Calculus

Quarter 1

Assignments:

Learning Objectives:

  • LO 48: Identify the key values of sine, cosine and tangent using reference angles.
  • LO 49: State the domain and range of trigonometric functions.
  • LO 50: Identify the amplitude and period of trigonometric functions.
  • LO 51: Sketch the graph of a trigonometric equation using transformations.

Assignments:

Learning Objectives:

  • LO 49: State the domain and range of trigonometric functions.
  • LO 50: Identify the amplitude and period of trigonometric functions.
  • LO 51: Sketch the graph of a trigonometric equation using transformations.
  • LO 51b: Solve application problems using the law of sines and the law of cosines.

Assignments:

Learning Objectives:

  • LO 52: Identify the symmetry of a polar function.
  • LO 53: Sketch the graph of polar functions using a table of values.
  • LO 54: Identify the differences between circles, roses, limaçons, and lemniscates.
  • LO 1.2A: Analyze functions for intervals of continuity or points of discontinuity.
  • LO 1.2B: Determine the applicability of important calculus theorems using continuity.

Assignments:

Learning Objectives:

  • LO 52: Identify the symmetry of a polar function.
  • LO 53: Sketch the graph of polar functions using a table of values.
  • LO 54: Identify the differences between circles, roses, limaçons, and lemniscates.
  • LO 2.1A: Identify the derivative of a function as the limit of a difference quotient.
  • LO 2.1B: Estimate derivatives.
  • LO 2.1C: Calculate derivatives.
  • LO 2.1D: Determine higher order derivatives.
  • LO 3.1A: Recognize antiderivatives of basic functions.
  • LO 3.3B(a): Calculate antiderivatives.
  • LO 3.3B(b): Evaluate definite integrals.

Assignments:

Learning Objectives:

  • LO 2.2A: Use derivatives to analyze properties of a function.
  • LO 2.2B: Recognize the connection between differentiability and continuity.
  • LO 2.3A: Interpret the meaning of a derivative within a problem.
  • LO 2.4A: Apply the Mean Value Theorem to describe the behavior of a function over an interval.
  • LO 2.3B: Solve problems involving the slope of a tangent line.
  • LO 2.3C: Solve problems involving related rates, optimization, rectilinear motion (BC), and planar motion.
  • LO 2.3D: Solve problems involving rates of change in applied contexts.

Assignments:

Learning Objectives:

  • LO 4.A: Interpret the meaning of areas associated with the graph of a rate of change in context.
  • LO 5.A(a): Approximate a definite integral using geometric and numerical methods.
  • LO 5.A(b): Represent accumulation functions using definite integrals.
  • LO 5.B: Interpret the limiting case of the Riemann sum as a definite integral.
  • LO 5.C: Represent the limiting case of the Riemann sum as a definite integral.
  • LO 6.A(a): Calculate a definite integral using areas and properties of definite integrals.

Assignments:

Learning Objectives:

  • LO 6.B: Evaluate definite integrals analytically using the Fundamental Theorem of Calculus.
  • LO 6.C: Determine antiderivatives of functions and indefinite integrals, using knowledge of derivatves.
  • LO 6.D: Use substitution to determine indefinite integrals and evaluate definite integrals.
  • LO 4.B: Determine the average value of a function using definite integrals.
  • LO 4.C: Determine values for positions and rates of change using definite integrals in problems involving motion.
  • LO 4.D: Interpret the meaning of a definite integral in accumulation problems.
  • LO 4.E: Determine net change using definite integrals in applied contexts.

Assignments:

Learning Objectives:

  • LO 6.E: Use integration by parts to determine indefinite integrals and evaluate definite integrals.

Assignments:

Assignments:

Learning Objectives:

  • LO 6.F: Use partial fractions to determine indefinite integrals and evaluate definite integrals.