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TRANSCRIPT
Welcome! Tear Out: Pages 349-‐368 and staple together Page 369 (homework)
U5H5: Pg. 369 #1-‐2
Updates: U5Q2 (Activity 24-‐25, 32) 1st/4th/6th will be Friday, March 4th
Reminder Reminder: U5Q1 Must be taken by Friday (2/26)! 1st – Nikki, Eduardo, Matt, Emmy, Thania 4th – Brandon, Siffat, Priyanka, Bradley; **No name paper** (Neikon) 6th – Trevor, Gavin, Trent, Aidan, Amanda, Sanam, Sam P., Camellia, Andrew
Agenda
1. Warm-‐Up!
2. Correct U5H4
3. 25.1
4. CFU
5. Begin 25.2
6. Exit Ticket
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?
Warm-‐Up! (5) What is the value of EG?
U5H4 I will call on you randomly; Be ready!
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.
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)
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)
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)
Activity 25.1 – Arcs and Central Angles Page 349-‐350 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)
Activity 25.1 – Arcs and Central Angles
Activity 25.1 – Arcs and Central Angles
Activity 25.1 – Arcs and Central Angles Page 350
Activity 25.1 – Arcs and Central Angles Page 350 We will read the paragraph as a class.
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)
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.
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.
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.
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.
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 = 360° -‐ 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).
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.
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)
Activity 25.1 – Arcs and Central Angles Attempt a-‐f and #6. (3 minutes)
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)
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
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?
Learning Objectives By the end of this period you will be able to: Ø Describe relationships among inscribed angles, central angles, and arcs.
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)
Activity 25.2 – Inscribed Angles Inscribed Angle o An angle whose vertex is on a circle and whose sides contain chords of the circle.
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?
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 1:22 25.1: 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
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
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
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