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Level 30

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
PC30.1	Sketch angles in standard position, convert between degrees and radians, determine coterminal angles	Angle in standard position Coterminal angles Reference angle Converting between degrees and radians Trigonometric ratios of angles in radians Radian measure and arc length

PC30.2

Derive circle equations, develop trigonometric ratios, solve problems using trigonometric ratios

Find the exact value of trigonometric ratios

ASTC rule in trigonometry (All Students Take Calculus)

Sine graph: y = sin x

Cosine graph: y = cos x

Tangent graph: y = tan x

Cotangent graph: y = cot x

Secant graph: y = sec x

Cosecant graph: y = csc x

PC30.3

Graph and analyze trigonometric functions, write equations for given graphs, solve situational questions

Graphing transformations of trigonometric functions

Determining trigonometric functions given their graphs

Ferris wheel trig problems

Tides and water depth trig problems

Spring (simple harmonic motion) trig problems

PC30.4

Solve trigonometric equations algebraically and with technology, analyze solutions

Solving first degree trigonometric equations

Solving second degree trigonometric equations

Solving trigonometric equations involving multiple angles

Solving trigonometric equations using pythagorean identities

Solving trigonometric equations using sum and difference identities

Solving trigonometric equations using double-angle identities

PC30.5

Verify and prove trigonometric identities, determine exact values using identities

Quotient identities and reciprocal identities

Pythagorean identities

Sum and difference identities

Double-angle identities

Determining non-permissible values for trig expressions

Cofunction identities

PC30.6

Perform operations on functions, determine domain and range, compose functions

Function notation (advanced)

Composite functions

Adding functions

Subtracting functions

Multiplying functions

Dividing functions

Operations with functions

Inequalities of combined functions

PC30.7

Analyze and sketch transformations of functions, write equations of transformed functions

Combining transformations of 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

Even and odd functions

PC30.8

Reflect functions, sketch inverse relations, determine restrictions for inverse functions

Inverse functions

Difference quotient: applications of functions

One to one 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

PC30.9

Solve exponential and logarithmic equations, analyze and graph exponential and logarithmic functions

Solving logarithmic equations

Graphing exponential functions

Graphing transformations of exponential functions

What is a logarithm?

Converting from exponential form to logarithmic form

Product rule of logarithms

Quotient rule of logarithms

Combining product rule and quotient rule in logarithms

Evaluating logarithms using logarithm rules

Graphing logarithmic functions

Finding a logarithmic function given its graph

Solving exponential equations using exponent rules

PC30.10

Perform polynomial division, apply factor and remainder theorems, analyze and graph polynomial functions

Polynomial long division

Polynomial synthetic division

Polynomial functions

Remainder theorem

Rational zero theorem

Characteristics of polynomial graphs

Determining the equation of a polynomial function

Applications of polynomial functions

Multiplicities of polynomials

Imaginary zeros of polynomials

Solving polynomial inequalities

Fundamental theorem of algebra

Descartes' rule of signs

PC30.11

Graph and analyze radical and rational functions, solve radical and rational equations

Radical functions and transformations

Square root of a function

Solving radical equations

What is a rational function?

Point of discontinuity

Slant asymptote

Solving rational equations

Solving rational inequalities

Basic radical functions

Vertical asymptote

Horizontal asymptote

Graphs of rational functions

PC30.12

Apply counting principles, calculate permutations and combinations

Fundamental counting principle

Factorial notation

Path counting problems

Problems involving both permutations and combinations

Permutation vs. Combination

PC30.13

Solve problems involving combinations, explore Pascal's triangle, expand binomials

Pascal's triangle

Binomial theorem

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