Pre-Calculus 11

Course Outline

Pre-calculus 11 is an advanced high school mathematics course. Students will explore the following topics:

  • Algebra and Number (AN)
  • Trigonometry (T)
  • Relations and Functions (RF)

 

Algebra and Number (AN)

Students will be expected to develop algebraic reasoning and number sense.

  • demonstrate an understanding of the absolute value of real numbers.
  • solve problems that involve operations on radicals and radical expressions with numerical and variable radicands.
  • solve problems that involve radical equations (limited to square roots).
  • determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials, or trinomials).
  • perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials, or trinomials).
  • solve problems that involve rational equations (limited to numerators and denominators that are monomials, binomials, or trinomials).

 

Trigonometry (T)

Students will be expected to develop trigonometric reasoning.

  • demonstrate an understanding of angles in standard position (0° to 360°).
  • solve problems, using the three primary trigonometric ratios for angles from 0° to 360° in standard position.
  • solve problems, using the cosine law and sine law, including the ambiguous case.
  • demonstrate an understanding of angles in standard position, expressed in degrees and radians.
  • develop and apply the equation of the unit circle.

 

Relations and Functions (RF)

Students will be expected to develop algebraic and graphical reasoning through the study of relations.

  • factor polynomial expressions 
  • graph and analyze absolute value functions (limited to linear and quadratic functions) to solve problems.
  • analyze quadratic functions to identify characteristics of the corresponding graph, including vertex, domain and range, direction of opening, axis of symmetry, x-intercept and y-intercept, and to solve problems.
  • solve problems that involve quadratic equations.
  • solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables.
  • solve problems that involve linear and quadratic inequalities in   two variables.
  • solve problems that involve quadratic inequalities in one variable.
  • analyze arithmetic sequences and series to solve problems.
  • analyze geometric sequences and series to solve problems.
  • graph and analyze reciprocal functions (limited to the reciprocal of linear and quadratic functions).

Updated August 24, 2021