Geometric Proofs

• List of theorems and postulates for proofs  http://www.regentsprep.org/Regents/mathb/1b/theorems.htm
• Styles of proofs  http://www.regentsprep.org/Regents/mathb/1c/styleofproof.htm
• Beginning proofs of congruent triangles  http://www.regentsprep.org/Regents/mathb/1b/BegTriPrf.htm
• Indirect proofs  http://regentsprep.org/Regents/mathb/1e/indirectpractice.htm

Similar Triangles & Right Triangles

• Similar triangles  http://library.thinkquest.org/C006354/7_3.html
• Right triangle with altitude drawn to hypotenuse + special right triangles
  http://library.thinkquest.org/C006354/8_1.html?tqskip1=1&tqtime=1028
• Similarity review sheet
  http://www.mathematicshelpcentral.com/lecture_notes/college_geometry_folder/similarity.htm
• Applications of special right triangles http://www.regentsprep.org/Regents/mathb/5B1/PracSpecial.htm

Circles and Measurement

• Circles in Art http://www.ehlenberger.com/points.htm
• Central and Inscribed angles-definitions http://www.pisgah.us/organiz/geometry/accessoryinfo/Circle-2.html
• Arcs of circle-definitions http://www.e-zgeometry.com/class/class9/9.1.2/9.1.2.htm
• Definitions and Theorems about circles http://www.mpa.candler.nc.us/organiz/Geometry/Chp9-2.htm
• Quiz on terms using a diagram http://www.math.com/school/subject3/practice/S3U1L6/S3U1L6Pract.html
• Summary of formulas for angles, arcs & segments
  http://192.154.43.167/goebel/statecon/topics/arml/CirclesF.pdf
• Arc length and area of circle http://www.pinkmonkey.com/studyguides/subjects/trig/chap1/t0101201.asp
• Textbook pages for unit http://www.pinkmonkey.com/studyguides/subjects/geometry/chap7/g0707101.asp
• Practice problems http://www.sparknotes.com/math/geometry1/circles/
• Practice problems http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-02-825275-6&chapter=9&lesson=2

• Summary of circles & measurement http://www.mathematicshelpcentral.com/lecture_notes/college_geometry_folder/circles.htm

Algebraic Operations

• Simplifying  http://regentsprep.org/Regents/mathb/2B2/LAlgFrac.htm
• Simplifying worksheet  http://www.geocities.com/mathematicsplus/y11_pre_maths_fractions1_worksheet.html
• Addition of rational expressions lesson  http://www.gomath.com/htdocs/lesson/fraction_lesson3.htm
• Subtraction of rational expressions lesson  http://www.gomath.com/htdocs/lesson/fraction_lesson4.htm
• Interactive Multiplication Practice  http://webalgebra.math.uiuc.edu/algfracs/agfc.htm
• Division of rational expressions lesson  http://www.regentsprep.org/Regents/mathb/3a1/lessondiv.htm
• Division of rational expressions practice  http://www.regentsprep.org/Regents/mathb/3a1/practicediv.htm
• Solving Equations with algebraic fractions  http://studentservices.fgcu.edu/learning/math/EquatAlgFrac/sld001.htm
• Review of basic operations with rational expressions  http://www.mathnstuff.com/math/algebra/afract.htm

Solving Systems of Equations Algebraically & Graphically

• Lessons & examples of solving linear & non-linear systems algebraically & graphically http://www.purplemath.com/modules/syseqgen.htm
• Review of three cases of solving linear equations graphically http://rachel5nj.tripod.com/NOTC/ssoewg.html
• Review: Using graphic calculator to investigate parabolas http://regentsprep.org/Regents/math/conics/Tparab.htm
• Practice quiz on of graphs of parabolas http://college.hmco.com/cgi-bin/SaCGI.cgi/ace1app.cgi?FNC=AcePresent__Apresent_html___mathematics_aufmann_intermediate_applications_5e_08-06
• Review of methods of solving quadratic equations http://www.scibridge.sdsu.edu/coursemats/math/quad_sys/p5sys.html
• Practice quiz on applications of quadratic equations http://college.hmco.com/cgi-bin/SaCGI.cgi/ace1app.cgi?FNC=AcePresent__Apresent_html___mathematics_aufmann_intermediate_applications_5e_08-04
• More examples of solving systems of nonlinear equations algebraically http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut52_nonlinear_sys_ans.htm
• Tutorial of solving systems of nonlinear equations http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut52_nonlinear_sys.htm
• More advanced problems of solving systems of nonlinear systems of equations http://www.okc.cc.ok.us/maustin/Nonlinear_Systems/Nonlinear%20Systems%20of%20Equations.htm

Complex Numbers

• Overview of Unit  http://www.purplemath.com/modules/complex.htm
• Sets of numbers  http://www.geocities.com/thesciencefiles/sets/ofnumbers.html
• History of hypercomplex numbers  http://history.hyperjeff.net/hypercomplex.html
• Complex numbers – Definitions of Terms & Operations http://www.sosmath.com/complex/number/basic/soscv.html
• Simplifying square roots of negative numbers http://www.regentsprep.org/Regents/mathb/3c1/SquareRootLes.htm
• Practice with square roots of negative numbers http://www.regentsprep.org/Regents/mathb/3c1/SquareRootPrac.htm
• Complex Plane  http://www.clarku.edu/~djoyce/complex/plane.html
• Absolute Value/Magnitude of Complex Numbers
  http://www.clarku.edu/~djoyce/complex/abs.html
• Practicing Arithmetic of Complex Numbers  http://www.regentsprep.org/Regents/mathb/3c2/practicepage.htm
• Puzzle Maze Game  http://www.regentsprep.org/Regents/mathb/3c2/complexmaze.htm
• Cyclic Powers of i  http://www.regentsprep.org/Regents/mathb/3c3/powerlesson.htm
• Practice with powers of i  http://www.regentsprep.org/Regents/mathb/3c3/powerprac.htm
• Complex numbers-simplification worksheet
  http://www.regentsprep.org/Regents/mathb/3c1/SquareRootT.htm
• Practice of multiplication and Division of Complex Numbers http://www.regentsprep.org/Regents/mathb/3C4/multprac.htm
• Examples of solving quadratics with imaginary roots http://regentsprep.org/Regents/mathb/e/quadcomlesson.htm
• More Practice  http://scholar.hw.ac.uk/site/maths/topic5.asp?outline=

Transformations & Functions

• Reflections in art http://www.usefilm.com/image/27494.html
• Review if linear transformations-interactive lessons and exercises http://www.cet.ac.il/math/function/english/line/transformations/
• Transformations of parabolas and other graphs http://www.math.armstrong.edu/MathTutorial/exerciseStatements/ShiftingGraphs/TransformingGraphs.html
• Lesson on summary of transformations of functions http://math.arizona.edu/~caine/pdf/Transform_Notes.pdf
• Review of rules and graphs http://www.st-gregorys-comp.kent.sch.uk/images/departments/maths/Transformationsofgraphs.doc
• New graphs from old ones: with visual examples on transformations of graphs http://people.hofstra.edu/faculty/Stefan_Waner/calctopic1/scaledgraph.html
• Exercises with solutions http://people.hofstra.edu/faculty/Stefan_Waner/calctopic1/scaledgraphex.html
• Interactive applet on transformations of the sine and cosine functions http://members.shaw.ca/ron.blond/sc.APPLET/
• Quadratic graphs by transformations http://www.mathsteacher.com.au/year10/Ch16_quadratic_functions/05_dilation/quadratic.htm
• Quiz on transformations of equations http://highered.mcgraw-hill.com/sites/0072450282/student_view0/chapter11/section2/warm-ups.html
• Review of shifts with examples http://www.tacoma.ctc.edu/home/smacdona/115/notes/pdf/s3-4.pdf
• Lesson on transformations http://www.regentsprep.org/Regents/mathb/7b3/funclesson1.htm
• Examples & solutions with TI 83 specifications http://www.regentsprep.org/Regents/mathb/7b3/funcprac.htm
• Families of functions http://www.regentsprep.org/Regents/mathb/7b3/funclesson.htm
• Review notes on transformation, reflections & Symmetry http://members.aol.com/billsmathpages/docs/trans/trans.html
• Lessons on Transformations of functions http://www.purplemath.com/modules/fcntrans.htm
• Interactive activity using compositions of line reflections http://standards.nctm.org/document/eexamples/chap6/6.4/part4.htm
• Composition of functions & graphs http://www.math.siu.edu/hughes/m108n08.pdf

Exponential & Logarithmic Functions

• Short History of logs http://www.sosmath.com/algebra/logs/log1/log1.html
• Definitions of log and Exponential functions http://www.ma.utexas.edu/cgi-pub/kawasaki/plain/functions/2D.html
• Lesson on logarithms http://www.purplemath.com/modules/logs.htm
• Definitions, graphs and properties of exponential & logarithmic functions http://www.ping.be/math/exp.htm
• How to graph logarithms http://www.purplemath.com/modules/graphlog.htm
• Exponential Functions http://www.sosmath.com/algebra/logs/log4/log4.html
• Review of rules of exponents http://www.sosmath.com/algebra/logs/log3/log3.html
• Properties of Logs http://www.sosmath.com/algebra/logs/log4/log41/log41.html
• Rules of logs http://www.sosmath.com/algebra/logs/log4/log44/log44.html
• Change of bases with logs http://www.sosmath.com/algebra/logs/log4/log43/log43.html
• Solving logarithm equations http://www.purplemath.com/modules/solvelog.htm
• Solving Exponential Equations http://www.sosmath.com/algebra/logs/log4/log46/log46.html
• Word problems & Exponential equations http://www.sosmath.com/algebra/logs/log5/log5.html
• More word problems for exponential & log equations http://www.purplemath.com/modules/expoprob.htm

Regression & Probability

Regression

• Review of line of best fit http://regentsprep.org/Regents/math/data/linefit.htm
• Line of best fit using graphing calculator http://regentsprep.org/Regents/math/data/linefitcalc.htm
• Line of regression http://illuminations.nctm.org/imath/912/LinearRelationships/index.html
• Correlation & regression line http://illuminations.nctm.org/imath/912/LinearRelationships/part3.html
• TI 83 tutorial for cubic regression http://score.kings.k12.ca.us/lessons/ti83tutorial/cubreg.html
• Quadratic, cubic, quartic regressions: Calculator directions http://66.102.11.104/search?q=cache:jjesb3cFSd8J:www.public.asu.edu/~rashev28/doc_files/210p7.doc+cubic+regression&hl=en&ie=UTF-8

Probability

• Review of Math A probability http://www.glencoe.com/sec/math/algebra/algebra1/algebra1_03/study_guide/pdfs/alg1_pssg_G108.pdf
• Two review questions for probability http://regentsprep.org/Regents/core/questions/questions.cfm?Course=MATHB&TopicCode=06
• General Review of Probability http://wblrd.sk.ca/~mathb30cs/prob/review/probrev.pdf
• Review of probability & notations http://campus.murraystate.edu/academic/faculty/kelly.pearson/public_html/117f02/probformula.pdf
• Notes and definition of Bernoulli Trial http://www.cc.gatech.edu/classes/AY2002/cs4251_fall/references/PT.htm
• Binomial expansion http://www.shout.net/~mathman/html/prob9.html
• Binomial expansion examples http://hyperphysics.phy-astr.gsu.edu/hbase/alg3.html
• Binomial expansion & its relation to Bernoulli trials http://www.mhhe.com/biosci/cellmicro/hartwell/binomialexpansion.mhtml
• Binomial expansion and its relation to Pascal’s Triangle http://www.geocities.com/thesciencefiles/pascal/triangle.html
• Notes on Binomial expansion and various examples http://www.haverford.edu/physics-astro/MathAppendices/Binomial_Expansions.pdf
• Binomial example with rational power http://www.ucl.ac.uk/Mathematics/geomath/level2/series/ser85.html
• Chart form of binomial expansion http://www-ec.njit.edu/~grow/STATIS1/sld008.htm

Normal Distribution

• Notes on definition of normal distribution & standard deviation http://www.stoller-eser.com/raddeviation.htm
• Graph, formula & history of normal distribution http://www.symynet.com/educational_software/teaching_resources/Statistics/normal_distribution/intro.htm
• Normal distribution & interactive activity http://playfair.stanford.edu/~naras/jsm/NormalDensity/NormalDensity.html
• Formula sheet with normal distribution curve for Math b Regents V
  http://www.regentsprep.org/Regents/mathb/formulasheetB.htm
• Lesson and examples for normal distribution http://davidmlane.com/hyperstat/normal_distribution.html
• Applet for normal distribution examples http://members.shaw.ca/ron.blond/TLE/Bin.APPLET/EX/
• Finding mean deviation & standard deviation applet V
  http://www.netsoc.tcd.ie/~jgilbert/maths_site/applets/algebra/standard_deviation____explanation_and_calculation_.html
• Using TI 83 to calculate mean & standard deviation http://pasles.org/Ti83.html
• General review of statistics & TI 83 http://plaza.ufl.edu/mhodge/STA2023TI83.htm
• Areas of normal distribution http://cnx.rice.edu/content/m11166/latest/

Trigonometric Functions & Laws

• Math B regents formula sheet given in regents packet http://www.regentsprep.org/Regents/mathb/formulasheetB.htm
• Definitions and formulas http://www.sosmath.com/trig/Trig2/trig2/trig2.html

Angle measures

• Definitions http://www.jcoffman.com/Algebra2/ch13_2.htm
• Degree vs Radian http://www.marlboro.edu/academics/study/mathematics/courses/degree.html
• Quiz on angles
  http://www.glencoe.com/sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-02-825178-4&chapter=13&lesson=2
• Notes on Unit Circle http://en2.wikipedia.org/wiki/Unit_circle
• Radians http://www.staff.vu.edu.au/mcaonline/units/trig/trigraddegrees.html
• Examples http://www.staff.vu.edu.au/mcaonline/units/trig/trigraddegrees.html#Example%20Question:
• Radian & degree measure of angles http://www.hyper-ad.com/tutoring/math/trig/Trigonometric%20Functions%20of%20Common%20Angles.html
• Practice questions http://www.staff.vu.edu.au/mcaonline/units/trig/trigraddegrees.html#Practice%20Questions
• Beyond 90 degrees http://www-istp.gsfc.nasa.gov/stargaze/Strig4.htm
• Unit circle and 90, 180, 270, 360 http://em-ntserver.unl.edu/Math/mathweb/trigonom/trigsB97.html
• Finding all functions of an angle given one http://math.usask.ca/emr/examples/trid_eg1.html
• Periodic functions http://www.horacemann.org/academics/math/pcbch/trig/perfunc.html

Trig Laws

• Law of sine http://hyperphysics.phy-astr.gsu.edu/hbase/lsin.html
• Derivation of law of sine http://en2.wikipedia.org/wiki/Law_of_sines
• Law of sine example & ambiguous cases http://home.alltel.net/okrebs/page93.html
• Applet for law of sine exploration http://www.univie.ac.at/future.media/moe/galerie/trig/trig.html
• Review notes on law of sine http://www.pinkmonkey.com/studyguides/subjects/trig/chap3/t0303301.asp
• More examples of law of sine http://www.mste.uiuc.edu/courses/mat764fa02/folders/brownh/Final%20Project/law_of_sines.html
• Notes on law of cosine http://www.pinkmonkey.com/studyguides/subjects/trig/chap3/t0303201.asp
• Law of cosine & applet to explore http://www.ies.co.jp/math/java/trig/yogen1/yogen1.html
• Law of cosine & variations of its form http://www.ms.uky.edu/~lee/ma502/pythag/cos.htm
• Law of cosine example http://www.edhs.org/dja_lawcos.html
• Using law of cosine to derive sum and difference formulas, double angle formulas for sine and cosine http://www.iwu.edu/~lstout/trig/node3.html
• Vector problems for law of sine & cosine http://www.mathsdirect.co.uk/pure/purtuttribea.htm
• Trig review for finding missing parts of triangles http://home.earthlink.net/~djbach/lawsines.html

Trig Identities

• Review of trig identities http://aleph0.clarku.edu/~djoyce/java/trig/identities.html
• Hints for proving trig identities http://www.acts.tinet.ie/suggestionsforprovingt_668.html
• Quiz on identities http://schools.spsd.sk.ca/mount/hoffman/MathC30/Teacher/Identitiesone.html
• Another quiz on identities http://schools.spsd.sk.ca/mount/hoffman/MathC30/Teacher/identitiesthree.html
• Four questions & solutions of identity problems http://www.mathsdirect.co.uk/pure/purexatriide.htm

Trig graphs

• Experimenting with the sine curve http://www.mathsnet.net/graphs/cutb1.html
• Exploration of sine curve: amplitude & frequency http://jwilson.coe.uga.edu/emt669/Student.Folders/Jeon.Kyungsoon/writeup1/writeup1.html
• Experimenting with the cosine curve http://www.mathsnet.net/graphs/cutb3.html
• Examples of sine & cosine curves http://home.alltel.net/okrebs/page82.html
• Graphing cosine with TI 83 and without! http://www.aquiz.com/Trig/TrigL23/page8.html
• Quiz on amp frequency of sine and cosine http://www.geocities.com/thesciencefiles/trigtrans/trigtranslationsc.html
• Translations of sine & cosine curves http://home.alltel.net/okrebs/page83.html
• How to graph sine and cosine curves http://faculty.ed.umuc.edu/~swalsh/Math%20Articles/Graphing%20Sin%20Cos.html
• Quiz on sine & cosine curves http://curvebank.calstatela.edu/unit/unit.htm
• Explanation of tangent curve http://www.y-maths.co.uk/beyond90t.htm
• Experimenting with the tangent curve http://www.studyworksonline.com/cda/content/applet/0,,NAV2-23_SAP402,00.shtml
• Trig functions & their inverses: see their graphs being created http://mathdemos.mat.gasou.edu/family_of_functions/trig_gallery.html
• Review of the trig functions http://people.hofstra.edu/faculty/Stefan_Waner/trig/trig2.html

Trig equations

• Examples & solutions of trig equations http://www.mathsdirect.co.uk/pure/purexatriequ.htm
• More examples & quiz on solving trig equations http://home.alltel.net/okrebs/page104.html
• Trig equations & solutions http://www.sosmath.com/algebra/solve/solve0/solvtrig.html
• Solving challenging trig equations http://www.mathsdirect.co.uk/pure/purtuttriequ.htm
• More challenging examples & quiz http://home.alltel.net/okrebs/page85.html
• Overall review of trig http://web.pdx.edu/~goehle/frames/examsframes_files/mth112test1rev.pdf

TEXTBOOKS:

New York Math B: Prentice Hall: New Jersey, 2002
http://www.phschool.com/sales_support/new_york/ny_math/index.html

Mathematics B: Amsco: New York, 2002