MHF4U-Advanced Functions

About This Course

MHF4U - Advanced Functions course extends students' experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric functions; develop techniques for combining functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended both for students taking the Calculus and Vectors course as a prerequisite for a university program and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs.

Course prerequisite

• C1-MCR3U_Grade 11 Functions
• C2-MCF3M_Grade 11 Functions and Applications
  [Note: complete one of C1 or C2 is fine.]

Course Content

• P1-Textbook(McGraw-Hill Ryerson[2012/unknown]/Nelson)
• P2-Solution Mannual(Nelson)
• P3-Lecture Note Annoted([TDSB01/2025]/[SP01/2025])
• P3.1-Summary Note(Publisher/Year)
• P4-Tutorial Slide(Publisher/Year)
• P5-Problem Set(Publisher/Year)
• P6-Course Projects(Publisher/Year)
• P6.1-Writing Activities(Publisher/Year)
• P7-Pre-Class Quiz([TDSB01/2025])
• P8-Term Test([TDSB01/2025])
• P9-Final Exam Review([SampleExam/2025])
• P10-Reference Note/Book(TrigFormula/TrigToolBox)

Course Learn Path - Modules

The courses MDM(McGraw-Hill Ryerson) unit list as follows:

• Ch01-Functions: Characteristics and Propertities
• Ch02-Functions: Understanding Rate of Changes
• Ch03-Polynomial Functions
• Ch04-Polynomial Equations and Inequalities
• Ch05-Rational Functions, Equations, and Inequalities
• Ch06-Trigonometric Funtions
• Ch07-Trigonometric Identities and Equations
• Ch08-Exponential and Logarithmic Funtions
• Ch09-Combinations of Funtions

Course Description: 1 Course

High School Enrolled : TDSB High School Gr 12 Mathematics

Main Instructor:

1. Lecture Facilitator - Public School Teacher
2. Workshop Facilitator - Public School Teacher

Applied Learning Project

Textbooks:

1.Mathematics of Data Management(McGraw-Hill Ryerson) 2.Mathematics of Data Management[Pre Calculus](McGraw-Hill Ryerson, 2012) 3.Mathematics of Data Management(Nelson)

Add-on Resources:

1. Microsoft Excel/Google Sheet
2. Scientific Calculator
3. TI-83+ Graphing Calculator

Projects:

Useful Resources

• Course Link

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