Nova Scotia

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Skills available for Nova Scotia grade 12 math curriculum

Objectives are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practise that skill.

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12. Limits and Continuity

12. Derivatives

12. More Applications of Derivatives

  • 12.B15 demonstrate an understanding of critical points and absolute extreme values of a function

  • 12.B16 find the intervals on which a function is increasing or decreasing

  • 12.B17 solve application problems involving maximum or minimum values of a function

  • 12.C5 apply the First and Second Derivative Tests to determine the local extreme values of a function

  • 12.C6 determine the concavity of a function and locate the points of inflection by analyzing the second derivative

  • 12.B18 apply rules for definite integrals

  • 12.B19 apply the Fundamental Theorem of Calculus

  • 12.B20 compute indefinite and definite integrals by the method of substitution

  • 12.B21 (optional) apply integration by parts to evaluate indefinite and definite integrals

  • 12.B22 solve problems in which a rate is integrated to find the net change over time

  • 12.C8 understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus

  • 12.C9 construct antiderivatives using the Fundamental Theorem of Calculus

  • 12.C10 find antiderivatives of polynomials, e to the kx power, and selected trigonometric functions of kx

  • 12.D1 apply and understand how Riemann's sum can be used to determine the area under a polynomial curve

  • 12.D2 demonstrate an understanding of the meaning of area under the curve

  • 12.D3 express the area under the curve as a definite integral

  • 12.D4 compute the area under the curve using numerical integration procedures

  • 12.D5 apply integration to calculate areas of regions in a plane

  • 12.B23 (optional) solve a differential equation of the form dy/dx = g(x)h(y), in which the variables are separable

  • 12.B24 (optional) solve problems involving exponential growth and decay

  • 12.B25 (optional) apply Euler's method to find approximate solutions to differential equations with initial values

  • 12.C11 (optional) construct slope fields using technology and interpret them as visualizations of differential equations

  • 12.D6 (optional) apply integration (by slices or shells) to calculate volumes of solids

12. The Definite Integral and its Applications

  • 12.B18 apply rules for definite integrals

  • 12.B19 apply the Fundamental Theorem of Calculus

  • 12.B20 compute indefinite and definite integrals by the method of substitution

  • 12.B21 (optional) apply integration by parts to evaluate indefinite and definite integrals

  • 12.B22 solve problems in which a rate is integrated to find the net change over time

  • 12.C8 understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus

  • 12.C9 construct antiderivatives using the Fundamental Theorem of Calculus

  • 12.C10 find antiderivatives of polynomials, e to the kx power, and selected trigonometric functions of kx

  • 12.D1 apply and understand how Riemann's sum can be used to determine the area under a polynomial curve

  • 12.D2 demonstrate an understanding of the meaning of area under the curve

  • 12.D3 express the area under the curve as a definite integral

  • 12.D4 compute the area under the curve using numerical integration procedures

  • 12.D5 apply integration to calculate areas of regions in a plane

  • 12.B23 (optional) solve a differential equation of the form dy/dx = g(x)h(y), in which the variables are separable

  • 12.B24 (optional) solve problems involving exponential growth and decay

  • 12.B25 (optional) apply Euler's method to find approximate solutions to differential equations with initial values

  • 12.C11 (optional) construct slope fields using technology and interpret them as visualizations of differential equations

  • 12.D6 (optional) apply integration (by slices or shells) to calculate volumes of solids

12. Techniques of Integration (optional)

  • 12.B23 (optional) solve a differential equation of the form dy/dx = g(x)h(y), in which the variables are separable

  • 12.B24 (optional) solve problems involving exponential growth and decay

  • 12.B25 (optional) apply Euler's method to find approximate solutions to differential equations with initial values

  • 12.C11 (optional) construct slope fields using technology and interpret them as visualizations of differential equations

  • 12.D6 (optional) apply integration (by slices or shells) to calculate volumes of solids