Prince Edward Island · Grade 12
Pre-Calculus 12
- MAT621B
Prince Edward Island’s Grade 12 math course, from Permutations, Combinations and Binomial Theorem to Trigonometry.
- Units
- 3
- Lessons
- 8
- Skills
- 37
- Provincial exam
- None
- Official curriculum
- Prince Edward Island Department of Education and Early Years
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 4 skills
Permutations, Combinations and Binomial Theorem
Counting, permutations and combinations
Counting principle and permutations
I can use the counting principle and permutations to count arrangements.
Official code: PC1
Combinations
I can count selections using combinations.
Official code: PC1
The binomial theorem
I can expand a binomial power using the binomial theorem.
Official code: PC2
A specific term of a binomial expansion
I can find a specific term of a binomial expansion.
Official code: PC2
The official wording · 4 outcomes
- PC1
- Solve problems involving the fundamental counting principle, permutations
- PC1
- Solve problems involving the fundamental counting principle, permutations, and combinations.
- PC2
- Expand powers of a binomial in a variety of ways, including using the binomial theorem (restricted to exponents that are natural numbers).
- PC2
- Expand powers of a binomial in a variety of ways, including using the binomial theorem
Key ideas
The counting principle multiplies the options at each independent stage.
A permutation is an ordered arrangement; nPr counts r from n in order.
n factorial counts the arrangements of n distinct items.
A combination is a selection where order does not matter.
nCr counts the ways to choose r from n.
Watch out for
- Using a combination where order matters.
- Adding stage options instead of multiplying.
- Using a permutation where order does not matter.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 22 skills
Relations and Functions
Operations and composition of functions
Operations on functions
I can add, subtract, multiply, and divide functions.
Official code: RF1
Composition of functions
I can form and evaluate the composition of two functions.
Official code: RF1
Transformations of functions
Translations of graphs
I can translate a graph horizontally and vertically and adjust its equation.
Official code: RF2
Stretches of graphs
I can stretch a graph horizontally and vertically and adjust its equation.
Official code: RF3
Applying translations and stretches
I can apply combined translations and stretches to a graph.
Official code: RF4
Transformed equations
I can write the equation of a transformed function.
Official code: RF4
Reflections in the axes
I can reflect a graph in the x-axis and the y-axis.
Official code: RF5
Reflection in the line y = x
I can reflect a graph in the line y = x.
Official code: RF5
Inverses of relations
I can find the inverse of a relation.
Official code: RF6
Logarithms and their laws
Understanding logarithms
I can understand and evaluate logarithms.
Official code: RF7
The product, quotient and power laws
I can apply the product and quotient laws of logarithms.
Official code: RF8
The power law and change of base
I can apply the power law and change the base of a logarithm.
Official code: RF8
Graphing exponential functions
I can graph and analyse an exponential function.
Official code: RF9
Graphing logarithmic functions
I can graph and analyse a logarithmic function.
Official code: RF9
Exponential equations
I can solve an exponential equation.
Official code: RF10
Logarithmic equations
I can solve a logarithmic equation.
Official code: RF10
Polynomial, radical and rational functions
Factoring higher-degree polynomials
I can factor a higher-degree polynomial.
Official code: RF11
Graphing polynomial functions
I can graph a polynomial's shape and end behaviour.
Official code: RF12
Roots and intercepts of polynomials
I can graph a polynomial from its roots and their multiplicity.
Official code: RF12
Graphing radical functions
I can graph and analyse a radical function.
Official code: RF13
Graphing rational functions
I can find the asymptotes of a rational function.
Official code: RF14
Sketching rational functions
I can sketch a rational function from all its features.
Official code: RF14
The official wording · 22 outcomes
- RF1
- Demonstrate an understanding of operations on, and compositions of, functions.
- RF1
- Demonstrate an understanding of operations on, and compositions of, functions.
- RF2
- Demonstrate an understanding of the effects of horizontal and vertical translations on the graphs of functions and their related equations.
- RF3
- Demonstrate an understanding of the effects of horizontal and vertical stretches on the graphs of functions and their related equations.
- RF4
- Apply translations and stretches to the graphs and equations of functions.
- RF4
- Apply translations and stretches to the graphs and equations of functions.
- RF5
- effects of reflections on the graphs of functions and their related equations, including reflections through the: x x-axis; x y-axis
- RF5
- reflections on the graphs of functions and their related equations, including reflections through the: x line . y x
- RF6
- Demonstrate an understanding of inverses of relations.
- RF7
- Demonstrate an understanding of logarithms.
- RF8
- Demonstrate an understanding of the product, quotient and power laws of logarithms.
- RF8
- Demonstrate an understanding of the product, quotient and power laws of logarithms.
- RF9
- Graph and analyse exponential and logarithmic functions.
- RF9
- Graph and analyse exponential and logarithmic functions.
- RF10
- Solve problems that involve exponential and logarithmic equations.
- RF10
- Solve problems that involve exponential and logarithmic equations.
- RF11
- Demonstrate an understanding of factoring polynomials of degree greater than 2 (limited to polynomials of degree d d 5 with integral coefficients).
- RF12
- Graph and analyse polynomial functions (limited to polynomials functions of degree d d 5).
- RF12
- Graph and analyse polynomial functions (limited to polynomials functions of degree d d 5).
- RF13
- Graph and analyse radical functions (limited to functions involving one radical).
- RF14
- Graph and analyse rational functions (limited to numerators and denominators that are monomials, binomials or trinomials).
- RF14
- Graph and analyse rational functions (limited to numerators and denominators that are monomials, binomials or trinomials).
Key ideas
Function operations combine outputs for each common input.
Adding to y shifts the graph up; adding to x inside shifts it left.
log base b of x is the exponent that b must be raised to for x.
The factor theorem: (x - a) is a factor if the polynomial is zero at a.
The domain of a combined function is where both parts are defined.
Watch out for
- Ignoring the domain restriction of a quotient.
- Shifting left when the equation shifts right (sign inside).
- Treating a logarithm as division.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 11 skills
Trigonometry
Angles and the unit circle
Angles in standard position
I can work with angles in standard position in degrees and radians.
Official code: T1
The unit circle
I can develop and apply the equation of the unit circle.
Official code: T2
Trigonometric ratios and graphs
The six trigonometric ratios
I can find sine, cosine, and tangent for any angle.
Official code: T3
Reciprocal trigonometric ratios
I can find cosecant, secant, and cotangent for any angle.
Official code: T3
Graphing sine and cosine
I can graph and analyse sine and cosine functions.
Official code: T4
Graphing tangent
I can graph and analyse the tangent function.
Official code: T4
Trigonometric equations and identities
Solving trigonometric equations
I can solve a first-degree trigonometric equation over a domain.
Official code: T5
Second-degree trigonometric equations
I can solve a second-degree trigonometric equation.
Official code: T5
Reciprocal, quotient and Pythagorean identities
I can prove an identity using the reciprocal, quotient, and Pythagorean identities.
Official code: T6
Sum and difference identities
I can prove identities using the sum and difference identities.
Official code: T6
Double-angle identities
I can prove identities using the double-angle identities.
Official code: T6
The official wording · 11 outcomes
- T1
- Demonstrate an understanding of angles in standard position, expressed in degrees and radians.
- T2
- Develop and apply the equation of the unit circle.
- T3
- Solve problems, using the six trigonometric ratios for angles expressed in radians and degrees.
- T3
- using the six trigonometric ratios for angles expressed in radians and degrees.
- T4
- Graph and analyse the trigonometric functions sine, cosine and tangent to solve problems.
- T4
- Graph and analyse the trigonometric functions sine, cosine and tangent to solve problems.
- T5
- Solve, algebraically and graphically, first and second degree trigonometric equations with the domain expressed in degrees and radians.
- T5
- Solve, algebraically and graphically, first and second degree trigonometric equations with the domain expressed in degrees and radians.
- T6
- Prove trigonometric identities, using: x reciprocal identities; x quotient identities; x Pythagorean identities
- T6
- Prove trigonometric identities, using: x sum or difference identities (restricted to sine, cosine and tangent)
- T6
- Prove trigonometric identities, using: x double-angle identities (restricted to sine, cosine and tangent).
Key ideas
An angle in standard position starts on the positive x-axis.
The unit circle extends the ratios to any angle.
Isolate the trig ratio, then find the reference angle.
Radians measure an angle by arc length; 2 pi radians is one full turn.
The sign of each ratio depends on the quadrant.
Watch out for
- Mixing up degree and radian measures.
- Getting the sign wrong for the quadrant.
- Reporting only one solution when the domain holds several.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Plan the term
Pick your term and the days you study. Each unit gets its share of the weeks and comes back a week later for a review. The last two weeks go over the whole course.
Which course?
Prince Edward Island has 5 math courses for Grade 12. Here they are side by side.
- Applied MathematicsMAT801A6 units · 46 skillsNo provincial examWhat it coversNumber · Operations · Patterns and Relations · Measurement · Geometry (Spatial Sense) · Data Management
- Apprenticeship and Workplace Mathematics 12MAT621K4 units · 26 skillsNo provincial examWhat it coversGeometry · Measurement · Number · Permutations, Combinations and Binomial Theorem
- Calculus 12MAT611B1 units · 22 skillsNo provincial examWhat it coversCalculus
- Foundations of Mathematics 12MAT621A4 units · 30 skillsNo provincial examWhat it coversFinancial Mathematics · Logical Reasoning · Permutations, Combinations and Binomial Theorem · Relations and Functions
- Pre-Calculus 12This courseMAT621B3 units · 37 skillsNo provincial examWhat it coversPermutations, Combinations and Binomial Theorem · Relations and Functions · Trigonometry
What a university, college or program asks for is theirs to say: check its admission page, and your school’s course guide.
The official curriculum
This page follows Prince Edward Island’s own curriculum for Pre-Calculus 12.
Textbooks
The textbooks PEI Department of Education and Early Years lists for Pre-Calculus 12:
- Pre-Calculus 12
From Senior High Program of Studies and Authorized Materials, 2026-2027, read October 27, 2026. princeedwardisland.ca
Study it in MapleMind
MapleMind teaches Pre-Calculus 12 one skill at a time. Each skill gets a short lesson, practice as you go and a check worth up to three stars. It remembers where you stopped.
Course Companion
Your year in one workbook
A fun way to keep Pre-Calculus 12 organized, get to know your child better and see early when they need a hand. Fill it in on a screen, or print it.
- Pages
- 26
- Fillable fields
- 1,467
- Price
- $4.99
Questions about Pre-Calculus 12
What is Pre-Calculus 12?
Prince Edward Island’s Grade 12 math course: 3 units and 37 skills, from Permutations, Combinations and Binomial Theorem to Trigonometry.
What units are in Pre-Calculus 12?
1. Permutations, Combinations and Binomial Theorem, 2. Relations and Functions and 3. Trigonometry.
Is there a provincial exam for Pre-Calculus 12?
No. Prince Edward Island gives no provincial exam for Pre-Calculus 12.
What textbook does Pre-Calculus 12 use?
The textbooks PEI Department of Education and Early Years lists for Pre-Calculus 12: Pre-Calculus 12, McGraw-Hill Ryerson.
Can MapleMind help with Pre-Calculus 12?
Yes. MapleMind teaches every skill of Pre-Calculus 12, step by step, with practice and checks, and its tutor answers questions about any of them. It’s free with daily limits, on iPhone, Android and the web.
Get ready for Pre-Calculus 12
Practise every skill of Pre-Calculus 12 in MapleMind, free with daily limits.
