Mathematics

Course name: Mathematics for College Technology Course code: (MCT4C)

Grade: 12

Type: College Preparation

This resource enables Learners to extend their knowledge of functions. Learners 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. Learners will reason mathematically and communicate their thinking as they solve multi-step problems. This resource prepares Learners for a variety of college technology programs.

Grade: 12

Type: College Preparation

Prerequisites: None

This resource enables Learners to extend their knowledge of functions. Learners 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. Learners will reason mathematically and communicate their thinking as they solve multi-step problems. This resource prepares Learners for a variety of college technology programs.

These learning resources support both Teacher led instruction and independent study.

For independent study, Learners may engage in active notebook reflection whenever prompted to participate in Discussions, Partner Activities, or Quizzes. No assignments can be submitted to TVO for grading or credit.

Educators may refer to the For Teachers page for extra information.

These learning resources support both Teacher led instruction and independent study.

For independent study, Learners may engage in active notebook reflection whenever prompted to participate in Discussions, Partner Activities, or Quizzes. No assignments can be submitted to TVO for grading or credit.

Educators may refer to the For Teachers page for extra information.

20 Lessons

6 Lessons

1.1 Polynomial functions and their graphs

1.2 Graphs of polynomial functions

Course name: Mathematics for College Technology Course code: (MCT4C)

These learning resources support both Teacher led instruction and independent study.

These learning resources support both Teacher led instruction and independent study.

6 Lessons

1.1 Polynomial functions and their graphs

1.2 Graphs of polynomial functions

1.3 Polynomial functions in factored form

1.4 Polynomial formulas

1.5 Factoring polynomials

1.6 Solving problems with polynomials

4 Lessons

2.1 Exponential functions

2.2 Intersections and applications of exponential functions

2.3 Solving exponential equations

2.4 Logarithms

5 Lessons

3.1 Trigonometry and the Cartesian Plane

3.2 Two- and three-dimensional trigonometric applications

3.3 Introduction to sinusoidal functions

3.4 Transformations of sinusoidal functions

3.5 Applications of sinusoidal functions

5 Lessons

4.1 Vectors and their components

4.2 Adding and subtracting vectors

4.3 Area and volume

4.4 Circles and their properties

4.5 Applications of circle geometry

Course name: Mathematics for College Technology Course code: (MCT4C)

These learning resources support both Teacher led instruction and independent study.

These learning resources support both Teacher led instruction and independent study.

Unit 1 : Polynomial Functions 6 Lessons .chain-link{fill:#3d4649;} .icon-circle{fill:#e6e6e6;}

1.1 Polynomial functions and their graphs 1.1 Polynomial functions and their graphs

1.2 Graphs of polynomial functions 1.2 Graphs of polynomial functions

1.3 Polynomial functions in factored form 1.3 Polynomial functions in factored form

1.4 Polynomial formulas 1.4 Polynomial formulas

1.5 Factoring polynomials 1.5 Factoring polynomials

1.6 Solving problems with polynomials 1.6 Solving problems with polynomials

Unit 2 : Exponential Functions 4 Lessons .chain-link{fill:#3d4649;} .icon-circle{fill:#e6e6e6;}

2.1 Exponential functions 2.1 Exponential functions

2.2 Intersections and applications of exponential functions 2.2 Intersections and applications of exponential functions

2.3 Solving exponential equations 2.3 Solving exponential equations

2.4 Logarithms 2.4 Logarithms

Unit 3 : Trigonometric Functions 5 Lessons .chain-link{fill:#3d4649;} .icon-circle{fill:#e6e6e6;}

3.1 Trigonometry and the Cartesian Plane 3.1 Trigonometry and the Cartesian Plane

3.2 Two- and three-dimensional trigonometric applications 3.2 Two- and three-dimensional trigonometric applications

3.3 Introduction to sinusoidal functions 3.3 Introduction to sinusoidal functions

3.4 Transformations of sinusoidal functions 3.4 Transformations of sinusoidal functions

3.5 Applications of sinusoidal functions 3.5 Applications of sinusoidal functions

Unit 4 : Applications of Geometry 5 Lessons .chain-link{fill:#3d4649;} .icon-circle{fill:#e6e6e6;}

4.1 Vectors and their components 4.1 Vectors and their components

4.2 Adding and subtracting vectors 4.2 Adding and subtracting vectors

4.3 Area and volume 4.3 Area and volume

4.4 Circles and their properties 4.4 Circles and their properties

4.5 Applications of circle geometry 4.5 Applications of circle geometry

6 Lessons

1.1 Polynomial functions and their graphs

1.2 Graphs of polynomial functions

1.3 Polynomial functions in factored form

1.4 Polynomial formulas

1.5 Factoring polynomials

1.6 Solving problems with polynomials

4 Lessons

2.1 Exponential functions

2.2 Intersections and applications of exponential functions

2.3 Solving exponential equations

2.4 Logarithms

5 Lessons

3.1 Trigonometry and the Cartesian Plane

3.2 Two- and three-dimensional trigonometric applications

3.3 Introduction to sinusoidal functions

3.4 Transformations of sinusoidal functions

3.5 Applications of sinusoidal functions

5 Lessons

4.1 Vectors and their components

4.2 Adding and subtracting vectors

4.3 Area and volume

4.4 Circles and their properties

4.5 Applications of circle geometry