AFM (Advanced Functions and Modeling) The AFM Common Exam will be based on the 2003 NC Standard Course of Study found at: http://www.ncpublicschools.org/docs/curriculum/mathematics/scos/math2003.pdf (document pg. 56–57; print pg. 60–61) The common exam will consist of multiple choice questions and short constructed response items for a total of 35 to 40 items. The test will be in two parts, each part given forty-five minutes to complete. Constructed response items will require students to give a correct numeric answer and show their work. Constructed response items will receive 0, 1, 2, or 3 points. Calculators will be allowed on all items. According to the NC Assessment Specifications Summary, the following weights will be applied to each standard on the Common Exam: Standard Multiple Choice Constructed Response Data Analysis and Probability 1.01, 1.02 9% to 15% 10% to 14% 1.03 18% to 26% 0% 2.01, 2.04, 2.05 32% to 47% 0% 4% to 8% 4% to 8% Total Percent of Items 78% to 86% 14% to 22% Total Percent of Score Points 56% to 66% 34% to 44% Algebra 2.02, 2.03 This information was taken from: http://www.ncpublicschools.org/docs/educatoreffect/measures/specifications/pre-calculus.pdf The following document is a curriculum map developed to assist in the pacing of AFM to ensure that all standards are addressed with regards to the common exam. There are 7 units total. Each unit identifies the standard being addressed and various essential questions based on each substandard. A suggestion of pacing is included. This suggestion includes any unit tests. The total pacing of the course is over 80 days which allows a 10 day buffer. It is recommended that at least part of this 10 day buffer be used at the end of the course for a final review before taking the common exam. Each unit includes key academic vocabulary. These words are key words but it is likely that more vocabulary will be needed throughout each unit. The key academic vocabulary is not organized in any specific order. Internet resources are also included within each unit. These resources include tutorials, teacher notes, and student worksheets. All resources listed are internet based but Algebra 2 textbooks, Trigonometry textbooks, and Higher Algebra textbooks may be utilized as well. Last Updated 10/26/12 AFM Curriculum Map Unit Name: Univariate Data Analysis Unit Number: 1 Enduring Understanding Collect, display, analyze, compare, and interpret univariate data. Standard Essential Questions 1.02 (a–f) Summarize and analyze univariate data to solve problems. 1.02a,e) Can I compare methods of data collection? Can I choose a correct method and accurately collect and display data? Can I choose the best method to display data? 1.02b) Can I apply various statistical principles and methods in sample surveys and draw conclusions about the sample data? 1.02c) Can I determine measures of central tendency and spread given a set of data? Can I interpret what various values of tendency and spread suggest about a set of data? 1.02d) Can I recognize, define, and use the normal distribution curve? Can I determine if a set of data models the normal distribution curve? 1.02f) Can I compare distributions of univariate data? Last Updated 11/10/12 Pacing Suggestion 8 Days Key Academic Vocabulary Quantitative Qualitative Population Sample Random Simple Stratified Systematic Biased Convenience Voluntary Normal Distribution Curve Mean Median Mode Range Quartiles Interquartile Range Line Plot Box and Whisker Plot Histogram Center Shape Spread AFM Curriculum Map Unit Name: Univariate Data Analysis Unit Number: 1 Sample Resources Location of Resources **Multiple Resources Online Notes Descriptions/Examples Videos Data Collection Display Data Statistical Principles Central Tendency and Spread Normal Distribution Curve http://stattrek.com/statistics/charts/data-patterns.aspx Last Updated 11/10/12 http://people.uwec.edu/piercech/researchmethods/data%20collection%20methods/data%20collection%20methods.htm http://nnlm.gov/evaluation/workshops/measuring_your_impact/DataCollectionHandout.pdf http://www.prm.nau.edu/prm447/methods_of_data_collection_lesson.htm http://www.teachervision.fen.com/skill-builder/graphs-and-charts/48945.html http://web.lemoyne.edu/~giunta/chm151l/plots.html http://changingminds.org/explanations/research/statistics/statistics.htm Interesting Article/Real life application: http://www.cl.cam.ac.uk/~jgd1000/patrec.pdf Interesting Article/Real life application: http://hdr.undp.org/en/media/Primer_ch1.pdf http://ceaccp.oxfordjournals.org/content/7/4/127.full http://www.renfrew.edu.on.ca/sec/fhs/Courses/FOV1-0001D57E/Review%20on%20Central%20Tendency.pdf?FCItemID=S0033C8AF http://olga-sediako.wikispaces.com/file/view/Central,+Spread+advanced.pdf http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=8&ved=0CEQQFjAH&url=http%3A%2F%2Fmmcnally.wikispaces.com%2 Ffile%2Fview%2FMeasures%2Bof%2BCentral%2BTendency%2BWorksheet%2B9.16.09.doc&ei=XYqKUNzNH4Gm9ATK9oDADw&usg=AFQj CNH3qOJwE23DgQ5AszfEpwwVIVuv7Q http://www.mathsisfun.com/data/standard-normal-distribution.html http://math.about.com/od/glossaryofterms/g/Bell-Curve-Normal-Distribution-Defined.htm http://www.tushar-mehta.com/excel/charts/normal_distribution/ http://www.jmap.org/JMAP/RegentsExamsandQuestions/PDF/WorksheetsByPITopic/Algebra_2_Trigonometry/Statistics_and_Probability/A2.S.5.NormalDistributions1.pdf http://www.jmap.org/StaticFiles/PDFFILES/WorksheetsByTopic/PROBABILITY/Drills/PR_Normal_Probability.pdf http://www.jmap.org/htmlstandard/Algebra_2_Trigonometry/Statistics_and_Probability/A2.S.5.htm http://www.stat.iastate.edu/courses/stat226_A/Worksheets/(1.3_B)%20NormDistWorksheet.pdf http://www08.tacomacc.edu/home/dstraayer/Published/MA%26146/Worksheets/Worksheet%20on%20the%20Normal%20Distribution%20Curve.pd f http://www.biostat.umn.edu/~susant/worksheets/WKSHT6a_NormalDist_Soln.pdf AFM Curriculum Map Unit Name: Probability Unit Number: 2 Enduring Understanding Use counting principles and theorems to solve problems. Standard Essential Questions 1.03 a-f Use theoretical and experimental probability to model and solve problems. 1.03a) Can I use addition and multiplication principles to solve problems? 1.03b) Can I calculate and apply permutations and combinations to solve problems? Can I determine when to use a permutation and when to use a combination? 1.03c) Can I create and use simulations for probability models? Can I answer questions about various outcomes given a model? 1.03d) Can I find expected values and determine fairness? 1.03e) Can I identify and use discrete random variables to solve problems? 1.03 f) Can I use the binomial theorem to expand a binomial raised to a large power? Can I use the binomial theorem to identify the nth term of an expanded binomial raised to a power? Can I use the binomial theorem to assist in solving a probability problem? Last Updated 11/10/12 Pacing Suggestion 10 Days Key Academic Vocabulary Probability Counting Event Experiment Outcome Mutually Exclusive Independent Events Addition Principle Multiplication Principle Combination Permutation Factorial Theoretical Empirical Fairness Discrete Random Variable Binomial Theorem Pascal’s Triangle Expected Values Random Biased Sample Sample Space Binomial Coefficient AFM Curriculum Map Unit Name: Probability Unit Number: 2 Sample Resources Location of Resources Probability in KhanAcademy Addition and Multiplication Principles http://www.khanacademy.org/math/probability Permutations and Combinations Probability Models Expected Values and Fairness Discrete Random Last Updated 11/10/12 http://www.cs.odu.edu/~toida/nerzic/content/counting/basic_principles.html http://www.intmath.com/counting-probability/2-basic-principles-counting.php http://www.math.hawaii.edu/~hile/math100/comba.htm http://jwilson.coe.uga.edu/EMAT6680Fa09/Davenport/Probability%20IU.pdf http://math.illinoisstate.edu/day/courses/old/305/contentbasiccounting.html http://www.ciclt.net/ul/okresa/MATH%201unit%204%20_TheChanceOf%20Winning.pdf http://www.cghsmath.com/Courses/integratedalgebra/Notes/Chapter%206/6.1%20Handout.pdf http://www.austincc.edu/powens/+BusEco/HTML/6-3/6-3.html http://www.mathsisfun.com/combinatorics/combinations-permutations.html http://www.omegamath.com/Data/d2.2.html http://betterexplained.com/articles/easy-permutations-and-combinations/ http://www.khanacademy.org/math/probability/v/permutations-and-combinations-1 http://www.themathpage.com/aprecalc/permutations-combinations.htm http://www.algebra.com/algebra/homework/Permutations/change-this-name6021.lesson http://www.stat.yale.edu/Courses/1997-98/101/probint.htm http://www.math.csusb.edu/faculty/stanton/m262/intro_prob_models/intro_prob_models.html http://www.zweigmedia.com/RealWorld/tutorialsf15e/frames7_3.html http://library.thinkquest.org/11506/pmodels.html http://www.teachersdomain.org/resource/vtl07.math.data.pro.lpprobgame/ http://www.teachitmaths.co.uk/index.php?CurrMenu=1392&T=2408 http://www.merga.net.au/documents/RP_Peard_1993.pdf http://jwilson.coe.uga.edu/emt668/EMT668.Folders.F97/Hales/lessons/Lesson%203/lesson3.html http://wilcoxen.maxwell.insightworks.com/pages/126.html http://vimeo.com/25484461 http://www.stat.yale.edu/Courses/1997-98/101/ranvar.htm AFM Curriculum Map Variables http://people.stern.nyu.edu/wgreene/Statistics/DiscreteRandomVariablesCollection.pdf http://www.mathsrevision.net/alevel/pages.php?page=53 http://www.stat.auckland.ac.nz/~wild/ChanceEnc/Ch05.pdf http://www.stats.gla.ac.uk/steps/glossary/probability_distributions.html Binomial Theorem http://www.mathsisfun.com/algebra/binomial-theorem.html http://www.purplemath.com/modules/binomial.htm http://www.khanacademy.org/math/precalculus/v/binomial-theorem--part-1 http://www.amscopub.com/%5Cimages%5Cfile%5CFile_671.pdf http://tutorskingdom.com/statistics-homework-help-2/binomial-probability/binomial-theorem-on-probability-2/ http://www.scs.sk.ca/hch/harbidge/B30/Unit%202/6prob/binomialprob.htm Last Updated 11/10/12 AFM Curriculum Map Unit Name: Recursive Functions Unit Number: 3 Enduring Understanding Use recursively-defined functions to solve problems. Standard Essential Questions 2.05 (a-d) Distinguish between arithmetic and geometric sequences and series and use formulas to solve problems. 2.05a) Can I find the sum of a finite sequence? Can I use and interpret summation notation? Can I determine the specific term of a sequence? Can I distinguish between arithmetic and geometric sequences? 2.05b) Can I find the sum of an infinite sequence? Can I distinguish between finite and infinite sequences? Can I determine the specific term of a sequence? 2.05c) Can I determine whether or not a series converges or diverges? 2.05d) Can I translate between recursive and explicit representations? Last Updated 11/10/12 Pacing Suggestion 12 Days Key Academic Vocabulary Term Finite Sequence Infinite Sequence Series Recursion Explicit Arithmetic Sequence Arithmetic Series Geometric Sequence Arithmetic Mean Geometric Mean Partial Sum Convergent Divergent Geometric Series Common Difference Common Ratio General Term AFM Curriculum Map Unit Name: Recursive Functions Unit Number: 3 Sample Resources Location of Resources Overall/Culmination http://home.windstream.net/okrebs/page133.html http://www.mathsisfun.com/algebra/sequences-series.html http://www.batesville.k12.in.us/physics/Discrete/Sequences_Series/summary.htm http://www.sparknotes.com/math/precalc/sequencesandseries/terms.html Finite Sequences http://www.wiziq.com/tutorial/178-Finite-Sequences-and-Series https://www.softchalkcloud.com/lesson/files/JWSnYa7QyqLGc8/Sum_Finite_Geometric_Series_print.html http://fym.la.asu.edu/~tturner/MAT_117_online/SequenceAndSeries/Geometric_Sequences.htm Infinite Sequence http://www.math.northwestern.edu/~mlerma/courses/math214-2-03f/notes/c2-sequences.pdf http://calculus7.com/id15.html http://www.math.utah.edu/~carlson/teaching/calculus/series.html http://mathbits.com/MathBits/TISection/PreCalculus/infinite%20series.htm Convergence vs. Divergence http://tutorial.math.lamar.edu/Classes/CalcII/ConvergenceOfSeries.aspx http://citizendia.org/Convergent_series http://www.vitutor.com/calculus/sequences/convergent_divergent.html http://math.stackexchange.com/questions/20665/convergent-or-divergent-series http://tutorial.math.lamar.edu/classes/calcII/series_special.aspx http://math.tutorvista.com/discrete-math/convergence-and-divergence.html Recursive vs. Explicit Last Updated 11/10/12 http://www.regentsprep.org/Regents/math/algtrig/ATP3/Recursive.htm http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_GeoSeq.xml http://www.newhorizonsmath.com/3/post/2011/11/explicit-vs-recursive-formulas-for-arithmetic-sequences.html http://www.kenston.k12.oh.us/khs/academics/math/AA_11-3B_geometric_sequences-recursive.pdf http://www.mecca.org/~halfacre/MATH/plesson4.htm http://www.purplemath.com/modules/nextnumb3.htm http://lsnhs.leesummit.k12.mo.us/jmumaw/Geometry%201st%20semester/Unit%202/Arithmetic%20and%20Geometric%20Sequence%20Part%20 2%20Student%20Notes.pdf http://www.kenston.k12.oh.us/khs/academics/math/AA_11-2B_arithmetic_sequences_(recursive).pdf AFM Curriculum Map Unit Name: Linear and Polynomial Bivariate Data Unit Number: 4 Enduring Understanding Create and use calculator-generated models of linear and polynomial functions to solve problems (should be review from previous math courses). Standard Essential Questions 1.01 (a-b) Determine a line of best fit based on data points and make predictions based on the line of best fit. 1.01a) Can I interpret the constants, coefficients, and bases in the context of the data of linear and polynomial functions? 1.01b) Can I check models for goodness-of-fit and use the most appropriate model to draw conclusions and make predictions? Last Updated 11/10/12 Pacing Suggestion 5 Days Key Academic Vocabulary Constant Coefficient Best Fit Line Linear Regression Correlation AFM Curriculum Map Unit Name: Linear and Polynomial Bivariate Data Unit Number: 4 Sample Resources Location of Resources Calculator Info http://fym.la.asu.edu/~tturner/MAT_117_online/Regression/Linear%20Regression%20Using%20the%20TI-83%20Calculator.htm http://calculator.maconstate.edu/cubic_regression/index.html http://school.lardbucket.org/math/calculator/regression.php Linear http://mathbits.com/MathBits/TISection/statistics1/LineFit.htm http://www.physics.purdue.edu/resources/excel_straight_line/ http://serc.carleton.edu/mathyouneed/graphing/bestfit.html http://msenux.redwoods.edu/IntAlgText/chapter3/section5.pdf http://people.hofstra.edu/stefan_waner/realworld/calctopic1/regression.html http://www.purplemath.com/modules/scattreg3.htm http://www2.honolulu.hawaii.edu/instruct/natsci/science/brill/sci122/SciLab/L6/bestfit.html http://mathbits.com/MathBits/TINSection/Statistics1/lineBestFit.html Polynomial http://office.microsoft.com/en-us/help/choosing-the-best-trendline-for-your-data-HP005262321.aspx http://download.intel.com/education/Common/en/Resources/DEP/track/track_spreadsheet_trendlines.pdf http://www.wmueller.com/precalculus/families/1_52.html http://people.uncw.edu/tompkinsj/math/111Algebra/Graphing%20Scatter%20Plots%20and%20Mathematical%20Models%20on%20the%20TI.htm Last Updated 11/10/12 AFM Curriculum Map Unit Name: Logarithmic Functions Unit Number: 5 Enduring Understanding Solve logarithmic functions using various methods and create calculator-generated models to solve problems. Standard Essential Questions 2.01 (a-b) 1.01 (a-b) Solve logarithmic functions and create models of best fit to make predictions. 2.01a) Can I solve logarithmic functions using tables, graphs, and algebraic properties? Can I expand and condense logarithms? 2.01b, 1.01a) Can I interpret the constants, coefficients, and bases in the context of the problem? 1.01b) Can I check models for goodness-of-fit and draw conclusions and make predictions based on the data? Last Updated 11/10/12 Pacing Suggestion 13 Days Key Academic Vocabulary Logarithm Logarithmic Form Exponential Form Base Natural Log Product Rule Quotient Rule Power Rule Expanding Condensing Exponentiation Logistic Growth AFM Curriculum Map Unit Name: Logarithmic Functions Unit Number: 5 Sample Resources Location of Resources Overall http://www.sparknotes.com/math/algebra2/logarithmicfunctions/ http://www.cliffsnotes.com/study_guide/Logarithmic-Functions.topicArticleId-10792,articleId-10791.html http://www20.csueastbay.edu/library/scaa/files/pdf/Alg%20rules.pdf http://www.khanacademy.org/math/algebra/logarithms/v/introduction-to-logarithms Logarithmic Functions http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut43_logfun.htm http://www.purplemath.com/modules/graphlog.htm http://tutorial.math.lamar.edu/Classes/Alg/LogFunctions.aspx http://oregonstate.edu/instruct/mth251/cq/FieldGuide/logarithmic/lesson.html http://www.regentsprep.org/Regents/math/algtrig/ATP8b/logFunction.htm http://www.sosmath.com/algebra/logs/log4/log47/log47.html http://www.purplemath.com/modules/solvelog2.htm http://www.purplemath.com/modules/solvelog.htm http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut46_logeq.htm http://www.kutasoftware.com/FreeWorksheets/Alg2Worksheets/Logarithmic%20Equations.pdf http://www.kutasoftware.com/FreeWorksheets/Alg2Worksheets/Graphing%20Logarithms.pdf http://infinity.cos.edu/algebra/ProblemsSolved/Chapter%2012/Chapter%2012.6_Graphing%20Logarithms%20and%20Exponentials.pdf http://mathbits.com/MathBits/TISection/Algebra2/logarithms.htm http://www.purplemath.com/modules/graphlog2.htm Models/Regression http://www.augustatech.edu/math/molik/logarithmicmodels.pdf http://dl.uncw.edu/digilib/mathematics/algebra/mat111hb/eandl/elmodels/elmodels.html http://academics.utep.edu/Portals/1788/CALCULUS%20MATERIAL/3_5%20EXPO%20AND%20LOG%20MODELS.pdf http://www.algebralab.org/Word/Word.aspx?file=Algebra_LogarithmicModels.xml http://images.pcmac.org/SiSFiles/Schools/AL/LawrenceCounty/EastLawrenceHigh/Uploads/DocumentsSubCategories/Documents/Chapter%203% 20Section%205.PDF http://mathbits.com/MathBits/TISection/Statistics2/logarithmic.htm http://faculty.tcc.edu/PGordy/Excel/logtrend.pdf http://www.pstcc.edu/facstaff/jahrens/calculator/stats83.pdf http://www.emathinstruction.com/sitebuildercontent/sitebuilderfiles/U10L11ExponentialAndLogarithmicRegression.pdf Last Updated 11/10/12 AFM Curriculum Map Unit Name: Piece-Wise and Power Functions Unit Number: 6 Enduring Understanding Solve Piece-Wise and Power Functions using various methods. Determine the goodness-of-fit of Power Functions and interpret the results. Standard Essential Questions 2.02 (a-b) 2.03 (a-b) 1.01 (a-b) Solve piece-wise functions and draw conclusions based on equations. Solve power functions, draw conclusions based on equations, and find the line of best fit. 2.02a) Can I solve piece-wise functions using tables, graphs, and algebraic properties? Can I evaluate piece-wise functions? 2.02b, 1.01a) Can I interpret the constants, coefficients, and bases in the context of the problem? 2.03a) Can I solve power functions using tables, graphs, and algebraic properties? Can I evaluate power functions? 2.03b, 1.01a) Can I interpret the constants, coefficients, and bases in the context of the problem? 1.01b) Can I check models for goodness-of-fit for power functions and make predictions and draw conclusions based on generated models? Last Updated 11/10/12 Pacing Suggestion 14 Days Key Academic Vocabulary Floor Function Domain Range Interval Continuous Discontinuous Parameters Scaling Factor Standard Notation Exponentiation AFM Curriculum Map Unit Name: Piece-Wise and Power Functions Unit Number: 6 Sample Resources Location of Resources Piece-Wise Functions Power Functions Power Regression Last Updated 11/10/12 http://www.mathsisfun.com/sets/functions-piecewise.html http://www.analyzemath.com/Graphing/piecewise_functions.html http://www.uiowa.edu/~examserv/mathmatters/tutorial_quiz/geometry/piecewisefunctions.html http://jwilson.coe.uga.edu/emt668/EMAT6680.Folders/Barron/unit/Lesson%204/4.html http://www.math.siu.edu/previews/150/150_topic2.pdf http://www.coolmath.com/algebra/21-advanced-graphing/03-piecewise-functions-01.htm http://www.google.com/url?sa=t&rct=j&q=piecewise%20function&source=web&cd=28&ved=0CFgQFjAHOBQ&url=http%3A%2F%2Fmath.mis souristate.edu%2Fassets%2FMath%2FPiecewise-Defined_Functions_HomeworkStudent_Copy.doc&ei=3hqfUNbnPMe70QHkzIC4Dg&usg=AFQjCNERsF9vFXv0EjE701ZCR1e0DwCTXg http://www.ditutor.com/functions/piecewise_function.html http://www.math.utah.edu/~wortman/1050-text-pdf.pdf http://www.houstonact.org/documents/GeorgeTIpiecewise.pdf http://www.wmueller.com/precalculus/families/1_41.html http://www.google.com/url?sa=t&rct=j&q=power%20functions&source=web&cd=12&ved=0CGYQFjAL&url=http%3A%2F%2Fwww.letu.edu% 2Fpeople%2Fstevearmstrong%2FMath1303%2FSecondEd%2520ppt%2520lessons%2FLesson%25209.1A.ppt&ei=yRufUOxNpL7QAdPpgaAE& usg=AFQjCNG6J7GRBFeDlWd8aAcNiTtWWFangQ http://www.ableweb.org/volumes/vol-20/1-colton/scalingtutorial/powerfunction.html http://spot.pcc.edu/~kkling/Mth_111c/SectionIV_Power_Polynomial_and_Rational_Functions/Module1_Power_Functions/Module_1_Power_Func tions.pdf http://www.dean.usma.edu/math/courses/ma101/AY11-02/MRCW%20AY10-01/MRCW%20(4.2).pdf http://www.math.dartmouth.edu/opencalc2/cole/lecture16.pdf http://www.wmueller.com/precalculus/families/1_40.html http://www.math.dartmouth.edu/opencalc2/cole/lecture23.pdf http://www.google.com/url?sa=t&rct=j&q=solving%20power%20functions&source=web&cd=3&ved=0CDkQFjAC&url=http%3A%2F%2Fwww. sonoma.edu%2Fpeople%2FTiwari%2FClasses%2Fmath107%2Fsolvingequations1.doc&ei=VR2fUO25D_K00QGawIDAAw&usg=AFQjCNG_fi VFG04GTUz_N983gyzLHjpWig http://www.classzone.com/eservices/home/pdf/teacher/LA207CAD.pdf http://mi-math-companion.wikispaces.com/file/view/Power1.2+Inst+Activiies.pdf http://www.google.com/url?sa=t&rct=j&q=solving%20power%20functions&source=web&cd=25&ved=0CEMQFjAEOBQ&url=http%3A%2F%2 Fwww.kv.k12.in.us%2Fmoodle%2Fmod%2Fresource%2Fview.php%3Fid%3D433&ei=2R2fUOmXM6aV0QHxxoCYBw&usg=AFQjCNGkJ8I6u r6m7uAEG0daiwCJfovelA http://mathbits.com/MathBits/TISection/Statistics2/power.htm http://faculty.tcc.edu/PGordy/Excel/powstat.pdf AFM Curriculum Map http://www.ehow.com/how_8578943_graph-power-function.html Last Updated 11/10/12 AFM Curriculum Map Unit Name: Trigonometric Functions Unit Number: 7 Enduring Understanding Use trigonometric functions to model and solve problems. Standard Essential Questions 2.04 (a-d) Solve and graph trigonometric functions. Solve oblique triangles using the law of sines and law of cosines. 2.04a) Can I solve sine and cosine functions using tables, graphs, and algebraic properties? Can I use trigonometric definitions to find angles and sides given a right triangle? Can I solve a right triangle? 2.04b) Can I graph and identify transformations of the sine and cosine function? 2.04c) Can I develop and use the law of sines and law of cosines to solve oblique triangles? Can I distinguish between the scenarios of when to use the different laws to solve? Last Updated 11/10/12 Pacing Suggestion 18 Days Key Academic Vocabulary Unit Circle Sine Cosine Tangent Period Periodic Amplitude Shifts Even Odd Cofunction Identities Oblique Triangle Right Triangle Pythagorean Theorem Law of Sines Law of Cosines Ambiguous Case AFM Curriculum Map Unit Name: Trigonometric Functions Unit Number: 7 Sample Resources Location of Resources Combination http://www.aw-bc.com/scp/beecher_penna_bittinger/downloads/ch06pgs507-568.pdf http://math2.org/math/algebra/functions/sincos/properties.htm http://www.analyzemath.com/Trigonometry.html http://www.purplemath.com/modules/solvtrig.htm http://www.khanacademy.org/math/trigonometry/v/inverse-trig-functions--arcsin http://www.sosmath.com/algebra/solve/solve9/s96/s96.html http://www.sparknotes.com/math/trigonometry/trigonometricequations/section1.rhtml http://www.regentsprep.org/Regents/math/algtrig/ATT10/trigequations2.htm http://scidiv.bellevuecollege.edu/dh/ccal/CC7.2.pdf http://math.kendallhunt.com/documents/daa2/cl/daa2cl010_13.pdf http://www.math.vt.edu/people/renardyy/class_home/trigReview1205.pdf http://www.regentsprep.org/Regents/math/algtrig/ATT7/sinusoidal.htm http://www.math.dartmouth.edu/opencalc2/cole/lecture10.pdf http://www.cliffsnotes.com/study_guide/Graphs-Sine-and-Cosine.topicArticleId-11658,articleId-11595.html http://www.google.com/url?sa=t&rct=j&q=graphing%20cosine%20function&source=web&cd=20&ved=0CGIQFjAJOAo&url=http%3A%2F%2F www.tridenttech.edu%2FTrig_graphs_sin_and_cos2(1).pps&ei=GCOfUJKzJ5Lm8wSdrYHQCw&usg=AFQjCNEfQ-NJIPlOtAsfbsfb6-7IpeccyQ http://www.math.uakron.edu/~tprice/Trig/Graphs.pdf http://homepages.ius.edu/MEHRINGE/M126/Worksheets/Worksheet%204.1%20&%204.2%20Graphing%20Sine%20&%20Cosine%20Function.p df http://sites.csn.edu/ehutchinson/Notes/4_5NOTES128.pdf http://www.regentsprep.org/Regents/math/ALGEBRA/AT2/Ltrig.htm http://www.clarku.edu/~djoyce/trig/right.html http://www.purplemath.com/modules/grphtrig.htm http://people.hofstra.edu/stefan_waner/trig/trig1.html http://hotmath.com/hotmath_help/topics/graphing-sine-function.html http://mathonweb.com/help_ebook/html/trigeqs.htm http://earthmath.kennesaw.edu/main_site/review_topics/ppsa_trig_functions.htm Sine Cosine Law of Sines Law of Cosines Last Updated 11/10/12 http://hotmath.com/hotmath_help/topics/graphing-cosine-function.html http://www.onlinemathlearning.com/cos-graph.html http://www.clarku.edu/~djoyce/trig/laws.html http://www.cut-the-knot.org/pythagoras/cosine2.shtml http://www.regentsprep.org/Regents/math/algtrig/ATT12/derivelawofsines.htm AFM Curriculum Map Last Updated 11/10/12 http://www.cpm.org/pdfs/skillBuilders/GC/GC_Extra_Practice_Section10.pdf http://www.math.usu.edu/~rheal/online1060/chapter7/7-3.pdf http://www.mayfieldschools.org/userfiles/1268/Classes/13068/Answers%20Quiz%20%20law%20of%20Sines%20Cosines%20.pdf http://math.ucsd.edu/~wgarner/math4c/textbook/chapter6/pdf/law_sines_cosines.pdf http://www.utdallas.edu/dept/abp/PDF_Files/Precalculus_Folder/LawofSinesandCosines.pdf http://faculty.atu.edu/mfinan/1203/Lecture25.pdf http://www.coastal.edu/mathcenter/HelpPages/Handouts/oblique.PDF