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Grade 12 Math Courses - New Brunswick Curriculum

Discover diverse Grade 12 math options in NB, from Financial to Calculus. Choose your path based on interests and future goals, with courses designed to prepare you for post-secondary success.

Financial and Workplace Mathematics 120

Foundations 120

Pre-Calculus A 120

Pre-Calculus B 120

Calculus 120

NBCC Skilled Trades and Work-Ready Math 120

New Brunswick Grade 12 Math Curriculum

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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
Finding limits from graphs
Finding limits algebraically - direct substitution
Finding limits algebraically - when direct substitution is not possible
Difference quotient: applications of functions
Limit laws
Introduction to Calculus - Limits
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
Intermediate value theorem
Infinite limits - vertical asymptotes
Squeeze theorem
Definition of derivative
Higher order derivatives
l'Hospital's rule
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
Chain rule
Product rule
Quotient rule
Power rule
Derivative of trigonometric functions
NB.SCO.C120.C4
Find derivatives of trigonometric functions: Derive and apply derivatives of sine, cosine, and other trigonometric functions
Derivative of exponential functions
Derivative of logarithmic 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
Derivative of inverse trigonometric functions
Implicit differentiation
NB.SCO.C120.C6
Solve problems involving inverse trigonometric functions: Find and apply derivatives of inverse trigonometric functions
Finding inverse trigonometric function from its graph
Evaluating inverse trigonometric functions
Finding inverse reciprocal trigonometric function from its graph
Inverse reciprocal trigonometric function: finding the exact value
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
Exponential growth and decay by a factor
Exponential decay: Half-life
Exponential growth and decay by percentage
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
Slope and equation of tangent line
Limits at infinity - horizontal asymptotes
Critical number & maximum and minimum values
Linear approximation
Position velocity acceleration
Curve sketching
NB.SCO.C120.C9
Use calculus techniques to solve optimization problems: Apply derivatives to find maximum and minimum values in applied contexts
Optimization
Demand, revenue, cost & profit
Marginal revenue, and maximizing revenue & average revenue
Marginal cost, and minimizing cost & average cost
Marginal profit, and maximizing profit & average profit
NB.SCO.C120.C10
Use linearization to solve problems: Use linear approximations of functions to estimate function values near a point
Quadratic approximation
NB.SCO.C120.C11
Solve problems involving related rates: Apply implicit differentiation to solve problems with related changing quantities
Related rates
NB.SCO.C120.C12
Determine the definite integral of a function: Use Riemann sums and Fundamental Theorem of Calculus to evaluate definite integrals
Riemann sum
Fundamental theorem of calculus
Definite integral
NB.SCO.C120.C13
Determine the antiderivative of a function: Find indefinite integrals of various functions and apply integration techniques
Antiderivatives
U-Substitution
Trigonometric substitution
Integration by parts
Integration using trigonometric identities
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
Areas between curves
Volumes of solids of revolution - Disc method
Volumes of solid with known cross-sections
Volumes of solid of revolution - Shell method
Arc length
Average value of a function
Improper integrals

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