MCF3M Functions and Applications – GRADE 11

PREREQUISITE : Principles of Mathematics, Grade 10, Academic, or Foundations of Mathematics, Grade 10, Applied

GRADE : 11 (University/College)

THE ONTARIO CURRICULUM : Mathematics

MCF3M online at Profectus course introduces basic features of the function by extending students’ experiences with quadratic relations. It focuses on quadratic, trigonometric, and exponential functions and their use in modelling real-world situations. In MCF3M online, students will represent functions numerically, graphically, and algebraically; simplify expressions; solve equations; and solve problems relating to applications. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

UNIT 1 :

Quadratic Functions (27.5hrs)

Students will be able to:

Expand and simplify quadratic expressions, solve quadratic equations, and relate the roots of a Quadratic equation to the corresponding graph.
Demonstrate an understanding of functions, and make connections between the numeric, graphical and algebraic representations of quadratic functions.
Solve problems involving quadratic functions, including problems arising from real-world applications.

UNIT 2 :

Exponential Functions (27.5hrs)

Students will be able to:

Simplify and evaluate numerical expressions involving exponents, and make connections between.
The numeric, graphical, and algebraic representations of exponential functions.
Identify and represent exponential functions, and solve problems involving exponential functions.
Including problems arising from real-world applications.
Demonstrate an understanding of compound interest and annuities, and solve related problems.

UNIT 3 :

Trigonometric Functions (27.5hrs)

Students will be able to:

Solve problems involving trigonometry in acute triangles using the sine law and the cosine law.
Including problems arising from real-world applications.
Demonstrate an understanding of periodic relationships and the sine function, and make connections.
Between the numeric, graphical, and algebraic representations of sine functions.
Identify and represent sine functions, and solve problems involving sine functions, including.
Problems arising from real-world applications.

FINAL 30%

Course Culmination (27.5hrs)

The Culminating Unit incorporates all four strands of the Mathematics Curriculum, and covers the four achievement chart categories. It consists of two parts:

Culminating Project worth 15% and a
Final Exam worth 15%

Online Course Policies

Listed below are various mandatory policies as you take on this course.

Attendance is regularly tracked through student contributions to online discussion boards, assignment completion, and learning logs. Failure to complete allocated activities may challenge the student’s ability to attain the credit.
This course will be presented using an asynchronistic model whereby work will be posted on the Google Classroom and it is the student’s responsibility to complete it on their own time.
ALL portions of this course are intended to be learned and completed online.
Final Exams and Tests will be written on site at Profectus Academy of Toronto. Course instructors will relay this information to students and families.
The integrity of student work will be checked on an ongoing basis using Quetext or Turnitin. Plagiarism is not tolerated.

Assessment & Evaluation Policies

The primary purpose of assessment and evaluation is to improve student learning. The Achievement Chart for Mathematics will guide all assessment and evaluation.

Knowledge and Understanding

17.5%

Thinking

17.5%

Communication

17.5%

Application

17.5%

The final grade will be determined as follows:

70% based on Assessment OF Learning (including conversations, observations and products) conducted throughout the course.
30% based on Culminating Tasks administered at or towards the end of the course.

Assessment and evaluation is divided into two important parts. The grade the student receives on a midterm or final report indicates achievement/ proficiency in Curriculum Expectations. A level of competence (Needs Improvement, Satisfactory, Good or Excellent) will be assessed and reported in the area of Learning Skills and Work Habits: Independent Work, Collaboration, Responsibility, Initiative, Self-Regulation, and Organization.