Calculus

Quarter 1

Assignments:
Learning Objectives:
  • Identify the derivative of a function as the limit of a difference quotient.
Assignments:
Learning Objectives:
  • Express limits symbolically using correct notation and interpret limits expressed symbolically.
  • Estimate limits of functions.
  • Determine limits of functions.
  • Deduce and interpret behavior of functions using limits.
Assignments:
Learning Objectives:
  • Analyze functions for intervals of continuity or points of discontinuity.
  • Determine the applicability of important calculus theorems using continuity.
Assignments:
Learning Objectives:
  • Identify the derivative of a function as the limit of a difference quotient.
  • Estimate derivatives.
  • Calculate derivatives.
Assignments:
Learning Objectives:
  • LO 2.1D: Determine higher order derivatives.
  • LO 2.2A: Use derivatives to analyze properties of a function.
  • LO 2.2B: Recognize the connection between differentiability and continuity.
  • LO 2.3D: Solve problems involving rates of change in applied contexts.
  • 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.