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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.
The Guiding Principles of Designing Learning Experiences and Assessment Practices in the French Immersion program provide guidance to all Manitoba educators as they design learning experiences and classroom assessments to strengthen, extend and expand student learning. Planning with the learner, the context, and the curricula in mind creates opportunities for the co-construction of inclusive learning experiences and assessment practices where the diverse learning needs, abilities and interests of each learner are met.
Assessment for and as learning involve learners in the process and support learner reflection; assessment of learning (commonly known as summative evaluation) measures final outcomes. All aspects, when done well, contribute to informed teaching and reliable judgment of learner progress.
The Guiding Principles for Evaluation and Reporting are currently still under development and not yet available. When completed, a notification will be added to the Manitoba Framework for Learning “What’s New?” page on the website.
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 Pre-Calculus Mathematics - Curriculum Implementation Resources: Web Pages
Grade 12 Pre-Calculus Mathematics - Curriculum Implementation Resources: Multimedia
Grade 12 Pre-Calculus Mathematics - Curriculum Implementation Resources: Documents
