Grade 11 - Mathematics 20-1 (2008)

Algebra and Number

Trigonometry

Relations and Functions

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). 

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. 

Develop algebraic and graphical reasoning through the study of relations. 

Factor polynomial expressions of the form (where a, b and c are rational numbers): a (x^2) + b x + c, a ≠ 0,(a^2) (x^2) − (b^2) (y^2),a ≠ 0, b ≠ 0, a [(f(x))^2] + b [(f(x))^2] + c, a ≠ 0,(a^2) [(f(x))^2] − (b^2) [(g(y))^2], a ≠ 0, b ≠ 0

Graph and analyze absolute value functions (limited to linear and quadratic functions) to solve problems. 

Analyze quadratic functions of the form    y = a [(x − p)^2] + q and determine the: vertex, domain and range, direction of opening, axis of symmetry,  x- and y-intercepts

Analyze quadratic functions of the form    y = a (x^2)  + b x + c    to identify characteristics of the corresponding graph (and to solve problems), including: vertex, domain and rang, direction of opening, axis of symmetry, x- and y-intercepts

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).