Will this help with my child's Grade 12 math homework?

Yes. StudyPug covers every Pre-Calculus 12 strand taught in British Columbia, so your teen can find a lesson on the exact topic giving them trouble and work through practice problems the same night homework is due.

How long are the video lessons?

Most Pre-Calculus 12 video lessons run between 5 and 15 minutes, keeping each concept focused. Students can pause, rewind, and rewatch as many times as they need before moving on to practice problems.

Is there a provincial test for Grade 12 math in British Columbia?

BC students in Grade 12 may write Graduation Assessments as part of their graduation requirements. Pre-Calculus 12 is a common prerequisite for post-secondary programs, so strong preparation matters beyond the classroom.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, and computers, so your teen can watch a lesson or complete practice problems at home, at school, or on the go without needing to switch devices.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can see the teaching style before committing, and every paid plan is backed by a 30-day money-back guarantee if it is not the right fit.

BC Grade 12 Math Curriculum

Support your teen through Pre-Calculus 12 with lessons and practice that follow exactly what British Columbia schools teach, from transformations and trigonometry to logarithms and polynomial functions.

BC Grade 12 Math Curriculum

CC_IDContent-ElaborationsStudyPug Topic

BC.CE.PC12.1Explore 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.PC12.2Graph 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.PC12.3Analyze 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.PC12.4Apply 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
- Power rule of logarithms
- Evaluating logarithms using logarithm rules
- Graphing logarithmic functions
- Graphing transformations of logarithmic functions
- Finding a logarithmic function given its graph
BC.CE.PC12.5Factor 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: $x^2 - y^2$
- 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.PC12.6Examine 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.PC12.7Explore 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

Pre-Calculus 12

About Grade 12 British Columbia math

British Columbia's Pre-Calculus 12 follows the BC Curriculum, organized around Big Ideas, Curricular Competencies, and Content. Students work through function transformations, exponential and logarithmic functions, sequences and series, polynomial functions, rational functions, and trigonometry including the unit circle and identities. StudyPug provides video lessons, worked examples, and practice problems aligned to every strand of this course.

Strands: transformations, exponential functions, sequences and series, logarithms, polynomial functions, rational functions, and trigonometry
Video lessons and step-by-step worked examples for every Pre-Calculus 12 topic
Practice problems with detailed solutions aligned to the BC Curriculum
Flexible access so students can review any strand at their own pace

Curriculum topics by strand

Browse lessons and practice problems for every Pre-Calculus 12 strand, aligned to the BC Curriculum.

Topic includes:

Practice

Video

Quiz

CC_ID

Content-Elaborations

StudyPug Topic

BC Grade 12 Math Topics

Transformations of Functions: Explore invariant points, effects on tables of values, and transformations of different function types.
Exponential Functions: Graph and solve exponential equations with various bases, including e, in real-world contexts.
Sequences and Series: Analyze common ratio, general term, and connections to exponential functions, including infinite series and sigma notation.
Logarithmic Functions: Apply logarithm laws, evaluate with different bases, graph, and solve equations in various contexts.
Polynomial Functions: Factor polynomials, analyze graph characteristics, and solve equations algebraically and graphically.
Rational Functions: Examine graph characteristics including asymptotes, intercepts, discontinuities, domain, and end-behavior.
Trigonometry: Explore angles, unit circle, graph trigonometric functions, solve equations, and apply identities.

How StudyPug Helps BC Grade 12 Math Students

When a student gets stuck on a Pre-Calculus 12 concept - whether it is graphing a rational function or solving a logarithmic equation - they can search for that exact topic and find a focused video lesson followed by practice problems with full solutions. Working through examples at their own pace helps build the confidence needed for in-class assessments and end-of-course evaluations.

Parents can track which strands their teen has covered and identify gaps before they become bigger problems. Because StudyPug follows the BC Curriculum structure, every lesson connects directly to what is being taught in British Columbia classrooms.

Aligned to BC Grade 12 Math Curriculum

Every Pre-Calculus 12 lesson and practice set on StudyPug is built around the BC Curriculum's Big Ideas, Curricular Competencies, and Content for Grade 12, so students are always working on material that matches what their teacher expects - from function transformations in the first unit through trigonometric identities at the end of the course.

Ready to put your Grade 12 Math skills to the test?

Jump into practice questions for every BC Grade 12 topic - with instant feedback and step-by-step video solutions when you get stuck.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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