1A websites
Least common multiple, greatest common divisor
http://www.mathsisfun.com/definitions/least-common-multiple.html
http://www.mathsisfun.com/greatest-common-factor.html
Fractions to add and express as the quotient of two relatively prime integers
http://www.mathsisfun.com/definitions/relatively-prime.html
Decimals, repeating decimals
http://wiki.answers.com/Q/How_do_you_convert_a_repeating_decimal_into_a_fraction
Percentage, interest, and discount
Complex fractions and continued fractions
http://www.wisc-online.com/objects/ViewObject.aspx?ID=TMH5005
http://www.jcu.edu/math/Vignettes/continued.htm
Number bases; change of base
http://www3.wittenberg.edu/bshelburne/Comp150Fa08/NumberSystemsAndBaseConversions.pdf
1B websites
Angles formed by transversals cutting parallel lines
http://www.augustatech.edu/math/molik/typesrelangles.pdf
Complementary, supplementary, and vertical angles
http://www.algebralab.org/lessons/lesson.aspx?file=Geometry_AnglesComplementarySupplementaryVertical.xml
Interior and exterior angles for triangles and polygons
http://www.mathopenref.com/triangleextangle.html
http://www.mathsrevision.net/gcse/pages.php?page=17
Properties of isosceles and equilateral triangles
http://www.purplemathjimloy.com/modules/sqrquadgeometry/iso.htm
http://cnx.org/content/m18217/latest/http://www.mathopenref.com/equilateral.html
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The Theorem of Pythagoras; familiar Pythagorean triples
http://www.mathsisfun.com/pythagoras.html
http://www.tsm-resources.com/alists/trip.html
Relationships in 30°-60°-90° and 45°-45°-90° triangles
http://www.tpubthemathpage.com/math1/17faTrig/30-60-90-triangle.htm
http://www.onlinemathlearning.com/45-45-90-right-triangle.html
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1D websites
Solution of quadratic equations by factoring, by completing the square, by formula
http://www.purplemath.com/modules/sqrquad.htm
http://www.youtube.com/watch?v=xGOQYTo9AKY
Complex roots of quadratic equations; the discriminant and the character of the roots
http://www.regentsprep.org/Regents/mathb/e/quadcomlesson.htm
http://www.mathwords.com/d/discriminant_quadratic.htm
Relations between roots and coefficients
http://www.tutorvista.com/search/relation-of-roots-of-coefficient-of-quadratic-equation
http://cs.jsu.edu/~leathrum/Mathlets/polyroots.html#applettop
Synthetic Division
Function notation
2A websites
Solving numeric equations
(perhaps involving a second degree term which drops out)
Solving literal equations
http://www.purplemath.com/modules/solvelit.htm
http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_FunctionsRelationsLiteralEquations.xml
http://math.whatcom.ctc.edu/downloads/Literal%20Equations.pdf
http://users.bloomfield.edu/department/tutorial/ACF_94/Documents/Class_Notes/LINEAR_EQUATIONS/SOLVE_LIT
ERAL_EQUATIONS.doc
Story problems leading to linear equations in one variable
http://www.cut-the-knot.org/arithmetic/WProblem.shtml
http://www.kwiznet.com/p/takeQuiz.php?ChapterID=10471&CurriculumID=40&Num=1.19
http://www.purplemath.com/modules/ineqgrph.htm
http://www.purplemath.com/modules/syslneq.htm
2B Familiar Geometric Figures, Congruence and Similarity
Medians, angle bisectors, and altitudes
http://www.cliffsnotes.com/WileyCDA/CliffsReviewTopic/Altitudes-Medians-and-Angle-Bisectors.topicArticleId18851,articleId-18787.html
Ceva’s Theorem
http://www.cut-the-knot.org/Generalization/ceva.shtml
Stewart’s Theorem
http://planetmath.org/encyclopedia/StewartsTheorem.html
http://www.youtube.com/watch?v=cRebl8I0lKk (YouTube explanation)
Area of a triangle, including Hero’s Formula
http://www.clarku.edu/~djoyce/trig/area.html
Triangular prisms (including volume and surface area)
http://www.teacherschoice.com.au/Maths_Library/Area%20and%20SA/area_9.htm
http://staff.argyll.epsb.ca/jreed/math9/strand3/3107.htm
Triangular pyramids (including volume and surface area)
http://www.mathsisfun.com/geometry/pyramids.html
http://staff.argyll.epsb.ca/jreed/math9/strand3/3107.htm
2C Trigonometry
Functions of sums of angles and sums of functions of angles
http://www.intmath.com/analytic-trigonometry/2-sum-difference-angles.php
Half and double angle formulas
http://www.youtube.com/watch?v=mP6wujhQ8js
Reduction formulas
http://www.bymath.com/studyguide/tri/sec/tri7.htm
(Not required: formulas for sin A + sin B, etc.)
2D Analytic Geometry of Straight Lines and Circles
http://www.cut-the-knot.org/WhatIs/WhatIsAnalyticGeometry.shtml
Slope, families of parallel, perpendicular, or coincident lines
http://www.algebralab.org/lessons/lesson.aspx?file=geometry_coordparallelperpendicular.xml
Point-slope, slope-intercept, intercept, normal forms of the straight line
http://www.purplemath.com/modules/strtlneq.htm
http://www.purplemath.com/modules/strtlneq2.htm
http://www.mathopenref.com/coordequationps.html
Intersections (solution of simultaneous systems)
http://www.mathsnet.net/dynamic/cindy/exploration_2.html
http://mathworld.wolfram.com/Circle-LineIntersection.html
3A Systems of Linear Equations in Two (or on occasion three) Variables
Numeric and literal systems
http://members.tripod.com/numeric_systems/
http://www.roman-britain.org/numerals.htm
Relation to graphical procedures
Word problems leading to such systems
Systems of inequalities used to define a region in the plane
http://hotmath.com/help/gt/genericalg1/section_5_4.html
http://education.yahoo.com/homework_help/math_help/problem_list?id=minialg1gt_4_1
http://74.125.95.132/search?q=cache:4PSwJUkCBBoJ:www.classjump.com/kingalgbraii/documents/alg2ch3sect3ext.ppt
+Systems+of+inequalities+define+a+region+in+the+plane&cd=10&hl=en&ct=clnk&gl=us
http://www.purplemath.com/modules/determs.htm
http://home.scarlet.be/~ping1339/determ.htm
http://www.youtube.com/watch?v=I9mXoN8HG7M
3B Quadrilaterals and Polygons
Special quadrilaterals and regular polygons (including area formulas)
http://www.mathsisfun.com/quadrilaterals.html
http://www.math.com/school/subject3/lessons/S3U2L3DP.html
http://www.coolmath.com/reference/polygons-04-quadrilaterals.html
http://www.mathsteacher.com.au/year8/ch09_geometry/07_quad/quad.htm
Intersecting diagonals
http://illuminations.nctm.org/ActivityDetail.aspx?ID=148
Ptolemy's Theorem
http://www.mlahanas.de/Greeks/PtolemyMath.htm
http://planetmath.org/encyclopedia/PtolemysTheorem.html
Polygonal prisms and pyramids (including volume and surface area)
http://staff.argyll.epsb.ca/jreed/math9/strand3/3107.htm
3C Trigonometry
http://www.utdallas.edu/dept/abp/PDF_Files/Precalculus_Folder/LawofSinesandCosines.pdf
http://www.youtube.com/watch?v=4JAYejt1FWU
Inverse functions and their graphs
http://www.youtube.com/watch?v=sESSCAkB2Yg
http://www.jamesrahn.com/PreCalculus/inverse_trigonometric_functions.htm
Solving trigonometric equations
http://www.sosmath.com/algebra/solve/solve0/solvtrig.html
http://www.youtube.com/watch?v=IE0FxGegdMg
http://www.mathamazement.com/Lessons/Pre-Calculus/06_Additional-Topics-in-Trigonometry/de-moivrestheorem.html
http://www.youtube.com/watch?v=NrwWv9JHdI4&NR=1&feature=fvwp
3D Exponents and Logarithms
http://www.purplemath.com/modules/exponent5.htm
http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut5_ratexp.htm
http://www.tpub.com/math1/8c.htm
http://www.purplemath.com/modules/exponent2.htm
http://www.themathpage.com/Alg/negative-exponents.htm
Simplifying expressions involving radicals
http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_radical_simplify.xml
http://hotmath.com/help/gt/genericalg1/section_8_1.html
http://www.sosmath.com/algebra/solve/solve0/solve0.html
http://www.uncwil.edu/courses/mat111hb/Izs/asolve/asolve.html
Use of logarithms; identities involving logarithms
http://people.hofstra.edu/Stefan_Waner/Realworld/calctopic1/logs.html
Solving logarithmic equations
http://www.sosmath.com/algebra/logs/log4/log47/log47.html
http://www.purplemath.com/modules/solvelog.htm
http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_LogarithmsSolving.xml
Relationships between logarithms to different bases
http://answers.yahoo.com/question/index?qid=20080507214250AADI9d6
http://oakroadsystems.com/math/loglaws.htm
http://www.answers.com/topic/logarithm
4A Algebraic Manipulation
- y3)
http://www.purplemath.com/modules/specfact2.htm
http://www.youtube.com/watch?v=TEtgW5DZ8KA
http://www.youtube.com/watch?v=-hiGJwMNNsM&feature=related
http://www.youtube.com/watch?v=FZdt73khrxA
http://www.youtube.com/watch?v=hVIol-6vocY&feature=related
quadratic formula (but no complex roots)
http://www.purplemath.com/modules/quadform.htm
http://www.purplemath.com/modules/exponent5.htm
http://www.youtube.com/watch?v=hclSMThq8yE
http://www.purplemath.com/modules/fcnnot.htm
4B Circles
Central, inscribed tangential, and exterior angles
http://www.cut-the-knot.org/Curriculum/Geometry/InscribedAngle.shtml
http://www.mathwarehouse.com/geometry/circle/inscribed-angle.html
http://mathworld.wolfram.com/InscribedAngle.html
http://www.clarku.edu/~djoyce/trig/tangents.html
http://www.mathsisfun.com/geometry/exterior-angles.html
Power of a point (chords, secants, tangents)
http://www.mathwarehouse.com/geometry/circle/
this is a good site!!
of two circles
http://wapedia.mobi/en/Tangent_lines_to_circles
Intercepted arcs
http://www.mathopenref.com/arcintercepted.html
Area of circles, sectors, circular segments
http://www.mathwords.com/a/area_sector_circle.htm
http://www.mathopenref.com/segmentarea.html
Cylinders, cones & spheres (including volume and surface area)
http://staff.argyll.epsb.ca/jreed/math9/strand3/3107.htm
4C Miscellaneous Topics
http://www.regentsprep.org/Regents/math/algtrig/ATP3/Recursive.htm
http://www.youtube.com/watch?v=DB316v0VgMM
: partial sums, formulas for 1+2+...n, 12+22+...n2, 13+23+...n3
http://www.physicsforums.com/showthread.php?t=428962
Binomial Theorem
http://math.about.com/library/blfactorials.htm
http://www.purplemath.com/modules/binomial.htm
http://www.youtube.com/watch?v=1pSD8cYyqUo
4D Analytic Geometry of the Conic Sections
http://hotmath.com/hotmath_help/topics/conic-sections-and-standard-forms-of-equations.html
http://people.richland.edu/james/lecture/m116/conics/conics.html
http://hotmath.com/help/gt/genericalg2/section_12_7.html
http://www.youtube.com/watch?v=hUNGyuzKvUg
http://www.glynn.k12.ga.us/~katiea/teacherwebpgs/bradfordconic.html
-min for parabolas
http://www.youtube.com/watch?v=CYIM7IqEc6g
http://www.youtube.com/watch?v=sjpOvG7icG4&feature=related
5A Puzzle Problems (20 minutes)
-min problems not requiring calculus
-teaser" type books
5B Congruence and Similarity
Ratio and proportion
http://www.mathleague.com/help/ratio/ratio.htm
Segments intercepted by parallel lines
http://www.mathwarehouse.com/geometry/similar/triangles/side-splitter-theorem.php
Identification of similar/congruent figures
http://www.mathleague.com/help/geometry/coordinates.htm
Ratios of areas and volumes
http://www.icoachmath.com/(S(dlcm0br1hlulik450avidi55))/solvedexample/Areas-and-Volumes-of-SimilarSolidsGeometry-and-Spatial-Sense---Measurement-of-Solids_cstlqvXJKXAXKDGMXGKDKF.html
Elementary trigonometric ratios
http://www.algebralab.org/lessons/lesson.aspx?file=trigonometry_trigsincostan.xml
5C Counting and Probability
http://www.mathsisfun.com/combinatorics/combinations-permutations.html
http://www.youtube.com/watch?v=M8rfdM5Qk0g
5D Variations of Problems appearing on the previous year’s AMC 12 (contest A)
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