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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.11E4.A.1
Analyze puzzles and games that involve numerical reasoning using problem-solving strategies:
Arithmetic sequences
Arithmetic series
Geometric sequences
Arithmetic mean vs. Geometric mean
MB.GO.11E4.M.1
Solve problems that involve personal budgets:
Applications of rational equations
Applications of inequalities
What is linear programming?
Linear programming word problems
Simple interest
MB.GO.11E4.M.2
Demonstrate understanding of financial institution services used to access and manage finances:
Taxes, discounts, tips and more
MB.GO.11E4.R.1
Demonstrate understanding of slope as rise over run and rate of change by solving problems:
Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}m=x2​−x1​y2​−y1​​
Rate of change
Direct variation
Inverse variation
Joint and combined variation
MB.GO.11E4.R.2
Solve problems by applying proportional reasoning and unit analysis:
Solving rational equations
Ratios
Rates
Proportions
Simplifying rational expressions and restrictions
Adding and subtracting rational expressions
Multiplying rational expressions
Dividing rational expressions
MB.GO.11E4.R.3
Solve problems that require manipulation and application of formulas related to slope and rate of change:
Slope intercept form: y = mx + b
General form: Ax + By + C = 0
Point-slope form: y - y_1 = m(x - x_1)
Transformations of quadratic functions
Graphing quadratic functions: General form VS. Vertex form
Finding the quadratic functions for given parabolas
Quadratic function in vertex form: y = a(x-p)^2 + q
MB.GO.11E4.R.4
Solve problems that involve scale:
Conversions between metric and imperial systems
Enlargements and reductions with scale factors
Scale diagrams
Conversions involving squares and cubic
Simplifying complex fractions
MB.GO.11E4.R.5
Demonstrate understanding of linear relations by recognizing patterns trends graphing creating tables:
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
Applications of linear relations
System of linear equations
System of linear-quadratic equations
Graphing linear inequalities in two variables
Graphing systems of linear inequalities
MB.GO.11E4.TG.1
Solve problems that involve two and three right triangles:
Unit circle
Use sine ratio to calculate angles and sides (Sin = o / h)
Use cosine ratio to calculate angles and sides (Cos = a / h)
Combination of SohCahToa questions
Solving expressions using 45-45-90 special right triangles
Solving expressions using 30-60-90 special right triangles
Use tangent ratio to calculate angles and sides (Tan = o / a)
Law of sines
Law of cosines
Applications of the sine law and cosine law
Angle in standard position
Coterminal angles
Reference angle
Find the exact value of trigonometric ratios
ASTC rule in trigonometry (All Students Take Calculus)
MB.GO.11E4.D.1
Model and draw 3-D objects and their views:
Surface area of 3-dimensional shapes
Characteristics of quadratic functions
Quadratic function in general form: y = ax^2 + bx + c
Shortcut: Vertex formula
Applications of quadratic functions
MB.GO.11E4.D.2
Draw and describe exploded views component parts and scale diagrams of simple 3-D objects:
Similar triangles
Similar polygons
Converting from general to vertex form by completing the square
Solving quadratic equations by factoring
Solving quadratic equations by completing the square
Using quadratic formula to solve quadratic equations
Completing the square

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