Course Title: Functions and Applications, Grade 11, University/College Preparation
Course Code: MCF3M
Grade: 11
Course Type: University/College Preparation
Credit Value: 1
Prerequisite: Principles of Mathematics, Grade 10, Academic, or Foundations of Mathematics, Grade 10, Applied
Department: Mathematics

Course Description

This course introduces basic features of the function by extending students’ experiences with quadratic relations. It focuses on quadratic, trigonometric, and exponential functions and their use in modelling real-world situations. Students will represent functions numerically, graphically, and algebraically; simplify expressions; solve equations; and solve problems relating to applications. Students will reason mathematically and communicate their thinking as they solve multi-step problems

Course Outline
  • MCF3M Unit 1 Overview
  • Accessibility to MCF3M Unit 1 Assignment
  • U1L1 Real-World Applications of Quadratic Relations with Table of Values (A1.1)
  • U1L2 Real-World Applications of Quadratic Relations with Graphs (A1.1)
  • U1L3 Situations Using Quadratic Expressions In One Variable (A1.2)
  • U1L4 Expanding and Simplifying Quadratic Expressions In One Variable (A1.2)
  • U1L5 Factoring Quadratic Expressions (Part 1) (A1.3)
  • U1L6 Factoring Quadratic Expressions (Part 2) (A1.3)
  • U1L7 Solving Quadratic Expressions Using Factoring (Part 1) (A1.4)
  • U1L8 Solving Quadratic Expressions Using Factoring (Part 2) (A1.4)
  • U1L9 Connecting Quadratic Expression Factors and X-Inercepts (Part 1) (A1.5)
  • U1L10 Connecting Quadratic Expression Factors and X-Inercepts (Part 2) (A1.5)
  • U1L11 Algebraic Development of Quadratic Formula (A1.6)
  • U1L12 Applying Quadratic Formula (A1.6)
  • U1L13 Relating Real Roots to X-Intercepts (A1.7)
  • U1L14 Connecting Real Roots To The Discriminant (A1.7)
  • U1L15 Real Roots of Quadratic Equations (Part 1) (A1.8)
  • U1L16 Real Roots of Quadratic Equations (Part 2) (A1.8)
  • U1L17 Distinguishing Functions and Relations (Part 1) (A2.1)
  • U1L18 Distinguishing Functions and Relations (Part 2) (A2.1)
  • U1L19 Evaluating Linear and Quadratic Functions (A2.2)
  • U1L20 Evaluating Real-World Applications of Quadratic Functions (A2.2)
  • U1L21 Domain of a Quadratic Function (A2.3)
  • U1L22 Range of a Quadratic Function (A2.3)
  • U1L23 Restrictions on Domain of Quadratic Function (A2.4)
  • U1L24 Restrictions on Range of Quadratic Function (A2.4)
  • Finish and Hand in MCF3M Unit1 Assignment at the end of lesson
  • MCF3M Unit 2 Overview
  • Accessibility to MCF3M Unit 2 Assignment
  • U2L1 Investigating Roles of a,h and k in Quadratic Functions (A2.5)
  • U2L2 Describing Roles of a,h and k in Quadratic Functions (A2.5)
  • U2L3 Sketching Transformations of Graphs (Part 1) (A2.6)
  • U2L4 Sketching Transformations of Graphs (Part 2) (A2.6)
  • U2L5 Expressing Equation of Quadratic Functions(A2.7)
  • U2L6 Verifying Equivalent Representations of Quadratic Functions (A2.7)
  • U2L7 Quadratic Functions in Vertex Form (Part 1) (A2.8)
  • U2L8 Quadratic Functions in Vertex Form (Part 2) (A2.8)
  • U2L9 Sketching Quadratic Functions in Factored Form (Part 1) (A2.9)
  • U2L10 Sketching Quadratic Functions in Factored Form (Part 2) (A2.9)
  • U2L11 Sketching Quadratic Functions in Factored Form (Part 3) (A2.9)
  • U2L12 Information Obtained By Examining Quadratic Functions (Part 1) (A2.10)
  • U2L13 Information Obtained By Examining Quadratic Functions (Part 2) (A2.10)
  • U2L14 Information Obtained By Examining Quadratic Functions (Part 3) (A2.10)
  • U2L15 Sketching Quadratic Functions Using Suitable Strategies (A2.11)
  • U2L16 Identifying Key Features of Quadratic Function Graph (A2.11)
  • U2L17 Collecting Data To Be Modeled As A Quadratic Function (Part 1) (A3.1)
  • U2L18 Collecting Data To Be Modeled As A Quadratic Function (Part 2) (A3.1)
  • U2L19 Determining Quadratic Function Given Scatter Plot (Part 1) (A3.2)
  • U2L20 Determining Quadratic Function Given Scatter Plot (Part 2) (A3.2)
  • U2L21 Determining Quadratic Function Given Scatter Plot (Part 3) (A3.2)
  • U2L22 Solving Real-World Applications of Quadratic Functions (Part 1) (A3.3)
  • U2L23 Solving Real-World Applications of Quadratic Functions (Part 2) (A3.3)
  • U2L24 Solving Real-World Applications of Quadratic Functions (Part 3) (A3.3)
  • Finish and Hand in MCF3M Unit 2 Assignment at the end of lesson
  • MCF3M Unit 2 Online Test
  • MCF3M Unit 3 Overview
  • Accessibility to MCF3M Unit 3 Assignment
  • U3L1 Investigating Value of Power With Rational Exponent (B1.1)
  • U3L2 Evaluating Numerical Expressions With Rational Bases and Exponents (B1.2)
  • U3L3 Graphing Exponential Relations (Part 1) (B1.3)
  • U3L4 Graphing Exponential Relations (Part 2) (B1.3)
  • U3L5 Key Properties of Rational Expressions (Part 1) (B1.4)
  • U3L6 Key Properties of Rational Expressions (Part 2) (B1.4)
  • U3L7 Investigating Exponent Rules (Part 1) (B1.5)
  • U3L8 Investigating Exponent Rules (Part 2) (B1.5)
  • U3L9 Distinguishing Exponential Relations (B1.6)
  • U3L10 Collecting Data For Exponential Functions (B2.1)
  • U3L11 Graphing Using Data From Exponential Functions (B2.1)
  • U3L12 Identifying Exponential Functions Given Representations (Part 1) (B2.2)
  • U3L13 Identifying Exponential Functions Given Representations (Part 2) (B2.2)
  • U3L14 Exponential Functions Form Real-World Applications (Part 1) (B2.3)
  • U3L15 Exponential Functions Form Real-World Applications (Part 2) (B2.3)
  • U3L16 Simple and Compound Interest (B3.1)
  • U3L17 Solving Problems Using Compound Interest Formula (B3.2)
  • U3L18 Investigating Financial Problems With Exponential Functions (Part 1) (B3.3)
  • U3L19 Investigating Financial Problems With Exponential Functions (Part 2) (B3.3)
  • U3L20 Solving Interest Rate Per Compound Period (B3.4)
  • U3L21 Annuity (B3.5)
  • U3L22 Changing Conditions of Simple Annuities (Part 1) (B3.6)
  • U3L23 Changing Conditions of Simple Annuities (Part 2) (B3.6)
  • U3L24 Solving Problems With Annuity (B3.7)
  • Finish and Hand in MCF3M Unit3 Assignment at the end of lesson
  • MCF3M Unit 4 Overview
  • Accessibility to MCF3M Unit 4 Assignment
  • U4L1 Solving Problems Using Primary Trigonometric Ratios (Part 1) (C1.1)
  • U4L2 Solving Problems Using Primary Trigonometric Ratios (Part 2) (C1.1)
  • U4L3 Solving Problems With Two Right Triangles in 2D (C1.2)
  • U4L4 Sine Law and Cosine Law (C1.3)
  • U4L5 Conditions Using Sine Law and Cosine Law (C1.4)
  • U4L6 Calculating Acute Triangles (C1.4)
  • U4L7 Solving Problems Involving Sine Law or Cosine Law (Part 1) (C1.5)
  • U4L8 Solving Problems Involving Sine Law or Cosine Law (Part 2) (C1.5)
  • U4L9 Key Properties of Periodic Functions (C2.1)
  • U4L10 Periodic Functions in Real-World Applications (C2.1)
  • U4L11 Predicting Future Behaviour of Periodic Function (Part 1) (C2.2)
  • U4L12 Predicting Future Behaviour of Periodic Function (Part 2) (C2.2)
  • U4L13 Connections Between Sine Ratio and Sine Function (Part 1) (C2.3)
  • U4L14 Connections Between Sine Ratio and Sine Function (Part 2) (C2.3)
  • U4L15 Sketching Sine Graph (C2.4)
  • U4L16 Describing Key Properties of Sine Graph (C2.4)
  • U4L17 Connecting Periodic Functions With The Real World (C2.5)
  • U4L18 Roles of Parameters a, c, and d (Part 1) (C2.6)
  • U4L19 Roles of Parameters a, c, and d (Part 2) (C2.6)
  • U4L20 Transformations of Sine Graph (Part 1) (C2.7)
  • U4L21 Transformations of Sine Graph (Part 2) (C2.7)
  • U4L22 Collecting Data For Sine Function (C3.1)
  • U4L23 Identifying Periodic and Sinusoidal Functions (C3.2)
  • U4L24 Posing Sine Function Problems (C3.3)
  • Finish and Hand in MCF3M Unit 4 Assignment at the end of lesson
  • MCF3M Unit 4 Online Test
  • MCF3M Final Project
  • MCF3M Final Exam
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