Prince Edward Island · Grade 11
Pre-Calculus 11
- MAT521B
Prince Edward Island’s Grade 11 math course, from Algebra and Number to Trigonometry.
- Units
- 3
- Lessons
- 15
- Skills
- 35
- 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 · 8 skills
Algebra and Number
Absolute value of real numbers
Absolute value of real numbers
I can evaluate and interpret the absolute value of a real number.
Official code: AN1
Operations on radicals
Simplifying and operating on numerical radicals
I can simplify and operate on numerical radicals.
Official code: AN2
Radicals with variable radicands
I can operate on radicals with variables and state restrictions.
Official code: AN2
Radical equations
Solving radical equations
I can solve a square-root equation and check for extraneous roots.
Official code: AN3
Rational expressions and equations
Equivalent forms of rational expressions
I can simplify a rational expression and state non-permissible values.
Official code: AN4
Multiplying and dividing rational expressions
I can multiply and divide rational expressions.
Official code: AN5
Adding and subtracting rational expressions
I can add and subtract rational expressions.
Official code: AN5
Solving rational equations
I can solve a rational equation and check for extraneous roots.
Official code: AN6
The official wording · 8 outcomes
- AN1
- Demonstrate an understanding of the absolute value of real numbers
- AN2
- operations on radicals and radical expressions with numerical and variable radicands
- AN2
- operations on radicals and radical expressions with numerical and variable radicands
- AN3
- Solve radical equations (limited to square roots)
- AN4
- Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials)
- AN5
- Perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials)
- AN5
- Perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials)
- AN6
- Solve problems that involve rational equations (limited to numerators and denominators that are monomials, binomials or trinomials)
Key ideas
The absolute value |a| is the distance of a from zero, always non-negative.
Simplify by removing perfect-square (or nth-power) factors.
Isolate the radical, then square both sides.
Factor the numerator and denominator, then cancel common factors.
|a| = a if a ≥ 0 and |a| = −a if a < 0.
Watch out for
- Thinking |−a| = −a for negative a.
- Adding unlike radicals (√2 + √3 ≠ √5).
- Squaring before isolating the radical.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 22 skills
Relations and Functions
Factoring polynomials
Factoring trinomials
I can factor a trinomial of the form ax² + bx + c.
Official code: RF1
Factoring differences of squares
I can factor a difference of squares.
Official code: RF1
Absolute value functions
Absolute value of linear functions
I can graph and analyse the absolute value of a linear function.
Official code: RF2
Absolute value of quadratic functions
I can graph and analyse the absolute value of a quadratic function.
Official code: RF2
Quadratic functions in vertex form
Vertex and direction of opening from vertex form
I can find the vertex and opening direction from vertex form.
Official code: RF3
Domain, range and axis of symmetry from vertex form
I can find the domain, range, and axis of symmetry from vertex form.
Official code: RF3
Intercepts from vertex form
I can find the intercepts of a quadratic in vertex form.
Official code: RF3
Quadratic functions in general form
Vertex and axis from general form
I can find the vertex and axis of a quadratic in general form.
Official code: RF4
Intercepts, domain and range from general form
I can find the intercepts, domain, and range from general form.
Official code: RF4
Solving problems with quadratic functions
I can solve max/min and modelling problems with quadratics.
Official code: RF4
Quadratic equations
Solving quadratic equations by factoring
I can solve a quadratic equation by factoring.
Official code: RF5
Solving quadratic equations with the quadratic formula
I can solve any quadratic with the quadratic formula.
Official code: RF5
Systems and inequalities with quadratics
Non-linear systems graphically
I can solve a non-linear system graphically.
Official code: RF6
Non-linear systems algebraically
I can solve a non-linear system algebraically.
Official code: RF6
Linear and quadratic inequalities in two variables
I can graph a linear inequality in two variables.
Official code: RF7
Quadratic inequalities in two variables
I can graph a quadratic inequality in two variables.
Official code: RF7
Quadratic inequalities in one variable
I can solve a quadratic inequality in one variable.
Official code: RF8
Arithmetic and geometric sequences and series
Arithmetic sequences
I can find the general term of an arithmetic sequence.
Official code: RF9
Arithmetic series
I can find the sum of an arithmetic series.
Official code: RF9
Geometric sequences
I can find the general term of a geometric sequence.
Official code: RF10
Geometric series
I can find the sum of a geometric series.
Official code: RF10
Reciprocal functions
Reciprocals of linear functions
I can graph and analyse the reciprocal of a linear function.
Official code: RF11
The official wording · 22 outcomes
- RF1
- Factor polynomials of the form: x 2 , 0; ax bx c a z
- RF1
- Factor polynomials of the form: x 2 2 2 2, 0, 0; a x b y a b z z where a, b and c are rational numbers
- RF2
- Graph and analyse absolute value functions (limited to linear and quadratic functions) to solve problems
- RF2
- Graph and analyse absolute value functions (limited to linear and quadratic functions) to solve problems
- RF3
- Analyse quadratic functions of the form y a x p q 2 and determine the: x vertex; x direction of opening
- RF3
- Analyse quadratic functions of the form y a x p q 2 and determine the: x domain and range; x axis of symmetry
- RF3
- Analyse quadratic functions of the form y a x p q 2 and determine the: x x- and y-intercepts
- RF4
- Analyse quadratic functions of the form y ax bx c 2 to identify characteristics of the corresponding graph, including: x vertex; x direction of opening; x axis of symmetry
- RF4
- Analyse quadratic functions of the form y ax bx c 2 to identify characteristics of the corresponding graph, including: x domain and range; x x- and y-intercepts
- RF4
- Analyse quadratic functions of the form y ax bx c 2 to identify characteristics of the corresponding graph, including: x vertex and to solve problems
- RF5
- Solve problems that involve quadratic equations
- RF5
- Solve problems that involve quadratic equations
- RF6
- Solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables
- RF6
- Solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables
- RF7
- Solve problems that involve linear and quadratic inequalities in two variables
- RF7
- Solve problems that involve linear and quadratic inequalities in two variables
- RF8
- Solve problems that involve quadratic inequalities in one variable
- RF9
- Analyse arithmetic sequences and series to solve problems
- RF9
- Analyse arithmetic sequences and series to solve problems
- RF10
- Analyse geometric sequences and series to solve problems
- RF10
- Analyse geometric sequences and series to solve problems
- RF11
- Graph and analyse reciprocal functions (limited to the reciprocal of linear functions)
Key ideas
For a = 1, find two numbers that multiply to c and add to b.
|f(x)| reflects the part of the graph below the x-axis upward.
In y = a(x − p)² + q the vertex is (p, q).
The axis of symmetry is x = −b/(2a).
Set the equation equal to zero first.
Watch out for
- Ignoring the leading coefficient when a ≠ 1.
- Reflecting the whole graph instead of only the negative part.
- Using +p instead of the value that makes (x − p) zero.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 5 skills
Trigonometry
Angles in standard position
Angles in standard position
I can place an angle in standard position and find its reference angle.
Official code: T1
Trigonometric ratios from 0° to 360°
Trig ratios from the terminal arm
I can find the trig ratios of any angle from 0° to 360°.
Official code: T2
Solving problems with the ratios over 0° to 360°
I can find all angles in 0° to 360° for a given ratio.
Official code: T2
The cosine and sine laws, including the ambiguous case
Applying the cosine and sine laws
I can solve triangles using the cosine and sine laws.
Official code: T3
The ambiguous case of the sine law
I can resolve the ambiguous case of the sine law.
Official code: T3
The official wording · 5 outcomes
- T1
- Demonstrate an understanding of angles in standard position
- T2
- using the three primary trigonometric ratios for angles from 00 to 3600 in standard position
- T2
- Solve problems, using the three primary trigonometric ratios for angles from 00 to 3600 in standard position
- T3
- Solve problems, using the cosine law and sine law, including the ambiguous case
- T3
- Solve problems, using the cosine law and sine law, including the ambiguous case
Key ideas
An angle in standard position has its vertex at the origin and initial arm on the positive x-axis.
For a point (x, y) at distance r, sin = y/r, cos = x/r, tan = y/x.
The cosine law fits SAS and SSS cases.
The terminal arm's quadrant determines the signs of the ratios.
The signs of the ratios depend on the quadrant (CAST rule).
Watch out for
- Measuring the reference angle to the y-axis.
- Getting the sign wrong for the quadrant.
- Using the sine law when only sides are known.
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 11. 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 11MAT521K3 units · 30 skillsNo provincial examWhat it coversGeometry · Measurement · Number
- Foundations of Mathematics 11MAT521A4 units · 29 skillsNo provincial examWhat it coversGeometry · Logical Reasoning · Measurement · Relations and Functions
- Pre-Calculus 11This courseMAT521B3 units · 35 skillsNo provincial examWhat it coversAlgebra and Number · Relations and Functions · Trigonometry
- Pre-Calculus ElectiveMAT521E4 units · 34 skillsNo provincial examWhat it coversFinancial Mathematics · Geometry · Logical Reasoning · Permutations, Combinations and Binomial Theorem
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 11.
Textbooks
The textbooks PEI Department of Education and Early Years lists for Pre-Calculus 11:
- Pre-Calculus 11
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 11 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 11 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
- 27
- Fillable fields
- 1,451
- Price
- $4.99
Questions about Pre-Calculus 11
What is Pre-Calculus 11?
Prince Edward Island’s Grade 11 math course: 3 units and 35 skills, from Algebra and Number to Trigonometry.
What units are in Pre-Calculus 11?
1. Algebra and Number, 2. Relations and Functions and 3. Trigonometry.
Is there a provincial exam for Pre-Calculus 11?
No. Prince Edward Island gives no provincial exam for Pre-Calculus 11.
What textbook does Pre-Calculus 11 use?
The textbooks PEI Department of Education and Early Years lists for Pre-Calculus 11: Pre-Calculus 11, McGraw-Hill Ryerson.
What comes after Pre-Calculus 11?
Calculus 12, Foundations of Mathematics 12, Pre-Calculus 12 and Apprenticeship and Workplace Mathematics 12.
Can MapleMind help with Pre-Calculus 11?
Yes. MapleMind teaches every skill of Pre-Calculus 11, 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 11
Practise every skill of Pre-Calculus 11 in MapleMind, free with daily limits.
