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

Availability
Semester 1, Semester 2
Prerequisite
Functions and Applications, Grade 11, University/College Preparation
Credit Value
1.0
Required Text
  • A textbook is not required for the course

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.

MCT4C is based on Mathematics, The Ontario Curriculum, Grades 11 and 12, Ministry of Education, Revised 2007. It is comprised of 7 units, each of which has from five to 7 activities (lessons and assignments). The first 6 units are term work; the final unit is the culminating task.

Unit 1: Exponential Functions

Activity 1
Review of Prerequisite Skills
Activity 2
What’s My Sign?
Activity 3
Solving Exponential Equations Graphically
Activity 4
How does this apply to me?
Activity 5
Solving Exponential Equations
Activity 6
On a Roll
Activity 7
Summative Assignment and Unit Test

Unit 2: Polynomial Functions

Activity 1
Review of Prerequisite Skills
Activity 2
Key Properties of Polynomial Functions
Activity 3
Investigating Factors and Graphs of Polynomial Functions
Activity 4
Applications of Polynomial Functions
Activity 5
Connecting Equations and Graphs of Polynomial Functions
Activity 6
Polynomial Concentration
Activity 7
Summative Assessment

Unit 3: Polynomial Equations

Activity 1
Solving Equations Review
Activity 2
Solving Polynomial Equations Algebraically
Activity 3
Applications of Polynomial Equations
Activity 4
Working with Formulas
Activity 5
More Applications Involving Variables
Activity 6
Summative Assessment

Unit 4: Trigonometric Functions

Activity 1
Review Activity
Activity 2
You Have Come Full Circle!
Activity 3
Sine, Sine, Cosine, Sine, 3.14159!
Activity 4
On the Move!
Activity 5
Putting it All Together
Activity 6
Summative Assessment

Unit 5: Applications of Trig Ratios and Vectors

Activity 1
Review
Activity 2
Trig, Trig Everywhere?
Activity 3
Vectors, Vectors Everywhere?
Activity 4
We Have A Breakdown Here!
Activity 5
What’s Up Vec?
Activity 6
Summative Assignment

Unit 6: Measurement and Geometry

Activity 1
Measurement Review
Activity 2
Problem Solving – Area
Activity 3
Problem Solving – Surface Area and Volume
Activity 4
Geometry Review
Activity 5
Circle Geometry Theorems
Activity 6
Arcs and Sectors
Activity 7
Summative Assessment

Unit 7: Summative Unit

Activity 1
Review
Activity 2
Summative Task
Activity 3
Final Exam