Welcome to the Pre-Calculus 11 math help site
look below for your chapter or subject area
General help site
https://www.youtube.com/user/mathjohnson/featured
TOOLS
https://www.desmos.com/calculator
CHAPTER 2: OPERATIONS WITH RADICALS AND ABSOLUTE VALUE
Class notes:
pc11_ch2.pdf
Simpifying radicals:
http://www.themathpage.com/alg/simplify-radicals.htm
http://www.youtube.com/watch?v=ucnKcrg5TrQ
Multiplying radicals:
https://www.youtube.com/watch?v=0Wh5mNGEmBE
http://www.themathpage.com/alg/multiply-radicals.htm
Dividing Radicals:
http://www.youtube.com/watch?v=N8MkTuLlgOg
http://www2.pilotmath.com/assets/conceptcapsule/multiplying_and_dividing_radicals/player.html
Adding and Subtracting Radicals:
https://www.youtube.com/watch?v=DjUAL43NYos
http://www.intmath.com/exponents-radicals/4-addition-subtraction-radicals.php
http://www.khanacademy.org/exercise/adding_and_subtracting_radicals
Simplifying by rationalizing the denomenator:
http://www.mathsisfun.com/algebra/rationalize-denominator.html
http://www.math.unt.edu/mathlab/emathlab/how%20to%20rationalize%20the%20denominator%20of%20a%20fraction.htm
http://www.youtube.com/watch?v=i4F8x_6PHpY
Absolute value equations:
http://www.purplemath.com/modules/absolute.htm
http://www.purplemath.com/modules/solveabs.htm
http://www.mathsisfun.com/numbers/absolute-value.html
radical equations:
http://www.purplemath.com/modules/solverad.htm
http://www.purplemath.com/modules/solverad2.htm
http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_radical_solving.xml
Graphing absolute value equations:
http://www.purplemath.com/modules/graphabs.htm
http://www.youtube.com/watch?v=N2wJumFZYxo
Graphing radical equations:
http://www.purplemath.com/modules/graphrad.htm
http://www.regentsprep.org/Regents/math/algtrig/ATE10/radlesson.htm
http://www.onlinemathlearning.com/graph-radical-equations.html
CHAPTER 3: GRAPHING QUADRATIC EQUATIONS- QUADRATIC FORMULA, FACTORING AND COMPLETING THE SQUARE
Class notes:
ma11pc_ch3.pdf
pc11_ch3__1_.pdf
The Quadratic Formula:
http://www.purplemath.com/modules/quadform.htm
http://www.teacherschoice.com.au/maths_library/algebra/alg_6.htm
Graphing using the roots:
http://www.algebralab.org/lessons/lesson.aspx?file=algebra_quad_graphing.xml
http://www.valleyview.k12.oh.us/vvhs/dept/math/quadshelp.html
factoring rap
http://www.youtube.com/watch?v=OFSrINhfNsQ
The Quadratic Formula:
quadratic rap
http://www.npr.org/2013/01/08/167471106/2-pi-rhymes-and-radii
quadratic formula help sites:
http://www.purplemath.com/modules/quadform.htm
factoring -
https://www.youtube.com/watch?v=AMEau9OE6Bs
https://www.khanacademy.org/math/algebra-basics/alg-basics-quadratics-and-polynomials/alg-basics-factoring-quadratics-1/v/factoring-quadratic-expressions
http://www.basic-mathematics.com/factoring-trinomials.html
Decimals
http://www.oracletutoring.ca/blog/?p=2607
Fractions
https://www.youtube.com/watch?v=cjubGBDjtDY
difference of squares:
https://www.khanacademy.org/math/algebra-basics/alg-basics-quadratics-and-polynomials/alg-basics-factoring-diff-of-squares/v/factoring-to-produce-difference-of-squares
http://www.purplemath.com/modules/specfact.htm
perfect squares:
https://www.khanacademy.org/math/algebra-basics/alg-basics-quadratics-and-polynomials/alg-basics-factoring-perfect-squares/v/factoring-perfect-square-trinomials
http://www.youtube.com/watch?v=xlZAftQcnGg
http://www.purplemath.com/modules/grphquad2.htm
discriminant to find the number of roots:
http://www.mathwarehouse.com/quadratic/discriminant-in-quadratic-equation.php
checking for extraneous roots:
http://www.mathwarehouse.com/radical-equations/how-to-solve-radical-equations.php
Completing the Square:
http://www.mathsisfun.com/algebra/completing-square.html
http://www.youtube.com/watch?v=xGOQYTo9AKY
http://staff.argyll.epsb.ca/jreed/math20p/quadraticFunctions/completingSquare.htm
CHAPTER 4: GRAPHING QUADRATICS USING THE ROOTS, VERTEX, LINE OF SYMMETRY AND WRITING THE EQUATION
class notes:
pc11_ch4.pdf
Graphing using the roots:
http://www.algebralab.org/lessons/lesson.aspx?file=algebra_quad_graphing.xml
http://www.valleyview.k12.oh.us/vvhs/dept/math/quadshelp.html
Using the roots to find the vertex and axis of symmetry:
http://www.mathops.com/free/a1qd014.php
http://www.youtube.com/watch?v=zRTnNQkonhc
finding the quadratic equation using the graph:
http://jwilson.coe.uga.edu/emt668/emat6680.f99/jones/instructional%20unit/writingquads.html
CHAPTER 8: GRAPHING ABSOLUTE VALUE AND RECIPROCAL EQUATIONS
Class notes:
ma11pc_ch8_notes.pdf
pc11_ch8.pdf
graphing calculator
https://www.desmos.com/calculator/2osy0mxkjx
absolute value (graphing)
http://www.purplemath.com/modules/graphabs.htm
Graphing quadratic absolute value:
http://www.coolmath.com/algebra/21-advanced-graphing/04-absolute-value-functions-02.htm
absolute value
http://function-of-time.blogspot.ca/2010/06/absolute-value-both-rigorous-and-in.html
http://function-of-time.blogspot.ca/2011/09/algebra-2-graphing-absolute-value.htmlhttp://function-of-time.blogspot.ca/2011/09/algebra-2-solving-absolute-value.html
Graphing reciprocal of a line:
http://www.themathpage.com/aprecalc/rational-functions.htm
http://www.youtube.com/watch?v=dCN3YknuLVg&feature=relmfu
Graphing reciprocal of a quadratic:
http://www.youtube.com/watch?v=o4HICjlFjqY
http://advancedfunctions09-10.blogspot.com/2009/10/32-reciprocal-of-quadratic-function.html
writing the formula for an absolute value equation:
http://www.youtube.com/watch?v=kI9aWdDwspA
http://www.nabla.hr/Z_Pre-CalculusQuadEqAbsValIneqBiqadRadicalEq_3.htm
CHAPTER 5: SOLVING INEQUALITIES GRAPHICALLY AND ALGEBRAICALLY
Class notes:
ma11pc_ch5_notes.pdf
inequalities( 1 variable):
http://www.purplemath.com/modules/ineqsolv.htm
http://www.mathsisfun.com/algebra/inequality-solving.html
http://www.youtube.com/watch?v=VgDe_D8ojxw
http://www.youtube.com/watch?v=1wPJfzStBqE
Graphing inequalities: ( (x+3)(x-2) = 0)
http://www.purplemath.com/modules/ineqgrph.htm
http://www.youtube.com/watch?v=0VVQYOMRlkQ
http://www.youtube.com/watch?v=unSBFwK881s
Graphing quadratic inequalities in standard form ( y > ax2 + bx + c)
http://www.youtube.com/watch?v=k9JZE2I4lO4
http://www.youtube.com/watch?v=hKFXqLq1Wt0
http://www.youtube.com/watch?v=k5nw5pGpbGc
Solving inequalities algebraically:
http://www.youtube.com/watch?v=a9dzsIxcI-o
http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/systems-of-equations?playlist=Algebra
CHAPTER 6: TRIGONOMETRY: SINE LAW, COSINE LAW AND THE UNIT CIRCLE
Class notes:
ch_6_notes_pc11.pdf
Trigonometry: ( for use on a right angle triangle only)
rap song:
http://youtu.be/t2uPYYLH4Zo
video:
http://www.youtube.com/watch?v=dLOdHzttQ90
Lesson:
http://regentsprep.org/REgents/math/ALGEBRA/AT2/Ltrig.htm
Pythagorean Theorem: ( for use on a right angle triangle only)
Videos:
http://www.youtube.com/watch?v=0HYHG3fuzvk
http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/pythagorean-theorem
The Sine Law: ( for use on a non- right angle triangle)
http://www.mathsisfun.com/algebra/trig-sine-law.html
video:
http://www.youtube.com/watch?v=Gmxd8HHimNE
http://www.5min.com/Video/Learn-about-Proof-Law-of-Sines-99169401
The Cosine Law: ( for use on a non-right angle triangle)
http://www.youtube.com/watch?v=n_iJ5ffy1Jk
http://www.khanacademy.org/math/trigonometry/v/law-of-cosines
Lesson:
http://www.mathsisfun.com/algebra/trig-cosine-law.html
The unit circle:
video:
http://www.khanacademy.org/math/trigonometry/v/unit-circle-definition-of-trig-functions
lesson:
http://www.mathsisfun.com/geometry/unit-circle.html
games
http://www.quia.com/cb/278912.html
CHAPTER 7: RATIONAL EXPRESSIONS ( ADD, SUBTRACT, MULTIPLY, DIVIDE AND SIMPLIFY)
CLASS NOTES:
pc11_ch7.pdf
Multiplying rational expressions:
http://www.purplemath.com/modules/rtnlmult.htm
http://www.youtube.com/watch?v=-aZ0a7aMiPE
http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/multiplying-and-dividing-rational-expressions
Dividing Rational expressions:
http://www.purplemath.com/modules/rtnlmult2.htm
http://www.youtube.com/watch?v=N8MkTuLlgOg&feature=fvwrel
Adding and subtracting rational expressions:
http://www.purplemath.com/modules/rtnladd.htm
http://www.youtube.com/watch?v=omv7Di2o8-Y&feature=related
http://www.youtube.com/watch?v=8_2x1kktEPc&feature=related
http://www.khanacademy.org/math/algebra/exponents-radicals/v/adding-and-subtracting-rational-expressions
Solving Rational equations:
http://www.purplemath.com/modules/solvrtnl.htm
http://www.youtube.com/watch?v=FMfqBKfwkKc
http://www.khanacademy.org/math/algebra/ratios-proportions/v/solving-rational-equations-1
No longer in the BC curriculum
CHAPTER 1: ALGEBRAIC AND GEOMETRIC SEQUENCE AND SERIES
Class notes:
pc11_ch1.pdf
Sequence and Series application video:
http://youtu.be/AmFMJC45f1Q
try this:
https://www.youtube.com/watch?v=vKA4w2O61Xo
Arithmetic Sequences:
http://www.purplemath.com/modules/series3.htm
http://www.algebralab.org/lessons/lesson.aspx?file=algebra_arithseq.xml
http://www.youtube.com/watch?v=lj_X9JVSF8k
http://www.khanacademy.org/math/calculus/v/sequences-and-series--part-1
Arithmetic Series:
http://www.mathwords.com/a/arithmetic_series.htm
http://www.youtube.com/watch?v=Dj1JZIdIwwo
http://www.khanacademy.org/math/calculus/v/sequences-and-series--part-1
Geometric Sequences:
http://www.regentsprep.org/Regents/math/algtrig/ATP2/GeoSeq.htm
http://www.mathsisfun.com/algebra/sequences-sums-geometric.html
http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/geometric-sequences--introduction
http://www.mathguide.com/lessons/SequenceGeometric.html
Geometric Series:
http://www.youtube.com/watch?v=mYg5gKlJjHc
Infinite series:
http://www.mathwords.com/i/infinite_geometric_series.htm
http://www.khanacademy.org/math/calculus/v/sequences-and-series--part-2
https://www.youtube.com/user/mathjohnson/featured
TOOLS
https://www.desmos.com/calculator
CHAPTER 2: OPERATIONS WITH RADICALS AND ABSOLUTE VALUE
Class notes:
pc11_ch2.pdf
Simpifying radicals:
http://www.themathpage.com/alg/simplify-radicals.htm
http://www.youtube.com/watch?v=ucnKcrg5TrQ
Multiplying radicals:
https://www.youtube.com/watch?v=0Wh5mNGEmBE
http://www.themathpage.com/alg/multiply-radicals.htm
Dividing Radicals:
http://www.youtube.com/watch?v=N8MkTuLlgOg
http://www2.pilotmath.com/assets/conceptcapsule/multiplying_and_dividing_radicals/player.html
Adding and Subtracting Radicals:
https://www.youtube.com/watch?v=DjUAL43NYos
http://www.intmath.com/exponents-radicals/4-addition-subtraction-radicals.php
http://www.khanacademy.org/exercise/adding_and_subtracting_radicals
Simplifying by rationalizing the denomenator:
http://www.mathsisfun.com/algebra/rationalize-denominator.html
http://www.math.unt.edu/mathlab/emathlab/how%20to%20rationalize%20the%20denominator%20of%20a%20fraction.htm
http://www.youtube.com/watch?v=i4F8x_6PHpY
Absolute value equations:
http://www.purplemath.com/modules/absolute.htm
http://www.purplemath.com/modules/solveabs.htm
http://www.mathsisfun.com/numbers/absolute-value.html
radical equations:
http://www.purplemath.com/modules/solverad.htm
http://www.purplemath.com/modules/solverad2.htm
http://www.algebralab.org/lessons/lesson.aspx?file=Algebra_radical_solving.xml
Graphing absolute value equations:
http://www.purplemath.com/modules/graphabs.htm
http://www.youtube.com/watch?v=N2wJumFZYxo
Graphing radical equations:
http://www.purplemath.com/modules/graphrad.htm
http://www.regentsprep.org/Regents/math/algtrig/ATE10/radlesson.htm
http://www.onlinemathlearning.com/graph-radical-equations.html
CHAPTER 3: GRAPHING QUADRATIC EQUATIONS- QUADRATIC FORMULA, FACTORING AND COMPLETING THE SQUARE
Class notes:
ma11pc_ch3.pdf
pc11_ch3__1_.pdf
The Quadratic Formula:
http://www.purplemath.com/modules/quadform.htm
http://www.teacherschoice.com.au/maths_library/algebra/alg_6.htm
Graphing using the roots:
http://www.algebralab.org/lessons/lesson.aspx?file=algebra_quad_graphing.xml
http://www.valleyview.k12.oh.us/vvhs/dept/math/quadshelp.html
factoring rap
http://www.youtube.com/watch?v=OFSrINhfNsQ
The Quadratic Formula:
quadratic rap
http://www.npr.org/2013/01/08/167471106/2-pi-rhymes-and-radii
quadratic formula help sites:
http://www.purplemath.com/modules/quadform.htm
factoring -
https://www.youtube.com/watch?v=AMEau9OE6Bs
https://www.khanacademy.org/math/algebra-basics/alg-basics-quadratics-and-polynomials/alg-basics-factoring-quadratics-1/v/factoring-quadratic-expressions
http://www.basic-mathematics.com/factoring-trinomials.html
Decimals
http://www.oracletutoring.ca/blog/?p=2607
Fractions
https://www.youtube.com/watch?v=cjubGBDjtDY
difference of squares:
https://www.khanacademy.org/math/algebra-basics/alg-basics-quadratics-and-polynomials/alg-basics-factoring-diff-of-squares/v/factoring-to-produce-difference-of-squares
http://www.purplemath.com/modules/specfact.htm
perfect squares:
https://www.khanacademy.org/math/algebra-basics/alg-basics-quadratics-and-polynomials/alg-basics-factoring-perfect-squares/v/factoring-perfect-square-trinomials
http://www.youtube.com/watch?v=xlZAftQcnGg
http://www.purplemath.com/modules/grphquad2.htm
discriminant to find the number of roots:
http://www.mathwarehouse.com/quadratic/discriminant-in-quadratic-equation.php
checking for extraneous roots:
http://www.mathwarehouse.com/radical-equations/how-to-solve-radical-equations.php
Completing the Square:
http://www.mathsisfun.com/algebra/completing-square.html
http://www.youtube.com/watch?v=xGOQYTo9AKY
http://staff.argyll.epsb.ca/jreed/math20p/quadraticFunctions/completingSquare.htm
CHAPTER 4: GRAPHING QUADRATICS USING THE ROOTS, VERTEX, LINE OF SYMMETRY AND WRITING THE EQUATION
class notes:
pc11_ch4.pdf
Graphing using the roots:
http://www.algebralab.org/lessons/lesson.aspx?file=algebra_quad_graphing.xml
http://www.valleyview.k12.oh.us/vvhs/dept/math/quadshelp.html
Using the roots to find the vertex and axis of symmetry:
http://www.mathops.com/free/a1qd014.php
http://www.youtube.com/watch?v=zRTnNQkonhc
finding the quadratic equation using the graph:
http://jwilson.coe.uga.edu/emt668/emat6680.f99/jones/instructional%20unit/writingquads.html
CHAPTER 8: GRAPHING ABSOLUTE VALUE AND RECIPROCAL EQUATIONS
Class notes:
ma11pc_ch8_notes.pdf
pc11_ch8.pdf
graphing calculator
https://www.desmos.com/calculator/2osy0mxkjx
absolute value (graphing)
http://www.purplemath.com/modules/graphabs.htm
Graphing quadratic absolute value:
http://www.coolmath.com/algebra/21-advanced-graphing/04-absolute-value-functions-02.htm
absolute value
http://function-of-time.blogspot.ca/2010/06/absolute-value-both-rigorous-and-in.html
http://function-of-time.blogspot.ca/2011/09/algebra-2-graphing-absolute-value.htmlhttp://function-of-time.blogspot.ca/2011/09/algebra-2-solving-absolute-value.html
Graphing reciprocal of a line:
http://www.themathpage.com/aprecalc/rational-functions.htm
http://www.youtube.com/watch?v=dCN3YknuLVg&feature=relmfu
Graphing reciprocal of a quadratic:
http://www.youtube.com/watch?v=o4HICjlFjqY
http://advancedfunctions09-10.blogspot.com/2009/10/32-reciprocal-of-quadratic-function.html
writing the formula for an absolute value equation:
http://www.youtube.com/watch?v=kI9aWdDwspA
http://www.nabla.hr/Z_Pre-CalculusQuadEqAbsValIneqBiqadRadicalEq_3.htm
CHAPTER 5: SOLVING INEQUALITIES GRAPHICALLY AND ALGEBRAICALLY
Class notes:
ma11pc_ch5_notes.pdf
inequalities( 1 variable):
http://www.purplemath.com/modules/ineqsolv.htm
http://www.mathsisfun.com/algebra/inequality-solving.html
http://www.youtube.com/watch?v=VgDe_D8ojxw
http://www.youtube.com/watch?v=1wPJfzStBqE
Graphing inequalities: ( (x+3)(x-2) = 0)
http://www.purplemath.com/modules/ineqgrph.htm
http://www.youtube.com/watch?v=0VVQYOMRlkQ
http://www.youtube.com/watch?v=unSBFwK881s
Graphing quadratic inequalities in standard form ( y > ax2 + bx + c)
http://www.youtube.com/watch?v=k9JZE2I4lO4
http://www.youtube.com/watch?v=hKFXqLq1Wt0
http://www.youtube.com/watch?v=k5nw5pGpbGc
Solving inequalities algebraically:
http://www.youtube.com/watch?v=a9dzsIxcI-o
http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/v/systems-of-equations?playlist=Algebra
CHAPTER 6: TRIGONOMETRY: SINE LAW, COSINE LAW AND THE UNIT CIRCLE
Class notes:
ch_6_notes_pc11.pdf
Trigonometry: ( for use on a right angle triangle only)
rap song:
http://youtu.be/t2uPYYLH4Zo
video:
http://www.youtube.com/watch?v=dLOdHzttQ90
Lesson:
http://regentsprep.org/REgents/math/ALGEBRA/AT2/Ltrig.htm
Pythagorean Theorem: ( for use on a right angle triangle only)
Videos:
http://www.youtube.com/watch?v=0HYHG3fuzvk
http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/pythagorean-theorem
The Sine Law: ( for use on a non- right angle triangle)
http://www.mathsisfun.com/algebra/trig-sine-law.html
video:
http://www.youtube.com/watch?v=Gmxd8HHimNE
http://www.5min.com/Video/Learn-about-Proof-Law-of-Sines-99169401
The Cosine Law: ( for use on a non-right angle triangle)
http://www.youtube.com/watch?v=n_iJ5ffy1Jk
http://www.khanacademy.org/math/trigonometry/v/law-of-cosines
Lesson:
http://www.mathsisfun.com/algebra/trig-cosine-law.html
The unit circle:
video:
http://www.khanacademy.org/math/trigonometry/v/unit-circle-definition-of-trig-functions
lesson:
http://www.mathsisfun.com/geometry/unit-circle.html
games
http://www.quia.com/cb/278912.html
CHAPTER 7: RATIONAL EXPRESSIONS ( ADD, SUBTRACT, MULTIPLY, DIVIDE AND SIMPLIFY)
CLASS NOTES:
pc11_ch7.pdf
Multiplying rational expressions:
http://www.purplemath.com/modules/rtnlmult.htm
http://www.youtube.com/watch?v=-aZ0a7aMiPE
http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/multiplying-and-dividing-rational-expressions
Dividing Rational expressions:
http://www.purplemath.com/modules/rtnlmult2.htm
http://www.youtube.com/watch?v=N8MkTuLlgOg&feature=fvwrel
Adding and subtracting rational expressions:
http://www.purplemath.com/modules/rtnladd.htm
http://www.youtube.com/watch?v=omv7Di2o8-Y&feature=related
http://www.youtube.com/watch?v=8_2x1kktEPc&feature=related
http://www.khanacademy.org/math/algebra/exponents-radicals/v/adding-and-subtracting-rational-expressions
Solving Rational equations:
http://www.purplemath.com/modules/solvrtnl.htm
http://www.youtube.com/watch?v=FMfqBKfwkKc
http://www.khanacademy.org/math/algebra/ratios-proportions/v/solving-rational-equations-1
No longer in the BC curriculum
CHAPTER 1: ALGEBRAIC AND GEOMETRIC SEQUENCE AND SERIES
Class notes:
pc11_ch1.pdf
Sequence and Series application video:
http://youtu.be/AmFMJC45f1Q
try this:
https://www.youtube.com/watch?v=vKA4w2O61Xo
Arithmetic Sequences:
http://www.purplemath.com/modules/series3.htm
http://www.algebralab.org/lessons/lesson.aspx?file=algebra_arithseq.xml
http://www.youtube.com/watch?v=lj_X9JVSF8k
http://www.khanacademy.org/math/calculus/v/sequences-and-series--part-1
Arithmetic Series:
http://www.mathwords.com/a/arithmetic_series.htm
http://www.youtube.com/watch?v=Dj1JZIdIwwo
http://www.khanacademy.org/math/calculus/v/sequences-and-series--part-1
Geometric Sequences:
http://www.regentsprep.org/Regents/math/algtrig/ATP2/GeoSeq.htm
http://www.mathsisfun.com/algebra/sequences-sums-geometric.html
http://www.khanacademy.org/math/algebra/ck12-algebra-1/v/geometric-sequences--introduction
http://www.mathguide.com/lessons/SequenceGeometric.html
Geometric Series:
http://www.youtube.com/watch?v=mYg5gKlJjHc
Infinite series:
http://www.mathwords.com/i/infinite_geometric_series.htm
http://www.khanacademy.org/math/calculus/v/sequences-and-series--part-2