MCR3U1 (Grade 11 Functions)

About MCR3U1

MCR3U1 is the grade 11 university preparation Math course, "Functions," which introduces students to the mathematical concept of functions by extending their understanding of relations from the previous grade 10 Math course (MPM2D1). It is the prerequisite of the grade 12 Math courses (university preparation): MHF4U1 (Advanced Functions) and MDM4U1 (Mathematics of Data Management).

In this MCR3U1 course, we define a function as a relation or a pattern between two sets of numbers in which each x is mapped to at most one y-value. It is important to note that every function is a relation, but it is not true that every relation is a function. This subset relationship between relation and function is illustrated in the diagram at the right (or below).

In the MCR3U1 course, students will learn an introduction to two classes of functions: algebraic and transcendental functions, which are shown in the diagram at the right (or below).

There are 7 units in the MCR3U1 course, and they are as follows:

Unit 1: Introduction to Functions
Unit 2: Equivalent Algebraic Expressions
Unit 3: Quadratic Functions
Unit 4: Exponential Functions
Unit 5: Trigonometric Ratios
Unit 6: Sinusoidal Functions
Unit 7: Discrete Functions

In some units of this MCR3U1 course, the students will be given opportunities to explore the properties and transformations of some graphs in the online Desmos app.

Panoramic Pictures of Mr. Ho's Classroom

Student Feedback

Mr. Ho's grade 11 Math students said: "Function is super fun!"

G11 Feedback from Function Students.mov

Student-Centred Learning: Building Thinking Classrooms

Here are the photos of Mr. Ho's students actively engaged in the in-class activities in the MCR3U1 course:

Group Learning

Here are the photos of Mr. Ho's students working in small groups during the in-class activities in the MCR3U1 course:

Technology-Based Learning: Desmos Activities

Here are the photos of MCR3U1 students working in groups to explore the transformations of the parent functions and the properties of rational expressions and exponential functions using the online Desmos app.

Students' Work at the End of Mr. Ho's Math Fusion Classroom

Here are the photos showing the students' work at the end of Mr. Ho's Math Fusion Classroom: