Prince Edward Island · Grade 11
Foundations of Mathematics 11
- MAT521A
Prince Edward Island’s Grade 11 math course, from Geometry to Relations and Functions.
- Units
- 4
- Lessons
- 10
- Skills
- 29
- 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 · 9 skills
Geometry
Proofs about angles and triangles
Deriving angle-property proofs
I can derive a proof about angle properties.
Official code: G1
Deriving triangle-property proofs
I can derive a proof about triangle properties.
Official code: G1
Building and presenting geometric proofs
I can build and present a multi-step geometric proof.
Official code: G1
Angle and triangle problems
Solving angle-property problems
I can solve problems using angle properties.
Official code: G2
Solving triangle-property problems
I can solve problems using triangle properties.
Official code: G2
Congruent-triangle problems
I can use congruence conditions to solve triangle problems.
Official code: G2
The cosine law and the sine law
The cosine law
I can use the cosine law to solve a triangle.
Official code: G3
The sine law
I can use the sine law to solve a triangle.
Official code: G3
Choosing between the sine and cosine laws
I can choose the right law and solve a triangle problem.
Official code: G3
The official wording · 9 outcomes
- G1
- Derive proofs that involve the properties of angles and triangles
- G1
- Derive proofs that involve the properties of angles and triangles
- G1
- Derive proofs that involve the properties of angles and triangles
- G2
- Solve problems that involve the properties of angles and triangles
- G2
- Solve problems that involve the properties of angles and triangles
- G2
- Solve problems that involve the properties of angles and triangles
- G3
- Solve problems that involve the cosine law and the sine law
- G3
- Solve problems that involve the cosine law and the sine law
- G3
- Solve problems that involve the cosine law and the sine law
Key ideas
A proof states each claim with a reason from a known rule.
Combine angle facts step by step to find an unknown.
The cosine law is c² = a² + b² − 2ab·cos(C).
Angles on a straight line sum to 180°; around a point, to 360°.
Parallel-line relationships give equal or supplementary angles.
Watch out for
- Stating a conclusion without a supporting reason.
- Assuming lines are parallel without being told.
- Using the cosine law when the angle is not the included angle.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 5 skills
Logical Reasoning
Inductive and deductive reasoning
Inductive reasoning and conjectures
I can make a conjecture using inductive reasoning.
Official code: LR1
Deductive reasoning and proof
I can prove a conjecture using deductive reasoning.
Official code: LR1
Analysing reasoning and finding errors
I can analyse an argument and find a reasoning error.
Official code: LR1
Puzzles and games with spatial reasoning
Strategies for spatial puzzles
I can apply a strategy to a spatial puzzle.
Official code: LR2
Analysing why a strategy wins
I can analyse why a game strategy always works.
Official code: LR2
The official wording · 5 outcomes
- LR1
- Analyse and prove conjectures using inductive and deductive reasoning
- LR1
- Analyse and prove conjectures using inductive and deductive reasoning
- LR1
- Analyse and prove conjectures using inductive and deductive reasoning
- LR2
- Analyse puzzles and games that involve spatial reasoning, using problem-solving strategies
- LR2
- Analyse puzzles and games that involve spatial reasoning, using problem-solving strategies
Key ideas
Inductive reasoning generalizes from specific observations.
Spatial reasoning pictures and manipulates shapes mentally.
A conjecture is a statement believed true but not yet proven.
Common strategies include working backward and breaking into cases.
A single counterexample disproves a conjecture.
Watch out for
- Treating a pattern in examples as a proof.
- Guessing instead of planning a strategy.
- Ignoring a counterexample that breaks the pattern.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 8 skills
Measurement
Rates
Understanding and computing rates
I can compute and compare rates.
Official code: M1
Solving problems with rates
I can solve multi-step problems using rates.
Official code: M1
Scale diagrams
Reading scale diagrams
I can find real measurements from a scale diagram.
Official code: M2
Creating scale diagrams
I can draw a scale diagram of a real object.
Official code: M2
Solving scale-diagram problems
I can solve applied problems with scale diagrams.
Official code: M2
Scale factor, area and 3-D objects
Scale factor and length
I can use a scale factor to relate lengths of similar shapes.
Official code: M3
Scale factor and area
I can relate scale factor to the area of similar shapes.
Official code: M3
Scale factor on 3-D objects
I can apply a scale factor to a 3-D object.
Official code: M3
The official wording · 8 outcomes
- M1
- Solve problems that involve the application of rates
- M1
- Solve problems that involve the application of rates
- M2
- Solve problems that involve scale diagrams, using proportional reasoning
- M2
- Solve problems that involve scale diagrams, using proportional reasoning
- M2
- Solve problems that involve scale diagrams, using proportional reasoning
- M3
- understanding of the relationships between scale factors and areas of similar 2-D shapes, and the application of scale factor on 3-D objects
- M3
- understanding of the relationships between scale factors and areas of similar 2-D shapes
- M3
- the application of scale factor on 3-D objects
Key ideas
A rate compares two quantities with different units (km/h, $/kg).
A scale (e.g. 1:50) states the ratio of diagram to real length.
The scale factor is the ratio of corresponding lengths.
A unit rate expresses the amount per single unit.
Multiply a diagram length by the scale to get the real length.
Watch out for
- Dropping the units and losing the rate's meaning.
- Multiplying by the scale in the wrong direction.
- Adding instead of multiplying by the scale factor.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 7 skills
Relations and Functions
Systems of linear inequalities
Graphing a linear inequality
I can graph a linear inequality.
Official code: RF1
Solving systems of linear inequalities
I can find the solution region of a system of inequalities.
Official code: RF1
Modelling problems with inequality systems
I can model a real problem as a system of inequalities.
Official code: RF1
Characteristics of quadratic functions
The vertex of a quadratic function
I can find the vertex of a quadratic function.
Official code: RF2
Intercepts of a quadratic function
I can find the intercepts of a quadratic function.
Official code: RF2
Domain and range of a quadratic function
I can state the domain and range of a quadratic function.
Official code: RF2
Axis of symmetry of a quadratic function
I can find and use the axis of symmetry of a parabola.
Official code: RF2
The official wording · 7 outcomes
- RF1
- Model and solve problems that involve systems of linear inequalities in two variables
- RF1
- Model and solve problems that involve systems of linear inequalities in two variables
- RF1
- Model and solve problems that involve systems of linear inequalities in two variables
- RF2
- characteristics of quadratic functions, including: x vertex
- RF2
- characteristics of quadratic functions, including: x intercepts
- RF2
- characteristics of quadratic functions, including: x domain and range
- RF2
- characteristics of quadratic functions, including: x axis of symmetry
Key ideas
The boundary line is solid for ≤/≥ and dashed for </>.
The vertex is the parabola's highest or lowest point.
The solution is the half-plane on one side of the line.
It is a maximum when the parabola opens down, a minimum when it opens up.
A test point decides which side to shade.
Watch out for
- Using a solid line for a strict inequality.
- Confusing the vertex with a y-intercept.
- Shading the wrong side of the boundary.
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 11This courseMAT521A4 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 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 Foundations of Mathematics 11.
Textbooks
The textbooks PEI Department of Education and Early Years lists for Foundations of Mathematics 11:
- Foundations of Mathematics 11
From Senior High Program of Studies and Authorized Materials, 2026-2027, read October 27, 2026. princeedwardisland.ca
Strands
| Strand | Outcomes | Taught in |
|---|---|---|
| GGeometry | Outcomes 3 | Taught in Unit 1 |
| LRLogical Reasoning | Outcomes 2 | Taught in Unit 2 |
| MMeasurement | Outcomes 3 | Taught in Unit 3 |
| RFRelations and Functions | Outcomes 2 | Taught in Unit 4 |
Study it in MapleMind
MapleMind teaches Foundations of Mathematics 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 Foundations of Mathematics 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
- 29
- Fillable fields
- 1,398
- Price
- $4.99
Questions about Foundations of Mathematics 11
What is Foundations of Mathematics 11?
Prince Edward Island’s Grade 11 math course: 4 units and 29 skills, from Geometry to Relations and Functions.
What units are in Foundations of Mathematics 11?
1. Geometry, 2. Logical Reasoning, 3. Measurement and 4. Relations and Functions.
Is there a provincial exam for Foundations of Mathematics 11?
No. Prince Edward Island gives no provincial exam for Foundations of Mathematics 11.
What textbook does Foundations of Mathematics 11 use?
The textbooks PEI Department of Education and Early Years lists for Foundations of Mathematics 11: Foundations of Mathematics 11, Nelson Education.
What comes after Foundations of Mathematics 11?
Calculus 12, Foundations of Mathematics 12, Pre-Calculus 12 and Apprenticeship and Workplace Mathematics 12.
Can MapleMind help with Foundations of Mathematics 11?
Yes. MapleMind teaches every skill of Foundations of Mathematics 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 Foundations of Mathematics 11
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