Precalculus

Quarter 1

Assignments:

Learning Objectives:

  • LO P1: Use set-builder notation to define rational numbers.
  • LO P2: Convert rational numbers to decimal form and vice versa.
  • LO P3: Use interval notation to represent inequalities.
  • LO P4: Identify the usage of the basic properties of algebra.
  • LO P5: Identify the four quadrants of the Cartesian coordinate system.
  • LO P6: Calculate the distance between two points in the Cartesian coordinate system.
  • LO P7: Calculate the midpoint between two points in the Cartesian coordinate system.

Assignments:

Learning Objectives:

  • LO P8: State the fundamental theorem of algebra.
  • LO P9: Solve application problems that involve inequalities.
  • LO 1: Identify the solutions of a higher degree polynomial equation by graphing the equation using a graphing calculator.
  • LO 2: Find the zeros of a quadratic function by completing the square.

Assignments:

Learning Objectives:

  • LO 3: Solve application problems that involve quadratic equations.
  • LO 4: Identify the discriminate of a quadratic function and its relationship to the zeros.

Assignments:

Learning Objectives:

  • LO 5: Identify graphs that are symmetric about the x-axis, y-axis, and origin.
  • LO 6: Graph a piece-wise function.

Assignments:

Learning Objectives:

  • LO 7: List the transformations that can be used to obtain a complete graph of a given function.
  • LO 8: Find the equation and graph of a composite function.
  • LO 9: Use the role of inverse functions to decide if two functions are inverses of each other.
  • LO 11: Determine the minimum and maximum values of a given function.
  • LO 12: Find the increasing and decreasing intervals of a given function.
  • LO 13: Determine points of discontinuity of a given function.

Assignments:

Learning Objectives:

  • LO 3: Solve application problems that involve quadratic equations.
  • LO 5: Identify graphs that are symmetric about the x-axis, y-axis, and origin.
  • LO 7: List the transformations that can be used to obtain a complete graph of a given function.
  • LO 10: Identify functions that are one-to-one.

Assignments:

Learning Objectives:

  • LO 14: Find all real and complex zeros of a polynomial function.
  • LO 15: Identify the upper and lower bounds for the real number zeros of a polynomial function.
  • LO 16: Solve application problems involving polynomial functions.

Assignments:

Assignments:

Assignments:

Learning Objectives:

  • Use power functions to find the constant of variation given a variation statement.
  • Solve application problems involving variation.