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MBF3C Foundations for College Mathematics – GRADE 11

PREREQUISITE : Foundations of Mathematics, Grade 10, Applied

GRADE : 11 (College)


MBF3C online at Profectus enables students to broaden their understanding of mathematics as a problem solving tool in the real world. Students will extend their understanding of quadratic relations; investigate situations involving exponential growth; solve problems involving compound interest; solve financial problems connected with vehicle ownership; develop their ability to reason by collecting, analysing, and evaluating data involving one variable; connect probability and statistics; and solve problems in geometry and trigonometry. In MBF3C online, students will consolidate their mathematical skills as they solve problems and communicate their thinking.

UNIT 1 :

Mathematical Models (22hrs)

Students will be able to:

  • Make connections between the numeric, graphical, and algebraic representations of quadratic relations, and use the connections to solve problems.
  • Demonstrate an understanding of exponents, and make connections between the numeric, graphical, and algebraic representations of exponential relations.
  • Describe and represent exponential relations, and solve problems involving exponential relations arising from real-world applications.

UNIT 2 :

Personal Finance (22hrs)

Students will be able to:

  • Compare simple and compound interest, relate compound interest to exponential growth, and solve problems involving compound interest.
  • Compare services available from financial institutions, and solve problems involving the cost of making purchases on credit.
  • Interpret information about owning and operating a vehicle, and solve problems involving the associated costs.

UNIT 3 :

Geometry and Trigonometry (22hrs)

Students will be able to:

  • Represent, in a variety of ways, two-dimensional shapes and three-dimensional figures arising from real-world applications, and solve design problems.
  • Solve problems involving trigonometry in acute triangles using the sine law and the cosine law, including problems arising from real-world applications.

UNIT 4 :

Data Management (22hrs)

Students will be able to:

  • Solve problems involving one-variable data by collecting, organizing, analysing, and evaluating data.
  • Determine and represent probability, and identify and interpret its applications.


Course Culmination (22hrs)

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

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.