Alberta
Math
Grade 11 Math Courses - Alberta Curriculum
Discover Alberta's Grade 11 math courses: Mathematics 20-1, 20-2, and 20-3. Each stream offers tailored content to support diverse learning paths and future academic goals.
Alberta Grade 11 Math Curriculum - Mathematics 20-1, 20-2, 20-3 Topics
LO_ID | Learning Outcome-Skills & Procedures | StudyPug Topic |
|---|---|---|
SO.20-1.1 | Demonstrate an understanding of the absolute value of real numbers: Determine the distance of two real numbers from 0 on a number line and relate to absolute value; Determine the absolute value of positive and negative real numbers; Explain how distance between points on a number line relates to absolute value; Determine the absolute value of numerical expressions; Compare and order absolute values of real numbers |
SO.20-1.2 | Solve problems that involve operations on radicals and radical expressions with numerical and variable radicands: Compare and order radical expressions with numerical radicands; Express entire radicals as mixed radicals and vice versa; Perform operations to simplify radical expressions; Rationalize denominators of rational expressions; Identify values for which radical expressions are defined; Solve problems involving radical expressions |
SO.20-1.3 | Solve problems that involve radical equations (limited to square roots): Determine restrictions on variables in radical equations; Solve radical equations algebraically; Verify solutions by substitution; Explain why some algebraically determined roots are extraneous; Solve problems by modeling situations using radical equations |
SO.20-1.4 | Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials', 'binomials or trinomials): Compare strategies for rational expressions to those for rational numbers; Explain non-permissible values for rational expressions; Determine equivalent rational expressions by multiplying numerator and denominator; Simplify rational expressions; Explain why non-permissible values remain the same after simplification; Identify and correct errors in simplification of rational expressions |
SO.20-1.5 | Perform operations on rational expressions (limited to numerators and denominators that are monomials', 'binomials or trinomials): Compare strategies for operations on rational expressions to those on rational numbers; Determine non-permissible values when performing operations; Determine sums and differences of rational expressions; Determine products and quotients of rational expressions; Simplify expressions involving multiple operations on rational expressions |
SO.20-1.6 | Solve problems that involve rational equations (limited to numerators and denominators that are monomials', 'binomials or trinomials): Determine non-permissible values for variables in rational equations; Solve rational equations algebraically; Explain why some algebraically determined values may not be solutions; Solve problems by modeling situations using rational equations |
SO.20-1.7 | Demonstrate an understanding of angles in standard position [0° to 360°: Sketch angles in standard position; Determine reference angles for angles in standard position; Explain how to determine angles from 0° to 360° with the same reference angle; Illustrate reflection of reference angles in x-axis and y-axis; Determine quadrants for angles in standard position; Draw angles given points on terminal arms; Illustrate points on terminal sides with same reference angle |
SO.20-1.8 | Solve problems', 'using the three primary trigonometric ratios for angles from 0° to 360° in standard position: Determine distance from origin to points using Pythagorean theorem or distance formula; Calculate trigonometric ratios given points on terminal arms; Determine signs of trigonometric ratios for given angles; Solve trigonometric equations; Determine exact values of trigonometric ratios for special angles; Describe patterns in trigonometric ratio values; Sketch diagrams to represent problems; Solve contextual problems using trigonometric ratios |
SO.20-1.9 | Solve problems', 'using the cosine law and sine law', 'including the ambiguous case: Sketch diagrams for non-right triangle problems; Solve non-right triangles using primary trigonometric ratios; Explain steps in proofs of sine and cosine laws; Solve problems using cosine and sine laws; Describe situations with no solution, one solution, or two solutions |
SO.20-1.10 | Factor polynomial expressions of various forms: Factor expressions requiring identification of common factors; Determine if binomials are factors of polynomial expressions; Factor quadratic expressions and expressions with quadratic patterns |
SO.20-1.12 | Analyze quadratic functions of the form y = a(x - p)² + q and determine their characteristics: Explain why given functions are quadratic; Compare graphs of quadratic functions to y = x²; Generalize rules about effects of a, p, and q on quadratic function graphs; Determine vertex coordinates for quadratic functions; Sketch graphs of quadratic functions using transformations; Explain how a and q affect x-intercepts of quadratic functions; Write quadratic functions for given graphs or characteristics |
SO.20-1.13 | Analyze quadratic functions of the form y = ax² + bx + c to identify characteristics of the corresponding graph: Explain the process of completing the square; Convert quadratic functions between y = ax² + bx + c and y = a(x - p)² + q forms; Identify and correct errors in completing the square; Determine characteristics of quadratic functions in y = ax² + bx + c form; Sketch graphs of quadratic functions in y = ax² + bx + c form; Verify equivalence of different forms of quadratic functions; Write quadratic functions to model situations; Solve problems by analyzing quadratic functions |
SO.20-1.14 | Solve problems that involve quadratic equations: Explain relationships among roots, zeros, and x-intercepts of quadratic functions; Derive the quadratic formula; Solve quadratic equations using various strategies; Select and justify methods for solving quadratic equations; Use the discriminant to determine the nature of roots; Identify and correct errors in quadratic equation solutions; Solve problems involving quadratic equations |
SO.20-1.15 | Solve', 'algebraically and graphically', 'problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables: Model situations using systems of equations; Relate systems of equations to problem contexts; Solve systems graphically using technology; Solve systems algebraically; Explain the meaning of intersection points; Explain why systems may have zero, one, two, or infinite solutions; Solve problems involving systems of equations |
SO.20-1.16 | Solve problems that involve linear and quadratic inequalities in two variables: Explain use of test points to determine solution regions; Explain when to use solid or broken lines in inequality solutions; Sketch graphs of linear and quadratic inequalities; Solve problems involving linear and quadratic inequalities |
SO.20-1.17 | Solve problems that involve quadratic inequalities in one variable: Determine solutions to quadratic inequalities using various strategies; Represent and solve problems involving quadratic inequalities; Interpret solutions to quadratic inequality problems |
SO.20-1.18 | Analyze arithmetic sequences and series to solve problems: Identify assumptions in arithmetic sequences and series; Provide examples of arithmetic sequences; Derive rules for general terms of arithmetic sequences; Describe relationships between arithmetic sequences and linear functions; Determine various elements of arithmetic sequences and series; Derive sum formulas for arithmetic series; Solve problems involving arithmetic sequences and series |
SO.20-1.19 | Analyze geometric sequences and series to solve problems: Identify assumptions in geometric sequences and series; Provide examples of geometric sequences; Derive rules for general terms of geometric sequences; Determine various elements of geometric sequences and series; Derive sum formulas for geometric series; Generalize rules for infinite geometric series; Explain convergence and divergence of geometric series; Solve problems involving geometric sequences and series |
SO.20-1.20 | Graph and analyze reciprocal functions (limited to the reciprocal of linear and quadratic functions): Compare graphs of reciprocal functions to their corresponding functions; Identify characteristics of reciprocal function graphs; Explain the relationship between non-permissible values and vertical asymptotes; Graph reciprocal functions with and without technology; Graph original functions given their reciprocal functions |
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