New Brunswick
Math
Discover New Brunswick's Grade 12 Pre-Calculus A 120 course. Prepare for advanced mathematics with a focus on functions, logarithms, and trigonometry, aligned with provincial standards.
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 |
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.RF8 | Demonstrate understanding of logarithms: Explore properties, graphs, and applications of logarithmic 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.RF11 | Solve problems involving exponential and logarithmic equations: Apply various techniques to solve real-world problems using exponential and logarithmic 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.T5 | Solve first and second degree trigonometric equations algebraically and graphically: Use various techniques to solve trigonometric equations, including graphical methods |
NB.SCO.PCA120.T6 | Prove trigonometric identities using various techniques: Use reciprocal, quotient, Pythagorean, sum/difference, and double-angle identities to prove equations |
Explore