New Brunswick
Math
Discover New Brunswick's Grade 12 Calculus 120 course, designed to prepare students for advanced mathematical concepts and university-level studies in STEM fields.
SCO_ID | Curriculum Outcome - Elaborations | StudyPug Topic |
---|---|---|
NB.SCO.C120.C1 | Explore the concepts of average and instantaneous rate of change: Determine average rate of change and instantaneous rate of change of a function |
NB.SCO.C120.C2 | Determine the derivative of a function by applying the definition of derivative: Use limit definition to find derivative and explore non-differentiable functions |
NB.SCO.C120.C3 | Apply derivative rules to determine the derivative of a function: Apply Constant, Power, Constant Multiple, Sum, Difference, Product, and Quotient Rules |
NB.SCO.C120.C4 | Find derivatives of trigonometric functions: Derive and apply derivatives of sine, cosine, and other trigonometric functions |
NB.SCO.C120.C5 | Apply the Chain Rule to determine the derivative of a function: Use Chain Rule for composite functions and implicit differentiation |
NB.SCO.C120.C6 | Solve problems involving inverse trigonometric functions: Find and apply derivatives of inverse trigonometric functions |
NB.SCO.C120.C7 | Find limits and derivatives of exponential and logarithmic functions: Establish exponential limit, find derivatives, and apply to growth and decay problems |
NB.SCO.C120.C8 | Use calculus techniques to sketch the graph of a function: Determine critical points, intervals, concavity, and asymptotic behavior to sketch graphs |
NB.SCO.C120.C9 | Use calculus techniques to solve optimization problems: Apply derivatives to find maximum and minimum values in applied contexts |
NB.SCO.C120.C10 | Use linearization to solve problems: Use linear approximations of functions to estimate function values near a point |
NB.SCO.C120.C11 | Solve problems involving related rates: Apply implicit differentiation to solve problems with related changing quantities |
NB.SCO.C120.C12 | Determine the definite integral of a function: Use Riemann sums and Fundamental Theorem of Calculus to evaluate definite integrals |
NB.SCO.C120.C13 | Determine the antiderivative of a function: Find indefinite integrals of various functions and apply integration techniques |
NB.SCO.C120.C14 | Solve problems that involve the application of the integral of a function: Apply integration to solve problems involving area, volume, motion, and other applications |
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