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Level 30 Math Courses - Saskatchewan Curriculum

Discover Saskatchewan's Level 30 math options: Workplace, Foundations, Pre-calculus, and Calculus. Each course offers unique pathways for academic and career goals, tailored to diverse student needs and abilities.

Workplace and Apprenticeship Mathematics 30

Foundations of Mathematics 30

Pre-calculus 30

Calculus 30

Saskatchewan Level 30 Math Curriculum - Advanced Courses

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SO_ID
Outcome
StudyPug Topic
C30.1
Identify functions as algebraic, transcendental, piecewise from graphs and equations
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
One to one functions
C30.2
Extend factoring to include negative and rational exponents, solve inequalities with rational expressions
Solving rational equations
Factor by taking out the greatest common factor
Factor by grouping
Factoring difference of squares: x2−y2x^2 - y^2x2−y2
Factoring trinomials
Simplifying rational expressions and restrictions
Adding and subtracting rational expressions
Multiplying rational expressions
Dividing rational expressions
Applications of rational equations
Graphing reciprocals of linear functions
Simplifying complex fractions
Graphing reciprocals of quadratic functions
Factoring difference of cubes
Factoring sum of cubes
Partial fraction decomposition
C30.3
Develop meaning of limit, determine limit values, analyze continuity
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
C30.4
Develop definition of derivative, apply differentiation rules, determine tangent lines
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
Higher order derivatives
Estimating Derivatives from a table
C30.5
Use derivatives to determine critical points, extrema, and sketch function graphs
Critical number & maximum and minimum values
Optimization
Position velocity acceleration
Curve sketching
C30.6
Solve optimization, rate of change, and related rates problems
Mean value theorem
Linear approximation
Related rates
C30.7
Develop derivatives of exponential, logarithmic, trigonometric functions, apply to sketching
Continuous growth and decay
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
Elasticity of demand
C30.8
Distinguish between indefinite and definite integration, apply Fundamental Theorem of Calculus
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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