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