Foundations for College Mathematics
Ministry of Education Course Title: Mathematics, Grade 11, College
Course Code: MBF3C
Grade Level: 11
Prerequisite: Foundations of Mathematics, Grade 10, Applied
This course 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. Students will consolidate their mathematical skills as they solve problems and communicate their thinking.
Total Time: 110 hours
Unit 1 Mathematical Models
- 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
- 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
- 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
- solve problems involving one-variable data by collecting, organizing, analysing, and evaluating data;
- determine and represent probability, and identify and interpret its applications.