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Grade 12 Math Courses - New Brunswick Curriculum

Discover Grade 12 Math Foundations 120 in New Brunswick. This course covers advanced probability, statistics, and various functions, preparing students for post-secondary studies and practical applications.

Financial and Workplace Mathematics 120

Foundations 120

Pre-Calculus A 120

Pre-Calculus B 120

Calculus 120

NBCC Skilled Trades and Work-Ready Math 120

NB Grade 12 Math Curriculum - Foundations 120

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SCO_ID	Curriculum Outcome - Elaborations	StudyPug Topic
NB.SCO.F120.S1	Demonstrate an understanding of normal distribution, including standard deviation and z-scores: Analyze normal distribution, calculate standard deviation and z-scores	Spread of a data set - standard deviation & variance Measures of relative standing - z-score, quartiles, percentiles Introduction to normal distribution Normal distribution and continuous random variable Z-scores and random continuous variables Sampling distributions Central limit theorem Rare event rule

NB.SCO.F120.S2

Interpret statistical data, using confidence intervals, confidence levels, margin of error: Use confidence intervals, levels, and margin of error to interpret statistical data

Point estimates

Confidence levels and critical values

Margin of error

Making a confidence interval

Chi-Squared confidence intervals

Confidence intervals to estimate population mean

Student's t-distribution

NB.SCO.F120.LR1

Analyze puzzles and games that involve numerical and logical reasoning, using problem-solving strategies: Apply problem-solving strategies to analyze numerical and logical puzzles and games

Difference quotient: applications of functions

Evaluating piecewise functions

Graphing piecewise linear functions

Graphing piecewise non-linear functions

NB.SCO.F120.LR2

Solve problems that involve the application of set theory: Apply set theory concepts to solve problems

Set builder notation

Intersection and union of 2 sets

Intersection and union of 3 sets

NB.SCO.F120.LR3

Solve problems that involve conditional statements: Use conditional statements to solve logical problems

Inverse functions

Probability with Venn diagrams

NB.SCO.F120.P1

Interpret and assess the validity of odds and probability statements: Evaluate the validity of odds and probability statements

Continuous growth and decay

Addition rule for "OR"

Multiplication rule for "AND"

NB.SCO.F120.P2

Solve problems that involve the probability of mutually exclusive and non-mutually exclusive events: Calculate probabilities for mutually exclusive and non-mutually exclusive events

Conditional probability

Probability involving permutations and combinations

NB.SCO.F120.P3

Solve problems that involve the probability of two events: Determine probabilities involving two events

Law of total probability

NB.SCO.F120.P4

Solve problems that involve the fundamental counting principle: Apply the fundamental counting principle to solve probability problems

Fundamental counting principle

Factorial notation

Path counting problems

Introduction to sequences

Monotonic and bounded sequences

NB.SCO.F120.P5

Solve problems that involve permutations: Use permutations to solve probability problems

Permutation vs. Combination

NB.SCO.F120.P6

Solve problems that involve combinations: Apply combinations to solve probability problems

Problems involving both permutations and combinations

NB.SCO.F120.P7

Expand powers of a binomial using the binomial theorem: Use the binomial theorem to expand powers of binomials

Pascal's triangle

Binomial theorem

NB.SCO.F120.RF1

Represent data, using polynomial functions (of degree â‰¤ 3), to solve problems: Use polynomial functions up to degree 3 to represent data and solve problems

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

NB.SCO.F120.RF2

Represent data, using exponential and logarithmic functions, to solve problems: Apply exponential and logarithmic functions to represent data and solve problems

Solving logarithmic equations

Graphing exponential functions

Graphing transformations of exponential functions

Finding an exponential function given its graph

What is a logarithm?

Quotient rule of logarithms

Combining product rule and quotient rule in logarithms

Graphing logarithmic functions

Exponential growth and decay by a factor

Exponential decay: Half-life

Finance: Compound interest

Logarithmic scale: Richter scale (earthquake)

Logarithmic scale: pH scale

NB.SCO.F120.RF3

Represent data, using sinusoidal functions, to solve problems: Use sinusoidal functions to represent data and solve problems

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

Ferris wheel trig problems

Tides and water depth trig problems

Spring (simple harmonic motion) trig problems

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