for the sides of a central angle? Ø Why is a major arc of a circle designated by three points on the circle?

29 Learning Objectives By the end of this period you will be able to: Ø Describe relationships among inscribed angles, central angles, and arcs.

30 Activity 25.2 Inscribed Angles Pg. 353 Read the introduction paragraph and answer #1-5. If you get stuck please collaborate with your teammates. (5 mins)

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32 Activity 25.2 Inscribed Angles Inscribed Angle o An angle whose vertex is on a circle and whose sides contain chords of the circle.

33 Exit Ticket Please put everything away except for a pencil, eraser, and calculator. You will have 5 minutes to complete the exit ticket; cover your own papers. When you are done please come place your exit ticket under the appropriate category on my desk: Green Today went well! I think I remember everything! Yellow Today went okay; I remembered some Red Today was rough I don t remember anything Please check your desks; did you leave trash behind?

34 Timings Intro: 3mins 7:58 10:52 1:09 Warm- Up!: 5mins 8:03 10:56 1:14 Correct U5H4: 8mins 8:11 11:04 1: : 60mins 9:11 12:04 2:22 CFU: 8mins 9:19 12:12 2:30 Begin25.2: 12mins 9:31 12:24 2:42 Exit Ticket: 7mins 9:38 12:31 2:49

35 Table 1 Table 2 Table 3 Hana Braiden Nicole Yash Madison Kevin Grace Sophie Jacob Table 4 Table 5 Table 6 Table 7 Alex Nikki Leslie Elina Casey Angie Natalee Matt Justin Jake Evan Alyssa Table 8 Table 9 Table 10 Table 11 Table 12 Cameron Amin Sherman Ashik Emmy Bryan Eduardo Kia Bella Savannah Dash Thania

36 Table 1 Table 2 Table 3 Parker Jimmy Bradley Priyanka Jenny Maddie E. Georgia Alisa Sasha Table 4 Table 5 Table 6 Table 7 Steven Brandon Cynthia Ricardo Emily Kevin Brook Mia Siffat Alexi Nate Tyler Table 8 Table 9 Table 10 Table 11 Table 12 Jordan Maddie P. Yen Stephanie Michael Neikon

37 Table 1 Table 2 Table 3 Camellia Trent Trevor Ceana Amanda Ryan Manny Sam H. Grace Table 4 Table 5 Table 6 Table 7 Philip Arianna Reagan Gavin Alex Andrew Guk Anusha Tanveen Micheala Anthony Sahya Table 8 Table 9 Table 10 Table 11 Table 12 Sanam Aidan Lauren Jonathan Sam P. Damien Denise Jennie Fabiana Sam C. Athena