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Grade 12 Math Courses - Alberta Curriculum

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.

Mathematics 30-1

Mathematics 30-2

Mathematics 30-3

Alberta Grade 12 Math Curriculum - Mathematics 30-3

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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
Complex numbers and complex planes
Center of a data set: mean, median, mode
Spread of a data set - standard deviation & variance
Measures of relative standing - z-score, quartiles, percentiles
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
Fundamental counting principle
Permutations
Combinations
Problems involving both permutations and combinations
Ferris wheel trig problems
Addition rule for "OR"
Multiplication rule for "AND"
Conditional probability
Probability involving permutations and combinations
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
Conversions between metric and imperial systems
Metric systems
Imperial systems
Difference quotient: applications of functions
Upper and lower bound
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
Law of sines
Law of cosines
Applications of the sine law and cosine law
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
Classifying triangles
Isosceles and equilateral triangles
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
Line symmetry
Rotational symmetry and transformations
Enlargements and reductions with scale factors
Scale diagrams
Similar triangles
Similar polygons
Transformations of functions: Horizontal translations
Transformations of functions: Vertical translations
Transformations of functions: Horizontal stretches
Transformations of functions: Vertical stretches
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
Organizing outcomes
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.
Finance: Compound interest
Finance: Future value and present value
Simple interest
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
Applications of quadratic functions
Taxes, discounts, tips and more
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
Relationship between two variables
Understand relations between x- and y-intercepts
Domain and range of a function
Identifying functions
Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}d=(x2​−x1​)2+(y2​−y1​)2​
Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)M=(2x1​+x2​​,2y1​+y2​​)
Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}m=x2​−x1​y2​−y1​​
Slope intercept form: y = mx + b
General form: Ax + By + C = 0
Point-slope form: y - y_1 = m(x - x_1)
Graphing linear functions using table of values
Graphing linear functions using x- and y-intercepts
Graphing from slope-intercept form y=mx+b
Graphing linear functions using a single point and slope
Word problems of graphing linear functions
Function notation
Rate of change
Parallel and perpendicular lines in linear functions
Applications of linear relations
Direct variation
Inverse variation

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