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Grade 11 Math Courses - Manitoba Curriculum

Discover Manitoba's Grade 11 math options: Applied, Essential, and Pre-Calculus. Each course offers unique pathways to support your learning goals and future academic pursuits.

Grade 11 Applied Mathematics (30S)

Grade 11 Essential Mathematics (30S) - Half Course 3

Grade 11 Essential Mathematics (30S) - Half Course 4

Grade 11 Pre-Calculus Mathematics (30S)

Manitoba Grade 11 Math Curriculum - Applied, Essential, Pre-Calculus

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GO_ID	Outcome	StudyPug Topic
MB.GO.11P.A.1	Demonstrate an understanding of the absolute value of real numbers:	Absolute value functions Solving absolute value equations Solving absolute value inequalities

MB.GO.11P.A.2

Solve problems involving operations on radicals and radical expressions with numerical and variable radicands:

Square and square roots

Cubic and cube roots

Conversion between entire radicals and mixed radicals

Adding and subtracting radicals

Multiplying radicals

Operations with radicals

MB.GO.11P.A.3

Solve problems involving radical equations limited to square roots:

Solving radical equations

MB.GO.11P.A.4

Determine equivalent forms of rational expressions with numerators and denominators that are monomials, binomials or trinomials:

Simplifying rational expressions and restrictions

Simplifying complex fractions

Partial fraction decomposition

MB.GO.11P.A.5

Perform operations on rational expressions with numerators and denominators that are monomials, binomials or trinomials:

Adding and subtracting rational expressions

Multiplying rational expressions

Dividing rational expressions

MB.GO.11P.A.6

Solve problems involving rational equations with numerators and denominators that are monomials, binomials or trinomials:

Solving rational equations

Applications of rational equations

MB.GO.11P.T.1

Demonstrate an understanding of angles in standard position from 0Â° to 360Â°:

Angle in standard position

Coterminal angles

Reference angle

MB.GO.11P.T.2

Solve problems using the three primary trigonometric ratios for angles from 0Â° to 360Â° in standard position:

Find the exact value of trigonometric ratios

ASTC rule in trigonometry (All Students Take Calculus)

MB.GO.11P.T.3

Solve problems using the cosine law and sine law, including the ambiguous case:

Applications of the sine law and cosine law

MB.GO.11P.R.1

Factor polynomial expressions of various forms:

Factor by taking out the greatest common factor

Factor by grouping

Factoring difference of squares:

x^2 - y^2

Factoring trinomials

Factoring difference of cubes

Factoring sum of cubes

MB.GO.11P.R.3

Analyze quadratic functions of the form y = a(x - p)Â² + q and determine characteristics of the corresponding graph:

Characteristics of quadratic functions

Transformations of quadratic functions

Converting from general to vertex form by completing the square

Shortcut: Vertex formula

Quadratic function in vertex form: y = a(x-p)^2 + q

Completing the square

MB.GO.11P.R.4

Analyze quadratic functions of the form y = axÂ² + bx + c to identify characteristics of the corresponding graph:

Quadratic function in general form: y = ax^2 + bx + c

Graphing quadratic functions: General form VS. Vertex form

Finding the quadratic functions for given parabolas

Applications of quadratic functions

Introduction to quadratic functions

MB.GO.11P.R.5

Solve problems involving quadratic equations:

Solving quadratic equations by factoring

Solving quadratic equations by completing the square

Using quadratic formula to solve quadratic equations

Nature of roots of quadratic equations: The discriminant

Applications of quadratic equations

Solving polynomial equations by iteration

MB.GO.11P.R.6

Solve algebraically and graphically problems involving systems of linear-quadratic and quadratic-quadratic equations:

System of linear equations

System of linear-quadratic equations

System of quadratic-quadratic equations

Solving 3 variable systems of equations by substitution

Solving 3 variable systems of equations by elimination

MB.GO.11P.R.7

Solve problems involving linear and quadratic inequalities in two variables:

Graphing linear inequalities in two variables

Graphing quadratic inequalities in two variables

Graphing systems of quadratic inequalities

Graphing systems of linear inequalities

Applications of inequalities

MB.GO.11P.R.8

Solve problems involving quadratic inequalities in one variable:

Solving quadratic inequalities

MB.GO.11P.R.9

Analyze arithmetic sequences and series to solve problems:

Arithmetic sequences

Arithmetic series

MB.GO.11P.R.10

Analyze geometric sequences and series to solve problems:

Geometric sequences

Geometric series

Infinite geometric series

MB.GO.11P.R.11

Graph and analyze reciprocal functions limited to the reciprocal of linear and quadratic functions:

Graphing reciprocals of linear functions

Graphing reciprocals of quadratic functions

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