Course Title: Mathematics for College Technology, Grade 12, College Preparation
Course Code: MCT4C
Grade: 12
Course Type: College Preparation
Credit Value: 1
Prerequisite: Functions and Applications, Grade 11, University/College Preparation, or Functions, Grade 11, University Preparation
Department: Math

Course Description

This course enables students to extend their knowledge of functions. Students will investigate and apply properties of polynomial, exponential, and trigonometric functions; continue to represent functions numerically, graphically, and algebraically; develop facility in simplifying expressions and solving equations; and solve problems that address applications of algebra, trigonometry, vectors, and geometry. Students will reason mathematically and communicate their thinking as they solve multi-step problems. This course prepares students for a variety of college technology programs.

Course Outline
  • MCT4C Unit 1 Overview
  • Accessibility to MCT4C Unit 1 Assignment
  • U1L1 Investigating Graph of Exponential Function (Part 1) (A1.1)
  • U1L2 Investigating Graph of Exponential Function (Part 2) (A1.1)
  • U1L3 Solving Exponential Equations Numerically (A1.2)
  • U1L4 Solving Exponential Equations Graphically (A1.2)
  • U1L5 Finding POI of Two Exponential Functions (Part 1) (A1.3)
  • U1L6 Finding POI of Two Exponential Functions (Part 2) (A1.3)
  • U1L7 Exponential Function Real-World Applications (A1.4)
  • U1L8 Simplifying Algebraic Expressions (A2.1)
  • U1L9 Solving Exponential Equations With Common Bases (A2.2)
  • U1L10 Evaluating Logarithmic Expressions (A2.3)
  • U1L11 Determining the Approximate Logarithm (A2.4)
  • U1L12 Connecting Logarithmic and Exponential Equations (A2.5)
  • U1L13 Logarithmic Form in Real-World Applications (A2.6)
  • U1L14 Recognizing Polynomial Functions (B1.1)
  • U1L15 Identifying Polynomial Functions (Part 1) (B1.2)
  • U1L16 Identifying Polynomial Functions (Part 2) (B1.2)
  • U1L17 Key Features of Polynomial Functions (Part 1) (B1.3)
  • U1L18 Key Features of Polynomial Functions (Part 2) (B1.3)
  • U1L19 Distinguishing Sinusoidal and Exponential Functions (B1.4)
  • U1L20 Substituting and Evaluating Polynomial Functions (Part 1) (B1.5)
  • U1L21 Substituting and Evaluating Polynomial Functions (Part 2) (B1.5)
  • U1L22 Real-World Applications of Polynomial Functions (B1.6)
  • U1L23 Limitations of Polynomial Functions (B1.7)
  • U1L24 Restrictions on Domain and Range (B1.7)
  • Finish and Hand in MCT4C Unit 1 Assignment
  • MCT4C Unit 2 Overview
  • Accessibility to MCT4C Unit 2 Assignment
  • U2L1 Factoring Polynomial Expressions (Part 1) (B2.1)
  • U2L2 Factoring Polynomial Expressions (Part 2) (B2.1)
  • U2L3 Connections of Polynomial Functions (Part 1) (B2.2)
  • U2L4 Connections of Polynomial Functions (Part 2) (B2.2)
  • U2L5 Connecting Roots and X-Intercepts (Part 1) (B2.3)
  • U2L6 Connecting Roots and X-Intercepts (Part 2) (B2.3)
  • U2L7 Solving Polynomials With Strategies (Part 1) (B3.1)
  • U2L8 Solving Polynomials With Strategies (Part 2) (B3.1)
  • U2L9 Solving Polynomials Algebraically (Part 1) (B3.2)
  • U2L10 Solving Polynomials Algebraically (Part 2) (B3.2)
  • U2L11 Roles of Constants and Variables (Part 1) (B3.3)
  • U2L12 Roles of Constants and Variables (Part 2) (B3.3)
  • U2L13 Expanding and Simplifying Polynomial Expressions (Part 1) (B3.4)
  • U2L14 Expanding and Simplifying Polynomial Expressions (Part 2) (B3.4)
  • U2L15 Solving Equations Using Rational Exponents (Part 1) (B3.5)
  • U2L16 Solving Equations Using Rational Exponents (Part 2) (B3.5)
  • U2L17 Determining Value of a Variable of Degree (Part 1) (B3.6)
  • U2L18 Determining Value of a Variable of Degree (Part 2) (B3.6)
  • U2L19 Connections Between Functions (Part 1) (B3.7)
  • U2L20 Connections Between Functions (Part 2) (B3.7)
  • U2L21 Solving Multi-Step Polynomials (Part 1) (B3.8)
  • U2L22 Solving Multi-Step Polynomials (Part 2) (B3.8)
  • U2L23 Applications of Mathematical Models in Occupations (B3.9)
  • U2L24 College Programs that explore Mathematical Modelling (B3.9)
  • Finish and Hand in MCT4C Unit 2 Assignment
  • MCT4C Unit 2 Online Test
  • MCT4C Unit 3 Overview
  • Accessibility to MCT4C Unit 3 Assignment
  • U3L1 Angle Values of Trigonometric Ratios (C1.1)
  • U3L2 Investigating Angle Values (C1.2)
  • U3L3 Determining Measures of Two Angles (C1.3)
  • U3L4 Multi-Step Problems in Two Dimensions (C1.4)
  • U3L5 Multi-Step Problems in Three Dimensions (C1.4)
  • U3L6 Solving Oblique Triangle Problems (Part 1) (C1.5)
  • U3L7 Solving Oblique Triangle Problems (Part 2) (C1.5)
  • U3L8 Connecting Sine Ratio and Sine Functions (C2.1)
  • U3L9 Connecting Cosine Ratio and Cosine Function (C2.1)
  • U3L10 Sketching and Describing Sine and Cosine Functions (Part 1) (C2.2)
  • U3L11 Sketching and Describing Sine and Cosine Functions (Part 2) (C2.2)
  • U3L12 Roles of Paramters d and c (C2.3)
  • U3L13 Describing Roles of Parameters d and c in Transformations (C2.3)
  • U3L14 Roles of Parameters a and k (C2.4)
  • U3L15 Describing Roles of Parameters a and k in Transformations (C2.4)
  • U3L16 Determining Amplitude, Period, and Phase Shift (Part 1) (C2.5)
  • U3L17 Determining Amplitude, Period, and Phase Shift (Part 2) (C2.5)
  • U3L18 Representing a Sinusoidal Function (Part 1) (C2.6)
  • U3L19 Representing a Sinusoidal Function (Part 2) (C2.6)
  • U3L20 Collecting Data for Sinusoidal Functions (C3.1)
  • U3L21 Identifying Periodic and Sinusoidal Functions (Part 1) (C3.2)
  • U3L22 Identifying Periodic and Sinusoidal Functions (Part 2) (C3.2)
  • U3L23 Solving Sinusoidal Function Problems (Part 1) (C3.3)
  • U3L24 Solving Sinusoidal Function Problems (Part 2) (C3.3)
  • Finish and Hand in MCT4C Unit 3 Assignment
  • MCT4C Unit 4 Overview
  • Accessibility to MCT4C Unit 4 Assignment
  • U4L1 Recognizing Vectors (D1.1)
  • U4L2 Representing Vectors With Different Positions (D1.2)
  • U4L3 Resolving Vector (D1.3)
  • U4L4 Representing Vectors Given Its Vertical and Horizontal Components (Part 1) (D1.4)
  • U4L5 Representing Vectors Given Its Vertical and Horizontal Components (Part 2) (D1.4)
  • U4L6 Determining Sum or Difference of Two Vectors (Part 1) (D1.5)
  • U4L7 Determining Sum or Difference of Two Vectors (Part 2) (D1.5)
  • U4L8 Solving Real-World Applications of Vectors (Part 1) (D1.6)
  • U4L9 Solving Real-World Applications of Vectors (Part 2) (D1.6)
  • U4L10 Real-World Applications of Geometric Shapes and Figures (Part 1) (D2.1)
  • U4L11 Real-World Applications of Geometric Shapes and Figures (Part 2) (D2.1)
  • U4L12 Conversions of Imperial and Metric System (D2.2)
  • U4L13 Solving Real-World Applications of 2D Shapes (Part 1) (D2.3)
  • U4L14 Solving Real-World Applications of 2D Shapes (Part 2) (D2.3)
  • U4L15 Solving Real-World Applications of 3D Shapes (Part 1) (D2.4)
  • U4L16 Solving Real-World Applications of 3D Shapes (Part 2) (D2.4)
  • U4L17 Recognizing Real-World Applications of Circles (Part 1) (D3.1)
  • U4L18 Recognizing Real-World Applications of Circles (Part 2) (D3.1)
  • U4L19 Length of an Arc and Area of Segment of Circle (Part 1) (D3.2)
  • U4L20 Length of an Arc and Area of Segment of Circle (Part 2) (D3.2)
  • U4L21 Investigating Parts of a Circle (Part 1) (D3.3)
  • U4L22 Investigating Parts of a Circle(Part 2) (D3.3)
  • U4L23 Solving Real-World Applications of Circles (Part 1) (D3.4)
  • U4L24 Solving Real-World Applications of Circles (Part 2) (D3.4)
  • Finish and Hand in MCT4C Unit 4 Assignment
  • MCT4C Unit 4 Online Test
  • MCT4C Final Project
  • MCT4C Final Exam
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