Math 442: Trignmetry and Precalculus 2018-2019 Syllabus Part 1: Curse Infrmatin Instructr Infrmatin Instructr: Aarn Ginsburg Office: Rm 218 (Acrss frm the Math Center Rm 217) Tentative Office Hurs: Mnday Tuesday Wednesday Thursday Friday 7 th Perid 6 th Perid 5 th Perid 7 th Perid 3 rd Perid 5 th Perid 3 rd Perid 4 th Perid 6 th Perid Schl Day Tutring in the Math Center Rm 217: 5-6 Perids Daily, Check the Schedule Telephne: 917-721-2500 (Nt Direct) Ext. 3633 E-mail: aginsburg@scarsdaleschls.rg Curse Descriptin 4 perids per week, 1 credit This curse begins with an in-depth study f trignmetry, including right triangle trignmetry, trignmetric graphs, identities, and equatins. A brief unit in statistics, which explres standard deviatin and the nrmal curve, is fllwed by investigatins int tpics in precalculus, including functins, transfrmatins, plynmials, sequences, and series. Prerequisite Successful cmpletin f Math 432 Curse Materials Required Ggle Classrm/Khan Academy/Delta Math Accunts Ggle Classrm enrllment, Khan Academy, and Delta Math accunts will be set-up in class thrugh student SHS email accunts and accunt fr a majrity f the curse cntent. OpenStax Digital Textbk, Precalculus, Abramsn et al. https://penstax.rg/details/bks/precalculus Recmmended Self-Paced Practice Algebra and Trignmetry, Blitzer; Pearsn (Textbk available upn request)
Curse Supplies/Access Scientific Calculatr A 3-ring binder with graphing paper/ntebk and a flder Pencils and Erasers Desms (www.desms.cm and Desms App fr iphne r Andrid devices) Remind (Remind App fr iphne r Andrid devices) Internet cnnectin (via a cmputing device at hme/library r thrugh mbile data) Access t the Internet fr assignments, psted ntes, slutin sets, review and additinal resurces is imprtant and necessary. Part 2: Student Learning Outcmes Quantities and Variables Functins Hw can quantities best be represented when analyzing relatinships as quantities change? Why are functins imprtant? Hw d key features f parent functins help explain relatins acrss functins f the same frm? Multiple Representatins Rate f Change Zers Mdeling What makes ne representatin f a functin better suited t a prblem than anther? Hw des a functin s rat f change determine characteristics that uniquely define the functin? Why are zers, where f(x) = 0, key pints in the patters f functins? Hw des the structure f a functin s graph and equatin give insights int its zers? Which mdels best help analyze a situatin? Hw d we assess the effectiveness f a mdel? Students will meet the bjectives listed abve thrugh a cmbinatin f the fllwing: Attend all scheduled classes Cmplete all assignments with hnesty and effrt Participate penly in the curse cntent
Part 3: Curse Outline and General Tpics Functins Review Functins and Functin Ntatin, Dmain and Range, Rates f Change, Behavir f Graphs, Transfrmatin f Functins, Inverse Functins Trignmetric Functins and Angles Circles, Angles, Rtatins, Unit Circle, Pints n Circles using Sine and Csine, The Other Trignmetric Functins, Right Triangle Trignmetry Peridic Functins Sinusidal Graphs, Vertical and Hrizntal Shifts f Sinusidal Graphs, Frequency, Perid, Graphs f the Other Trignmetric Functins, Inverse Trignmetric Functins, Slving Trignmetric Equatins, Mdeling with Trignmetric Equatins Trignmetric Equatins and Identities Slving Trignmetric Equatins with Identities, Additin and Subtractin Identities, Trignmetric Expressins Applicatins f Trignmetry Statistics Law f Sines and Csines, The Area Frmula f a Triangle Summatin Ntatin, Measures f Central Tendency, Standard Deviatin, The Nrmal Distributin, Z-Scre, Statistical Inference and Reasning, Mdeling Data Sequences and Series Functins Arithmetic and Gemetric Sequences, Recursive Ntatin, Arithmetic and Gemetric Series, Infinite Series, Cmpund Interest One-t-ne Functins, Cmpsitin f Functins, Dmain and Range f Cmpsitin f Functins, Algebra f Functins, Graphing f Functins, Linear Functins, Average Rate f Change Plynmial and Ratinal Functins Pwer Functins, Plynmial Functins, Even and Odd Functins, Quadratic Functins, Graphs f Plynmial Functins, Functin Behavir, Factr and Remainder Therem, Real Zers f Plynmials, Ratinal Functins, Inverses and Radical Functins
Part 4: Grading Plicy Graded Curse Activities All assignments have the ptential t have pints awarded and recrded fr the verall grade. Typical types f assignments are classwrk, hmewrk, pp-quizzes, quizzes, labs, tests, and prjects. The pints awarded will weight the assignment grade. Fr example, if a single hmewrk is wrth 5 pints, a test may be wrth 50 pints. Late Wrk Plicy Be sure t please pay clse attentin t deadlines. There is little acceptable discussin t make up assignments, quizzes, r late wrk withut sme frm f prir ntificatin (ntificatin n the assignment due date is nt prir) r a serius and cmpelling reasn and apprval. Viewing Grades Using the current schl system we cannt push individual grade reprts ut thrugh the prtal. Grades are available upn student request and assignment reprts are frequently printed and distributed in class. Final Senirs: Students may be exempt frm the Senir Final in Math 442 by either maintaining the achieved letter grade f the first semester in the secnd semester (B- r abve) r by achieving a higher letter grade in the secnd semester cmpared t the first semester (C+ thrugh C-). The final in Math 442 is wrth 15% f the verall curse grade if it were t decrease the average r 20% if it were t increase the average. Junirs: All junirs will take the Math 442 Final. The final in Math 442 is wrth 15% f the verall curse grade if it were t decrease the average r 20% if it were t increase the average. Letter Grade Assignment Final grades assigned fr this curse will be based n the percentage f ttal pints earned and are assigned as fllws: Letter Grade Min Percentage Prgress Level A+ 97% A 93% Exceeding A- 90% B+ 87% B 83% Meeting B- 80% C+ 77% C 73% In Prgress C- 70% D+ 67% Limited Prgress D 65% F <65% Nt Yet in Prgress
Part 5: Curse Plicies Attend Class Students are expected t attend all class sessins. Necessary absences and the lss f seat-time can be assisted thrugh email cntact and by checking ut curse cntent via Ggle Classrm. Participate Ask questins. Be curius. Students will have mments t questin and cmment n cntent in class, but als utside f class using the Ggle Classrm platfrm. Thughts, questins, and cnjectures prvide the discurse t establish reasning. Build Rapprt If yu find that yu have any truble keeping up with assignments r ther aspects f the curse, make sure yu let me knw as early as pssible. As yu will find, building rapprt and effective relatinships with yur peers and teachers are key t becming an effective student. Make sure that yu are practive in infrming me (r any f the schl supprt team) when difficulties arise during the semester s that we can help yu find a slutin. Cmplete Assignments Sme assignments fr this curse may require an nline submissin. Fr example, if we have an nline hmewrk assignment, the nline submissins are date-time stamped and will autmatically be marked as late past the given due date. Assignments must be submitted by the given deadline r special permissin must be requested frm me befre the due date. Late r missing assignments will affect the student s grade. Cmmit t Integrity As a student in this curse yu are expected t maintain high degrees f academic integrity, cmmitment t active learning, participatin in this class, and als integrity in yur behavir in and ut f the classrm.