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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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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	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

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

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

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

Rotational symmetry and transformations

Enlargements and reductions with scale factors

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 = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Midpoint formula:

M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)

Slope equation:

m = \frac{y_2-y_1}{x_2- x_1}

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

Parallel and perpendicular lines in linear functions

Applications of linear relations

Direct variation

Inverse variation

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