Mathematics for College Technology: MCT4C (Grade 12, College Preparation)

Availability
Semester 2
Credit Value
1.0

This course will have students work with new and familiar functions in order to solve problems and build critical thinking skills. Some of these functions include polynomial, exponential, and trigonometric functions. There is also a large focus on trigonometry, measurement, and vectors. Throughout all of these topics, students will practice solving equations, algebra skills, and graphing. Students will use computer programs such as Desmos to complete lessons, assignments, and evaluations. This course prepares students for a variety of college programs. It is also a prerequisite for Grade 12 Advanced Functions (MHFU) for students who do not have Grade 11 University Math (MCR3U).

This course has 6 units as described below, and each unit has 5 to 7 lessons. There is a CPT and a final examination. MCT4C is based on Mathematics, The Ontario Curriculum, Grades 11 and 12, Ministry of Education, Revised 2007.

Unit 1: Trigonometry

  • Lesson 1 – Special angles
  • Lesson 2 – CAST Rule
  • Lesson 3 – Problem solving with primary trig ratios
  • Lesson 4 – Ambiguous case of sine law, and cosine law
  • Lesson 5 – Review and problem solving

Unit 2: Sinusoidal Functions

  • Lesson 1 – Graphs of sinx and cosx
  • Lesson 2 – Translations of graphs of sinx and cosx
  • Lesson 3 – Transformations Part 1
  • Lesson 4 – Transformations Part 2
  • Lesson 5 – Representing sinusoidal functions
  • Lesson 6 – Problem solving with sinusoidal functions

Unit 3: Vectors

  • Lesson 1 – Introduction to vectors
  • Lesson 2 – Components of vectors
  • Lesson 3 – Vector addition (3 parts)
  • Lesson 4 – Vector subtraction
  • Lesson 5 – Problem Solving with vectors

Unit 4: Exponential Functions

  • Lesson 1 – Exponent Laws (2 parts)
  • Lesson 2 – Graphing and solving exponential functions
  • Lesson 3 – Solving exponential functions numerically
  • Lesson 4 – Points of Intersection of exponential graphs
  • Lesson 5 – Logarithms
  • Lesson 6 – Problem solving with exponential and logarithmic functions

Unit 5: Polynomial Functions

  • Lesson 1 – Identifying key features of polynomial functions
  • Lesson 2 – More features of polynomial functions
  • Lesson 3 – Comparing polynomial functions
  • Lesson 4 – Getting ready to factor polynomials
  • Lesson 5 – Factoring (2 parts)
  • Lesson 6 – Evaluating polynomial functions
  • Lesson 7 – Problem solving with polynomial functions

Unit 6: Measurement

  • Lesson 1 – Getting ready (review of basic formulas)
  • Lesson 2 – Solving measurement problems
  • Lesson 3 – Properties of circles
  • Lesson 4 – Area segments of circles
  • Lesson 5 – Review and problem solving

CPT and Final Exam