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Grade 12 Math Courses - PEI Curriculum

Discover PEI's Grade 12 math options, from advanced calculus to workplace mathematics. Choose your path and prepare for post-secondary education or career success with our comprehensive course offerings.

Mathematics 12 (MAT621A)

Pre-Calculus 12 (MAT621B)

Advanced Mathematics and Calculus 12 (MAT611B)

Apprenticeship and Workplace Mathematics 12 (MAT631A)

PEI Grade 12 Math Curriculum - Advanced Courses and Pathways

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CO_ID
Curriculum Outcome
StudyPug Topic
PI.CO.AW12.G1
Solve problems using sine law and cosine law, excluding ambiguous case:
Law of sines
Law of cosines
Applications of the sine law and cosine law
PI.CO.AW12.G2
Solve problems involving triangles, quadrilaterals, and regular polygons:
Similar triangles
Similar polygons
Isosceles and equilateral triangles
Parallel lines and transversals
Parallel line proofs
Perpendicular line proofs
PI.CO.AW12.G3
Demonstrate understanding of 2-D and 3-D transformations:
Combining transformations of functions
Line symmetry
Rotational symmetry and transformations
Enlargements and reductions with scale factors
Scale diagrams
Transformations of functions: Horizontal translations
Transformations of functions: Vertical translations
Reflection across the y-axis: y = f(-x)
Reflection across the x-axis: y = -f(x)
Transformations of functions: Horizontal stretches
Transformations of functions: Vertical stretches
PI.CO.AW12.N1
Analyze puzzles and games involving logical reasoning using problem-solving techniques:
Direct variation
Evaluating piecewise functions
Graphing piecewise linear functions
Graphing piecewise non-linear functions
PI.CO.AW12.N2
Solve problems involving vehicle acquisition by buying, leasing, or leasing to buy:
Finance: Future value and present value
Simple interest
PI.CO.AW12.N3
Critique small business options considering expenses, sales, profit or loss:
Finance: Compound interest
Continuous growth and decay
Demand, revenue, cost & profit
Marginal revenue, and maximizing revenue & average revenue
Marginal cost, and minimizing cost & average cost
Marginal profit, and maximizing profit & average profit
Taxes, discounts, tips and more
Inverse variation
Joint and combined variation
PI.CO.AW12.M1
Demonstrate understanding of measuring instrument limitations and solve problems:
Conversions between metric and imperial systems
Metric systems
Imperial systems
Conversions involving squares and cubic
Upper and lower bound
PI.CO.AW12.A1
Describe linear relations through patterns, graphs, tables, equations, interpolation and extrapolation:
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​
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 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
PI.CO.AW12.S1
Solve problems involving measures of central tendency:
Frequency distribution and histograms
Center of a data set: mean, median, mode
Spread of a data set - standard deviation & variance
Measures of relative standing - z-score, quartiles, percentiles
Stem and leaf plots
Frequency polygons
Shapes of distributions
PI.CO.AW12.S2
Analyze and describe percentiles:
Bivariate, scatter plots and correlation
Regression analysis
Equation of the best fit line
PI.CO.AW12.P1
Analyze and interpret problems involving probability:
Addition rule for "OR"
Multiplication rule for "AND"
Conditional probability
Probability involving permutations and combinations
Law of total probability
Bayes' rule
Probability with Venn diagrams

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