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Grade 12

Grade 12 Math Courses - New Brunswick Curriculum

Discover New Brunswick's Grade 12 Calculus 120 courses, designed to prepare students for advanced mathematical concepts and university-level studies in STEM fields.

New Brunswick Grade 12 Math Curriculum - Calculus 120Help

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Curriculum Outcome - Elaborations

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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.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