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


Grade 12, College

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.

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

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

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