Welcome to the Pre-Calculus Math 12 help page
Look below for the content area or chapter you need.
DESMOS
https://www.desmos.com/calculator
General Math help site
https://www.youtube.com/user/mathjohnson/featured
Other resources:
very helpful blogs
http://www.carlisleschools.org/webpages/wolfer/applied.cfm?subpage=1323957
http://donsteward.blogspot.co.uk/
Online graphing calculator
https://wabbit.codeplex.com/
Graphing calculator app:
For iPhone: https://itunes.apple.com/ca/app/graphing-calculator-by-desmos/id653517540?mt=8
For iPad: https://itunes.apple.com/ca/app/graphing-calculator-by-desmos/id653517540?mt=8
math apps
http://mathxtc.com/MacMaths/iPadMaths/iPadMaths.html
Great site for most of grade 12 pc math -
http://tutorial.math.lamar.edu/Extras/AlgebraTrigReview/AlgebraTrigIntro.aspx
math 12 - problem site
http://mathforum.org/pcmi/hstp/sum2007/morning/
graph paper
graph_paper.pdf
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conics
(many thanks to Mark Vuorela for his wonderful notes)
formula sheet
00_-_formulasheet.pdf
completing the square
01_-_notes_-_completing_the_square.pdf
ellipse
03_-_notes_-_ellipse.pdf
parabola
02_-_notes_-_parabolas.pdf
hyperbola
04_-_notes_-_hyperbola.pdf
pretest answers
06_-_conics_pretest_answers.pdf
Chapter 1: Polynomial Expressions and Functions
Class notes:
pc12_ch1.pdf
dividing a polynomial by a binomial
http://www.youtube.com/watch?v=pL_kLWg_yTE
missing terms
http://www.youtube.com/watch?v=2SJPMgjN-6I
synthetic division
http://www.purplemath.com/modules/synthdiv.htm
http://www.youtube.com/watch?v=_Y0fRbh1RY8
remainder theorem
http://www.purplemath.com/modules/remaindr.htm
http://www.youtube.com/watch?v=KTvQXspWhbM
factor theorem
http://www.purplemath.com/modules/factrthm.htm
http://www.youtube.com/watch?v=WyPXqe-KEm4
factoring:
degree of 3:
http://www.sosmath.com/algebra/factor/fac02/fac02.html
http://www.sparknotes.com/math/algebra2/factoring/section2.rhtml
http://www.youtube.com/watch?v=mXdAiJY7YfY
Degree of 4:
http://www.sparknotes.com/math/algebra2/factoring/section3.rhtml
http://www.purplemath.com/modules/solvpoly.htm
http://www.youtube.com/watch?v=fTHgSO8PwWE
http://tutorial.math.lamar.edu/Classes/Alg/Factoring.aspx
Degree of 5:
http://oakroadsystems.com/math/polysol.htm
Pretest answer key
polynomial_pretest_-_key.pdf
Chapter 2: Radical and Rational functions
Class notes:
ma12pc_ch2_notes.pdf
radical functions:graphing
http://www.purplemath.com/modules/graphrad.htm
http://www.khanacademy.org/math/algebra/algebra-functions/v/graphing-radical-functions
rational functions:graphing
http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/asymptotes-of-rational-functions
http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/simplifying-rational-expressions-introduction
http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/another-rational-function-graph-example
vertical asymptotes
http://www.youtube.com/watch?v=_qEOZNPce60
http://www.youtube.com/watch?v=6_TPkvW5lz4
horizontal asymptotes
http://www.youtube.com/watch?v=c-yK2hUnSB0
both vertical and horizontal
http://www.youtube.com/watch?v=1zQHg6uvQUU
oblique asymptotes
http://www.youtube.com/watch?v=URoPcn0fIAg
http://www.youtube.com/watch?v=GX-YdOykky4
http://www.youtube.com/watch?v=dnYjYfx02yc
sketching the graph
http://www.youtube.com/watch?v=qrIZIT6Wn3E
Chapter 3: Linear and Quadratic Translations including reflections and inverse
Class notes:
math12pc_chapter_3_notes.pdf
lesson:
http://www.purplemath.com/modules/fcntrans.htm
http://library.thinkquest.org/20991/alg2/quad2.html
http://www.dummies.com/how-to/content/how-to-translate-a-functions-graph.html
horizontal translations:
http://www.youtube.com/watch?v=IzApRT9qtpU
vertical translations:
http://www.youtube.com/watch?v=4ociHOYjrlM&feature=relmfu
examples:
http://staff.argyll.epsb.ca/jreed/math30p/transformations/translations.htm
horizontal and vertical stretching
Lessons:
http://www.sparknotes.com/math/trigonometry/graphs/section4.rhtml
Videos:
http://www.onlinemathlearning.com/horizontal-vertical-stretch.html
http://www.youtube.com/watch?v=_0ITqLyU0Gg&feature=relmfu
http://www.youtube.com/watch?v=geElMv3F_4A&feature=relmfu
reflections of a function
http://www.themathpage.com/aprecalc/reflections.htm
http://www.regentsprep.org/Regents/math/algtrig/ATP9/funclesson1.htm
http://www.sparknotes.com/math/algebra2/operationsonfunctions/section3.rhtml
video on reflections:
http://www.youtube.com/watch?v=yo2gG5TcbME
inverse relations
lesson:
http://www.purplemath.com/modules/invrsfcn3.htm
http://www.mathsisfun.com/sets/function-inverse.html
inverse by graphing:
http://www.youtube.com/watch?v=rM3fEdnAlpA
linear
by algebra:
http://www.mathwarehouse.com/algebra/relation/inverse-of-function.php
by graphing:
http://www.khanacademy.org/math/algebra/algebra-functions/v/function-inverse-example-1
quadratic
by algebra::
http://www.analyzemath.com/inversefunction/inverse_quadratic.html
Chapter 4: RELATIONS AND FUNCTIONS - combining functions and composite functions
Class notes:
pc12_ch4.pdf
ADDING , SUBTRACTING, MULTIPLYING AND DIVIDING:
http://www.glencoe.com/sites/common_assets/mathematics/precalc_2011/html/pccrmc01_sgi_32_33/pccrmc01_sgi_32_33.html
combining functions graphically:
http://vhcc2.vhcc.edu/pc1fall9/lectures/pc_981117_981203/pc1_1201/class_notes.htm
http://www.youtube.com/watch?v=5NlUyUdLbNE
combining functions algebraically:
http://www.youtube.com/watch?v=14kmj-xA-1w
http://tutorial.math.lamar.edu/Classes/Alg/CombineFunctions.aspx
determining restrictions on composite functions:
http://www.dpcdsb.org/NR/rdonlyres/0436904B-E4B3-4B0C-8E78-BBF5497B9229/30719/63BCombiningFunctions.pdf
F(G(X)...ETC COMPOSITE FUNTIONS
https://www.khanacademy.org/math/algebra2/functions_and_graphs/composing-functions/v/function-composition
http://education-portal.com/academy/lesson/how-to-evaluate-composite-functions.html#lesson
http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_FunctionsRelationsComposition.xml
GRAPHICALLY
http://www.youtube.com/watch?v=b-i7N0hE-Ys
Restrictions on composite functions ( domain and range)
https://www.youtube.com/watch?v=5gAtdg5QgcE
https://www.youtube.com/watch?v=1RFwSXXVDKk
https://www.youtube.com/watch?v=6je5ra3CbLs
Chapter 5: Exponential functions and logarithms; graphing and transformations
class notes:
ch_5_notes_ma12pc.pdf
Exponential Functions and graphing and transformations:
https://www.youtube.com/watch?v=C5jnasB2x5Y
Review of Exponent laws:
ch4_gr10.pdf
https://www.youtube.com/watch?v=g4bKGsC2IoY
https://www.khanacademy.org/math/in-eighth-grade-math/exponents-powers-1/laws-exponents/v/exponent-rules-part-1
Transforming a log into an exponential equation or exponential equation into a log:
https://www.khanacademy.org/math/algebra2/exponential-and-logarithmic-functions/introduction-to-logarithms/v/exponential-to-logarithmic-form
Graphing a log using an exponential equation:
https://www.khanacademy.org/math/algebra2/exponential-and-logarithmic-functions/introduction-to-logarithms/v/plotting-exponential-logarithm
https://www.khanacademy.org/math/algebra2/exponential-and-logarithmic-functions/graphs-of-logarithmic-functions/v/graphing-logarithmic-functions
What are logs?
http://youtu.be/zzu2POfYv0Y
http://betterexplained.com/articles/demystifying-the-natural-logarithm-ln/
http://www.math.ucdenver.edu/~jloats/Student%20pdfs/24_Logarithms_SIMS.pdf
intro to logs:
http://www.mathsisfun.com/algebra/logarithms.html
http://www.purplemath.com/modules/logs.htm
video:
http://www.youtube.com/watch?v=mQTWzLpCcW0
http://www.youtube.com/watch?v=djR8DkQ_UU0
http://www.khanacademy.org/math/algebra/logarithms/v/introduction-to-logarithm-properties
product law and quotient law
http://www.mathwarehouse.com/logarithm/rules-and-formula.php
video:
http://www.onlinemathlearning.com/logarithms-quotient-rule.html
Product law video:
http://www.youtube.com/watch?v=O6XjNej6c-0
http://www.khanacademy.org/math/algebra/logarithms/v/proof--log-a---log-b---log-ab
Quotient Law:
http://www.khanacademy.org/math/algebra/logarithms/v/proof--a-log-b----log--b-a---log-a---log-b---log--a-b
power law
http://scc.scdsb.edu.on.ca/Students/onlinecourses/Sacchetto/AFIC%20web%20page/AFIC%20textbook/AFIC%20text%20pages/Ch%202/121.pdf
http://mathsisinteresting.blogspot.ca/2009/05/power-law-of-logarithm-explained.html
exponential growth
http://youtu.be/AmFMJC45f1Q
exponential and logarithmic functions
http://library.thinkquest.org/20991/alg2/log.html
http://www.math.mcmaster.ca/lovric/rm/rmchapter7.pdf
http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/another-rational-function-graph-example
logs combinded laws
http://www.youtube.com/watch?v=fO06womr41k
logs and exponents:
https://www.youtube.com/watch?v=N-7tcTIrers
Chapter 6: Radian measure, length of an arc, the unit circle and reciprocal Trigonometric functions and their graphs
class notes:
pc12_ch6.pdf
angles in standard postition:
http://www.regentsprep.org/Regents/math/algtrig/ATT3/referenceAngles.htm
http://www.youtube.com/watch?v=4BUePvcd450
How to find exact values without memorizing
radians
http://www.mathsisfun.com/geometry/radians.html
http://math.rice.edu/~pcmi/sphere/drg_txt.html
radians to degrees
( randian x 180 then divide by pi)
http://www.youtube.com/watch?v=SLXEfME6kz4&feature=relmfu
degrees to radians
(degrees x pi then divide by 180)
http://www.youtube.com/watch?v=e9-5LNzYXvA&feature=relmfu
unit circle
http://www.mathsisfun.com/geometry/unit-circle.html
http://www.khanacademy.org/math/trigonometry/e/unit_circle
trigonometric ratios for angles - in degrees and radians
chart:
http://library.thinkquest.org/20991/alg2/trig.html
http://www.coolmath.com/precalculus-review-calculus-intro/precalculus-trigonometry/28-the-unit-circle-03.htm
Six trigonometric functions for:
6 trig functions: sin cos tan cot csc sec
http://www.khanacademy.org/math/trigonometry/v/example--the-six-trig-ratios
cool sin wave video
http://www.youtube.com/watch?v=uENITui5_jU
music and the sine wave - the ruben's tube
http://www.youtube.com/watch?v=HpovwbPGEoo
http://www.youtube.com/watch?v=ynqzeIYA7Iw
overview of writing equation
http://www.youtube.com/watch?v=-DzQ1aJKA0Y
Sine
http://www.purplemath.com/modules/triggrph.htm
http://www.khanacademy.org/math/trigonometry/v/graph-of-the-sine-function
Cosine
http://www.purplemath.com/modules/triggrph.htm
http://www.khanacademy.org/math/trigonometry/v/graphs-of-trig-functions
Tangent
http://www.purplemath.com/modules/triggrph2.htm
http://www.khanacademy.org/math/trigonometry/v/graphs-of-trig-functions
the co-functions: csc, sec cot
http://www.purplemath.com/modules/triggrph3.htm
Chapter 7: Trigonometric Identities: solving by algebra
Class notes:
ma12pc_ch7.pdf
trig identities - a chart
http://www.sosmath.com/trig/Trig5/trig5/trig5.html
http://www.purplemath.com/modules/idents.htm
http://www.khanacademy.org/math/trigonometry/v/trigonometric-identities
solve trigonometric equations by graphing
http://mathbits.com/MathBits/TIsection/trig/trigequations.htm
http://www.intmath.com/analytic-trigonometry/5-trigonometric-equations.php
solve trigonometric equations by algebra
http://tutorial.math.lamar.edu/Extras/AlgebraTrigReview/AlgebraTrigIntro.aspx
http://www.purplemath.com/modules/solvtrig.htm
http://www.intmath.com/analytic-trigonometry/5-trigonometric-equations.php
writing sinosodial equations:
http://youtu.be/8rBSRePYX-g
worksheets from class:
http://campuses.fortbendisd.com/campuses/documents/teacher/2011%5Cteacher_20111024_1350.pdf
http://worksheets.tutorvista.com/graphs-of-sine-and-cosine-sinusoids-worksheet.html
math and crime...... math really is relevant...
http://en.wikipedia.org/wiki/Bloodstain_pattern_analysis
games:
https://jeopardylabs.com/play/trigonometry-jeopardy-game
Chapter 8: PERMUTATIONS AND COMBINATIONS; Fundimental counting principal , Binomial Theorem and Pascal's triangle
Class notes:
pc12_ch8.pdf
fundimental counting principle
http://www.basic-mathematics.com/fundamental-counting-principle.html
http://www.mathsisfun.com/data/basic-counting-principle.html
permutations:
https://www.youtube.com/watch?v=1stIqr0FGiE
https://www.khanacademy.org/math/precalculus/prob-comb/combinatorics-precalc/v/permutation-formula
http://www.mathsisfun.com/combinatorics/combinations-permutations.html
combinations :
https://www.youtube.com/watch?v=PSS3mCS_Ef8
https://www.khanacademy.org/math/precalculus/prob-comb/combinations/v/introduction-to-combinations
http://www.mathsisfun.com/combinatorics/combinations-permutations.html
binomial theorem
http://www.purplemath.com/modules/binomial.htm
http://www.khanacademy.org/math/precalculus/v/binomial-theorem--part-1
https://www.youtube.com/watch?v=FUNCM9XmwCk
pascal's triangle
VIDEOS SHOWN IN CLASS
https://www.youtube.com/watch?v=XMriWTvPXHI&feature=youtu.be
https://www.youtube.com/watch?v=YUqHdxxdbyM
https://www.youtube.com/watch?v=ZyZD6yEbR_I
http://www.youtube.com/watch?v=Gi5ia3SItsk
http://www.youtube.com/watch?v=yC3crXesUnk
monty hall problem
https://www.youtube.com/watch?v=mhlc7peGlGg
https://www.youtube.com/watch?v=4Lb-6rxZxx0
https://www.desmos.com/calculator
General Math help site
https://www.youtube.com/user/mathjohnson/featured
Other resources:
very helpful blogs
http://www.carlisleschools.org/webpages/wolfer/applied.cfm?subpage=1323957
http://donsteward.blogspot.co.uk/
Online graphing calculator
https://wabbit.codeplex.com/
Graphing calculator app:
For iPhone: https://itunes.apple.com/ca/app/graphing-calculator-by-desmos/id653517540?mt=8
For iPad: https://itunes.apple.com/ca/app/graphing-calculator-by-desmos/id653517540?mt=8
math apps
http://mathxtc.com/MacMaths/iPadMaths/iPadMaths.html
Great site for most of grade 12 pc math -
http://tutorial.math.lamar.edu/Extras/AlgebraTrigReview/AlgebraTrigIntro.aspx
math 12 - problem site
http://mathforum.org/pcmi/hstp/sum2007/morning/
graph paper
graph_paper.pdf
---------------------------------------------------------------―--------------------------------------------------------------------------------------------------------------------------------------------------
conics
(many thanks to Mark Vuorela for his wonderful notes)
formula sheet
00_-_formulasheet.pdf
completing the square
01_-_notes_-_completing_the_square.pdf
ellipse
03_-_notes_-_ellipse.pdf
parabola
02_-_notes_-_parabolas.pdf
hyperbola
04_-_notes_-_hyperbola.pdf
pretest answers
06_-_conics_pretest_answers.pdf
Chapter 1: Polynomial Expressions and Functions
Class notes:
pc12_ch1.pdf
dividing a polynomial by a binomial
http://www.youtube.com/watch?v=pL_kLWg_yTE
missing terms
http://www.youtube.com/watch?v=2SJPMgjN-6I
synthetic division
http://www.purplemath.com/modules/synthdiv.htm
http://www.youtube.com/watch?v=_Y0fRbh1RY8
remainder theorem
http://www.purplemath.com/modules/remaindr.htm
http://www.youtube.com/watch?v=KTvQXspWhbM
factor theorem
http://www.purplemath.com/modules/factrthm.htm
http://www.youtube.com/watch?v=WyPXqe-KEm4
factoring:
degree of 3:
http://www.sosmath.com/algebra/factor/fac02/fac02.html
http://www.sparknotes.com/math/algebra2/factoring/section2.rhtml
http://www.youtube.com/watch?v=mXdAiJY7YfY
Degree of 4:
http://www.sparknotes.com/math/algebra2/factoring/section3.rhtml
http://www.purplemath.com/modules/solvpoly.htm
http://www.youtube.com/watch?v=fTHgSO8PwWE
http://tutorial.math.lamar.edu/Classes/Alg/Factoring.aspx
Degree of 5:
http://oakroadsystems.com/math/polysol.htm
Pretest answer key
polynomial_pretest_-_key.pdf
Chapter 2: Radical and Rational functions
Class notes:
ma12pc_ch2_notes.pdf
radical functions:graphing
http://www.purplemath.com/modules/graphrad.htm
http://www.khanacademy.org/math/algebra/algebra-functions/v/graphing-radical-functions
rational functions:graphing
http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/asymptotes-of-rational-functions
http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/simplifying-rational-expressions-introduction
http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/another-rational-function-graph-example
vertical asymptotes
http://www.youtube.com/watch?v=_qEOZNPce60
http://www.youtube.com/watch?v=6_TPkvW5lz4
horizontal asymptotes
http://www.youtube.com/watch?v=c-yK2hUnSB0
both vertical and horizontal
http://www.youtube.com/watch?v=1zQHg6uvQUU
oblique asymptotes
http://www.youtube.com/watch?v=URoPcn0fIAg
http://www.youtube.com/watch?v=GX-YdOykky4
http://www.youtube.com/watch?v=dnYjYfx02yc
sketching the graph
http://www.youtube.com/watch?v=qrIZIT6Wn3E
Chapter 3: Linear and Quadratic Translations including reflections and inverse
Class notes:
math12pc_chapter_3_notes.pdf
lesson:
http://www.purplemath.com/modules/fcntrans.htm
http://library.thinkquest.org/20991/alg2/quad2.html
http://www.dummies.com/how-to/content/how-to-translate-a-functions-graph.html
horizontal translations:
http://www.youtube.com/watch?v=IzApRT9qtpU
vertical translations:
http://www.youtube.com/watch?v=4ociHOYjrlM&feature=relmfu
examples:
http://staff.argyll.epsb.ca/jreed/math30p/transformations/translations.htm
horizontal and vertical stretching
Lessons:
http://www.sparknotes.com/math/trigonometry/graphs/section4.rhtml
Videos:
http://www.onlinemathlearning.com/horizontal-vertical-stretch.html
http://www.youtube.com/watch?v=_0ITqLyU0Gg&feature=relmfu
http://www.youtube.com/watch?v=geElMv3F_4A&feature=relmfu
reflections of a function
http://www.themathpage.com/aprecalc/reflections.htm
http://www.regentsprep.org/Regents/math/algtrig/ATP9/funclesson1.htm
http://www.sparknotes.com/math/algebra2/operationsonfunctions/section3.rhtml
video on reflections:
http://www.youtube.com/watch?v=yo2gG5TcbME
inverse relations
lesson:
http://www.purplemath.com/modules/invrsfcn3.htm
http://www.mathsisfun.com/sets/function-inverse.html
inverse by graphing:
http://www.youtube.com/watch?v=rM3fEdnAlpA
linear
by algebra:
http://www.mathwarehouse.com/algebra/relation/inverse-of-function.php
by graphing:
http://www.khanacademy.org/math/algebra/algebra-functions/v/function-inverse-example-1
quadratic
by algebra::
http://www.analyzemath.com/inversefunction/inverse_quadratic.html
Chapter 4: RELATIONS AND FUNCTIONS - combining functions and composite functions
Class notes:
pc12_ch4.pdf
ADDING , SUBTRACTING, MULTIPLYING AND DIVIDING:
http://www.glencoe.com/sites/common_assets/mathematics/precalc_2011/html/pccrmc01_sgi_32_33/pccrmc01_sgi_32_33.html
combining functions graphically:
http://vhcc2.vhcc.edu/pc1fall9/lectures/pc_981117_981203/pc1_1201/class_notes.htm
http://www.youtube.com/watch?v=5NlUyUdLbNE
combining functions algebraically:
http://www.youtube.com/watch?v=14kmj-xA-1w
http://tutorial.math.lamar.edu/Classes/Alg/CombineFunctions.aspx
determining restrictions on composite functions:
http://www.dpcdsb.org/NR/rdonlyres/0436904B-E4B3-4B0C-8E78-BBF5497B9229/30719/63BCombiningFunctions.pdf
F(G(X)...ETC COMPOSITE FUNTIONS
https://www.khanacademy.org/math/algebra2/functions_and_graphs/composing-functions/v/function-composition
http://education-portal.com/academy/lesson/how-to-evaluate-composite-functions.html#lesson
http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_FunctionsRelationsComposition.xml
GRAPHICALLY
http://www.youtube.com/watch?v=b-i7N0hE-Ys
Restrictions on composite functions ( domain and range)
https://www.youtube.com/watch?v=5gAtdg5QgcE
https://www.youtube.com/watch?v=1RFwSXXVDKk
https://www.youtube.com/watch?v=6je5ra3CbLs
Chapter 5: Exponential functions and logarithms; graphing and transformations
class notes:
ch_5_notes_ma12pc.pdf
Exponential Functions and graphing and transformations:
https://www.youtube.com/watch?v=C5jnasB2x5Y
Review of Exponent laws:
ch4_gr10.pdf
https://www.youtube.com/watch?v=g4bKGsC2IoY
https://www.khanacademy.org/math/in-eighth-grade-math/exponents-powers-1/laws-exponents/v/exponent-rules-part-1
Transforming a log into an exponential equation or exponential equation into a log:
https://www.khanacademy.org/math/algebra2/exponential-and-logarithmic-functions/introduction-to-logarithms/v/exponential-to-logarithmic-form
Graphing a log using an exponential equation:
https://www.khanacademy.org/math/algebra2/exponential-and-logarithmic-functions/introduction-to-logarithms/v/plotting-exponential-logarithm
https://www.khanacademy.org/math/algebra2/exponential-and-logarithmic-functions/graphs-of-logarithmic-functions/v/graphing-logarithmic-functions
What are logs?
http://youtu.be/zzu2POfYv0Y
http://betterexplained.com/articles/demystifying-the-natural-logarithm-ln/
http://www.math.ucdenver.edu/~jloats/Student%20pdfs/24_Logarithms_SIMS.pdf
intro to logs:
http://www.mathsisfun.com/algebra/logarithms.html
http://www.purplemath.com/modules/logs.htm
video:
http://www.youtube.com/watch?v=mQTWzLpCcW0
http://www.youtube.com/watch?v=djR8DkQ_UU0
http://www.khanacademy.org/math/algebra/logarithms/v/introduction-to-logarithm-properties
product law and quotient law
http://www.mathwarehouse.com/logarithm/rules-and-formula.php
video:
http://www.onlinemathlearning.com/logarithms-quotient-rule.html
Product law video:
http://www.youtube.com/watch?v=O6XjNej6c-0
http://www.khanacademy.org/math/algebra/logarithms/v/proof--log-a---log-b---log-ab
Quotient Law:
http://www.khanacademy.org/math/algebra/logarithms/v/proof--a-log-b----log--b-a---log-a---log-b---log--a-b
power law
http://scc.scdsb.edu.on.ca/Students/onlinecourses/Sacchetto/AFIC%20web%20page/AFIC%20textbook/AFIC%20text%20pages/Ch%202/121.pdf
http://mathsisinteresting.blogspot.ca/2009/05/power-law-of-logarithm-explained.html
exponential growth
http://youtu.be/AmFMJC45f1Q
exponential and logarithmic functions
http://library.thinkquest.org/20991/alg2/log.html
http://www.math.mcmaster.ca/lovric/rm/rmchapter7.pdf
http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/another-rational-function-graph-example
logs combinded laws
http://www.youtube.com/watch?v=fO06womr41k
logs and exponents:
https://www.youtube.com/watch?v=N-7tcTIrers
Chapter 6: Radian measure, length of an arc, the unit circle and reciprocal Trigonometric functions and their graphs
class notes:
pc12_ch6.pdf
angles in standard postition:
http://www.regentsprep.org/Regents/math/algtrig/ATT3/referenceAngles.htm
http://www.youtube.com/watch?v=4BUePvcd450
How to find exact values without memorizing
radians
http://www.mathsisfun.com/geometry/radians.html
http://math.rice.edu/~pcmi/sphere/drg_txt.html
radians to degrees
( randian x 180 then divide by pi)
http://www.youtube.com/watch?v=SLXEfME6kz4&feature=relmfu
degrees to radians
(degrees x pi then divide by 180)
http://www.youtube.com/watch?v=e9-5LNzYXvA&feature=relmfu
unit circle
http://www.mathsisfun.com/geometry/unit-circle.html
http://www.khanacademy.org/math/trigonometry/e/unit_circle
trigonometric ratios for angles - in degrees and radians
chart:
http://library.thinkquest.org/20991/alg2/trig.html
http://www.coolmath.com/precalculus-review-calculus-intro/precalculus-trigonometry/28-the-unit-circle-03.htm
Six trigonometric functions for:
6 trig functions: sin cos tan cot csc sec
http://www.khanacademy.org/math/trigonometry/v/example--the-six-trig-ratios
cool sin wave video
http://www.youtube.com/watch?v=uENITui5_jU
music and the sine wave - the ruben's tube
http://www.youtube.com/watch?v=HpovwbPGEoo
http://www.youtube.com/watch?v=ynqzeIYA7Iw
overview of writing equation
http://www.youtube.com/watch?v=-DzQ1aJKA0Y
Sine
http://www.purplemath.com/modules/triggrph.htm
http://www.khanacademy.org/math/trigonometry/v/graph-of-the-sine-function
Cosine
http://www.purplemath.com/modules/triggrph.htm
http://www.khanacademy.org/math/trigonometry/v/graphs-of-trig-functions
Tangent
http://www.purplemath.com/modules/triggrph2.htm
http://www.khanacademy.org/math/trigonometry/v/graphs-of-trig-functions
the co-functions: csc, sec cot
http://www.purplemath.com/modules/triggrph3.htm
Chapter 7: Trigonometric Identities: solving by algebra
Class notes:
ma12pc_ch7.pdf
trig identities - a chart
http://www.sosmath.com/trig/Trig5/trig5/trig5.html
http://www.purplemath.com/modules/idents.htm
http://www.khanacademy.org/math/trigonometry/v/trigonometric-identities
solve trigonometric equations by graphing
http://mathbits.com/MathBits/TIsection/trig/trigequations.htm
http://www.intmath.com/analytic-trigonometry/5-trigonometric-equations.php
solve trigonometric equations by algebra
http://tutorial.math.lamar.edu/Extras/AlgebraTrigReview/AlgebraTrigIntro.aspx
http://www.purplemath.com/modules/solvtrig.htm
http://www.intmath.com/analytic-trigonometry/5-trigonometric-equations.php
writing sinosodial equations:
http://youtu.be/8rBSRePYX-g
worksheets from class:
http://campuses.fortbendisd.com/campuses/documents/teacher/2011%5Cteacher_20111024_1350.pdf
http://worksheets.tutorvista.com/graphs-of-sine-and-cosine-sinusoids-worksheet.html
math and crime...... math really is relevant...
http://en.wikipedia.org/wiki/Bloodstain_pattern_analysis
games:
https://jeopardylabs.com/play/trigonometry-jeopardy-game
Chapter 8: PERMUTATIONS AND COMBINATIONS; Fundimental counting principal , Binomial Theorem and Pascal's triangle
Class notes:
pc12_ch8.pdf
fundimental counting principle
http://www.basic-mathematics.com/fundamental-counting-principle.html
http://www.mathsisfun.com/data/basic-counting-principle.html
permutations:
https://www.youtube.com/watch?v=1stIqr0FGiE
https://www.khanacademy.org/math/precalculus/prob-comb/combinatorics-precalc/v/permutation-formula
http://www.mathsisfun.com/combinatorics/combinations-permutations.html
combinations :
https://www.youtube.com/watch?v=PSS3mCS_Ef8
https://www.khanacademy.org/math/precalculus/prob-comb/combinations/v/introduction-to-combinations
http://www.mathsisfun.com/combinatorics/combinations-permutations.html
binomial theorem
http://www.purplemath.com/modules/binomial.htm
http://www.khanacademy.org/math/precalculus/v/binomial-theorem--part-1
https://www.youtube.com/watch?v=FUNCM9XmwCk
pascal's triangle
VIDEOS SHOWN IN CLASS
https://www.youtube.com/watch?v=XMriWTvPXHI&feature=youtu.be
https://www.youtube.com/watch?v=YUqHdxxdbyM
https://www.youtube.com/watch?v=ZyZD6yEbR_I
http://www.youtube.com/watch?v=Gi5ia3SItsk
http://www.youtube.com/watch?v=yC3crXesUnk
monty hall problem
https://www.youtube.com/watch?v=mhlc7peGlGg
https://www.youtube.com/watch?v=4Lb-6rxZxx0