New Brunswick · Grade 11
Pre-Calculus 110
New Brunswick’s Grade 11 math course, from Algebra and Number to Relations and Functions.
- Units
- 3
- Lessons
- 16
- Skills
- 30
- Provincial exam
- None
- Official curriculum
- New Brunswick Department of Education and Early Childhood Development
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 9 skills
Algebra and Number
Absolute value of real numbers
Understanding absolute value
I can find and interpret the absolute value of a real number.
Official code: AN1
Radicals and radical expressions
Simplifying radical expressions
I can simplify radical expressions.
Official code: AN2
Operations on radicals and rationalizing
I can add, multiply, and rationalize radical expressions.
Official code: AN2
Radical equations
Solving radical equations
I can solve a square-root radical equation and check for false roots.
Official code: AN3
Rational expressions
Equivalent forms of rational expressions
I can simplify a rational expression to lowest terms.
Official code: AN4
Non-permissible values
I can find the non-permissible values of a rational expression.
Official code: AN4
Operations on rational expressions
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
Rational equations
Solving rational equations
I can solve a rational equation and reject extraneous roots.
Official code: AN6
The official wording · 9 outcomes
- AN1
- 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
- problems that involve radical equations (limited to square roots)
- AN4
- Determine equivalent forms of rational expressions
- AN4
- equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials)
- AN5
- Perform operations on rational expressions
- AN5
- operations on rational expressions (limited to numerators and denominators that are monomials, binomials or trinomials)
- AN6
- problems that involve rational equations
Key ideas
Absolute value is a number's distance from zero, always non-negative.
Factor out perfect-square (or perfect-nth) factors from under the root.
Isolate the radical, then square both sides.
Factor the numerator and denominator, then cancel common factors.
Factor everything, then cancel across the product.
Watch out for
- Thinking absolute value just removes a minus sign from the final answer.
- Splitting √(a + b) as √a + √b.
- Squaring before isolating the radical.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 3 skills
Trigonometry
Angles in standard position
Angles in standard position and reference angles
I can place an angle in standard position and find its reference angle.
Official code: T1
Trigonometric ratios from 0° to 360°
Trig ratios and their signs by quadrant
I can evaluate trig ratios for angles up to 360° with correct signs.
Official code: T2
Solving trigonometric problems
I can find all angles in 0°-360° that satisfy a trig ratio.
Official code: T2
The official wording · 3 outcomes
- T1
- understanding of angles in standard position
- T2
- using the three primary trigonometric ratios for angles from
- T2
- Solve problems, using the three primary trigonometric ratios for angles from 0° to 360° in standard position
Key ideas
An angle in standard position has its vertex at the origin and initial arm on the positive x-axis.
The reference angle gives the size of each ratio.
The terminal arm lands in one of four quadrants.
The quadrant sets the sign of each ratio (CAST rule).
A reference angle is the acute angle to the x-axis.
Watch out for
- Measuring from the y-axis instead of the positive x-axis.
- Ignoring the quadrant sign and giving a positive value everywhere.
- Confusing the reference angle with the full angle.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 18 skills
Relations and Functions
Factoring polynomial forms
Factoring the general trinomial form
I can factor a general trinomial ax² + bx + c.
Official code: RF1
Factoring a difference of squares
I can factor a difference of squares.
Official code: RF1
Factoring a trinomial in a function of x
I can factor a trinomial where a whole expression plays the role of the variable.
Official code: RF1
Factoring a difference of squares in functions
I can factor a difference of squares where each square is a whole expression.
Official code: RF1
Absolute value functions
Graphing absolute value functions
I can graph an absolute value function.
Official code: RF2
Solving with absolute value functions
I can solve equations and problems using absolute value functions.
Official code: RF2
Quadratic functions in vertex form
Vertex, direction, and symmetry from vertex form
I can read the vertex, direction, and axis from vertex form.
Official code: RF3
Domain, range, and intercepts from vertex form
I can find the domain, range, and intercepts from vertex form.
Official code: RF3
Quadratic functions in standard form
Characteristics from standard form
I can find a quadratic's characteristics from standard form.
Official code: RF4
Solving problems with quadratic functions
I can use a quadratic function to solve a real problem.
Official code: RF4
Quadratic equations
Solving quadratics by factoring
I can solve a quadratic equation by factoring.
Official code: RF5
Completing the square and the quadratic formula
I can solve quadratics by completing the square and the formula.
Official code: RF5
Applications of quadratic equations
I can model and solve a real problem with a quadratic equation.
Official code: RF5
Systems with quadratics
Linear-quadratic systems
I can solve a linear-quadratic system.
Official code: RF6
Quadratic-quadratic systems
I can solve a quadratic-quadratic system.
Official code: RF6
Linear and quadratic inequalities
Linear and quadratic inequalities in two variables
I can graph the solution region of a linear inequality in two variables.
Official code: RF7
Quadratic inequalities in two variables
I can graph the solution region of a quadratic inequality in two variables.
Official code: RF7
Quadratic inequalities in one variable
Solving quadratic inequalities in one variable
I can solve a quadratic inequality in one variable.
Official code: RF8
The official wording · 18 outcomes
- RF1
- Factor polynomial expressions of the form
- RF1
- Factor polynomial expressions of the form
- RF1
- Factor polynomial expressions of the form
- RF1
- Factor polynomial expressions of the form
- RF2
- Graph and analyze absolute value functions (limited to linear and quadratic functions) to solve problems
- RF2
- Graph and analyze absolute value functions (limited to linear and quadratic functions) to solve problems
- RF3
- Analyze quadratic functions of the form
- RF3
- Analyze quadratic functions of the form
- RF4
- Analyze quadratic functions of the form
- RF4
- Analyze quadratic functions of the form
- RF5
- problems that involve quadratic equations
- RF5
- Solve problems that involve quadratic equations
- RF5
- Solve problems that involve quadratic equations
- RF6
- problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables
- RF6
- systems of linear-quadratic and quadratic-quadratic equations in two variables
- RF7
- problems that involve linear and quadratic inequalities in two variables
- RF7
- linear and quadratic inequalities in two variables
- RF8
- problems that involve quadratic inequalities in one variable
Key ideas
Decompose the middle term using factors of a·c that add to b.
Absolute value reflects any negative part of a graph above the x-axis.
In y = a(x − p)² + q, the vertex is (p, q).
Completing the square converts standard form to vertex form.
Set the equation equal to zero first.
Watch out for
- Ignoring the leading coefficient in the decomposition.
- Shifting the whole graph up instead of reflecting the negative part.
- Reading the vertex as (−p, q) with the wrong sign.
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?
New Brunswick has 3 math courses for Grade 11. Here they are side by side.
- Financial and Workplace Mathematics 1104 units · 30 skillsNo provincial examWhat it coversGeometry · Number · Algebra · Statistics
- Foundations of Mathematics 1104 units · 28 skillsNo provincial examWhat it coversLogical Reasoning · Geometry · Relations and Functions · Number
- Pre-Calculus 110This course3 units · 30 skillsNo provincial examWhat it coversAlgebra and Number · Trigonometry · Relations and Functions
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 New Brunswick’s own curriculum for Pre-Calculus 110.
Textbooks
The course’s curriculum guide names its core resource:
“From the core resource, the Chapter 3 Study Quiz is an excellent formative assessment tool (… Pre-Calculus 11 > Student Centre > Chapter 3)”
- Pre-Calculus 11
From the course’s curriculum guide, read October 28, 2026. gnb.ca
Study it in MapleMind
MapleMind teaches Pre-Calculus 110 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 110 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
- 1,378
- Price
- $4.99
Questions about Pre-Calculus 110
What is Pre-Calculus 110?
New Brunswick’s Grade 11 math course: 3 units and 30 skills, from Algebra and Number to Relations and Functions.
What units are in Pre-Calculus 110?
1. Algebra and Number, 2. Trigonometry and 3. Relations and Functions.
Is there a provincial exam for Pre-Calculus 110?
No. New Brunswick gives no provincial exam for Pre-Calculus 110.
What textbook does Pre-Calculus 110 use?
The course’s curriculum guide names its core resource: Pre-Calculus 11, McGraw-Hill Ryerson.
What comes after Pre-Calculus 110?
Calculus 120, Financial and Workplace Mathematics 120, Foundations of Mathematics 120, Pre-Calculus 120A and Pre-Calculus 120B.
Can MapleMind help with Pre-Calculus 110?
Yes. MapleMind teaches every skill of Pre-Calculus 110, 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 110
Practise every skill of Pre-Calculus 110 in MapleMind, free with daily limits.
