Prince Edward Island · Grade 11
Pre-Calculus Elective
- MAT521E
Prince Edward Island’s Grade 11 math course, from Financial Mathematics to Permutations, Combinations and Binomial Theorem.
- Units
- 4
- Lessons
- 17
- Skills
- 34
- Provincial exam
- None
- Official curriculum
- Prince Edward Island Department of Education and Early Years
Unit by unit
Every skill in the course, numbered by unit.
Unit 1 · 9 skills
Financial Mathematics
Earning income
Wages, salary and contracts
I can calculate pay from wages, a salary, or a contract.
Skill 1.1
Commission and piecework
I can calculate pay from commission and piecework.
Skill 1.2
Gross and net pay
I can find net pay from gross pay after deductions.
Skill 1.3
Compound interest
Calculating compound interest
I can calculate an amount that grows by compound interest.
Skill 1.4
Using compound interest in decisions
I can use compound interest to compare financial choices.
Skill 1.5
Renting, leasing and buying
Comparing the costs of renting, leasing and buying
I can compare the total cost of renting, leasing, and buying.
Skill 1.6
Weighing the benefits of renting, leasing and buying
I can weigh the benefits and trade-offs of each option.
Skill 1.7
Developing a budget
Building a budget
I can build a budget from income and expenses.
Skill 1.8
Adjusting a budget to circumstances
I can adjust a budget to meet a goal or a change.
Skill 1.9
The official wording · 9 outcomes
- 1.1
- understanding of income, including wages; salary; contracts
- 1.2
- understanding of income, including commission; piecework to calculate gross and net pay
- 1.3
- understanding of income, including wages; salary; contracts; commission; piecework to calculate gross and net pay
- 1.4
- Solve problems that involve compound interest in financial decision making
- 1.5
- Solve problems that involve compound interest in financial decision making
- 1.6
- Analyse costs and benefits of renting, leasing and buying
- 1.7
- Analyse costs and benefits of renting, leasing and buying
- 1.8
- Develop a budget for a given set of circumstances
- 1.9
- Develop a budget for a given set of circumstances
Key ideas
Compound interest adds each period's interest to the principal before the next period.
Renting has no upfront cost but no ownership.
A budget lists income and groups expenses into categories.
The future value is A = P(1 + i)ⁿ, i the periodic rate and n the number of periods.
Leasing has payments and often a buyout option.
Watch out for
- Using the annual rate without dividing by periods per year.
- Comparing only monthly payments, ignoring upfront costs.
- Forgetting occasional or annual expenses.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 8 skills
Geometry
Basic geometric concepts
Points, lines, segments and planes
I can identify and describe points, lines, segments, and planes.
Skill 2.1
Angles and 2-D figures
I can identify and describe angles and 2-D figures.
Skill 2.2
Parallel and perpendicular lines
Identifying parallel and perpendicular lines
I can identify parallel and perpendicular lines.
Skill 2.3
Angle relationships from parallel and perpendicular lines
I can use parallel-line angle relationships to find angles.
Skill 2.4
Triangles
Classifying triangles
I can classify triangles and use the angle sum.
Skill 2.5
Side and angle relationships in triangles
I can use triangle side and angle relationships to solve problems.
Skill 2.6
Congruent triangles
Congruence conditions
I can identify congruent triangles using congruence conditions.
Skill 2.7
Solving problems with congruent triangles
I can use congruence to find unknowns and justify results.
Skill 2.8
The official wording · 8 outcomes
- 2.1
- understanding of basic geometric concepts, including points; lines; line segments; planes
- 2.2
- understanding of basic geometric concepts, including angles; two-dimensional figures
- 2.3
- Demonstrate an understanding of parallel and perpendicular lines
- 2.4
- Demonstrate an understanding of parallel and perpendicular lines
- 2.5
- Demonstrate an understanding of triangles
- 2.6
- Demonstrate an understanding of triangles
- 2.7
- Demonstrate an understanding of congruent triangles
- 2.8
- Demonstrate an understanding of congruent triangles
Key ideas
A point marks a location; a line extends without end in both directions.
Parallel lines stay the same distance apart and never meet.
Triangles are classified by sides (scalene, isosceles, equilateral).
SSS, SAS, ASA, and AAS each guarantee congruence.
A line segment has two endpoints; a plane is a flat surface extending without end.
Watch out for
- Confusing a line (infinite) with a segment (finite).
- Calling lines parallel when they only look close.
- Thinking the angle sum can exceed 180°.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 9 skills
Logical Reasoning
Inductive reasoning
Making conjectures inductively
I can make a conjecture using inductive reasoning.
Skill 3.1
Testing conjectures and solving problems
I can test a conjecture and use it to solve a problem.
Skill 3.2
Logical reasoning
Conditional statements and their forms
I can analyse a conditional statement and its related forms.
Skill 3.3
Valid arguments and reasoning errors
I can judge an argument's validity and spot reasoning errors.
Skill 3.4
Deductive reasoning
Proving conjectures deductively
I can prove a conjecture using deductive reasoning.
Skill 3.5
Deductive reasoning in problem solving
I can use deductive reasoning to solve a logic problem.
Skill 3.6
Geometric and algebraic proofs
Writing geometric proofs
I can write a geometric proof.
Skill 3.7
Writing algebraic proofs
I can write an algebraic proof.
Skill 3.8
Indirect proof
Proof by contradiction
I can prove a conjecture by contradiction.
Skill 3.9
The official wording · 9 outcomes
- 3.1
- Analyse and prove conjectures, using inductive reasoning, to solve problems
- 3.2
- Analyse and prove conjectures, using inductive reasoning, to solve problems
- 3.3
- Demonstrate an understanding of logical reasoning
- 3.4
- Demonstrate an understanding of logical reasoning
- 3.5
- Analyse and prove conjectures, using deductive reasoning, to solve problems
- 3.6
- Analyse and prove conjectures, using deductive reasoning, to solve problems
- 3.7
- Use logical reasoning to write geometric and algebraic proofs
- 3.8
- Use logical reasoning to write geometric and algebraic proofs
- 3.9
- Analyse and prove conjectures, using indirect proof
Key ideas
Inductive reasoning generalizes from specific cases.
A conditional 'if p then q' has a hypothesis and a conclusion.
Deductive reasoning draws a certain conclusion from premises.
Each statement in a proof has a justifying reason.
Assume the opposite of what you want to prove.
Watch out for
- Treating examples as a proof.
- Assuming the converse of a true statement is true.
- Checking cases and calling it deductive proof.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 8 skills
Permutations, Combinations and Binomial Theorem
Probability
Probability of an event
Theoretical probability of an event
I can find the theoretical probability of an event.
Skill 4.1
Experimental probability
I can find experimental probability and compare it to theory.
Skill 4.2
Odds and probability statements
Odds and probability
I can interpret odds and convert between odds and probability.
Skill 4.3
Assessing probability statements
I can judge whether a probability statement is valid.
Skill 4.4
Independent and dependent events
Independent events
I can find probabilities of independent events.
Skill 4.5
Dependent events
I can find probabilities of dependent events.
Skill 4.6
Mutually exclusive events
Mutually exclusive events
I can find probabilities of mutually exclusive events.
Skill 4.7
Events that are not mutually exclusive
I can find probabilities of events that can overlap.
Skill 4.8
The official wording · 8 outcomes
- 4.1
- Demonstrate an understanding of the probability of an event
- 4.2
- Demonstrate an understanding of the probability of an event
- 4.3
- Interpret and assess the validity of odds and probability statements
- 4.4
- Interpret and assess the validity of odds and probability statements
- 4.5
- Demonstrate an understanding of events that are independent or dependent
- 4.6
- Demonstrate an understanding of events that are independent or dependent
- 4.7
- Demonstrate an understanding of events that are mutually exclusive and not mutually exclusive
- 4.8
- Demonstrate an understanding of events that are mutually exclusive and not mutually exclusive
Key ideas
Probability = favourable outcomes / total outcomes for equally likely cases.
Odds in favour are favourable : unfavourable outcomes.
Independent events do not affect each other.
Mutually exclusive events cannot happen at the same time.
Probability ranges from 0 (impossible) to 1 (certain).
Watch out for
- Giving a probability greater than 1.
- Treating odds a:b as the probability a/b.
- Adding probabilities instead of multiplying for 'and'.
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 11MAT521B3 units · 35 skillsNo provincial examWhat it coversAlgebra and Number · Relations and Functions · Trigonometry
- Pre-Calculus ElectiveThis courseMAT521E4 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 Elective.
Textbooks
The textbooks PEI Department of Education and Early Years lists for Pre-Calculus Elective:
- Geometry
- Mathematics of Data Management
From Senior High Program of Studies and Authorized Materials, 2026-2027, read October 27, 2026. princeedwardisland.ca
Strands
| Strand | Outcomes | Taught in |
|---|---|---|
| FMFinancial Mathematics | Outcomes 4 | Taught in Unit 1 |
| GGeometry | Outcomes 4 | Taught in Unit 2 |
| LRLogical Reasoning | Outcomes 5 | Taught in Unit 3 |
| PProbability | Outcomes 4 | Taught in Unit 4Permutations, Combinations and Binomial Theorem |
Study it in MapleMind
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Course Companion
Your year in one workbook
A fun way to keep Pre-Calculus Elective 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
- 32
- Fillable fields
- 1,487
- Price
- $4.99
Questions about Pre-Calculus Elective
What is Pre-Calculus Elective?
Prince Edward Island’s Grade 11 math course: 4 units and 34 skills, from Financial Mathematics to Permutations, Combinations and Binomial Theorem.
What units are in Pre-Calculus Elective?
1. Financial Mathematics, 2. Geometry, 3. Logical Reasoning and 4. Permutations, Combinations and Binomial Theorem.
Is there a provincial exam for Pre-Calculus Elective?
No. Prince Edward Island gives no provincial exam for Pre-Calculus Elective.
What textbook does Pre-Calculus Elective use?
The textbooks PEI Department of Education and Early Years lists for Pre-Calculus Elective: Geometry, McGraw-Hill Ryerson and Mathematics of Data Management, McGraw-Hill Ryerson.
What comes after Pre-Calculus Elective?
Calculus 12, Foundations of Mathematics 12, Pre-Calculus 12 and Apprenticeship and Workplace Mathematics 12.
Can MapleMind help with Pre-Calculus Elective?
Yes. MapleMind teaches every skill of Pre-Calculus Elective, 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 Elective
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