Some Online Resources for Extra Help

Unit 1 Review and Properties of Functions

What is a function, domain and range

http://www.purplemath.com/modules/fcns2.htm

12 basic functions

https://teacher.ocps.net/jean.adams/media/15pcf.pdf

Odd and Even functions

http://www.mathsisfun.com/algebra/functions-odd-even.html

Inverse relations:

http://www.purplemath.com/modules/invrsfcn3.htm

Unit 2: Rates of Change

2.1 Average Rate of Change:

https://www.youtube.com/watch?v=YpYSEXAxMJ0

2.2 Finding the Instantaneous Rate of Change

From a Table: https://www.youtube.com/watch?v=Srq77uwSC8A

From an equation (difference quotient): https://www.youtube.com/watch?v=IePCHjMeFkE

2.3 Finding the Instantaneous Rate of Change from a graph

http://youtu.be/oDrxCR4s9BE?t=3m18s

2.5 Finding maximum and minimum values with the derivative

http://www.themathpage.com/acalc/max.htm

Unit 3: Polynomial Functions, Polynomial equations and inequalities:

3.1 Exploring polynomials

What is a Polynomial? http://www.mathcentre.ac.uk/resources/uploaded/mc-ty-polynomial-2009-1.pdf

Using Finite Differences https://www.youtube.com/watch?v=Vp-PyKOf9NI

3.2 Characteristics of polynomials, 3.3 Multiplicities of zeroes

http://www.purplemath.com/modules/polyends.htm (5 pages, comprehensive)

3.4 Transformations of cubics and quartics

https://www.youtube.com/watch?v=P8cz-YqWaMw

3.5 division of functions

long division: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/dividing_polynomials/v/polynomial-division

synthetic division: http://www.purplemath.com/modules/synthdiv.htm

3.6 factoring polynomials

The Remainder and Factor Theorems: http://www.mathsisfun.com/algebra/polynomials-remainder-factor.html

3.7 Solving Higher Degree Polynomials:

synthetic method: https://www.youtube.com/watch?v=V4SwG-SPCn0

3.8 Solving linear inequalities

http://www.purplemath.com/modules/ineqlin3.htm

3.9 Solving Polynomial Inequalities

Quadratics: https://www.khanacademy.org/math/algebra2/polynomial_and_rational/quad_ineq/v/quadratic-inequalities-visual-explanation

Using a table: https://www.youtube.com/watch?v=idBbsanc8BQ

3.10 Rates of change in polynomial functions

see rates of change section

Unit 4: Rational functions:

4.1 Graphing Reciprocal Functions

https://www.youtube.com/watch?v=xRcPMktBHDw

4.2 Introduction to Rational Functions

https://www.khanacademy.org/math/algebra2/polynomial_and_rational/asymptotes-graphing-rational/v/another-rational-function-graph-example

4.3 Graphs of Rational Functions

Graphing: https://www.youtube.com/watch?v=b-CydtdDYD8

Finding asymptotes: https://www.youtube.com/watch?v=f4s7POhnEGU

4.4 Rational Equations

Solving rational equations: http://www.purplemath.com/modules/solvrtnl.htm

https://www.khanacademy.org/math/algebra2/rational-expressions/solving-rational-equations/v/solving-rational-equations-1

4.5 Rational Inequalities

Rational inequalities: https://www.youtube.com/watch?v=Dd-dwlUqkZM (he uses testing points, using a table is often easier)

4.6 Rates of Change in Rational Functions

See Rates of Change Unit

Unit 5: Trigonometric functions:

5.1 Introduction to radians:

https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/radians_tutorial/v/introduction-to-radians

5.2 Radian measure on the Cartesian plane and special triangles

https://www.youtube.com/watch?v=nh__OEPKXnY

5.3 Graphing the primary trigonometric functions

http://www.purplemath.com/modules/triggrph.htm

5.4 Transformations of trigonometric functions:

Sine function: https://www.desmos.com/calculator/absl7xylcv

All 6 basic functions: http://illuminations.nctm.org/Activity.aspx?id=3589

5.5 Graphs of the reciprocal trigonometric functions:

Graphing: http://www.purplemath.com/modules/triggrph3.htm

Arithmetic series review: https://www.youtube.com/watch?v=6W4AiQbRrCk

5.6 Modelling with Trigonometric Functions

https://www.khanacademy.org/math/trigonometry/trig-function-graphs/modeling-periodic-functions/v/modeling-temperature-fluxtuations

5.7 Rates of Change in Trigonometric Functions

See Rates of Change Unit

Unit 6: Logarithmic Functions: