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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.3200RF1	Relations and Functions: Compare and sketch graphs of functions with vertical and horizontal translations	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

NL.SO.3200RF2

Relations and Functions: Compare and sketch graphs of functions with vertical and horizontal stretches

Combining transformations of functions

NL.SO.3200RF3

Relations and Functions: Sketch and write equations for transformed functions

Determining trigonometric functions given their graphs

NL.SO.3200RF4

Relations and Functions: Analyze reflections of functions and their graphs

Even and odd functions

NL.SO.3200RF5

Relations and Functions: Determine and analyze inverse relations and functions

Inverse functions

One to one functions

NL.SO.3200RF6

Relations and Functions: Explain and evaluate logarithms

What is a logarithm?

Converting from logarithmic form to exponential form

Evaluating logarithms without a calculator

Common logarithms

Natural log: ln

NL.SO.3200RF7

Relations and Functions: Develop and apply laws of logarithms

Product rule of logarithms

Quotient rule of logarithms

Combining product rule and quotient rule in logarithms

Evaluating logarithms using logarithm rules

NL.SO.3200RF8

Relations and Functions: Analyze and graph exponential and logarithmic functions

Graphing exponential functions

Graphing transformations of exponential functions

Graphing logarithmic functions

Finding a logarithmic function given its graph

NL.SO.3200RF9

Relations and Functions: Solve exponential and logarithmic equations and problems

Solving logarithmic equations

Solving exponential equations with logarithms

Exponential growth and decay by a factor

Exponential decay: Half-life

Exponential growth and decay by percentage

Finance: Compound interest

Continuous growth and decay

Logarithmic scale: Richter scale (earthquake)

Logarithmic scale: pH scale

Logarithmic scale: dB scale

Finance: Future value and present value

Solving exponential equations using exponent rules

NL.SO.3200RF10

Relations and Functions: Apply division algorithms and factor theorem to polynomial functions

Polynomial long division

Polynomial synthetic division

Polynomial functions

Remainder theorem

Rational zero theorem

Factor by taking out the greatest common factor

Factor by grouping

NL.SO.3200RF11

Relations and Functions: Analyze and graph polynomial functions

Characteristics of polynomial graphs

Determining the equation of a polynomial function

Multiplicities of polynomials

Imaginary zeros of polynomials

Curve sketching

NL.SO.3200RF12

Relations and Functions: Analyze and graph radical functions and solve related equations

Radical functions and transformations

Square root of a function

Solving radical equations

Basic radical functions

NL.SO.3200T1

Trigonometry: Understand and apply radian measure of 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

NL.SO.3200T2

Trigonometry: Derive and apply equations of the unit circle

NL.SO.3200T3

Trigonometry: Determine exact values of trigonometric ratios and solve related problems

Find the exact value of trigonometric ratios

ASTC rule in trigonometry (All Students Take Calculus)

Angle of elevation and depression

NL.SO.3200T4

Trigonometry: Analyze and graph trigonometric functions

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

Graphing transformations of trigonometric functions

NL.SO.3200T5

Trigonometry: Solve trigonometric equations

Solving first degree trigonometric equations

Solving second degree trigonometric equations

Solving trigonometric equations involving multiple angles

NL.SO.3200T6

Trigonometry: Prove and apply trigonometric identities

Quotient identities and reciprocal identities

Pythagorean identities

Sum and difference identities

Double-angle identities

Solving trigonometric equations using pythagorean identities

Solving trigonometric equations using sum and difference identities

Solving trigonometric equations using double-angle identities

Cofunction identities

NL.SO.3200PCBT1

Permutations Combinations and the Binomial Theorem: Apply fundamental counting principle

Fundamental counting principle

NL.SO.3200PCBT2

Permutations Combinations and the Binomial Theorem: Solve problems involving permutations

Factorial notation

NL.SO.3200PCBT3

Permutations Combinations and the Binomial Theorem: Solve problems involving combinations

Problems involving both permutations and combinations

NL.SO.3200PCBT4

Permutations Combinations and the Binomial Theorem: Apply binomial theorem to expand expressions and determine specific terms

Pascal's triangle

Binomial theorem

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