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Grade 12 Math Courses - BC Curriculum

Discover BC's Grade 12 math options: Foundations, Geometry, Pre-Calculus, Calculus, and Statistics. Prepare for post-secondary education and future careers with these advanced courses tailored to diverse learning paths.

Foundations 12

Geometry 12

Pre-Calculus 12

Calculus 12

Statistics 12

BC Grade 12 Math Curriculum - Advanced Math Courses

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Content-Elaborations
StudyPug Topic
BC.CE.PC12.1
Transformations of functions and relations: Explore invariant points, effects on tables of values, and transformations of different function types
Combining transformations of functions
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
Even and odd functions
BC.CE.PC12.2
Exponential functions and equations: Graph and solve exponential equations with various bases, including e, in real-world contexts
Exponents: Product rule (a^x)(a^y) = a^(x+y)
Exponents: Division rule: a^x / a^y = a^(x-y)
Exponents: Power rule: (a^x)^y = a^(xy)
Exponents: Negative exponents
Exponents: Zero exponent: a^0 = 1
Exponents: Rational exponents
Graphing exponential functions
Graphing transformations of exponential functions
Finding an exponential function given its graph
Solving exponential equations with logarithms
Finance: Compound interest
Continuous growth and decay
Solving exponential equations using exponent rules
BC.CE.PC12.3
Geometric sequences and series: Analyze common ratio, general term, and connections to exponential functions, including infinite series and sigma notation
Geometric sequences
Geometric series
Infinite geometric series
Sigma notation
BC.CE.PC12.4
Logarithms: operations', 'functions', 'and equations: Apply logarithm laws, evaluate with different bases, graph, and solve equations in various contexts
Solving logarithmic equations
What is a logarithm?
Converting from logarithmic form to exponential form
Evaluating logarithms without a calculator
Common logarithms
Natural log: ln
Evaluating logarithms using change-of-base formula
Converting from exponential form to logarithmic form
Product rule of logarithms
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
BC.CE.PC12.5
Polynomial functions and equations: Factor polynomials, analyze graph characteristics, and solve equations algebraically and graphically
Polynomial long division
Polynomial synthetic division
Polynomial functions
Remainder theorem
Factor theorem
Rational zero theorem
Characteristics of polynomial graphs
Determining the equation of a polynomial function
Applications of polynomial functions
Factor by taking out the greatest common factor
Factor by grouping
Factoring difference of squares: x2−y2x^2 - y^2x2−y2
Factoring trinomials
Multiplicities of polynomials
Imaginary zeros of polynomials
Solving polynomial inequalities
Fundamental theorem of algebra
Factoring difference of cubes
Factoring sum of cubes
Descartes' rule of signs
BC.CE.PC12.6
Rational functions: Examine graph characteristics including asymptotes, intercepts, discontinuities, domain, and end-behavior
What is a rational function?
Point of discontinuity
Slant asymptote
Solving rational equations
Solving rational inequalities
Graphing reciprocals of linear functions
Vertical asymptote
Horizontal asymptote
Graphs of rational functions
Graphing reciprocals of quadratic functions
BC.CE.PC12.7
Trigonometry: functions', 'equations', 'and identities: Explore angles, unit circle, graph trigonometric functions, solve equations, and apply identities
Unit circle
Quotient identities and reciprocal identities
Pythagorean identities
Sum and difference identities
Double-angle identities
Solving first degree trigonometric equations
Solving second degree trigonometric equations
Solving trigonometric equations involving multiple angles
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
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
Determining non-permissible values for trig expressions
Solving trigonometric equations using pythagorean identities
Solving trigonometric equations using sum and difference identities
Solving trigonometric equations using double-angle identities
Cofunction identities

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