Nova ScotiaGrade 12 Math Courses - Nova Scotia Curriculum
Discover Nova Scotia's Grade 12 math curriculum, featuring Calculus 12. Prepare for advanced mathematical concepts and university-level studies with our comprehensive courses overview.
Nova Scotia Grade 12 Math Curriculum - Calculus 12Help
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: |