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Grade 12

Grade 12 Math Courses - New Brunswick Curriculum

Discover New Brunswick's Grade 12 Pre-Calculus A 120 courses. Prepare for advanced mathematics with a focus on functions, logarithms, and trigonometry, aligned with provincial standards.

New Brunswick Grade 12 Math Curriculum - Pre-Calculus A 120Help

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Curriculum Outcome - Elaborations

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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

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

NB.SCO.PCA120.RF3

Apply translations and stretches to graphs and equations of functions: Combine multiple transformations and determine their cumulative effects on 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

NB.SCO.PCA120.RF5

Demonstrate understanding of inverses of relations: Determine and graph inverse functions, analyze their properties and restrictions

NB.SCO.PCA120.RF6

Graph and analyze radical functions involving one radical: Explore properties, domain, range, and transformations of radical functions

NB.SCO.PCA120.RF7

Demonstrate understanding of exponential functions: Analyze properties, graphs, and applications of exponential functions

NB.SCO.PCA120.RF9

Graph and analyze exponential and logarithmic functions: Compare and contrast exponential and logarithmic functions, their inverses and applications

NB.SCO.PCA120.RF10

Demonstrate understanding of product, quotient and power laws of logarithms: Apply logarithm laws to simplify expressions and solve equations

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

NB.SCO.PCA120.T2

Develop and apply the equation of the unit circle: Use the unit circle to determine trigonometric ratios and solve problems

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

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

NB.SCO.PCA120.T6

Prove trigonometric identities using various techniques: Use reciprocal, quotient, Pythagorean, sum/difference, and double-angle identities to prove equations