Download 10 Algebra 3 LP Jan 9-20

Name:AmmieHamiltonDate:Jan9-21Subject:Algebra3
Day1TuesJan10
Day2ThursJan12
Day3:TuesJan17
Day4ThurJan19
--Drawanangleinstandard
position.
--Determinethemeasuresof
anglesco-terminalwithanangle
giveninstandardposition.
--Definethesixtrigonometric
functionsofanangleinstandard
positionintermsofx,y,andr.
--Findthevaluesofthesix
trigonometricfunctionsofanangle
instandardposition.
Definethesixtrigonometricfunction
valuesforanyacuteangleins
standardpositionintermsofside
opposite,sideadjacentand
hypotenuseofarighttriangle.
--Writetrigonometricfunctionsin
termsofco-functions
--Solveequationsinvolvingthecofunctionidentities.
--Giveexactvaluesofthe
trigonometricfunctionvaluesofthe
specialangles30,45,and60
degrees.
--Determinethereference
angleforanygivenangle.
--Findexacttrigonometric
functionvaluesofanangle
whosereferenceangleis
30,45and60degrees.
Day5MondayJan21
LT’sfor2.1-2.2
LearningTarget
--Drawanangleinstandard
position.
--Determinethemeasuresof
anglesco-terminalwithan
anglegiveninstandard
position.
--Definethesixtrigonometric
functionsofananglein
standardpositionintermsof
x,y,andr.
--Findthevaluesofthesix
trigonometricfunctionsofan
angleinstandardposition.
Common
Core
Standards
A.10–Provepolynomialidentitiesandusethemtodescribenumericalrelationships.Forexample,thepolynomialidentity
2
2 2
2
2 2
2
(x +y ) =(x –y ) +(2xy) canbeusedtogeneratePythagoreantriples.
F.30–Usespecialtrianglestodeterminegeometricallythevaluesofsine,cosine,tangentforπ/3,π/4,andπ/6,andusetheunitcircletoexpressthevaluesofsine,cosine,andtangentforπ-
x,π+x,and
2π-xintermsoftheirvaluesforx,wherexisanyrealnumber.
F.31–Usetheunitcircletoexplainsymmetry(oddandeven)andperiodicityoftrigonometricfunctions
2
2
F-TF.8–ProvethePythagoreanidentitysin x+cos x=1anduseittofindsinx,cosx,andtanxgivensinx,cosxortanxandthequadrantoftheangle.
BellRinger
Learning
Plan
Exit
Slip/Closing
Assessment
ACTProblemsonCanvas
ACTProblemsonCanvas
ACTProblemsonCanvas
ACTProblemsonCanvas ACTProblemsonCanvas
2.1TrigonometricFunctionsof
AcuteAngles
--Definethesixtrigonometric
functionvaluesforanyacuteangle
instandardpositionintermsofside
opposite,sideadjacentand
hypotenuseofarighttriangle.
--Writetrigonometricfunctionsin
termsofco-functions
--Solveequationsinvolvingthecofunctionidentities.
--Giveexactvaluesofthe
trigonometricfunctionvaluesofthe
specialangles30,45,and60
degrees.
DRILLandPRACTICE–30,45,60
Degrees!!!!!!
1.Whatarecofunctions?Howare
theyuseful?
2.Review30,45,60degrees.
QUIZ
2.2TrigonometricFunctions
ofNon-AcuteAngles
--Determinethereference
angleforanygivenangle.
--Findexacttrigonometric
functionvaluesofanangle
whosereferenceangleis30,
45and60degrees.
Mini-QUIZ
1.4UsingtheDefinitionsofthe
TrigonometricFunctions
--Usethereciprocalidentitiestofind
thevalueoftrigonometricfunctions.
--Identifythequadrantorquadrants
fortheanglesatisfyinggiven
conditions.
--Determinethesignofeachofthesix
trigonometricfunctionsforagiven
angle.
--Findtrigonometricfunctionvalues
givenonefunctionvalueandthe
quadrantoftheangle.
--StateandusetheReciprocal
Identities,PythagoreanIdentities,and
theQuotientIdentities
ReviewandPracticeIdentities,signsin
eachquadrant.
Formativeduringclass
Observation
Discussion
ExitTicket
Formativeduringreview
Observation
Discussion
ExitTicket
Observation
Discussion
ExitTicket
Formativeduringclass
Observation
Discussion
ExitTicket
TRIGSECTION–USE
SAMETEXTASTRIG
CLASS
1.1Angles
--Drawanangleinstandard
position.
--Determinethemeasuresof
anglesco-terminalwithanangle
giveninstandardposition.
1.3TrigonometricFunctions
--Definethesixtrigonometric
functionsofanangleinstandard
positionintermsofx,y,andr.
--Findthevaluesofthesix
trigonometricfunctionsofanangle
instandardposition.
Whatistherelationshipbetween
degrees,minutes,seconds?
PracticeDay
Whatarereferenceangles? 3-2-1
Reviewanyreferenceangle
of30,45,60.
Formativeduringclass
Observation
Discussion
ExitTicket
Name:AmmieHamiltonDate:Jan9-21Subject:Algebra3