ࡱ> `b_[ 8bjbjmm 4Bbb82 2 <tB*rD$|B~B~B~B~B~B~B$'EGvBAAABB%%%AR|B%A|B%%>l0A`x|S:@*hBB0B.@SHSHT0ASH0A8AA%AAAAABByAAABAAAASHAAAAAAAAA2 B t: Trigonometry NAME_____________________________________ LAP #3 Chapter 2 Graphs of the Trigonometric Functions - Section 1 Ms. Kondracki & Mrs. Albertson  HYPERLINK "mailto:mkondracki@iwacademy.org" mkondracki@iwacademy.org,  HYPERLINK "mailto:kalbertson@iwacademy.org" kalbertson@iwacademy.org Essential Questions: What do period, amplitude, phase shift and vertical translation tell us about trig function graphs? Overview: In this LAP, we will explore the basics of graphing sine and cosine. This includes finding amplitude, phase shift, periods, and vertical shifts of a sine or cosine function given a graph or equation. Rationale: Part of learning this lap is building the understanding of a periodic function. Much of data is periodic when measured over time. For example, the sun rises early in summer and late in the winter, year after year. Because of the circular motion involved in celestial objects, the periodic data can often be modeled with the trigonometric function. (Dugopolski, pg. 106) Enrichment: Sine and Cosine Graph Design Desmos.com/calculate Due _____________________ Summative LAP Test Summative test will be mostly short answer problems in which you have the opportunity to receive partial credit if you show all work. There may be some multiple choice or true false, but the majority of your points will come from short answer problems. Late work from LAP 3 are due at the end of LAP 4. Day/DateObjectivePractice ProblemLesson 1 2-1 The Unit Circle and Graphing Identify values on the unit circle. Graph sin(x) Graph cos(x)1 Graphing project for sin and cos found on page 4 and 5 in the notes. Remember the Unit Circle Practice Unit circles are at the end of your not packet. Lesson 2 2-1 The Unit Circle and Graphing Find the period of a sine and cosine function from the graph or an equation. Find the amplitude of a sine and cosine function from the graph or an equationDaily Quiz Lesson 1 2 p. 154 Exercises 33-48 (no sketching, determine only period in radians and amplitude) 49-52 (new instructions find the value of the period and amplitude from each graph) Lesson 3 2-1 The Unit Circle and Graphing Find the phase shift of a sine and cosine function from the graph or an equation. Find the vertical shift of a sine and cosine function from the graph or an equation. Daily Quiz Lesson 2 3 p. 117 Exercises 57-62(determine only phase shift and vertical translation), 69-78 (no sketching, determine only phase shift and vertical translation) Lesson 4 2-1 The Unit Circle and Graphing Create sine and cosine equations from a graph Daily Quiz Lesson 3 4 p. 117 Exercises 84-89 Lesson 5 2-1 The Unit Circle and Graphing Create sine and cosine equations from a description Daily Quiz Lesson 4 5 p. 117 Exercises 91-100ReviewDaily Quiz Lesson 5 Lesson 1 Practice Problems are in your note packet page 4 and 5 Qr code urls  HYPERLINK "https://www.mathsisfun.com/algebra/trig-interactive-unit-circle.html" https://www.mathsisfun.com/algebra/trig-interactive-unit-circle.html  HYPERLINK "http://www.mathwarehouse.com/unit-circle/unit-circle-game.php" http://www.mathwarehouse.com/unit-circle/unit-circle-game.php  HYPERLINK "http://m.wikihow.com/Memorize-the-Unit-Circle" http://m.wikihow.com/Memorize-the-Unit-Circle  HYPERLINK "https://www.desmos.com/calculator/evltrytg3v" https://www.desmos.com/calculator/evltrytg3v (unit circle)  HYPERLINK "https://www.desmos.com/calculator/luqsynspcl" https://www.desmos.com/calculator/luqsynspcl (relates unit circle to sine) Lesson 3 Qr code urls  HYPERLINK "https://www.desmos.com/calculator/2vxtqvcjb9" https://www.desmos.com/calculator/2vxtqvcjb9 (sine phase shift)  HYPERLINK "https://www.desmos.com/calculator/w3ad1g0frq" https://www.desmos.com/calculator/w3ad1g0frq (sine vertical shift) =BCDE  4 5 M g h      b w x ஜஜvvffhh5CJOJQJaJhh|CJOJQJaJ,jhh m0J5CJOJQJUaJ#hh m0J5CJOJQJaJ%jhh mCJOJQJUaJhhEm5CJOJQJaJhhEmCJOJQJaJhh mCJOJQJaJhh m5CJOJQJaJ#=7 8    d x w x $Ifgdfl  & Fgdgd mgdEmgd m w x ;<@ξ}oaoO> hfh7KCJOJPJQJaJ#hfh7K5CJOJPJQJaJhfh m5OJPJQJhfh.S5OJPJQJhfh mCJOJQJaJ hfh.SCJOJPJQJaJ hfh mCJOJPJQJaJhh.S5CJOJQJaJhh m5CJOJQJaJ"hh m5>*CJOJQJaJhh mCJOJQJaJhh m>*CJOJQJaJ `M66 H$$Ifgdfl $Ifgdfl kd$$IflF*X t09+6    44 lapytf !.; H$$Ifgdfl $Ifgd7Kl  & F$Ifgdfl @WZ_b^̿ygUggC#hfhI%5CJOJPJQJaJ#hfh7K5CJOJPJQJaJ#hfh5CJOJPJQJaJhfh.SOJQJhfh.S5OJPJQJ hfh.SCJOJPJQJaJhfh mCJOJQJaJhfh mOJPJQJhfh7KOJPJQJ hfh7KCJOJPJQJaJ#hfh6CJOJPJQJaJ hfhCJOJPJQJaJ^K44 H$$Ifgdfl $Ifgd.Sl kd$$IflF*X t09+6    44 lapytf^tu H$$Ifgdfl $Ifgdl  & F H$$Ifgdfl  & F$Ifgdfl $stuvwIJ]^_`{)WXsxgg˅gV hfh ]CJOJPJQJaJ hfhCJOJPJQJaJhfh.SOJPJQJhfhOJPJQJhfh.S5OJPJQJ hfh.SCJOJPJQJaJhfh.SCJOJQJaJhfh.SOJQJ#hfh5CJOJPJQJaJ#hfhI%5CJOJPJQJaJ hfhI%CJOJPJQJaJuvw^K44 H$$Ifgdfl $Ifgd.Sl kdh$$IflF*X t09+6    44 lapytfIJ^_$Ifgdl  H$$Ifgdfl  & F$Ifgdfl )^K44 H$$Ifgdfl $Ifgd.Sl kd$$IflF*X t09+6    44 lapytf)WXlm$Ifgdl  H$$Ifgdfl  & F$Ifgdfl  !"#*>?@J±ޱރteUF7h] rh*OCJOJQJaJh] rh'CJOJQJaJhh*O5CJOJQJaJhh mCJOJQJaJhfhCJOJQJaJhfh5OJPJQJ#hfh5CJOJPJQJaJhfh.S5OJPJQJ hfh.SCJOJPJQJaJhfh.SCJOJQJaJhfh.SOJPJQJ hfhCJOJPJQJaJ hfhfCJOJPJQJaJ^K44 H$$Ifgdfl $Ifgd.Sl kd$$IflF*X t09+6    44 lapytf!$Ifgd.Sl  H$$Ifgdfl  & F$Ifgdfl !"#*>^K4K H$$Ifgdfl $Ifgd.Sl kd$$IflF*X t09+6    44 lapytf>?@AJ(!^YWWWWRRRgd*Ogd mkd@$$IflF*X t09+6    44 lapytf &'()tu !"\]#,̷̤o_h] rh3U5CJOJQJaJ)jhhM0JCJOJQJUaJ hhM0JCJOJQJaJhhMCJOJQJaJ%jhhMCJOJQJUaJ)jhh*O0JCJOJQJUaJ hh*O0JCJOJQJaJhh*OCJOJQJaJ%jhh*OCJOJQJUaJ!"#,9678gdMgd*O ,9:tu78񺫺hh*O5CJOJQJaJ hh@0JCJOJQJaJhh@CJOJQJaJ%jhh@CJOJQJUaJ hh3U0JCJOJQJaJ%jhh3UCJOJQJUaJhh3UCJOJQJaJ21:p m/ =!"#$% $$If!vh#vX#v#v:V l t09+65X55pytf$$If!vh#vX#v#v:V l t09+65X55pytf$$If!vh#vX#v#v:V l t09+65X55pytf$$If!vh#vX#v#v:V l t09+65X55pytf$$If!vh#vX#v#v:V l t09+65X55pytf$$If!vh#vX#v#v:V l t09+65X55pytf$$If!vh#vX#v#v:V l t09+65X55pytfs0002 0@P`p2( 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p8XV~ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@_HmH nH sH tH 8`8 Normal_HmH sH tH <@<  Heading 1$@&5CJBB  Heading 2$$@&a$5CJ@@  Heading 3$ & F@&CJ88  Heading 4$@&CJDA`D Default Paragraph FontVi@V  Table Normal :V 44 la (k (No List 4>4 Title$a$5CJ2B2 Body TextCJ:P@: Body Text 25CJ6U`!6 *O0 Hyperlink >*B*phcFV 1F *OFollowedHyperlink >*B*phOr`C m Table Grid7:V0CJOJPJQJ^JaJL`RL  m0Header  H$CJOJPJQJ^JaJB/aB  m0 Header CharCJOJPJQJaJL`rL .S List Paragraph ^m$CJaJH`H .S0 Balloon TextCJOJQJ^JaJN/N .S0Balloon Text CharCJOJQJ^JaJPK![Content_Types].xmlN0EH-J@%ǎǢ|ș$زULTB l,3;rØJB+$G]7O٭Vc:E3v@P~Ds |w<v 8B @,8   u)!>!8 4 & ( t  ! \ 9t8XXXXXXXXX8@0(  B S  ? _Hlt488656597 _Hlt488656598 _Hlt488656298 _Hlt488656299 _Hlt488656405 _Hlt488656406 _Hlt488657572 _Hlt488657573   # # :@@@@@@@@   $ $ : ,.48:BL ,.:3333II;@sJ X " ? @ @ 7:II;@sJ X " ? @ @ 7:8R\?# N>bdzB/0)0*""l"ZeZ#%r48@LF'j'5LBd7QJXsSdcpV.qhVXVj Pqh Fz$eg^|& ¦g4~nk^`k5o( ^`hH. pL^p`LhH. @ ^@ `hH. ^`hH. 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