This course enables students to broaden their understanding of real-world applications of mathematics. Students will analyse data using statistical methods; solve problems involving applications of geometry and trigonometry; simplify expressions; and solve equations. Students will reason mathematically and communicate their thinking as they solve multi-step problems. This course prepares students for college programs in areas such as business, health sciences, and human services, and for certain skilled trades.
Units of Study:
Unit 1: Solving Exponential Equations
Unit 2: Modeling Graphically
Unit 3: Personal Finance & Mortgages
Unit 4: Renting or Owning a Home & Designing Budgets
Unit 5: Geometry
Unit 6: Trigonometry
Prerequisite: MBF3CI or MCF3MI or MCR3UI
This course builds on students’ previous experience with functions and their developing understanding of rates of change. Students will solve problems involving geometric and algebraic representations of vectors, and representations of lines and planes in three dimensional space; broaden their understanding of rates of change to include the derivatives of polynomial, rational, exponential, and sinusoidal functions; and apply these concepts and skills to the modelling of real-world relationships. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended for students who plan to study mathematics in university and who may choose to pursue careers in fields such as physics and engineering.
Units of Study:
Unit 1: Derivatives
Unit 2: Derivative Applications
Unit 3: Derivatives of Exponential & Logarithmic Functions
Unit 4: Optimization
Unit 5: Curve Sketching & Derivatives of Trig Functions
Unit 6: Geometric Vectors
Unit 7: Algebraic Vectors
Unit 8: Lines in a Plane
Unit 9: Equations of Planes
Prerequisite: MHF4UI
*See AP Information button for more information
This course broadens students’ understanding of mathematics as it relates to managing data. Students will apply methods for organizing large amounts of information; solve problems involving probability and statistics; and carry out a culminating project that integrates statistical concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. Students planning to enter university programs in business, the social sciences, and the humanities will find this course of particular interest.
Units of Study:
Unit 1: The Power of Information
Unit 2: In Search of Good Data
Unit 3: Analyzing Data
Unit 4: Probability
Unit 5: Probability Distributions
Prerequisite: MCF3MI or MCR3UI
This course extends students’ experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric 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 who plan to study mathematics in university and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs.
Units of Study:
Unit 1: Number Systems
Units 2 & 3: Polynomial Functions
Unit 4: Exponential & Logarithmic Functions and Equations
Unit 5: Rational Functions
Units 6 & 7: Trigonometry
Unit 8: Combination of Functions
Unit 9: Rates of Change
Prerequisite: MCR3UI or MCT4CI
*See AP Information button for more information