AlbertaGrade 12
AB Mathematics 30-2 Curriculum
Video lessons and practice for every Mathematics 30-2 topic. Aligned to what Alberta Grade 12 schools teach. Get help with homework anytime.
AB Mathematics 30-2 Curriculum | StudyPugHelp
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 |
Alberta Mathematics 30-2 — Full Course Coverage
Mathematics 30-2 is an Alberta Grade 12 course designed for students planning to pursue post-secondary programs that require foundational math skills. StudyPug covers every unit in the course with clear video lessons and practice problems your child can use alongside their school work.
Probability and Odds
Students learn to express probability and odds, convert between the two, and solve contextual problems involving chance and decision-making. StudyPug breaks down mutually exclusive events, complementary events, and dependent and independent events with worked examples.
Set Theory and Venn Diagrams
This unit introduces empty sets, subsets, universal sets, and how to use Venn diagrams to organize information. Students learn set notation and how set theory applies to real-world situations like Internet searches and data analysis.
Counting Methods — Permutations and Combinations
StudyPug walks students through the fundamental counting principle, factorial notation, permutations of n elements taken r at a time, and combinations. Each concept is explained step by step with examples students can follow at their own pace.
Quadratic Functions and Equations
- Finding the vertex, axis of symmetry, domain, and range
- Determining intercepts and roots by factoring or using the quadratic formula
- Solving contextual problems modeled by quadratic equations
Rational Expressions and Equations
Students simplify rational expressions, identify non-permissible values, and perform operations including addition, subtraction, multiplication, and division. Rational equations and their contextual applications are also covered.
Exponential and Logarithmic Functions
This unit covers the laws of logarithms, solving exponential equations, and applying logarithmic scales such as the Richter scale and pH scale. Students also graph and interpret exponential and logarithmic functions from real-world data.
Polynomial and Sinusoidal Functions
Students describe characteristics of polynomial and sinusoidal functions, match equations to graphs, and interpret graphs that model real-world situations. StudyPug includes practice problems for fitting functions to data sets.
Research Project
The Mathematics 30-2 research project requires students to collect data, assess its accuracy and relevance, apply statistical methods, and present findings. StudyPug supports the underlying math skills needed to complete this component successfully.