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Grade 11 Math Courses - BC Curriculum

Discover BC's Grade 11 math options: Foundations 11 and Pre-Calculus 11. Choose your path based on future goals and current strengths. Prepare for advanced math or practical applications.

Foundations 11

Pre-Calculus 11

BC Grade 11 Math Curriculum: Foundations 11 & Pre-Calculus 11

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Content-Elaborations
StudyPug Topic
BC.CE.FM11.1
Forms of mathematical reasoning: Logic, conjecturing, inductive and deductive thinking, proofs, game/puzzle analysis, counter-examples
Set notation
Set builder notation
Intersection and union of 2 sets
Intersection and union of 3 sets
BC.CE.FM11.2
Angle relationships: Properties, proofs, parallel lines, triangles and other polygons, angle constructions
Unit circle
Use sine ratio to calculate angles and sides (Sin = o / h)
Use cosine ratio to calculate angles and sides (Cos = a / h)
Use tangent ratio to calculate angles and sides (Tan = o / a)
Angle in standard position
Coterminal angles
Reference angle
Find the exact value of trigonometric ratios
ASTC rule in trigonometry (All Students Take Calculus)
Converting between degrees and radians
Trigonometric ratios of angles in radians
Radian measure and arc length
Classifying triangles
Isosceles and equilateral triangles
Pairs of lines and angles
Parallel lines and transversals
Parallel line proofs
Perpendicular line proofs
BC.CE.FM11.3
Graphical analysis: Using technology for linear inequalities, quadratic functions, and systems of equations
Characteristics of quadratic functions
Transformations of quadratic functions
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
System of linear equations
System of linear-quadratic equations
System of quadratic-quadratic equations
Graphing linear inequalities in two variables
Graphing quadratic inequalities in two variables
Graphing systems of quadratic inequalities
Inverse functions
Operations with functions
Quadratic function in vertex form: y = a(x-p)^2 + q
Applications of inequalities
BC.CE.FM11.4
Optimization: Using feasible region to optimize objective function, maximizing profit while minimizing cost
Express linear inequalities graphically and algebraically
Solving one-step linear inequalities
Solving multi-step linear inequalities
Inequalities of combined functions
What is linear programming?
Linear programming word problems
Compound inequalities
BC.CE.FM11.5
Applications of statistics: Posing questions, collecting data, interpreting results, measures of central tendency, standard deviation
Converting from general to vertex form by completing the square
Shortcut: Vertex formula
Solving polynomial inequalities
Completing the square
Classification of data
Sampling methods
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
Census and bias
BC.CE.FM11.6
Scale models: Enlargements and reductions of 2D shapes and 3D objects, comparing properties of similar objects
Enlargements and reductions with scale factors
Scale diagrams
Similar triangles
Similar polygons
Solving 3 variable systems of equations by substitution
Solving 3 variable systems of equations by elimination
Solving 3 variable systems of equations (no solution, infinite solutions)
BC.CE.FM11.7
Financial literacy: Compound interest, introduction to investments/loans with regular payments, buy/lease decisions
Finance: Compound interest
Finance: Future value and present value
BC.CE.FM11.E1
Similar shapes and objects: Characteristics of similar objects, changes in properties during enlargement or reduction
Surface area and volume of prisms
Surface area and volume of pyramids
Surface area and volume of cylinders
Surface area and volume of cones
Surface area and volume of spheres
BC.CE.FM11.E2
Optimization: Mathematical analysis for minimum or maximum output, using optimization to resolve conflicts
Optimization
BC.CE.FM11.E3
Logical reasoning: Strategic steps based on valid mathematical procedures, application to everyday life problems
Addition rule for "OR"
Multiplication rule for "AND"
Conditional probability
Probability involving permutations and combinations
BC.CE.FM11.E4
Variation in statistical analysis: Data gathering methods, analyzing data, making decisions, describing variation
Bivariate, scatter plots and correlation
Regression analysis
Equation of the best fit line

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