Welcome to the Foundations of Math 11 help page
Below you will find the content areas with class notes, helpful sites and videos
Chapter 1: Logic and reasoning: Inductive vs Deductive
class notes:
ma11f_ch1.pdf
logic and reasoning
http://youtu.be/S0DSM-EkQE8
inductive reasoning
examples:
http://www.khanacademy.org/math/statistics/v/deductive-reasoning-1
http://www.basic-mathematics.com/examples-of-inductive-reasoning.html
deductive reasoning
examples:
http://www.khanacademy.org/math/statistics/v/deductive-reasoning-1
http://www.youtube.com/watch?v=cvSDrxwQr-Q
Videos:
http://study.com/academy/lesson/inductive-and-deductive-reasoning.html
http://www.bing.com/videos/search?q=Inductive+and+Deductive+Reasoning+in+Life&&view=detail&mid=83A7B5F5A50DC078F05683A7B5F5A50DC078F056&FORM=VRDGAR
http://www.bing.com/videos/search?q=Inductive+and+Deductive+Reasoning+in+Life&&view=detail&mid=A0ED8CE6677A5EF893D0A0ED8CE6677A5EF893D0&rvsmid=83A7B5F5A50DC078F05683A7B5F5A50DC078F056&FORM=VDQVAP&fsscr=0
CHAPTER 2: Parallel lines and transversals; Properties of triangles, similar polygons and triangles
class notes:
ma11f_ch2.pdf
parallel lines
http://www.mathopenref.com/parallel.html
http://www.mathsisfun.com/geometry/parallel-lines.html
game:
http://www.math-play.com/Angles-Jeopardy/Angles-Jeopardy.html
angles formed by parallel lines
http://www.mathsisfun.com/geometry/parallel-lines.html
http://www.khanacademy.org/math/geometry/angles/v/angles-formed-between-transversals-and-parallel-lines
game:
http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.SHAP&ID2=AB.MATH.JR.SHAP.ANG&lesson=html/object_interactives/parallel_lines/use_it.html
properties of triangles
http://www.mathopenref.com/triangle.html
types of triangles
http://www.mathsisfun.com/triangle.html
game:
http://www.mangahigh.com/en/maths_games/shape/triangles/types_of_triangle
similar polygons
http://library.thinkquest.org/20991/geo/spoly.html
http://www.dummies.com/how-to/content/how-to-identify-and-name-similar-polygons.html
similar triangles
http://www.mathsisfun.com/geometry/triangles-similar.html
http://www.mathopenref.com/similartriangles.html
http://www.khanacademy.org/math/geometry/triangles/v/similar-triangles
CHAPTER 3 AND 4: Right Angle Trigonometry review, Sine Law and the Cosine Law
Class notes:
ma11f_ch3.pdf
ma11f_ch4.pdf
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
REVIEW: Trigonometry: ( for use on a right angle triangle only)
class notes:
trigonometry_cheat_sheet__3_.docx
game:
http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.SHAP&ID2=AB.MATH.JR.SHAP.TRI&lesson=html/object_interactives/trigonometry/use_it.html
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
CHAPTER 5: Statistics: Standard deviation, Z scores, Frequency tables/Polygons, Histograms, Confidence intervals and Margin of error
class notes:
ma11f_ch5.pdf
frequency tables
http://www.mathsteacher.com.au/year8/ch17_stat/03_freq/freq.htm
http://www.mathsisfun.com/data/mean-frequency-table.html
histograms
http://www.mathsisfun.com/data/histograms.html
frequency polygons
http://onlinestatbook.com/2/graphing_distributions/freq_poly.html
standard deviation
http://www.youtube.com/watch?v=DMOXzwC2vzg
http://pasles.org/Ti83.html
http://www.khanacademy.org/test-prep/california-standards-test/california-standards-test-algebra-2/v/algebra-ii--mean-and-standard-deviation
http://www.mathsisfun.com/data/standard-deviation-calculator.html
the normal distribution
http://www.khanacademy.org/math/statistics/v/introduction-to-the-normal-distribution
z scores
http://www.youtube.com/watch?v=1o-t_mVDDYQ
http://www.ehow.com/how_4555631_calculate-zscore-statistics.html
confidence intervals
http://www.khanacademy.org/math/statistics/v/confidence-interval-1
margin of error
http://www.khanacademy.org/math/statistics/v/margin-of-error-1
regression to the mean;
https://www.youtube.com/watch?v=1tSqSMOyNFE
CHAPTER 6
Class notes
Graphing Calculator:
using your graphing calculator to find the intersection
https://www.youtube.com/watch?v=RxOltw48pJQ
graphing inequalities: with a calculator:
https://www.youtube.com/watch?v=lLLUe3dQrEA
https://www.youtube.com/watch?v=un1o0kGA-lE
linear inequalities
http://www.purplemath.com/modules/ineqgrph.htm
http://www.purplemath.com/modules/ineqlin.htm
http://www.purplemath.com/modules/syslneq.htm
http://www.mathwarehouse.com/algebra/linear_equation/linear-inequality.php
optimization problems
http://www.thefreemathtutor.com/optimizationi.html
https://www.youtube.com/watch?v=qQvpoHnNd4s
CHAPTER 7: Graphing Quadratic Equations: finding x and y intercepts, completing the square, factoring and using the quadratic formula
class notes:
ma11f_ch7.pdf
Graphing Calculator:
use your calculator to find x intercepts
https://www.youtube.com/watch?v=Yaw9r5W20Jk
graphing intro with a calculator
https://www.youtube.com/watch?v=0F5BmxFDeOY
https://www.youtube.com/watch?v=vD8DwaZWmqo
using the calculator to find the vertex(max or min)
https://www.youtube.com/watch?v=7CrSb0lefOo
finding all values:
https://www.youtube.com/watch?v=pvMxyUbEUJ4
quadraditic functions
http://www.mathsisfun.com/algebra/quadratic-equation.html
http://calculus.nipissingu.ca/tutorials/quadratics.html
graphing quadratic functions
http://www.purplemath.com/modules/grphquad.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://youtu.be/OFSrINhfNsQ
factoring
http://www.purplemath.com/modules/solvquad.htm
http://www.mathsisfun.com/algebra/factoring-quadratics.html
http://www.khanacademy.org/math/algebra/quadratics/v/solving-quadratic-equations-by-factoring-avi
difference of squares:
http://www.purplemath.com/modules/specfact.htm
perfect squares:
http://www.youtube.com/watch?v=xlZAftQcnGg
vertex from factored form
http://www.algebralab.org/lessons/lesson.aspx?file=algebra_quad_vertex.xml
the quadratic formula
http://www.purplemath.com/modules/quadform.htm
http://www.youtube.com/watch?v=IWigvJcCAJ0
http://www.teacherschoice.com.au/maths_library/algebra/alg_6.htm
Vertex form:completing the square
http://www.purplemath.com/modules/sqrquad.htm
http://www.mathsisfun.com/algebra/completing-square.html
http://www.khanacademy.org/math/algebra/quadratics/v/completing-the-square
Other class notes from Pre-Caclulus 11
pc11_ch3__1_.pdf
pc11_ch4.pdf
OTHER HELPFUL SITES FOR CH 7
finding the intercepts
x intercepts ( make y = 0) y intercepts( make x = 0)
http://www.purplemath.com/modules/intrcept.htm
http://www.uiowa.edu/~examserv/mathmatters/tutorial_quiz/geometry/findingxyintercepts.html
finding the axis of symmetry
( the x value of the vertex -- or -- (x intercept 1 + x intercept 2)/2
Using vertex form: ( also called standard form)
http://earthmath.kennesaw.edu/main_site/review_topics/vertex_of_parabola.htm
http://www.youtube.com/watch?v=1BEEP2KJ7FY
using factored form: y = (x+2)(x-3)
http://www.angelfire.com/pro/grade_ten_math/Unit3/zeros.html
alternate method with a formula:
http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/axis-symmetry-example.php
CHAPTER 8: Rate, Ratio, englargements and reductions
class notes
ma11f_ch8.pdf
rate and ratio
http://www.mathleague.com/help/ratio/ratio.htm
scale factor
videos:
http://www.youtube.com/watch?v=Cag7m-Y-4vw&feature=related
http://www.youtube.com/watch?v=XtkU4VkWh8I&feature=related
notes from grade 9:
ma9_ch7.pdf
game:
http://www.mathplayground.com/ScaleFactorX/GameLoader.html
enlargements and reductions
http://www.youtube.com/watch?v=Cag7m-Y-4vw&feature=related
OTHER USEFUL INFORMATION:
surface area and volume
Class notes:
ma10fpc_ch2.pdf
surface area
formulas:
http://www.math.com/tables/geometry/surfareas.htm
cylinder:
http://www.mathsteacher.com.au/year9/ch14_measurement/15_total/cylinder.htm
http://www.youtube.com/watch?v=gi7aaZ87EoQ
sphere
http://www.youtube.com/watch?v=cAxHYFRx1Fs
http://www.teacherschoice.com.au/maths_library/area%20and%20sa/area_2.htm
cone
http://www.mathsteacher.com.au/year10/ch14_measurement/18_cone/20cone.htm
cube and rectangular prism:
http://www.basic-mathematics.com/surface-area-of-a-rectangular-prism.html
pyramid:
http://www.mathsisfun.com/geometry/pyramids.html
volume:
prism:
http://www.mathsisfun.com/geometry/prisms.html
cylinder
http://www.mathsteacher.com.au/year9/ch14_measurement/18_cylinder/cylinder.htm
sphere
http://www.mathsteacher.com.au/year10/ch14_measurement/27_sphere/21sphere.htm
cone
http://www.basic-mathematics.com/volume-of-a-cone.
http://www.youtube.com/watch?v=QnVr_x7c79w
cube
http://www.mathvillage.info/node/111
pyramid:
http://www.mathsteacher.com.au/year10/ch14_measurement/25_pyramid/21pyramid.htm
class notes:
ma11f_ch1.pdf
logic and reasoning
http://youtu.be/S0DSM-EkQE8
inductive reasoning
examples:
http://www.khanacademy.org/math/statistics/v/deductive-reasoning-1
http://www.basic-mathematics.com/examples-of-inductive-reasoning.html
deductive reasoning
examples:
http://www.khanacademy.org/math/statistics/v/deductive-reasoning-1
http://www.youtube.com/watch?v=cvSDrxwQr-Q
Videos:
http://study.com/academy/lesson/inductive-and-deductive-reasoning.html
http://www.bing.com/videos/search?q=Inductive+and+Deductive+Reasoning+in+Life&&view=detail&mid=83A7B5F5A50DC078F05683A7B5F5A50DC078F056&FORM=VRDGAR
http://www.bing.com/videos/search?q=Inductive+and+Deductive+Reasoning+in+Life&&view=detail&mid=A0ED8CE6677A5EF893D0A0ED8CE6677A5EF893D0&rvsmid=83A7B5F5A50DC078F05683A7B5F5A50DC078F056&FORM=VDQVAP&fsscr=0
CHAPTER 2: Parallel lines and transversals; Properties of triangles, similar polygons and triangles
class notes:
ma11f_ch2.pdf
parallel lines
http://www.mathopenref.com/parallel.html
http://www.mathsisfun.com/geometry/parallel-lines.html
game:
http://www.math-play.com/Angles-Jeopardy/Angles-Jeopardy.html
angles formed by parallel lines
http://www.mathsisfun.com/geometry/parallel-lines.html
http://www.khanacademy.org/math/geometry/angles/v/angles-formed-between-transversals-and-parallel-lines
game:
http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.SHAP&ID2=AB.MATH.JR.SHAP.ANG&lesson=html/object_interactives/parallel_lines/use_it.html
properties of triangles
http://www.mathopenref.com/triangle.html
types of triangles
http://www.mathsisfun.com/triangle.html
game:
http://www.mangahigh.com/en/maths_games/shape/triangles/types_of_triangle
similar polygons
http://library.thinkquest.org/20991/geo/spoly.html
http://www.dummies.com/how-to/content/how-to-identify-and-name-similar-polygons.html
similar triangles
http://www.mathsisfun.com/geometry/triangles-similar.html
http://www.mathopenref.com/similartriangles.html
http://www.khanacademy.org/math/geometry/triangles/v/similar-triangles
CHAPTER 3 AND 4: Right Angle Trigonometry review, Sine Law and the Cosine Law
Class notes:
ma11f_ch3.pdf
ma11f_ch4.pdf
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
REVIEW: Trigonometry: ( for use on a right angle triangle only)
class notes:
trigonometry_cheat_sheet__3_.docx
game:
http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.SHAP&ID2=AB.MATH.JR.SHAP.TRI&lesson=html/object_interactives/trigonometry/use_it.html
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
CHAPTER 5: Statistics: Standard deviation, Z scores, Frequency tables/Polygons, Histograms, Confidence intervals and Margin of error
class notes:
ma11f_ch5.pdf
frequency tables
http://www.mathsteacher.com.au/year8/ch17_stat/03_freq/freq.htm
http://www.mathsisfun.com/data/mean-frequency-table.html
histograms
http://www.mathsisfun.com/data/histograms.html
frequency polygons
http://onlinestatbook.com/2/graphing_distributions/freq_poly.html
standard deviation
http://www.youtube.com/watch?v=DMOXzwC2vzg
http://pasles.org/Ti83.html
http://www.khanacademy.org/test-prep/california-standards-test/california-standards-test-algebra-2/v/algebra-ii--mean-and-standard-deviation
http://www.mathsisfun.com/data/standard-deviation-calculator.html
the normal distribution
http://www.khanacademy.org/math/statistics/v/introduction-to-the-normal-distribution
z scores
http://www.youtube.com/watch?v=1o-t_mVDDYQ
http://www.ehow.com/how_4555631_calculate-zscore-statistics.html
confidence intervals
http://www.khanacademy.org/math/statistics/v/confidence-interval-1
margin of error
http://www.khanacademy.org/math/statistics/v/margin-of-error-1
regression to the mean;
https://www.youtube.com/watch?v=1tSqSMOyNFE
CHAPTER 6
Class notes
Graphing Calculator:
using your graphing calculator to find the intersection
https://www.youtube.com/watch?v=RxOltw48pJQ
graphing inequalities: with a calculator:
https://www.youtube.com/watch?v=lLLUe3dQrEA
https://www.youtube.com/watch?v=un1o0kGA-lE
linear inequalities
http://www.purplemath.com/modules/ineqgrph.htm
http://www.purplemath.com/modules/ineqlin.htm
http://www.purplemath.com/modules/syslneq.htm
http://www.mathwarehouse.com/algebra/linear_equation/linear-inequality.php
optimization problems
http://www.thefreemathtutor.com/optimizationi.html
https://www.youtube.com/watch?v=qQvpoHnNd4s
CHAPTER 7: Graphing Quadratic Equations: finding x and y intercepts, completing the square, factoring and using the quadratic formula
class notes:
ma11f_ch7.pdf
Graphing Calculator:
use your calculator to find x intercepts
https://www.youtube.com/watch?v=Yaw9r5W20Jk
graphing intro with a calculator
https://www.youtube.com/watch?v=0F5BmxFDeOY
https://www.youtube.com/watch?v=vD8DwaZWmqo
using the calculator to find the vertex(max or min)
https://www.youtube.com/watch?v=7CrSb0lefOo
finding all values:
https://www.youtube.com/watch?v=pvMxyUbEUJ4
quadraditic functions
http://www.mathsisfun.com/algebra/quadratic-equation.html
http://calculus.nipissingu.ca/tutorials/quadratics.html
graphing quadratic functions
http://www.purplemath.com/modules/grphquad.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://youtu.be/OFSrINhfNsQ
factoring
http://www.purplemath.com/modules/solvquad.htm
http://www.mathsisfun.com/algebra/factoring-quadratics.html
http://www.khanacademy.org/math/algebra/quadratics/v/solving-quadratic-equations-by-factoring-avi
difference of squares:
http://www.purplemath.com/modules/specfact.htm
perfect squares:
http://www.youtube.com/watch?v=xlZAftQcnGg
vertex from factored form
http://www.algebralab.org/lessons/lesson.aspx?file=algebra_quad_vertex.xml
the quadratic formula
http://www.purplemath.com/modules/quadform.htm
http://www.youtube.com/watch?v=IWigvJcCAJ0
http://www.teacherschoice.com.au/maths_library/algebra/alg_6.htm
Vertex form:completing the square
http://www.purplemath.com/modules/sqrquad.htm
http://www.mathsisfun.com/algebra/completing-square.html
http://www.khanacademy.org/math/algebra/quadratics/v/completing-the-square
Other class notes from Pre-Caclulus 11
pc11_ch3__1_.pdf
pc11_ch4.pdf
OTHER HELPFUL SITES FOR CH 7
finding the intercepts
x intercepts ( make y = 0) y intercepts( make x = 0)
http://www.purplemath.com/modules/intrcept.htm
http://www.uiowa.edu/~examserv/mathmatters/tutorial_quiz/geometry/findingxyintercepts.html
finding the axis of symmetry
( the x value of the vertex -- or -- (x intercept 1 + x intercept 2)/2
Using vertex form: ( also called standard form)
http://earthmath.kennesaw.edu/main_site/review_topics/vertex_of_parabola.htm
http://www.youtube.com/watch?v=1BEEP2KJ7FY
using factored form: y = (x+2)(x-3)
http://www.angelfire.com/pro/grade_ten_math/Unit3/zeros.html
alternate method with a formula:
http://www.virtualnerd.com/algebra-1/quadratic-equations-functions/axis-symmetry-example.php
CHAPTER 8: Rate, Ratio, englargements and reductions
class notes
ma11f_ch8.pdf
rate and ratio
http://www.mathleague.com/help/ratio/ratio.htm
scale factor
videos:
http://www.youtube.com/watch?v=Cag7m-Y-4vw&feature=related
http://www.youtube.com/watch?v=XtkU4VkWh8I&feature=related
notes from grade 9:
ma9_ch7.pdf
game:
http://www.mathplayground.com/ScaleFactorX/GameLoader.html
enlargements and reductions
http://www.youtube.com/watch?v=Cag7m-Y-4vw&feature=related
OTHER USEFUL INFORMATION:
surface area and volume
Class notes:
ma10fpc_ch2.pdf
surface area
formulas:
http://www.math.com/tables/geometry/surfareas.htm
cylinder:
http://www.mathsteacher.com.au/year9/ch14_measurement/15_total/cylinder.htm
http://www.youtube.com/watch?v=gi7aaZ87EoQ
sphere
http://www.youtube.com/watch?v=cAxHYFRx1Fs
http://www.teacherschoice.com.au/maths_library/area%20and%20sa/area_2.htm
cone
http://www.mathsteacher.com.au/year10/ch14_measurement/18_cone/20cone.htm
cube and rectangular prism:
http://www.basic-mathematics.com/surface-area-of-a-rectangular-prism.html
pyramid:
http://www.mathsisfun.com/geometry/pyramids.html
volume:
prism:
http://www.mathsisfun.com/geometry/prisms.html
cylinder
http://www.mathsteacher.com.au/year9/ch14_measurement/18_cylinder/cylinder.htm
sphere
http://www.mathsteacher.com.au/year10/ch14_measurement/27_sphere/21sphere.htm
cone
http://www.basic-mathematics.com/volume-of-a-cone.
http://www.youtube.com/watch?v=QnVr_x7c79w
cube
http://www.mathvillage.info/node/111
pyramid:
http://www.mathsteacher.com.au/year10/ch14_measurement/25_pyramid/21pyramid.htm