Prince Edward Island · Grade 12
Apprenticeship and Workplace Mathematics 12
- MAT621K
Prince Edward Island’s Grade 12 math course, from Geometry to Permutations, Combinations and Binomial Theorem.
- Units
- 4
- Lessons
- 7
- Skills
- 26
- 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 · 12 skills
Geometry
Sine law and cosine law on the job
Solving problems with the sine law
I can use the sine law to solve an oblique-triangle problem on the job.
Skill 1.1
Solving problems with the cosine law
I can use the cosine law to solve an oblique-triangle problem.
Skill 1.2
Choosing the right law for the job
I can pick the right law for the information a job gives me and solve.
Skill 1.3
Triangles, quadrilaterals and regular polygons
Problems involving triangles
I can solve a layout problem that involves a triangle.
Skill 1.4
Problems involving quadrilaterals
I can solve a problem that involves a quadrilateral.
Skill 1.5
Problems involving regular polygons
I can solve a layout problem that involves a regular polygon.
Skill 1.6
Composite and irregular figures
I can solve a layout problem by breaking a composite figure into simpler shapes.
Skill 1.7
Transformations of shapes and objects
Translations of shapes and objects
I can describe and apply a translation of a shape or object.
Skill 1.8
Rotations of shapes and objects
I can describe and apply a rotation of a shape or object.
Skill 1.9
Reflections of shapes and objects
I can describe and apply a reflection of a shape or object.
Skill 1.10
Dilations of shapes and objects
I can describe and apply a dilation of a shape or object.
Skill 1.11
Combining transformations to map a figure
I can combine transformations to map one figure onto another.
Skill 1.12
The official wording · 12 outcomes
- 1.1
- Solve problems by using the sine law
- 1.2
- using the cosine law
- 1.3
- Solve problems by using the sine law and cosine law, excluding the ambiguous case
- 1.4
- Solve problems that involve: triangles
- 1.5
- Solve problems that involve: quadrilaterals
- 1.6
- Solve problems that involve: regular polygons
- 1.7
- Solve problems that involve: triangles; quadrilaterals; regular polygons
- 1.8
- transformations on a 2-D shape or a 3-D object, including: translations
- 1.9
- transformations on a 2-D shape or a 3-D object, including: rotations
- 1.10
- transformations on a 2-D shape or a 3-D object, including: reflections
- 1.11
- transformations on a 2-D shape or a 3-D object, including: dilations
- 1.12
- Demonstrate an understanding of transformations on a 2-D shape or a 3-D object
Key ideas
The sine law says each side over the sine of its opposite angle is equal.
The angles of any triangle add to 180 degrees.
A translation slides every point the same distance in the same direction.
Use it when you know an angle and the side across from it, plus one more piece.
The longest side is opposite the largest angle.
Watch out for
- Pairing a side with an angle it is not opposite to.
- Assuming a triangle is right-angled when it is not.
- Rotating or resizing while sliding.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 5 skills
Measurement
Limitations of measuring instruments
Precision of a measuring instrument
I can describe the precision of a measuring instrument.
Skill 2.1
Accuracy of a measurement
I can describe the accuracy of a measurement.
Skill 2.2
Uncertainty in a measurement
I can state the uncertainty in a measurement.
Skill 2.3
Tolerance and solving problems
I can use tolerance to decide whether a part passes.
Skill 2.4
Tolerance stack-up problems
I can solve a problem where several toleranced parts stack together.
Skill 2.5
The official wording · 5 outcomes
- 2.1
- limitations of measuring instruments, including: precision
- 2.2
- limitations of measuring instruments, including: accuracy
- 2.3
- limitations of measuring instruments, including: uncertainty
- 2.4
- limitations of measuring instruments, including: tolerance and solve problems
- 2.5
- limitations of measuring instruments, including: tolerance and solve problems
Key ideas
Precision is the smallest division an instrument can read.
A caliper reading to 0.01 mm is more precise than a ruler to 1 mm.
Precision is about fineness, not about being correct.
Accuracy is how close a reading is to the true value.
A tool can be precise but inaccurate if it is not calibrated.
Watch out for
- Confusing precision (fineness) with accuracy (correctness).
- Recording more decimal places than the tool can read.
- Assuming a precise tool is automatically accurate.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 6 skills
Number
Puzzles and games
Finding a winning strategy
I can analyse a game to find a winning strategy.
Skill 3.1
Problem-solving techniques for puzzles
I can pick a problem-solving technique to crack a logic puzzle.
Skill 3.2
Logical reasoning on the job
I can use logical reasoning to plan the steps of a job efficiently.
Skill 3.3
Acquiring a vehicle
Buying a vehicle
I can find the real cost of buying a vehicle.
Skill 3.4
Leasing a vehicle
I can find the cost of leasing a vehicle.
Skill 3.5
Leasing to buy, and comparing options
I can compare buying, leasing, and leasing to buy to choose the best option.
Skill 3.6
The official wording · 6 outcomes
- 3.1
- Analyse puzzles and games that involve logical reasoning
- 3.2
- puzzles and games that involve logical reasoning, using problem-solving techniques
- 3.3
- puzzles and games that involve logical reasoning, using problem-solving techniques
- 3.4
- acquisition of a vehicle by: buying
- 3.5
- acquisition of a vehicle by: leasing
- 3.6
- acquisition of a vehicle by: leasing to buy
Key ideas
Looking at small or end cases first reveals a pattern.
Buying can be cash up front or financed with a loan.
A winning strategy holds no matter what the other player does.
A financed purchase adds interest to the price.
Working backward from a winning position finds the plan.
Watch out for
- Assuming a strategy works after testing only one opponent move.
- Comparing only the sticker price and ignoring interest.
- Confusing a lucky win with a guaranteed strategy.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 3 skills
Permutations, Combinations and Binomial Theorem
Probability
Interpreting probability
Interpreting a probability
I can interpret what a stated probability means.
Skill 4.1
Odds and likelihood
I can interpret odds and compare how likely events are.
Skill 4.2
Using probability to make decisions
I can use a probability to help make a decision.
Skill 4.3
The official wording · 3 outcomes
- 4.1
- Analyse and interpret problems that involve probability
- 4.2
- interpret problems that involve probability
- 4.3
- Analyse and interpret problems that involve probability
Key ideas
A probability is a number from 0 to 1, or a percent, giving the chance of an event.
0 means impossible, 1 means certain, and 0.5 means equally likely either way.
A probability describes the long run, not a guarantee for one trial.
Odds compare favourable outcomes to unfavourable ones (for-to-against).
Odds of 3-to-1 for an event mean a probability of 3 out of 4.
Watch out for
- Reading a probability as a certainty for a single event.
- Confusing a percent chance with a count.
- Treating odds of 3-to-1 as a probability of 3 out of 1.
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 12This courseMAT621K4 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 12MAT621B3 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 Apprenticeship and Workplace Mathematics 12.
Textbooks
The textbooks PEI Department of Education and Early Years lists for Apprenticeship and Workplace Mathematics 12:
- Math at Work 12
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 |
| MMeasurement | Outcomes 1 | Taught in Unit 2 |
| NNumber | Outcomes 2 | Taught in Unit 3 |
| PProbability | Outcomes 1 | Taught in Unit 4Permutations, Combinations and Binomial Theorem |
Study it in MapleMind
MapleMind teaches Apprenticeship and Workplace Mathematics 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 Apprenticeship and Workplace Mathematics 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
- 28
- Fillable fields
- 1,347
- Price
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Questions about Apprenticeship and Workplace Mathematics 12
What is Apprenticeship and Workplace Mathematics 12?
Prince Edward Island’s Grade 12 math course: 4 units and 26 skills, from Geometry to Permutations, Combinations and Binomial Theorem.
What units are in Apprenticeship and Workplace Mathematics 12?
1. Geometry, 2. Measurement, 3. Number and 4. Permutations, Combinations and Binomial Theorem.
Is there a provincial exam for Apprenticeship and Workplace Mathematics 12?
No. Prince Edward Island gives no provincial exam for Apprenticeship and Workplace Mathematics 12.
What textbook does Apprenticeship and Workplace Mathematics 12 use?
The textbooks PEI Department of Education and Early Years lists for Apprenticeship and Workplace Mathematics 12: Math at Work 12, McGraw-Hill Ryerson.
Can MapleMind help with Apprenticeship and Workplace Mathematics 12?
Yes. MapleMind teaches every skill of Apprenticeship and Workplace Mathematics 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.
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