get started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · get started! do...
TRANSCRIPT
![Page 1: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/1.jpg)
GetStarted!Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use 0≤θ< 2π and r≥0. Round to the nearest tenth. (2) Name 3 other points that describe M(7, 240°) between -360°≤θ<360°.
![Page 2: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/2.jpg)
CorrectU9H4Ask as many questions as you need!
![Page 3: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/3.jpg)
Welcome!Homework: Finish investigations on U9L4 Updates: U9T (9.1-9.3, 9.5-9.6) will be Thursday (3/31)
![Page 4: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/4.jpg)
Agenda1. Get Started!
2. Correct U9H4
3. Announcements
4. U9Q1
5. Start U9L4
![Page 5: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/5.jpg)
U9Q1Please reset your calculators:
2nd +, 7, 1, 2
You will be given 35 minutes to complete.
![Page 6: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/6.jpg)
LearningObjectivesBytheendofthisperiodyouwillbeableto:① Graphpolarequations.
![Page 7: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/7.jpg)
Real life polar equations!
http://www.intmath.com/blog/mathematics/polar-coordinates-and-cardioid-microphones-2496
![Page 8: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/8.jpg)
9.2GraphsofPolarEquationsOneoftheapplicationsofpolargraphsistodescribethecharacteristicsofmicrophones.Differentmicrophoneshavedifferentrecordingpatternsdependingontheirpurpose.
![Page 9: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/9.jpg)
9.2GraphsofPolarEquationsOmni-directionalMicrophone:Thismicrophoneisusedwhenwewanttorecordsoundfromalldirections(forexample,forachoir).Therecordingpatternisalmostcircularandwouldcorrespondtothepolarcurver=sinθthatwemetabove.
![Page 10: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/10.jpg)
Bi-directionalMicrophone:Thisisusedinaninterviewsituation,wherewewanttopickupthevoicesoftheinterviewerandthepersonbeinginterviewed.
9.2GraphsofPolarEquations
![Page 11: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/11.jpg)
ShotgunMicrophone:Thisisa"super-directional"mike,whereweonlywanttopickupsoundsfromdirectlyinfrontofthemike.Thegraphusedforthisexampleisr=θ2.
9.2GraphsofPolarEquations
![Page 12: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/12.jpg)
TodaywearegraphingonourGraphingCalculatorsComplexPolarEquations.ChangingtoPolarEquations–Mode;switchtoPOLIwantyouinyourgroupstobegintheinvestigationbyfollowingthedirectionsandseriesofquestions.Thequestionsaretohelpyoucometoaconclusionaboutthetypesofequationsandideaofthepictures.
9.2GraphsofPolarEquations
![Page 13: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/13.jpg)
#1Investigation
ameasurestheradius
Onthey-axis
Onthex-axis
![Page 14: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/14.jpg)
#2Investigation
LeemuhSOHN
Onthey-axis
Onthex-axis
![Page 15: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/15.jpg)
#2Investigation
Onthey-axis
Onthex-axis
AtypeofLimaconisaCardioid!
![Page 16: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/16.jpg)
#3Investigation
![Page 17: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/17.jpg)
#4Investigation
LehmNIHSkuht
Onthey-axis
Onthex-axisa2cos2θ
![Page 18: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/18.jpg)
#5Investigation
![Page 19: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/19.jpg)
9.2GraphsofPolarEquationsGobackthroughyournotesandhighlightallofthenamesofthepolarequations:Circle,Limacon,Cardiod,Lemniscate,rose,andSpiralofArchimedes.OnthenextslidewearegoingtotrytoidentifythesetypesofpolarequationsgivenagraphORequation.Ifyouaregivenagraphtellmewhethertheequationwouldcontainsineorcosine.
![Page 20: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/20.jpg)
Whiteboards!
![Page 21: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/21.jpg)
Whiteboards!
![Page 22: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/22.jpg)
OverviewTake1minutetoindependentlythinkaboutthemostinterestingpartoftodayslesson.Shareyourinterestingthoughttoyourtablemates.Iwillcallonacoupleofyoutoshareyourinterestingthoughts.
![Page 23: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/23.jpg)
TimingsGet Started: 8mins 10:56 1:14 Correct U9H4: 15mins 11:11 1:29 Announcements: 3mins 11:14 1:32 U9Q1: 40mins 11:54 2:12 U9L4: 35mins 12:29 2:47 Overview: 2mins 12:31 2:49
![Page 24: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/24.jpg)
Table 1 Table 2 Table 3 Tyler Danny Leila Kayla Eliana JungWon Tonya John Yasmine
Table 4 Table 5 Table 6 Table 7 Collin Alden Josh W. Caley
Brenda Josh M. Nick Simmons Eden Andrew Wing Karen
Table 8 Table 9 Table 10 Table 11 Table 12
James B. Justin Avalon Matt Mike Aalia Ethan Kyra Mika Joey
Alyssa Aaron Megan
![Page 25: Get Started!thecarucciclass.weebly.com/uploads/3/1/1/0/31108237/u9q1___u9l4.… · Get Started! Do the following on your whiteboards. (1) Convert (-5, 8) to a polar coordinate. Use](https://reader034.vdocuments.us/reader034/viewer/2022043012/5faa7e894f4d624ebf045860/html5/thumbnails/25.jpg)
Table 1 Table 2 Table 3 MichaelV. Nat Cassie Jennifer Kelsey Nathalie Nirav Brandon Kelly
Table 4 Table 5 Table 6 Table 7
Joe Noah Kevin Emily Aaron Arthur Abdul Broneil Tam Aimee Baylee Sarah
Table 8 Table 9 Table 10 Table 11 Table 12 Allison Brad Anna Pranav Galen Lauren Ali Michael C. Jacob Bella
Sami Kasey Amelia