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
LO_ID | Learning Outcome-Skills & Procedures | StudyPug Topic |
|---|---|---|
AB.SO.20-2.1 | Solve problems that involve the application of rates: Interpret rates in various contexts, solve rate problems requiring variable isolation, determine and compare rates and unit rates, make and justify decisions using rates, represent rates pictorially and graphically, describe contexts for given rates or unit rates, explain the relationship between graph slope and rate, identify and explain factors influencing rates, solve contextual problems involving rates or unit rates |
AB.SO.20-2.2 | Solve problems that involve scale diagrams', 'using proportional reasoning: Explain how scale diagrams are used to model 2-D shapes or 3-D objects, determine scale factors using proportional reasoning, calculate unknown dimensions using proportional reasoning, draw scale diagrams with specified scale factors, solve contextual problems involving scale diagrams |
AB.SO.20-2.3 | Demonstrate an understanding of the relationships among scale factors', 'areas', 'surface areas and volumes of similar 2-D shapes and 3-D objects: Calculate areas of 2-D shapes from scale diagrams, determine surface areas and volumes of 3-D objects from scale diagrams, explain effects of scale factor changes on 2-D shape areas, explain effects of scale factor changes on 3-D object surface areas and volumes, solve spatial problems requiring formula manipulation, solve contextual problems involving scale factors, areas, and volumes |
AB.SO.20-2.4 | Derive proofs that involve the properties of angles and triangles: Use inductive reasoning to generalize angle relationships in parallel lines, prove properties of angles formed by transversals and parallel lines, generalize rules for triangle interior angle sums, prove triangle congruence, identify and correct errors in angle property proofs |
AB.SO.20-2.5 | Solve problems that involve properties of angles and triangles: Determine angle measures in diagrams with parallel lines and triangles, identify and correct errors in angle measurement problem solutions, solve contextual problems involving angles or triangles, verify non-applicability of angle properties for non-parallel lines |
AB.SO.20-2.6 | Solve problems that involve the cosine law and the sine law', 'excluding the ambiguous case: Draw diagrams representing cosine law or sine law problems, explain proof steps for sine law or cosine law, solve contextual problems using sine law or cosine law, solve problems involving multiple triangles |
AB.SO.20-2.7 | Analyze puzzles and games that involve numerical and logical reasoning', 'using problem-solving strategies: Apply various problem-solving strategies to puzzles and games, identify and correct errors in puzzle solutions or game strategies, create variations of puzzles or games and describe solving strategies |
AB.SO.20-2.8 | Analyze and prove conjectures', 'using inductive and deductive reasoning', 'to solve problems: Make and justify conjectures based on observed patterns, explain limitations of inductive reasoning, compare inductive and deductive reasoning, provide counterexamples to disprove conjectures, prove algebraic and number relationships, construct logical arguments to support positions, prove conjectures using deductive reasoning, determine validity of arguments and justify reasoning, identify errors in proofs, solve contextual problems involving inductive or deductive reasoning |
AB.SO.20-2.9 | Analyze the characteristics of quadratic functions', 'including vertex', 'intercepts', 'domain and range', 'axis of symmetry: Determine vertex coordinates of quadratic function graphs, find axis of symmetry equations, determine vertex coordinates and maximum/minimum points, find domain and range of quadratic functions, sketch quadratic function graphs, solve contextual problems involving quadratic function characteristics |
AB.SO.20-2.10 | Solve problems that involve quadratic equations: Determine quadratic function graph intercepts, find quadratic equation roots by factoring, use quadratic formula to find equation roots, explain relationships between roots, zeros, and x-intercepts, explain why graphs may have zero, one, or two x-intercepts, express quadratic equations in factored form, solve contextual problems using quadratic equations |
AB.SO.20-2.11 | Solve problems that involve operations on radicals and radical expressions with numerical and variable radicands (limited to square roots): Compare and order radical expressions with numerical radicands, convert between entire and mixed radicals, perform operations to simplify radical expressions, rationalize monomial denominators of radical expressions, identify variable values for which radical expressions are defined |
AB.SO.20-2.12 | Solve problems that involve radical equations (limited to square roots or cube roots): Determine restrictions on variable values in radical equations, solve radical equations algebraically, verify solutions by substitution, explain why some roots may be extraneous, solve problems by modeling situations with radical equations |
AB.SO.20-2.13 | Demonstrate an understanding of normal distribution', 'including standard deviation and z-scores: Explain standard deviation concept, calculate population standard deviation using technology, explain normal curve properties, determine if data sets approximate normal distribution, compare properties of multiple normally distributed data sets, apply standard deviation in decision-making contexts, solve contextual problems involving standard deviation, calculate and explain z-scores for normally distributed data |
AB.SO.20-2.14 | Interpret statistical data', 'using confidence intervals', 'confidence levels', 'margin of error: Explain how sample size affects confidence levels and margins of error, explain significance of confidence intervals, margins of error, and confidence levels, make population inferences from sample data using confidence intervals, analyze media examples using confidence intervals and levels, interpret confidence intervals and margins of error in media examples, support positions using statistical data analysis |
AB.SO.20-2.15 | Determine the number of combinations of n different elements taken r at a time to solve problems: Explain differences between permutations and combinations, calculate number of ways to select subsets from larger sets, solve problems using combination calculations, explain combination notation relationships, solve equations involving combination notation |
AB.SO.20-2.16 | Expand powers of a binomial in a variety of ways', 'including using the binomial theorem (restricted to exponents that are natural numbers): Explain patterns in expanded forms of (x + y)^n, explain Pascal's triangle row determination, relate binomial expansion coefficients to Pascal's triangle, explain coefficient determination using combinations, expand binomials using the binomial theorem, determine specific terms in binomial expansions |
AB.SO.20-2.17 | Research and give a presentation on a historical event or an area of interest that involves mathematics: Collect relevant primary or secondary data, assess data accuracy, reliability, and relevance, interpret data using statistical methods if applicable, identify and present controversial issues with supporting data, organize and present research projects with or without technology |
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