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Grade 12 Math Courses - NL Curriculum

Discover Academic Mathematics 3201 for Grade 12 in Newfoundland and Labrador. This course offers advanced mathematical concepts, preparing students for post-secondary education and future careers.

Advanced Mathematics 3200

Academic Mathematics 3201

Applied Mathematics 3202

Calculus 3208

NL Grade 12 Math Curriculum - Academic Mathematics 3201

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SO_ID	Outcome	StudyPug Topic
NL.SO.3201LR1	Logical Reasoning: Determine and explain strategies for puzzles and games, identify and correct errors, create variations	Fundamental counting principle Factorial notation Path counting problems Permutations Combinations Problems involving both permutations and combinations Pascal's triangle Binomial theorem

NL.SO.3201LR2

Logical Reasoning: Analyze and apply set theory concepts, use Venn diagrams, solve problems involving sets

Reading and drawing Venn diagrams

Probability with Venn diagrams

Set builder notation

Intersection and union of 2 sets

Intersection and union of 3 sets

NL.SO.3201P1

Probability: Understand and apply concepts of probability and odds in various contexts

Introduction to probability

Organizing outcomes

Probability of independent events

Comparing experimental and theoretical probability

NL.SO.3201P2

Probability: Classify and analyze mutually exclusive and non-mutually exclusive events, solve related problems

Addition rule for "OR"

Multiplication rule for "AND"

Conditional probability

Probability involving permutations and combinations

NL.SO.3201P3

Probability: Compare dependent and independent events, determine probabilities of combined events

Law of total probability

NL.SO.3201P5

Probability: Use factorial notation, calculate permutations, solve related probability problems

Permutation vs. Combination

NL.SO.3201RF1

Relations and Functions: Simplify and analyze rational expressions, determine non-permissible values

Simplifying rational expressions and restrictions

Adding and subtracting rational expressions

Multiplying rational expressions

Dividing rational expressions

NL.SO.3201RF2

Relations and Functions: Perform operations on rational expressions, determine non-permissible values

Simplifying complex fractions

Partial fraction decomposition

NL.SO.3201RF3

Relations and Functions: Solve rational equations, determine non-permissible values, apply to contextual problems

Solving rational equations

Solving rational inequalities

Applications of rational equations

NL.SO.3201RF4

Relations and Functions: Convert between logarithmic and exponential forms, apply laws of logarithms

What is a logarithm?

Converting from logarithmic form to exponential form

Evaluating logarithms without a calculator

Common logarithms

Natural log: ln

Evaluating logarithms using change-of-base formula

Converting from exponential form to logarithmic form

Solving exponential equations with logarithms

Product rule of logarithms

Quotient rule of logarithms

Combining product rule and quotient rule in logarithms

Evaluating logarithms using logarithm rules

NL.SO.3201RF5

Relations and Functions: Solve exponential and logarithmic equations, apply to real-world problems

Solving logarithmic equations

Logarithmic scale: Richter scale (earthquake)

Logarithmic scale: pH scale

Logarithmic scale: dB scale

Solving exponential equations using exponent rules

NL.SO.3201RF6

Relations and Functions: Analyze and graph exponential and logarithmic functions, interpret in context

Graphing exponential functions

Graphing transformations of exponential functions

Finding an exponential function given its graph

Graphing logarithmic functions

Exponential growth and decay by a factor

Exponential decay: Half-life

Exponential growth and decay by percentage

Finance: Compound interest

Continuous growth and decay

Finding a logarithmic function given its graph

NL.SO.3201RF7

Relations and Functions: Analyze and graph polynomial functions, interpret in context

Polynomial functions

Determining the equation of a polynomial function

Applications of polynomial functions

Solving polynomial inequalities

Curve sketching

Fundamental theorem of algebra

Descartes' rule of signs

NL.SO.3201RF8

Relations and Functions: Analyze and graph sinusoidal functions, interpret in context

Angle in standard position

Coterminal angles

Reference angle

Find the exact value of trigonometric ratios

ASTC rule in trigonometry (All Students Take Calculus)

Converting between degrees and radians

Trigonometric ratios of angles in radians

Radian measure and arc length

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

Determining trigonometric functions given their graphs

NL.SO.3201F1

Financial Mathematics: Analyze and apply compound interest concepts, compare loan options

Finance: Future value and present value

NL.SO.3201F2

Financial Mathematics: Analyze asset appreciation and depreciation, compare renting, leasing, and buying options

Taxes, discounts, tips and more

Simple interest

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