New BrunswickGrade 12
NB Grade 12 Calculus 120 Curriculum
Video lessons and practice for every Calculus 120 topic. Aligned to what New Brunswick schools teach. Master derivatives, limits, and integration at your own pace.
NB Grade 12 Calculus 120 Curriculum | StudyPugHelp
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 |