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Grade 12 Math Courses - BC Curriculum

Discover BC's Grade 12 math options: Foundations, Geometry, Pre-Calculus, Calculus, and Statistics. Prepare for post-secondary education and future careers with these advanced courses tailored to diverse learning paths.

Foundations 12

Geometry 12

Pre-Calculus 12

Calculus 12

Statistics 12

BC Grade 12 Math Curriculum - Advanced Math Courses

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Content-Elaborations
StudyPug Topic
BC.CE.CA12.1
Functions and graphs: Parent functions from Pre-calculus 12, piecewise functions, inverse trigonometric functions
Function notation (advanced)
Composite functions
Combining transformations of functions
Adding functions
Subtracting functions
Multiplying functions
Dividing functions
Inverse functions
Transformations of functions: Horizontal translations
Transformations of functions: Vertical translations
Reflection across the y-axis: y = f(-x)
Reflection across the x-axis: y = -f(x)
Transformations of functions: Horizontal stretches
Transformations of functions: Vertical stretches
Operations with functions
Even and odd functions
Difference quotient: applications of functions
One to one functions
BC.CE.CA12.2
Limits: Left and right limits, limits to infinity, continuity, from table of values, graphically, and algebraically, one-sided versus two-sided, end behaviour
Intermediate value theorem
Finding limits from graphs
Continuity
Finding limits algebraically - direct substitution
Finding limits algebraically - when direct substitution is not possible
Infinite limits - vertical asymptotes
Limits at infinity - horizontal asymptotes
Squeeze theorem
l'Hospital's rule
Limit laws
Introduction to Calculus - Limits
BC.CE.CA12.3
Differentiation: Definition of derivative, notation, rate of change, differentiation rules, applications
Slope and equation of tangent line
Chain rule
Product rule
Quotient rule
Derivative of inverse trigonometric functions
Definition of derivative
Power rule
Derivative of trigonometric functions
Derivative of exponential functions
Derivative of logarithmic functions
Implicit differentiation
Mean value theorem
Critical number & maximum and minimum values
Linear approximation
Optimization
Position velocity acceleration
Curve sketching
Related rates
Higher order derivatives
Estimating Derivatives from a table
BC.CE.CA12.4
Integration: Definition of an integral, notation, definite and indefinite integrals, approximations, fundamental theorem of calculus, methods of integration, applications
Antiderivatives
U-Substitution
Trigonometric substitution
Areas between curves
Integration of rational functions by partial fractions
Volumes of solids of revolution - Disc method
Volumes of solid with known cross-sections
Volumes of solid of revolution - Shell method
Average value of a function
Riemann sum
Fundamental theorem of calculus
Improper integrals
Integration by parts
Integration using trigonometric identities
Definite integral
Numerical integration

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