Welcome to my Math 12 Pre-Calculus page.
I will periodically post links for related web activities here that will supplement the concepts being studied in class. For class handouts or notes, use the links below.
If you need a graphing calculator for homework, try this site (on your computer or as an App for your smart phone/ipad):Â
Desmos: https://www.desmos.com/calculatorÂ
Some animations to support Trigonometry are available here:Â Â
U. of Waterloo Pre-Calc 12 Support
An excellent resource to support your learning can be found here: Â https://courseware.cemc.uwaterloo.ca/8?gid=122
It contains course material for a typical Pre-Calculus 12 course with video lessons, quizzes, homework exercises and full solutions for most topics we'll be studying this year, as well as reviewing important concepts required from earlier courses. Excellent for test preparation as well as remedial support for topics you are weak on, or missed completely.Â
What follows in the drop-down menus for each unit are links to specific concepts we'll be studying.
Interval Notation https://courseware.cemc.uwaterloo.ca/8/assignments/75/0
Domain and Range https://courseware.cemc.uwaterloo.ca/44/151/assignments/1182/0
Linear Functions
Slope-Intercept Equation https://courseware.cemc.uwaterloo.ca/42/assignments/1120/0
Quadratic Functions
Factored Form https://courseware.cemc.uwaterloo.ca/43/146/assignments/1158/0
Vertex Form https://courseware.cemc.uwaterloo.ca/43/146/assignments/1159/0
Introducing Sequences https://courseware.cemc.uwaterloo.ca/45/assignments/1205/0
Relations and Functions https://courseware.cemc.uwaterloo.ca/8/assignments/118/0
reviews set notation, mapping diagrams, domain and range, vertical line test, function notation, composite functions
Interval Notation and End Behaviour https://courseware.cemc.uwaterloo.ca/8/assignments/75/0
Solve Linear Inequalities
Graphing the 5 Base Functions https://courseware.cemc.uwaterloo.ca/8/32/assignments/108/0
quadratic, square root, reciprocal, exponential, absolute value
Translations  y=f(x-h)+k https://courseware.cemc.uwaterloo.ca/8/32/assignments/109/0
Reflections y=-f(-x) https://courseware.cemc.uwaterloo.ca/8/32/assignments/110/0
Stretches y=af(bx) https://courseware.cemc.uwaterloo.ca/8/32/assignments/111/0
Combining Transformations https://courseware.cemc.uwaterloo.ca/8/32/assignments/112/0
Inverses https://courseware.cemc.uwaterloo.ca/8/32/assignments/113/0
Sums and Differences of Functions https://courseware.cemc.uwaterloo.ca/8/38/assignments/93/0
Products and Quotients of Functions https://courseware.cemc.uwaterloo.ca/8/38/assignments/304/0
Composition of Functions https://courseware.cemc.uwaterloo.ca/8/38/assignments/303/0
Solving Equations and Inequalities https://courseware.cemc.uwaterloo.ca/8/38/assignments/305/0
Part 3 teaches how to solve RADICAL Equations
Introduction to Polynomial Functions https://courseware.cemc.uwaterloo.ca/8/assignments/114/0
Transformations of Polynomial F'ns https://courseware.cemc.uwaterloo.ca/8/43/assignments/115/0
Characteristics of Polynomial Functions https://courseware.cemc.uwaterloo.ca/8/43/assignments/116/0
Graphing Factored Polynomial Functions https://courseware.cemc.uwaterloo.ca/8/43/assignments/117/0
Equations of Factored Poly. Functions https://courseware.cemc.uwaterloo.ca/8/assignments/118/0
Division of Polynomials https://courseware.cemc.uwaterloo.ca/8/33/assignments/68/0
The REMAINDER and FACTOR Theorems https://courseware.cemc.uwaterloo.ca/8/33/assignments/69/0
Factoring Polynomials using F.T. https://courseware.cemc.uwaterloo.ca/8/33/assignments/70/0
Methods of Factoring Polynomials https://courseware.cemc.uwaterloo.ca/8/33/assignments/71/0
Solving Polynomial Equations https://courseware.cemc.uwaterloo.ca/8/33/assignments/72/0
Radian Measure https://courseware.cemc.uwaterloo.ca/8/36/assignments/91/0
The Unit Circle https://courseware.cemc.uwaterloo.ca/8/36/assignments/214/0
Angles in Standard Position
Coterminal and Reference Angles
x, y, r Definitions of the primary and reciprocal trigonometric functions
Exact Value Ratios https://courseware.cemc.uwaterloo.ca/8/36/assignments/216/0
Graphs of Primary Trig. Functions https://courseware.cemc.uwaterloo.ca/8/36/assignments/212/0
Graphs of Reciprocal Trig. Functions https://courseware.cemc.uwaterloo.ca/8/36/assignments/272/0
Transformations of Sinusoidal Functions https://courseware.cemc.uwaterloo.ca/8/36/assignments/284/0
Working with Sinusoidal Functions https://courseware.cemc.uwaterloo.ca/8/36/assignments/287/0
Applications of Sinusoidal Functions https://courseware.cemc.uwaterloo.ca/8/36/assignments/288/0
Equivalent Trigonometric Expressions https://courseware.cemc.uwaterloo.ca/8/37/assignments/297/0
Proving Trigonometric Identities https://courseware.cemc.uwaterloo.ca/8/37/assignments/298/0
Angle Sum and Difference Identities https://courseware.cemc.uwaterloo.ca/8/37/assignments/296/0
Double Angle Identities https://courseware.cemc.uwaterloo.ca/8/37/assignments/300/0
Solving Trigonometric Equations https://courseware.cemc.uwaterloo.ca/8/37/assignments/301/0
Exponential Functions and their graphs https://courseware.cemc.uwaterloo.ca/8/assignments/90/0
Solving Exponential Equations https://courseware.cemc.uwaterloo.ca/8/35/assignments/201/0
Modeling Exponential Behaviour https://courseware.cemc.uwaterloo.ca/8/35/assignments/204/0
Logarithmic Functions and their graphs https://courseware.cemc.uwaterloo.ca/8/35/assignments/208/0
Properties and Laws of Logarithms https://courseware.cemc.uwaterloo.ca/8/35/assignments/210/0
Solve Exponential and Logarithmic Eq'ns https://courseware.cemc.uwaterloo.ca/8/35/assignments/169/0
Geometric Sequences https://courseware.cemc.uwaterloo.ca/45/157/assignments/1216/0
Geometric Series https://courseware.cemc.uwaterloo.ca/45/157/assignments/1213/0