Alberta
Math
Grade 12 Math Courses - Alberta Curriculum
Discover Alberta's Grade 12 math options: Mathematics 30-1, 30-2, and 30-3. Each course prepares students for different post-secondary paths and career opportunities. Choose the right course for your future.
Alberta Grade 12 Math Curriculum - Mathematics 30-1, 30-2, 30-3
LO_ID | Learning Outcome-Skills & Procedures | StudyPug Topic |
|---|---|---|
AB.SO.30-2.1 | Analyze puzzles and games that involve numerical and logical reasoning', 'using problem-solving strategies: Determine, explain and verify strategies to solve puzzles or win games; Create variations on puzzles or games and describe solving strategies; Identify and correct errors in puzzle solutions or game strategies |
AB.SO.30-2.2 | Solve problems that involve the application of set theory: Provide examples of empty sets, disjoint sets, subsets and universal sets; Organize information using graphic organizers; Explain what regions in Venn diagrams represent using set notation; Determine elements in complements, intersections and unions of sets; Explain how set theory is used in applications like Internet searches and data analysis; Identify and correct errors in set theory problem solutions; Solve contextual problems involving sets |
AB.SO.30-2.3 | Interpret and assess the validity of odds and probability statements: Provide examples of probability and odds statements from various fields; Explain the relationship between odds and probability; Express odds as probability and vice versa; Determine probability or odds for outcomes in situations; Explain how decisions may be based on probability, odds, or subjective judgments; Solve contextual problems involving odds or probability |
AB.SO.30-2.4 | Solve problems that involve the probability of mutually exclusive and non–mutually exclusive events: Classify events as mutually exclusive or non-mutually exclusive; Determine probability of complementary events; Represent events using set notation or graphic organizers; Solve problems involving mutually exclusive or non-mutually exclusive events |
AB.SO.30-2.5 | Solve problems that involve the probability of two events: Compare dependent and independent events; Determine probability of events given occurrence of previous events; Determine probability of dependent or independent events; Create and solve contextual problems involving dependent or independent events |
AB.SO.30-2.6 | Solve problems that involve the fundamental counting principle: Represent and solve counting problems using graphic organizers; Generalize the fundamental counting principle using inductive reasoning; Identify and explain assumptions in solving counting problems; Solve contextual counting problems using the fundamental counting principle |
AB.SO.30-2.7 | Solve problems that involve permutations: Represent arrangements using factorial notation; Determine values of factorials with/without technology; Simplify expressions containing factorials; Solve equations involving factorials; Determine number of permutations of n elements taken r at a time; Determine permutations with some elements not distinct; Explain effects on total permutations when elements are identical; Solve contextual problems involving permutations and probability |
AB.SO.30-2.8 | Solve problems that involve combinations: Explain when order is/isn't important in permutations vs combinations; Determine number of combinations of n elements taken r at a time; Generalize strategies for determining number of combinations; Solve contextual problems involving combinations and probability |
AB.SO.30-2.9 | Demonstrate an understanding of the characteristics of quadratic functions', 'including vertex', 'intercepts', 'domain and range', 'axis of symmetry: Determine coordinates of vertex of quadratic function graph; Determine equation of axis of symmetry; Determine if y-coordinate of vertex is maximum or minimum; Determine domain and range of quadratic function; Sketch graph of quadratic function; Solve contextual problems involving quadratic function characteristics |
AB.SO.30-2.10 | Solve problems that involve quadratic equations: Determine intercepts of quadratic function graph; Find roots of quadratic equation by factoring; Use quadratic formula to find roots; Explain relationships among roots, zeros, and x-intercepts; Express quadratic equations in factored form given zeros; Solve contextual problems modeled by quadratic equations |
AB.SO.30-2.11 | Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials and binomials): Compare strategies for equivalent rational expressions to rational numbers; Determine non-permissible values for rational expressions; Determine equivalent rational expressions; Simplify rational expressions; Identify and correct errors in simplifications of rational expressions |
AB.SO.30-2.12 | Perform operations on rational expressions (limited to numerators and denominators that are monomials and binomials): Compare operation strategies on rational expressions to rational numbers; Determine non-permissible values when performing operations; Determine sums/differences of rational expressions (same and different denominators); Determine products/quotients of rational expressions |
AB.SO.30-2.13 | Solve problems that involve rational equations (limited to numerators and denominators that are monomials and binomials): Determine non-permissible values for rational equations; Determine algebraic solutions to rational equations; Explain why some solutions may not be valid; Solve contextual problems involving rational equations |
AB.SO.30-2.14 | Demonstrate an understanding of logarithms and the laws of logarithms: Express logarithmic equations as exponential equations and vice versa; Determine values of logarithmic expressions without technology; Develop laws of logarithms using numeric examples and exponent laws; Determine equivalent expressions using laws of logarithms; Approximate logarithmic values using technology |
AB.SO.30-2.15 | Solve problems that involve exponential equations: Solve exponential equations with bases that are powers of each other; Solve exponential equations with bases that are not powers of each other; Solve problems applying exponential equations to loans, mortgages, investments; Solve problems involving logarithmic scales (e.g., Richter scale, pH scale) |
AB.SO.30-2.16 | Represent data', 'using exponential and logarithmic functions', 'to solve problems: Describe characteristics of exponential/logarithmic functions from graphs and equations; Match equations to corresponding graphs; Graph data and determine best fit exponential/logarithmic functions; Interpret graphs of exponential/logarithmic functions modeling situations; Solve contextual problems involving exponential/logarithmic data |
AB.SO.30-2.17 | Represent data', 'using polynomial functions (of degree ≤ 3)', 'to solve problems: Describe characteristics of polynomial functions from graphs and equations; Match equations to corresponding graphs; Graph data and determine best fit polynomial functions; Interpret graphs of polynomial functions modeling situations; Solve contextual problems involving polynomial data |
AB.SO.30-2.18 | Represent data', 'using sinusoidal functions', 'to solve problems: Describe characteristics of sinusoidal functions from graphs and equations; Match equations to corresponding graphs; Graph data and determine best fit sinusoidal functions; Interpret graphs of sinusoidal functions modeling situations; Solve contextual problems involving sinusoidal data |
AB.SO.30-2.19 | Research and give a presentation on a current event or an area of interest that involves mathematics: Collect primary or secondary data related to the topic; Assess accuracy, reliability, and relevance of collected data; Interpret data using statistical methods if applicable; Identify controversial issues and present multiple sides with supporting data; Organize and present the research project with/without technology |
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