New BrunswickNB Grade 12 Pre-Calculus A 120 Curriculum
Video lessons and practice for every Pre-Calculus A 120 topic. Aligned to what New Brunswick Grade 12 schools teach. Get help with homework anytime.
NB Grade 12 Pre-Calculus A 120 Curriculum | StudyPugHelp
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 |
New Brunswick Grade 12 Pre-Calculus A 120 Overview
Pre-Calculus A 120 is a foundational Grade 12 math course for New Brunswick students planning to pursue post-secondary studies in science, technology, engineering, or mathematics. The course builds directly on concepts from Grade 11 and introduces the deeper function analysis and trigonometry skills needed for calculus.
Transformations and Functions
Students begin by exploring how translations, stretches, and reflections affect graphs and equations of various function types. They learn to combine multiple transformations and analyze cumulative effects, building a strong visual understanding of function behaviour.
- Translations and their effect on graphs and equations
- Stretches including scale factors and reciprocals
- Combining multiple transformations
- Reflections across the x-axis, y-axis, and the line y=x
- Inverse functions, their properties and restrictions
Radical, Exponential, and Logarithmic Functions
This unit introduces radical functions and their domain and range, followed by a detailed study of exponential and logarithmic functions. Students compare these two function families as inverses of each other and apply logarithm laws to simplify expressions and solve equations.
- Properties and transformations of radical functions
- Graphs and applications of exponential functions
- Graphs and applications of logarithmic functions
- Comparing exponential and logarithmic inverses
- Applying logarithm laws to solve equations
Trigonometry
The trigonometry unit covers angles in standard position, radian measure, the unit circle, and trigonometric ratios. Students graph and transform basic trigonometric functions and solve trigonometric equations using multiple techniques. The course concludes with trigonometric identities including reciprocal, quotient, Pythagorean, sum and difference, and double-angle identities.
- Converting between degrees and radians
- Unit circle and trigonometric ratios
- Properties and transformations of trigonometric functions
- Solving trigonometric equations graphically and algebraically
- Proving equations using trigonometric identities
How StudyPug Helps New Brunswick Grade 12 Students
StudyPug provides video lessons and practice problems for every topic in the New Brunswick Pre-Calculus A 120 course. Students can watch lessons at their own pace, pause and replay any segment, and practice with problems similar to what they see in class. Whether a student needs homework help tonight or wants to review before a test, StudyPug is available on any device anytime.