Will this help with my child's Grade 12 Calculus homework?

Yes. StudyPug covers every strand in Nova Scotia Calculus 12 - from limits and derivatives to integration and differential equations - so your child can find help for any homework problem they are stuck on.

How long are the video lessons for Calculus 12?

Most video lessons run between 5 and 15 minutes and focus on one concept at a time, such as the chain rule or the Fundamental Theorem of Calculus, making it easy to fit a session into a busy schedule.

Is there a provincial test for Grade 12 math in Nova Scotia?

Nova Scotia does not currently administer a standardized provincial exam specifically for Grade 12 Calculus. Your child's final assessment will be set by their school and teacher.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on any device with a web browser, including tablets and smartphones, so your child can review limits, derivatives, or integration techniques at home or on the go.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so your child can try the content before committing. There is also a 30-day money-back guarantee if the subscription is not the right fit.

NS Grade 12 Math Curriculum

Give your child everything they need for Nova Scotia Calculus 12 - step-by-step lessons and practice problems covering limits, derivatives, and integrals, all matched to what their class is teaching.

NS Grade 12 Math Curriculum

CO_IDCurriculum OutcomeStudyPug Topic

NS.CO.C12.B1Calculate and interpret average and instantaneous rate of change
- Difference quotient: applications of functions
NS.CO.C12.B2Calculate limits for function values and apply limit properties with and without technology
- Finding limits from graphs
- Finding limits algebraically - direct substitution
- Finding limits algebraically - when direct substitution is not possible
- Limit laws
NS.CO.C12.B3Remove removable discontinuities by extending or modifying a function
- Continuity
NS.CO.C12.B4Apply the properties of algebraic combinations and composites of continuous functions
- Intermediate value theorem
NS.CO.C12.A1Apply average and instantaneous rates of change to secant line and tangent line slopes
- Limits at infinity - horizontal asymptotes
NS.CO.C12.A2Demonstrate an understanding of the definition of the derivative
- Definition of derivative
NS.CO.C12.A3Demonstrate understanding of implicit differentiation and identify situations that require it
- Implicit differentiation
NS.CO.C12.B5Find where a function is not differentiable and distinguish between corners cusps discontinuities and vertical tangents
- Infinite limits - vertical asymptotes
NS.CO.C12.B6Derive apply and explain power sum difference product and quotient rules
- Product rule
- Quotient rule
- Power rule
NS.CO.C12.B7Apply the chain rule to composite functions
- Chain rule
NS.CO.C12.B9Apply the rules for differentiating the six trigonometric functions
- Derivative of trigonometric functions
NS.CO.C12.B10Apply the rules for differentiating the six inverse trigonometric functions
- Derivative of inverse trigonometric functions
NS.CO.C12.B11Calculate and apply derivatives of exponential and logarithmic functions
- Derivative of exponential functions
- Derivative of logarithmic functions
NS.CO.C12.B12Apply Newton's method to approximate zeros of a function
- l'Hospital's rule
NS.CO.C12.B13Estimate the change in a function using differentials and apply them to real world situations
- Linear approximation
- Estimating Derivatives from a table
NS.CO.C12.C2Understand the development of the slope of a tangent line from the slope of a secant line
- Slope and equation of tangent line
NS.CO.C12.C4Demonstrate an understanding of the connection between the graphs of f and f
- Higher order derivatives
NS.CO.C12.B14Solve and interpret related rate problems
- Related rates
NS.CO.C12.B15Demonstrate an understanding of critical points and absolute extreme values of a function
- Critical number & maximum and minimum values
NS.CO.C12.B16Find the intervals on which a function is increasing or decreasing
- Curve sketching
NS.CO.C12.B17Solve application problems involving maximum or minimum values of a function
- Optimization
NS.CO.C12.B18Apply rules for definite integrals
- Definite integral
NS.CO.C12.B19Apply the Fundamental Theorem of Calculus
- Fundamental theorem of calculus
NS.CO.C12.B20Compute indefinite and definite integrals by the method of substitution
- U-Substitution
NS.CO.C12.B21Apply integration by parts to evaluate indefinite and definite integrals
- Integration by parts
NS.CO.C12.B22Solve problems in which a rate is integrated to find the net change over time
- Position velocity acceleration
- Volumes of solid with known cross-sections
- Arc length
NS.CO.C12.C7Solve initial value problems of the form dy/dx = f(x) y0 = f(x0) where f(x) is a recognizable derivative
- Order and solutions to differential equations
NS.CO.C12.C9Construct antiderivatives using the Fundamental Theorem of Calculus
- Antiderivatives
NS.CO.C12.C10Find antiderivatives of polynomials e^kx and selected trigonometric functions of kx
- Integration using trigonometric identities
NS.CO.C12.C11Construct slope fields using technology and interpret them as visualizations of differential equations
- Slope fields
NS.CO.C12.D1Apply and understand how Riemann sums can be used to determine the area under a polynomial curve
- Riemann sum
NS.CO.C12.D4Compute the area under a curve using numerical integration procedures
- Numerical integration
NS.CO.C12.D5Apply integration to calculate areas of regions in a plane
- Areas between curves
NS.CO.C12.D6Apply integration by slices or shells to calculate volumes of solids
- Volumes of solids of revolution - Disc method
- Volumes of solid of revolution - Shell method
NS.CO.C12.B23Solve a differential equation of the form dy/dx = g(x)h(y) in which the variables are separable
- Separable equations
NS.CO.C12.B24Solve problems involving exponential growth and decay
- Modeling with differential equations
NS.CO.C12.B25Apply Euler's method to find approximate solutions to differential equations with initial values
- Euler's method

Calculus 12

About Grade 12 Nova Scotia math

Nova Scotia Grade 12 math follows the Nova Scotia Curriculum, covering Calculus 12 across strands that include limits and continuity, differential calculus, applications of derivatives, integral calculus, and differential equations. Students work through rate of change, differentiation rules, optimization, the Fundamental Theorem of Calculus, and area under a curve. StudyPug provides video lessons and practice problems for every strand in this course.

Strands: limits and continuity, differentiation rules, applications of derivatives, integral calculus, and differential equations
Video lessons for every Calculus 12 topic, from the definition of the derivative to Euler's method
Practice problems and step-by-step worked examples aligned to the Nova Scotia Curriculum
Full coverage of optimization, related rates, integration by parts, and separable differential equations

Curriculum topics by strand

Lessons and practice for every strand in Nova Scotia Calculus 12, aligned to the Nova Scotia Curriculum.

Topic includes:

Practice

Video

Quiz

CO_ID

Curriculum Outcome

StudyPug Topic

NS Grade 12 Math Topics

Limits and Continuity: Calculate limits for function values, apply limit properties, remove removable discontinuities, and identify intervals of continuity.
Introduction to Derivatives: Understand average and instantaneous rate of change, secant and tangent line slopes, and the definition of the derivative.
Differentiation Rules: Apply power, sum, difference, product, quotient, and chain rules; differentiate trigonometric, inverse trigonometric, exponential, and logarithmic functions; use implicit differentiation.
Applications of Derivatives: Analyze increasing and decreasing intervals, critical points, local and absolute extrema, concavity, points of inflection, related rates, optimization problems, Newton's method, and differentials.
Integral Calculus: Apply the Fundamental Theorem of Calculus, compute indefinite and definite integrals, use substitution and integration by parts, understand Riemann sums, and find area under a curve.
Differential Equations: Solve separable differential equations, solve initial value problems, apply exponential growth and decay models, construct slope fields, and use Euler's method.

How StudyPug Helps NS Grade 12 Math Students

When a student hits a wall on a problem involving the chain rule or integration by parts, StudyPug lets them go straight to the relevant lesson, watch a worked example at their own pace, and then try practice problems with immediate feedback. Every topic in Nova Scotia Calculus 12 is covered, so there is no gap between what class teaches and what StudyPug provides.

Students preparing for school assessments or university entrance requirements can work through applications of derivatives and integral calculus with step-by-step explanations that match the Nova Scotia Curriculum, building the confidence they need for exams.

Aligned to NS Grade 12 Math Curriculum

All lessons and practice problems on StudyPug for Calculus 12 are built around the Nova Scotia Curriculum outcomes, from limits and continuity through differential equations, so families can trust that the content their child studies on StudyPug is the same content their Nova Scotia school expects them to know.

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Jump into practice questions for every NS Grade 12 Math topic - with instant feedback and step-by-step video solutions when you get stuck.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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