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Grade 12 Math Courses - Newfoundland Curriculum

Discover Newfoundland's Grade 12 math courses, offering advanced, academic, and applied options. Prepare for university-level studies with our comprehensive curriculum aligned with provincial standards.

Advanced Mathematics 3200

Academic Mathematics 3201

Applied Mathematics 3202

Calculus 3208

Newfoundland Grade 12 Math Curriculum - Advanced Courses

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SO_ID
Outcome
StudyPug Topic
NL.SO.3208RF1
Relations and Functions: Write function h(x) as sum, difference, product or quotient of functions. Sketch graph and determine domain and range of combined functions.
Composite functions
Adding functions
Subtracting functions
Multiplying functions
Dividing functions
Operations with functions
Inequalities of combined functions
NL.SO.3208RF2
Relations and Functions: Explain behavior of rational function graph near non-permissible values. Determine asymptotes or holes. Sketch rational function graphs.
What is a rational function?
Point of discontinuity
Slant asymptote
Solving rational equations
Solving rational inequalities
Vertical asymptote
Horizontal asymptote
Graphs of rational functions
NL.SO.3208C1
Calculus Reasoning: Explore limits, evaluate using graphs and tables. Apply limit properties. Determine infinite limits and end behavior of functions.
Finding limits from graphs
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
Limit laws
Introduction to Calculus - Limits
NL.SO.3208C2
Calculus Reasoning: Distinguish continuity and discontinuity. Identify types of discontinuities. Determine function continuity at points and intervals.
Intermediate value theorem
Continuity
NL.SO.3208C3
Calculus Reasoning: Define and evaluate derivatives using limit definition. Determine differentiability and explain non-differentiable points. Sketch derivative graphs.
Slope and equation of tangent line
Definition of derivative
Estimating Derivatives from a table
NL.SO.3208C4
Calculus Reasoning: Derive and apply derivative rules. Determine higher-order derivatives. Solve problems involving tangent lines and rates of change.
Chain rule
Product rule
Quotient rule
Power rule
Higher order derivatives
NL.SO.3208C5
Calculus Reasoning: Determine derivatives of implicit relations. Find equations of tangent and normal lines. Calculate second derivatives using implicit differentiation.
Implicit differentiation
NL.SO.3208C6
Calculus Reasoning: Use derivatives to identify critical points, extrema, intervals of increase/decrease, concavity. Sketch function graphs using derivative information.
Critical number & maximum and minimum values
Curve sketching
NL.SO.3208C8
Calculus Reasoning: Solve and interpret related rates problems from various applications.
Related rates
NL.SO.3208C9
Calculus Reasoning: Solve optimization problems from various applications using calculus techniques. Interpret solutions.
Optimization
NL.SO.3208C11
Calculus Reasoning: Derive derivatives of trigonometric functions. Determine derivatives of expressions involving trigonometric functions.
Derivative of trigonometric functions
Position velocity acceleration
NL.SO.3208C12
Calculus Reasoning: Explain inverse trigonometric functions. Derive and determine derivatives of inverse trigonometric functions.
Derivative 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
NL.SO.3208C13
Calculus Reasoning: Analyze exponential and logarithmic functions. Derive and determine derivatives of exponential, logarithmic, and hyperbolic functions.
Derivative of exponential functions
Derivative of logarithmic functions
NL.SO.3208C14
Calculus Reasoning: Find antiderivatives of functions. Use antidifferentiation to solve motion problems.
Antiderivatives
U-Substitution
NL.SO.3208C15
Calculus Reasoning: Estimate areas using Riemann sums. Determine areas under curves and between functions using definite integrals.
Areas between curves
Riemann sum
Fundamental theorem of calculus
Definite integral

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