Alberta
Math
Discover Alberta's Grade 12 Math 30-3 course, designed for workplace and apprenticeship pathways. Explore practical math applications and prepare for post-secondary success.
LO_ID | Learning Outcome-Skills & Procedures | StudyPug Topic |
---|---|---|
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 |
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