Get help with Calculus 120
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The official New Brunswick Calculus 120 curriculum
New Brunswick defines Calculus 120 by strands and outcomes. MapleMind teaches the same curriculum reorganized for one-skill-at-a-time tutoring — the table shows exactly where every official strand lands, and the ministry's own wording is quoted under each unit below.
Official source New Brunswick's official K-12 education resourcesRead it on the government site — www2.gnb.ca ↗| Official strand | Outcomes | Where MapleMind teaches it |
|---|---|---|
| Strand C | 14 | Calculus |
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How MapleMind teaches Calculus 120 — every unit, lesson, and skill
Every skill below runs as a short session: a plain-words lesson, a worked example, solving it together, then a five-question skill check that earns up to three stars. Guided Mode keeps it teaching instead of answer-handing — turning it off needs a parent's password.
Unit 1CalculusOfficial strand · Strand C
Differential and integral calculus: rates of change, the derivative and its rules, applications of the derivative (curve sketching, optimization, related rates), and the definite integral and its applications.
Rates of change and the derivative
- Average and instantaneous rate of changeC1 — Explore average rate of change as a secant slope and instantaneous rate of change as the limit giving the tangent slope.
- The derivative from the definitionC2 — Determine the derivative of a function using the limit definition f'(x) = lim(h→0) [f(x+h) − f(x)]/h.
Derivative rules
- Constant, power, sum, and difference rulesC3 — Differentiate using the Constant, Power, Constant Multiple, Sum, and Difference rules.
- Product and quotient rulesC3 — Differentiate products and quotients of functions using the Product Rule and Quotient Rule.
- Derivatives of trigonometric functionsC4 — Find the derivatives of the trigonometric functions.
- The chain ruleC5 — Apply the chain rule to differentiate composite functions.
- Inverse trigonometric functionsC6 — Solve problems involving the derivatives of inverse trigonometric functions.
- Limits and derivatives of exponential and logarithmic functionsC7 — Find limits and derivatives of exponential and logarithmic functions.
Applications of the derivative
- Analyzing a function for curve sketchingC8 — Use the first and second derivatives to find critical points, intervals of increase/decrease, concavity, and inflection points.
- Sketching the graph from the analysisC8 — Assemble a complete graph of a function by combining derivative analysis with intercepts and asymptotes.
- Optimization problemsC9 — Solve optimization problems by writing a function, finding critical points, and testing for the maximum or minimum.
- Applied optimization in contextC9 — Solve applied optimization problems in business and physical contexts requiring careful modelling.
- Linearization and Newton's MethodC10 — Use linearization (the tangent-line approximation) and Newton's Method to solve problems.
The integral
- The definite integralC12 — Determine the definite integral of a function as a signed area and evaluate it.
- AntiderivativesC13 — Determine the antiderivative of a function by reversing the derivative rules, including the constant of integration.
- Integration to find area and accumulationC14 — Apply the definite integral to find the area between curves and total accumulated change.
- Integral applications in science, economics, and businessC14 — Apply the integral to problems from the physical and biological sciences, economics, and business.
The official wording — 14 outcomes in this unit
- 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
- 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
- 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
Printable workbook · A keepsake of the year
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Built from the same official curriculum as this page. Before and after each skill above, your student colours in how sure they feel — so the two of you can see, on one page, what's clicking and what needs another look. It's a quiet way to follow how the year is really going.
By June it's full of their own handwriting: units worked through, confidence grown, a mid-year check-in, notes from parent-teacher night, and a certificate at the end. Less a worksheet, more a record of the year worth keeping on the shelf.
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Common questions
Can MapleMind help me with Calculus 120?
Yes. MapleMind's AI tutor covers all 18 skills in New Brunswick's Calculus 120 — you pick the exact skill, and the tutor teaches it step by step: a short lesson, a worked example, solving together, then a skill check to show it stuck.
Is MapleMind aligned to New Brunswick's official curriculum?
Yes. Every skill in this course maps to an official outcome code from New Brunswick's Grade 12 Mathematics curriculum, and the ministry's own wording is quoted under each unit on this page — with the official government source linked so you can check it yourself.
What does MapleMind cost?
It's free to start — 5 tutoring chats and a practice quiz every day, no credit card. A Pro subscription ($9.99/month or $49.99/year CAD, 7-day free trial) unlocks unlimited tutoring, practice, and exam simulations.
What if I'm stuck on just one topic?
That's the point of skill-level tutoring: open Calculus 120 in the app, tap the exact skill from the list on this page, and the tutor teaches just that — no wading through lessons you don't need.
Does MapleMind work in French or other languages?
Yes — 14 languages, including French. Both the app and the tutor's explanations switch to the language you choose.
Where can I see the official New Brunswick curriculum for Calculus 120?
The official source is linked on this page — New Brunswick's official K-12 education resources. The outline here follows it: every MapleMind skill carries its official outcome code, and the ministry's own wording is quoted under each unit.
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