## 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 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