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Grade 12 Math Courses - New Brunswick Curriculum

Discover diverse Grade 12 math options in NB, from Financial to Calculus. Choose your path based on interests and future goals, with courses designed to prepare you for post-secondary success.

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

New Brunswick Grade 12 Math Curriculum

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SCO_ID
Curriculum Outcome - Elaborations
StudyPug Topic
NB.SCO.PCA120.RF1
Demonstrate understanding of effects of horizontal and vertical translations on graphs of functions and related equations: Apply translations to various function types and analyze resulting changes in graphs and equations
Combining transformations of functions
Transformations of functions: Horizontal translations
Transformations of functions: Vertical translations
NB.SCO.PCA120.RF2
Demonstrate understanding of effects of horizontal and vertical stretches on graphs of functions and related equations: Analyze how stretches affect function graphs and equations, including scale factors and reciprocals
Graphing reciprocals of linear functions
Transformations of functions: Horizontal stretches
Transformations of functions: Vertical stretches
NB.SCO.PCA120.RF3
Apply translations and stretches to graphs and equations of functions: Combine multiple transformations and determine their cumulative effects on functions
Graphs of rational functions
Graphing reciprocals of quadratic functions
NB.SCO.PCA120.RF4
Demonstrate understanding of effects of reflections on graphs of functions and related equations: Explore reflections across x-axis, y-axis, and y=x line, analyzing changes in function behavior
Reflection across the y-axis: y = f(-x)
Reflection across the x-axis: y = -f(x)
Even and odd functions
NB.SCO.PCA120.RF5
Demonstrate understanding of inverses of relations: Determine and graph inverse functions, analyze their properties and restrictions
Inverse functions
One to one functions
NB.SCO.PCA120.RF6
Graph and analyze radical functions involving one radical: Explore properties, domain, range, and transformations of radical functions
Radical functions and transformations
Square root of a function
Solving radical equations
Basic radical functions
NB.SCO.PCA120.RF7
Demonstrate understanding of exponential functions: Analyze properties, graphs, and applications of exponential functions
Graphing exponential functions
Graphing transformations of exponential functions
Finding an exponential function given its graph
NB.SCO.PCA120.RF8
Demonstrate understanding of logarithms: Explore properties, graphs, and applications of logarithmic functions
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
NB.SCO.PCA120.RF9
Graph and analyze exponential and logarithmic functions: Compare and contrast exponential and logarithmic functions, their inverses and applications
Graphing logarithmic functions
Finding a logarithmic function given its graph
NB.SCO.PCA120.RF10
Demonstrate understanding of product, quotient and power laws of logarithms: Apply logarithm laws to simplify expressions and solve equations
Quotient rule of logarithms
Combining product rule and quotient rule in logarithms
Evaluating logarithms using logarithm rules
NB.SCO.PCA120.RF11
Solve problems involving exponential and logarithmic equations: Apply various techniques to solve real-world problems using exponential and logarithmic equations
Solving logarithmic equations
Solving exponential equations with logarithms
Product rule of 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
NB.SCO.PCA120.T1
Demonstrate understanding of angles in standard position, expressed in degrees and radians: Convert between degrees and radians, work with angles in standard position
Angle in standard position
Coterminal angles
Converting between degrees and radians
NB.SCO.PCA120.T2
Develop and apply the equation of the unit circle: Use the unit circle to determine trigonometric ratios and solve problems
Unit circle
Reference angle
Find the exact value of trigonometric ratios
NB.SCO.PCA120.T3
Solve problems using six trigonometric ratios for angles expressed in radians and degrees: Apply trigonometric ratios to solve various problems in both degree and radian measure
ASTC rule in trigonometry (All Students Take Calculus)
Trigonometric ratios of angles in radians
Radian measure and arc length
NB.SCO.PCA120.T4
Graph and analyze trigonometric functions sine, cosine and tangent to solve problems: Explore properties, transformations, and applications of basic 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
Determining trigonometric functions given their graphs
NB.SCO.PCA120.T5
Solve first and second degree trigonometric equations algebraically and graphically: Use various techniques to solve trigonometric equations, including graphical methods
Solving first degree trigonometric equations
Solving second degree trigonometric equations
Solving trigonometric equations involving multiple angles
Determining non-permissible values for trig expressions
Solving trigonometric equations using pythagorean identities
Solving trigonometric equations using sum and difference identities
Solving trigonometric equations using double-angle identities
NB.SCO.PCA120.T6
Prove trigonometric identities using various techniques: Use reciprocal, quotient, Pythagorean, sum/difference, and double-angle identities to prove equations
Quotient identities and reciprocal identities
Pythagorean identities
Sum and difference identities
Double-angle identities
Cofunction identities

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