Nova ScotiaNS Grade 12 Calculus Curriculum
Video lessons and practice for every Grade 12 Calculus topic. Aligned to what Nova Scotia schools teach. Get help with limits, derivatives, and integrals.
NS Grade 12 Calculus Curriculum | StudyPugHelp
CO_ID | Curriculum Outcome | StudyPug Topic |
|---|---|---|
NS.CO.C12.B1 | Calculate and interpret average and instantaneous rate of change: |
NS.CO.C12.B2 | Calculate limits for function values and apply limit properties with and without technology: |
NS.CO.C12.B3 | Remove removable discontinuities by extending or modifying a function: |
NS.CO.C12.B4 | Apply the properties of algebraic combinations and composites of continuous functions: |
NS.CO.C12.A1 | Apply average and instantaneous rates of change to secant line and tangent line slopes: |
NS.CO.C12.A2 | Demonstrate an understanding of the definition of the derivative: |
NS.CO.C12.A3 | Demonstrate understanding of implicit differentiation and identify situations that require it: |
NS.CO.C12.B5 | Find where a function is not differentiable and distinguish between corners cusps discontinuities and vertical tangents: |
NS.CO.C12.B6 | Derive apply and explain power sum difference product and quotient rules: |
NS.CO.C12.B7 | Apply the chain rule to composite functions: |
NS.CO.C12.B9 | Apply the rules for differentiating the six trigonometric functions: |
NS.CO.C12.B10 | Apply the rules for differentiating the six inverse trigonometric functions: |
NS.CO.C12.B11 | Calculate and apply derivatives of exponential and logarithmic functions: |
NS.CO.C12.B12 | Apply Newton's method to approximate zeros of a function: |
NS.CO.C12.B13 | Estimate the change in a function using differentials and apply them to real world situations: |
NS.CO.C12.C2 | Understand the development of the slope of a tangent line from the slope of a secant line: |
NS.CO.C12.C4 | Demonstrate an understanding of the connection between the graphs of f and f: |
NS.CO.C12.B14 | Solve and interpret related rate problems: |
NS.CO.C12.B15 | Demonstrate an understanding of critical points and absolute extreme values of a function: |
NS.CO.C12.B16 | Find the intervals on which a function is increasing or decreasing: |
NS.CO.C12.B17 | Solve application problems involving maximum or minimum values of a function: |
NS.CO.C12.B18 | Apply rules for definite integrals: |
NS.CO.C12.B19 | Apply the Fundamental Theorem of Calculus: |
NS.CO.C12.B20 | Compute indefinite and definite integrals by the method of substitution: |
NS.CO.C12.B21 | Apply integration by parts to evaluate indefinite and definite integrals: |
NS.CO.C12.B22 | Solve problems in which a rate is integrated to find the net change over time: |
NS.CO.C12.C7 | Solve initial value problems of the form dy/dx = f(x) y0 = f(x0) where f(x) is a recognizable derivative: |
NS.CO.C12.C9 | Construct antiderivatives using the Fundamental Theorem of Calculus: |
NS.CO.C12.C10 | Find antiderivatives of polynomials e^kx and selected trigonometric functions of kx: |
NS.CO.C12.C11 | Construct slope fields using technology and interpret them as visualizations of differential equations: |
NS.CO.C12.D1 | Apply and understand how Riemann sums can be used to determine the area under a polynomial curve: |
NS.CO.C12.D4 | Compute the area under a curve using numerical integration procedures: |
NS.CO.C12.D5 | Apply integration to calculate areas of regions in a plane: |
NS.CO.C12.D6 | Apply integration by slices or shells to calculate volumes of solids: |
NS.CO.C12.B23 | Solve a differential equation of the form dy/dx = g(x)h(y) in which the variables are separable: |
NS.CO.C12.B24 | Solve problems involving exponential growth and decay: |
NS.CO.C12.B25 | Apply Euler's method to find approximate solutions to differential equations with initial values: |
Grade 12 Calculus in Nova Scotia
Calculus 12 is one of the most important and challenging courses Nova Scotia students take in high school. It introduces foundational concepts like limits, derivatives, and integrals that are essential for university-level math, science, and engineering programs. StudyPug provides video lessons and practice problems that follow exactly what Nova Scotia schools teach in Calculus 12.
Key Topics in NS Calculus 12
- Limits and Continuity — understanding how functions behave as they approach a value
- Derivatives — rates of change, differentiation rules, and applications
- Applications of Derivatives — optimization, curve sketching, and related rates
- Integrals — antiderivatives, the definite integral, and the Fundamental Theorem of Calculus
- Applications of Integration — area under curves and real-world problem solving
How StudyPug Helps Grade 12 Calculus Students
Every topic in Calculus 12 is covered with a short video lesson followed by practice problems. Students can work through lessons at their own pace, replay difficult sections, and practice until they feel confident. Whether your child is struggling with derivatives or preparing for the Nova Scotia provincial exam, StudyPug has the lessons they need.
Preparing for the Nova Scotia Grade 12 Exam
Nova Scotia students in Grade 12 write a provincial exam that tests their understanding of Calculus 12 content. StudyPug covers all key exam topics so students can review at their own pace and go into the exam prepared. Consistent practice with worked examples is one of the best ways to build the skills needed to do well.