Mathematics, science, and technology are increasingly a part of everyday life, and the study of these fields opens the door to a huge diversity of career opportunities. The Grade 12 Calculus and Vectors course is designed for those students who wish to pursue math-related fields such as science, engineering, technology and economics, or who will need to take Calculus, Algebra or Physics at the university level. As such, the Calculus course is offered at the university-preparation level.
In the Calculus and Vectors course, students will be expected to use the mathematical processes of:
- problem solving
- reasoning and proving
- reflecting and monitoring
- selecting appropriate computation strategies
- connecting and relating mathematical concepts
- representing the concepts
- communicating their thinking
The Ontario Curriculum of Mathematics at the secondary level notes that Calculus students will solve problems relating to the representations of vectors and representations of lines and planes in three-dimensional space. Additionally, they will build on their knowledge of rates and change in relation to derivatives of polynomial, sinusoidal, exponential, rational, and radical functions.
The Curriculum recognizes that in an increasing technological world, computer and hand-held technologies should play a role in the teaching and learning of Mathematics. In the Calculus course, students will be guided in the appropriate use of supporting technology while also focusing on their independent mastery of Calculus skills.
Throughout the course, Calculus students will have the opportunity to build and practice the skills necessary for their future success in the study of advanced mathematics.
An experienced tutor can help students improve their Calculus skills. To arrange a free, in-home consultation to determine the best plan for your Calculus student, click here.