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Grade 12 Math Courses - Manitoba Curriculum

Discover Manitoba's Grade 12 math options: Applied, Essential, and Pre-Calculus. Each course offers unique pathways to support your academic goals and future career aspirations.

Grade 12 Applied Mathematics (40S)

Grade 12 Essential Mathematics (40S) - Half Course 5

Grade 12 Essential Mathematics (40S) - Half Course 6

Grade 12 Pre-Calculus Mathematics (40S)

Manitoba Grade 12 Math Curriculum - Applied, Essential, Pre-Calculus

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GO_ID
Outcome
StudyPug Topic
MB.GO.12A.FM.1
Solve problems that involve compound interest in financial decision making:
Exponential growth and decay by a factor
Exponential growth and decay by percentage
Finance: Compound interest
Logarithmic scale: Richter scale (earthquake)
Logarithmic scale: pH scale
Logarithmic scale: dB scale
Finance: Future value and present value
Simple interest
MB.GO.12A.FM.2
Analyze costs and benefits of renting, leasing and buying:
Geometric series
Infinite geometric series
Taxes, discounts, tips and more
MB.GO.12A.FM.3
Analyze an investment portfolio in terms of interest rate, rate of return, and total return:
Applications of rational equations
Continuous growth and decay
Applications of inequalities
MB.GO.12A.L.1
Analyze puzzles and games that involve numerical and logical reasoning using problem-solving strategies:
Direct variation
Evaluating piecewise functions
Graphing piecewise linear functions
Graphing piecewise non-linear functions
MB.GO.12A.L.2
Solve problems that involve the application of set theory:
Set notation
Set builder notation
Intersection and union of 2 sets
Intersection and union of 3 sets
MB.GO.12A.L.3
Solve problems that involve conditional statements:
Solving rational inequalities
Graphing linear inequalities in two variables
Inequalities of combined functions
Graphing systems of linear inequalities
Reading and drawing Venn diagrams
Probability with Venn diagrams
MB.GO.12A.R.1
Represent data using polynomial functions of degree ≤ 3 to solve problems:
Polynomial functions
Characteristics of polynomial graphs
Determining the equation of a polynomial function
Applications of polynomial functions
Solving polynomial inequalities
Fundamental theorem of algebra
Descartes' rule of signs
MB.GO.12A.R.2
Represent data using exponential and logarithmic functions to solve problems:
Solving logarithmic equations
Graphing exponential functions
Graphing transformations of exponential functions
Finding an exponential function given its graph
What is a logarithm?
Quotient rule of logarithms
Combining product rule and quotient rule in logarithms
Evaluating logarithms using logarithm rules
Graphing logarithmic functions
Finding a logarithmic function given its graph
MB.GO.12A.R.3
Represent data using sinusoidal functions to solve problems:
Sine graph: y = sin x
Cosine graph: y = cos x
Tangent graph: y = tan x
Cotangent graph: y = cot x
Secant graph: y = sec x
Cosecant graph: y = csc x
Graphing transformations of trigonometric functions
Determining trigonometric functions given their graphs
Ferris wheel trig problems
Tides and water depth trig problems
Spring (simple harmonic motion) trig problems
MB.GO.12A.P.1
Interpret and assess the validity of odds and probability statements:
Introduction to probability
Organizing outcomes
Comparing experimental and theoretical probability
Inverse variation
Joint and combined variation
MB.GO.12A.P.2
Solve problems that involve the probability of mutually exclusive and non-mutually exclusive events:
Arithmetic series
Addition rule for "OR"
Multiplication rule for "AND"
MB.GO.12A.P.3
Solve problems that involve the probability of independent and dependent events:
Geometric sequences
Permutation vs. Combination
Probability of independent events
Conditional probability
MB.GO.12A.P.4
Solve problems that involve the fundamental counting principle:
Fundamental counting principle
MB.GO.12A.P.5
Solve problems that involve permutations:
Factorial notation
Path counting problems
Permutations
MB.GO.12A.P.6
Solve problems that involve combinations:
Combinations
Problems involving both permutations and combinations
Pascal's triangle
Binomial theorem
MB.GO.12A.RP.1
Research and give a presentation on a current event or an area of interest that involves mathematics:
Organizing data
Reading and drawing bar graphs
Reading and drawing histograms
Reading and drawing line graphs
Box-and-whisker plots and scatter plots
MB.GO.12A.D.1
Analyze objects shapes and processes to solve cost and design problems:
Surface area of 3-dimensional shapes
Enlargements and reductions with scale factors
Scale diagrams
Similar triangles
Similar polygons
Conics - Parabola
Conics - Circle
Conics - Ellipse
Conics - Hyperbola
Even and odd functions
Difference quotient: applications of functions

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