New Brunswick · Grade 12
Calculus 120
New Brunswick’s Grade 12 math course: Calculus.
- Units
- 1
- Lessons
- 4
- Skills
- 18
- Provincial exam
- None
- Official curriculum
- New Brunswick Department of Education and Early Childhood Development
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 18 skills
Calculus
Rates of change and the derivative
Average and instantaneous rate of change
I can find average and instantaneous rates of change.
Official code: C1
The derivative from the definition
I can find a derivative from the limit definition.
Official code: C2
Derivative rules
Constant, power, sum, and difference rules
I can differentiate polynomials using the basic rules.
Official code: C3
Product and quotient rules
I can differentiate products and quotients of functions.
Official code: C3
Derivatives of trigonometric functions
I can differentiate trigonometric functions.
Official code: C4
The chain rule
I can differentiate a composite function with the chain rule.
Official code: C5
Inverse trigonometric functions
I can differentiate and solve problems with inverse trig functions.
Official code: C6
Limits and derivatives of exponential and logarithmic functions
I can differentiate exponential and logarithmic functions.
Official code: C7
Applications of the derivative
Analyzing a function for curve sketching
I can analyze a function with derivatives for sketching.
Official code: C8
Sketching the graph from the analysis
I can produce a full sketch of a function using calculus.
Official code: C8
Optimization problems
I can solve an optimization problem with calculus.
Official code: C9
Applied optimization in context
I can model and solve a real optimization problem.
Official code: C9
Linearization and Newton's Method
I can use linearization and Newton's Method to approximate.
Official code: C10
Related rates
I can solve a related-rates problem.
Official code: C11
The integral
The definite integral
I can find and interpret a definite integral.
Official code: C12
Antiderivatives
I can find the antiderivative of a function.
Official code: C13
Integration to find area and accumulation
I can use integration to find area and accumulated change.
Official code: C14
Integral applications in science, economics, and business
I can apply integration to problems from other fields.
Official code: C14
The official wording · 18 outcomes
- C1
- Explore the concepts of average and instantaneous rate of change
- C2
- Determine the derivative of a function by applying the definition of derivative
- C3
- Apply derivative rules to determine the derivative of a function, including: Constant Rule; Power Rule; Constant Multiple Rule; Sum Rule; Difference Rule
- C3
- Product Rule; Quotient Rule
- C4
- Find derivatives of trigonometric functions
- C5
- Apply the Chain Rule to determine the derivative of a function
- C6
- Solve problems involving inverse trigonometric functions
- C7
- Find limits and derivatives of exponential and logarithmic functions
- C8
- Use calculus techniques to sketch the graph of a function
- C8
- Use calculus techniques to sketch the graph of a function
- C9
- Use calculus techniques to solve optimization problems
- C9
- Use calculus techniques to solve optimization problems
- C10
- Use linearization (and Newton’s Method - optional) to solve problems
- C11
- Solve problems involving related rates
- C12
- Determine the definite integral of a function
- C13
- Determine the antiderivative of a function
- C14
- Solve problems that involve the application of the integral of a function
- C14
- the application of the integral of a function from a variety of fields, including the physical and biological Sciences, economics and business
Key ideas
Average rate of change is the slope of the secant line between two points.
The Power Rule: d/dx(xⁿ) = n·xⁿ⁻¹.
Critical points occur where f'(x) = 0 or is undefined.
The definite integral is the signed area between the curve and the x-axis.
Instantaneous rate of change is the slope of the tangent line at one point.
Watch out for
- Reporting an average rate as if it were instantaneous.
- Forgetting to reduce the exponent by one in the Power Rule.
- Calling every critical point a maximum or minimum without testing.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Plan the term
Pick your term and the days you study. Each unit gets its share of the weeks and comes back a week later for a review. The last two weeks go over the whole course.
Which course?
New Brunswick has 5 math courses for Grade 12. Here they are side by side.
- Calculus 120This course1 units · 18 skillsNo provincial examWhat it coversCalculus
- Financial and Workplace Mathematics 1207 units · 30 skillsNo provincial examWhat it coversMeasurement · Geometry · Number · Algebra · Statistics · Probability · Mathematical Research Project
- Foundations of Mathematics 1204 units · 30 skillsNo provincial examWhat it coversStatistics · Logical Reasoning · Probability · Relations and Functions
- Pre-Calculus 120A2 units · 30 skillsNo provincial examWhat it coversRelations and Functions · Trigonometry
- Pre-Calculus 120B3 units · 30 skillsNo provincial examWhat it coversRelations and Functions · Permutations, Combinations and Binomial Theorem · Limits
What a university, college or program asks for is theirs to say: check its admission page, and your school’s course guide.
The official curriculum
This page follows New Brunswick’s own curriculum for Calculus 120.
Textbooks
The course’s curriculum guide names its core resource:
“The Core Resource recommended for Calculus 120 is: Calculus: Graphing, Numerical, Algebraic 4th Edition 2012 by Finney, Demana, Waits, Kennedy”
- Calculus: Graphical, Numerical, Algebraic (4th edition)
From the course’s curriculum guide, read October 28, 2026. gnb.ca
Study it in MapleMind
MapleMind teaches Calculus 120 one skill at a time. Each skill gets a short lesson, practice as you go and a check worth up to three stars. It remembers where you stopped.
Course Companion
Your year in one workbook
A fun way to keep Calculus 120 organized, get to know your child better and see early when they need a hand. Fill it in on a screen, or print it.
- Pages
- 18
- Fillable fields
- 1,080
- Price
- $4.99
Questions about Calculus 120
What is Calculus 120?
New Brunswick’s Grade 12 math course: 18 skills in one unit, Calculus.
What units are in Calculus 120?
1. Calculus.
Is there a provincial exam for Calculus 120?
No. New Brunswick gives no provincial exam for Calculus 120.
What textbook does Calculus 120 use?
The course’s curriculum guide names its core resource: Calculus: Graphical, Numerical, Algebraic (4th edition), Pearson Education Canada.
Can MapleMind help with Calculus 120?
Yes. MapleMind teaches every skill of Calculus 120, step by step, with practice and checks, and its tutor answers questions about any of them. It’s free with daily limits, on iPhone, Android and the web.
Get ready for Calculus 120
Practise every skill of Calculus 120 in MapleMind, free with daily limits.
