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Grade 12 Introduction to Calculus learners will study four topics with specific content outcomes. They will demonstrate an understanding of the concept of the limit, and they will understand that limits can describe function values. Learners will develop a definition of the derivative as a slope of a curve at a point, develop and apply differentiation rules, demonstrate an understanding of implicit differentiation, and apply derivatives to solve problems. They will demonstrate an understanding of integration and of how derivatives and integrals are inversely related.
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Topic: Limits
1C.1.1. Demonstrate an understanding of the concept of the limit.
1C.1.2. Evaluate limits to analyze functions.
1C.1.3. Apply the concept of limit to the continuity of a function.
Topic: Derivatives
1C.2.1. Develop the definition of the derivative as the slope of a curve at a point.
1.C.2.2. Develop and apply differentiation rules.
1.C.2.3. Demonstrate an understanding of implicit differentiation.
Topic: Applications of Derivatives
1C.3.1. Apply derivatives to solve problems involving the motion of particles.
1C.3.2. Determine features of a function using derivatives to sketch the function accurately.
1C.3.3. Apply derivatives to solve optimization and related rates problems.
Topic: Integration (Integrals)
1C.4.1. Demonstrate an understanding of the relationship between anti-differentiation and integration of functions.
1C.4.2. Apply integration to solve problems.
1C.4.3. Demonstrate and apply an understanding of the definite integral.
Grade 12 – Curriculum Implementation Resources
Please note, this website is constantly evolving, so be sure to visit regularly to keep up to date with what's new in the Grade 12 – Curriculum Implementation Resources section.
