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Grade 12

Grade 12 Math Courses - Alberta Curriculum

Discover Alberta's Grade 12 Math 30-3 courses, designed for workplace and apprenticeship pathways. Explore practical math applications and prepare for post-secondary success.

Alberta Grade 12 Math Curriculum - Mathematics 30-3Help

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AB.SO.30-3.1

Solve problems that involve measures of central tendency, including mean, median, mode, weighted mean, trimmed mean: Explain advantages and disadvantages of each measure of central tendency; Determine mean, median and mode for a data set; Identify and correct errors in calculations of central tendency measures; Identify outliers in a data set; Explain effect of outliers on mean, median and mode; Calculate trimmed mean and justify removal of outliers; Explain why some data may be given greater weighting in determining mean; Calculate weighted mean; Explain how measures of central tendency and outliers are used to interpret data; Solve contextual problems involving measures of central tendency

AB.SO.30-3.3

Analyze and interpret problems that involve probability: Describe and explain applications of probability; Calculate probability of an event based on a data set; Express probability as fraction, decimal, percent and statement; Explain difference between odds and probability; Determine probability given odds for/against; Explain how decisions may combine theoretical probability, experimental results, and subjective judgments; Solve contextual problems involving probability

AB.SO.30-3.4

Demonstrate an understanding of the limitations of measuring instruments, including precision, accuracy, uncertainty, tolerance: Explain why certain precision/accuracy is required in context; Explain difference between precision and accuracy; Compare accuracy of instruments measuring same attribute; Relate accuracy to uncertainty of measure; Analyze precision and accuracy in contextual problems; Calculate max/min values using given tolerance; Describe limitations of measuring instruments in trades/industries; Solve problems involving precision, accuracy or tolerance

AB.SO.30-3.5

Solve problems by using the sine law and cosine law, excluding the ambiguous case: Identify and describe use of sine/cosine laws in applications; Solve problems using sine/cosine law when diagram given

AB.SO.30-3.6

Solve problems that involve triangles, quadrilaterals, regular polygons: Describe/illustrate properties of triangles, quadrilaterals, regular polygons; Explain why properties apply/don't apply to certain polygons; Identify applications of polygon properties in various contexts; Solve contextual problems applying polygon properties

AB.SO.30-3.7

Demonstrate an understanding of transformations on a 2-D shape or a 3-D object, including translations, rotations, reflections, dilations: Identify single transformations given original and image; Draw images resulting from single/combined transformations; Create/analyze/describe designs using transformations; Identify applications of transformations in various contexts; Explain relationship between reflections and symmetry; Determine if image is dilation using similarity concept; Draw dilation images and explain proportionality; Solve contextual problems involving transformations

AB.SO.30-3.8

Analyze puzzles and games that involve logical reasoning, using problem-solving strategies: Determine/explain/verify strategies to solve puzzles or win games; Identify/correct errors in puzzle solutions or game strategies; Create variations of puzzles/games and describe solving strategies

AB.SO.30-3.9

Solve problems that involve the acquisition of a vehicle by buying, leasing, leasing to buy: Describe/explain options for buying, leasing, lease-to-buy vehicles; Solve problems involving vehicle purchase/lease/lease-to-buy; Justify decisions on vehicle acquisition based on factors like finances, use, maintenance, etc.

AB.SO.30-3.10

Critique the viability of small business options by considering expenses, sales, profit or loss: Identify expenses in operating small businesses; Identify feasible small business options for communities; Generate options to improve small business profitability; Determine break-even point for small businesses; Explain factors impacting small business profitability

AB.SO.30-3.11

Demonstrate an understanding of linear relations by recognizing patterns and trends, graphing, creating tables of values, writing equations, interpolating and extrapolating, solving problems: Identify/describe characteristics of linear relations in graphs, tables, patterns, equations; Sort graphs, tables, patterns, equations into linear/nonlinear relations; Write equations for given contexts including variations; Create value tables for linear relation equations; Sketch graphs from value tables; Explain when points should/shouldn't be connected on graphs; Create graphs to represent data sets including scatterplots; Describe trends in graphs including scatterplots; Sort scatterplots by trends (linear, nonlinear, no trend); Solve problems requiring interpolation/extrapolation; Relate slope and rate of change to linear relations; Match contexts to corresponding graphs; Solve contextual problems applying linear relation formulas