G12+-+MHF4U

MHF4U Grade 12 - University (Advanced Functions)

 * Authors**: Chris, Heather, Steven (2010); Melissa and Rahim (2012); Lukasz and Inga (2013)

Ministry Guidelines
The Ontario Curriculum: Grades 11-12 Mathematics, Revised 2007 Advanced Functions, Grade 12 found on page 87 out of 160

Key Topics
Advanced Functions 12 Table of Contents
 * 1) Polynomial Functions
 * 2) Polynomial Equations and Inequalities
 * 3) Rational Functions
 * 4) Trigonometry
 * 5) Trigonometric Functions
 * 6) Exponential and Logarithmic Functions
 * 7) Tools and Strategies for Solving Exponential and Logarithmic Equations
 * 8) Combining Functions

Sample Course Outlines
OAME webpage Virtual High School [|Ontario Online Academy]
 * Sample lesson plans, unit plans and example problems
 * Sample course outline from Jarvis Collegiate Institute
 * Sample course outline with detailed unit plans
 * Course outline summary
 * Course outline summary

Video Podcasts
Asymptotes of Rational Functions Composition of Functions Exponential Growth Functions Khan Academy Unit Circle Trick [|Graphing Reciprocal Functions]
 * This website graphs the function y = (x 2 )/(x 2 -16). The video shows the audience how to approximate functions (at infinity, and -ve infinity), and how to find asymptotes.
 * This video is a great explanation of the composition of functions. The author of this video has a bunch of great math tutorials! The only downside to these videos is the introduction music. Once you get past that, the material is great :)
 * This is a great video on graphing exponential functions. The author gives a great visual on how quickly the values grow in these functions, and then graphs the function. A great start!
 * The Khan Academy is a non-profit educational organization and a website created in 2006 by Bangladeshi-American educator Salman Khan, a graduate of MIT and Harvard Business School
 * A cool way to teach students the points on the unit circle for special angles
 * A video showing how to the asymptotes, holes, domain and range for reciprocal functions.

Resources
[|StudyPug] Gizmo Lessons Leading Math Success National Council of Teachers of Mathematics Smartboard Resources [|Grade 12 Advanced Functions]
 * Grade 12 Math help videos with step-by-step solutions.
 * The world's largest library of interactive online simulations for math and science education in grades 3-12.
 * Leading Math Success includes lesson plans, videos, posters and other teaching resources for Grade 7 to 12 math classes.
 * The National Council of Teachers of Mathematics is the public voice of mathematics education, supporting teachers to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, professional development, and research.
 * A directory of lessons for the SMART Board
 * A website that lists free resources for MHF4U.

Selected Teacher Webpages

 * Bell's Page
 * Leonard's Page
 * Mackay's Page
 * McComb Page
 * PED

Lesson Ideas

 * Gizmo Lessons for Advanced Functions
 * Waterloo MathSwap
 * Waterloo Problem of the Week
 * Ontario Educational Resource Bank (Search for MHF4U)