Prince Edward Island · Grade 10
Apprenticeship and Workplace Mathematics 10
- MAT421K
Prince Edward Island’s Grade 10 math course, from Geometry to Number.
- Units
- 3
- Lessons
- 12
- Skills
- 30
- 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 · 16 skills
Geometry
Puzzles and games with spatial reasoning
Analysing spatial puzzles and games
I can use spatial reasoning to solve a puzzle or win a game.
Skill 1.1
The Pythagorean theorem on the job
Recognizing and verifying the Pythagorean theorem
I can spot right-triangle situations and verify the Pythagorean theorem.
Skill 1.2
Applying the Pythagorean formula
I can apply the Pythagorean formula to find a missing side.
Skill 1.3
Solving job problems with the Pythagorean theorem
I can solve real job problems with the Pythagorean theorem.
Skill 1.4
Similarity of polygons
Recognizing similar polygons
I can recognize when two polygons are similar.
Skill 1.5
Solving problems with similar polygons
I can use similarity to find an unknown side length.
Skill 1.6
Primary trigonometric ratios
Similar right triangles and constant ratios
I can use similar right triangles to compare side ratios.
Skill 1.7
Generalizing the ratio patterns
I can name the trig ratios from patterns in similar triangles.
Skill 1.8
Applying the primary trigonometric ratios
I can use sine, cosine, and tangent to find a side or angle.
Skill 1.9
Solving job problems with trigonometry
I can solve real height and distance problems with trigonometry.
Skill 1.10
Angle relationships between lines
Parallel, perpendicular and transversal lines
I can identify parallel, perpendicular, and transversal lines.
Skill 1.11
Angle pairs between lines
I can find angles formed where a transversal crosses lines.
Skill 1.12
Working with angles
Drawing angles of every type
I can draw angles of every type with a protractor.
Skill 1.13
Replicating and constructing angles
I can copy and construct an angle with compass and straightedge.
Skill 1.14
Bisecting angles
I can bisect an angle into two equal halves.
Skill 1.15
Solving problems with angles
I can solve problems using angle types and their measures.
Skill 1.16
The official wording · 16 outcomes
- 1.1
- Analyse puzzles and games that involve spatial reasoning, using problem-solving strategies
- 1.2
- understanding of the Pythagorean theorem by: identifying situations that involve right triangles; verifying the formula
- 1.3
- understanding of the Pythagorean theorem by: applying the formula
- 1.4
- understanding of the Pythagorean theorem by: solving problems
- 1.5
- understanding of similarity of convex polygons, including regular and irregular polygons
- 1.6
- understanding of similarity of convex polygons, including regular and irregular polygons
- 1.7
- understanding of primary trigonometric ratios (sine, cosine, tangent) by: applying similarity to right triangles
- 1.8
- primary trigonometric ratios (sine, cosine, tangent) by: generalizing patterns from similar right triangles
- 1.9
- primary trigonometric ratios (sine, cosine, tangent) by: applying the primary trigonometric ratios
- 1.10
- primary trigonometric ratios (sine, cosine, tangent) by: solving problems
- 1.11
- Solve problems that involve parallel, perpendicular and transversal lines
- 1.12
- Solve problems that involve parallel, perpendicular and transversal lines, and pairs of angles formed between them
- 1.13
- understanding of angles, including acute, right, obtuse, straight and reflex, by: drawing
- 1.14
- understanding of angles, including acute, right, obtuse, straight and reflex, by: replicating and constructing
- 1.15
- understanding of angles, including acute, right, obtuse, straight and reflex, by: bisecting
- 1.16
- understanding of angles, including acute, right, obtuse, straight and reflex, by: solving problems
Key ideas
Spatial reasoning means picturing, rotating, and fitting shapes mentally.
The Pythagorean theorem applies only to right triangles.
Similar polygons have equal corresponding angles.
All right triangles with the same acute angle are similar.
Parallel lines never meet and stay the same distance apart.
Watch out for
- Guessing randomly instead of applying a spatial strategy.
- Applying the theorem to a non-right triangle.
- Thinking equal angles alone make polygons similar.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 10 skills
Measurement
The SI (metric) system
SI units and their relationships
I can describe SI units and convert within the system.
Skill 2.1
Converting SI units to Imperial
I can convert SI measures to Imperial units.
Skill 2.2
The Imperial system
Imperial units and their relationships
I can describe Imperial units and convert within the system.
Skill 2.3
American and British capacity units
I can compare American and British capacity units.
Skill 2.4
Converting Imperial units to SI
I can convert Imperial measures to SI units.
Skill 2.5
Linear measurement in SI and Imperial
Solving linear measurement problems
I can solve linear measurement problems in SI and Imperial.
Skill 2.6
Verifying linear measurement solutions
I can verify a linear measurement solution.
Skill 2.7
Area of 2-D shapes and 3-D objects
Area of regular and composite 2-D shapes
I can find the area of regular and composite 2-D shapes.
Skill 2.8
Area of irregular 2-D shapes
I can estimate the area of an irregular 2-D shape.
Skill 2.9
Surface area of 3-D objects
I can find and verify the surface area of a 3-D object.
Skill 2.10
The official wording · 10 outcomes
- 2.1
- understanding of the Système International (SI) by: describing the relationships of the units for length, area, volume, capacity, mass and temperature
- 2.2
- understanding of the Système International (SI) by: applying strategies to convert SI units to imperial units
- 2.3
- understanding of the imperial system by: describing the relationships of the units for length, area, volume, capacity, mass and temperature
- 2.4
- understanding of the imperial system by: comparing the American and British imperial units for capacity
- 2.5
- understanding of the imperial system by: applying strategies to convert imperial units to SI units
- 2.6
- Solve and verify problems that involve SI and imperial linear measurements, including decimal and fractional measurements
- 2.7
- Solve and verify problems that involve SI and imperial linear measurements, including decimal and fractional measurements
- 2.8
- SI and imperial area measurements of regular, composite and irregular 2-D shapes
- 2.9
- SI and imperial area measurements of regular, composite and irregular 2-D shapes
- 2.10
- area measurements of regular, composite and irregular 2-D shapes and 3-D objects, including decimal and fractional measurements, and verify the solutions
Key ideas
SI prefixes (kilo, centi, milli) scale a base unit by powers of ten.
Imperial length units include inches, feet, yards, and miles.
A tape measure reads Imperial lengths in fractions of an inch.
A regular shape's area comes from a known formula.
Length, area, volume, capacity, mass, and temperature each have SI units.
Watch out for
- Moving the decimal the wrong direction when converting.
- Assuming Imperial converts by tens like metric.
- Adding inches without regrouping into feet.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 4 skills
Number
Unit pricing and currency exchange
Unit pricing and currency exchange
I can compare unit prices and convert currency using proportions.
Skill 3.1
Earning income
Wages, salary and contracts
I can calculate pay from wages, a salary, or a contract.
Skill 3.2
Commission and piecework
I can calculate pay from commission and piecework.
Skill 3.3
Gross and net pay
I can find net pay from gross pay after deductions.
Skill 3.4
The official wording · 4 outcomes
- 3.1
- Solve problems that involve unit pricing and currency exchange, using proportional reasoning
- 3.2
- understanding of income, including wages; salary; contracts
- 3.3
- understanding of income, including commission; piecework to calculate gross and net pay
- 3.4
- understanding of income, including wages; salary; contracts; commission; piecework to calculate gross and net pay
Key ideas
Unit price is total price divided by the number of units.
An hourly wage pays for hours worked, often with overtime above 40 hours.
Currency exchange is a proportion using the exchange rate.
A salary is a fixed annual amount divided over pay periods.
The lowest unit price is the best buy, all else equal.
Watch out for
- Comparing total prices instead of unit prices.
- Paying overtime at the regular rate.
- Using the exchange rate in the wrong direction.
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 2 math courses for Grade 10. Here they are side by side.
- Apprenticeship and Workplace Mathematics 10This courseMAT421K3 units · 30 skillsNo provincial examWhat it coversGeometry · Measurement · Number
- Foundations of Mathematics and Pre-Calculus 10MAT421A3 units · 32 skillsSchool-based Assessment in Grade 10 MathematicsWhat it coversAlgebra and Number · Measurement · 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 Prince Edward Island’s own curriculum for Apprenticeship and Workplace Mathematics 10.
Textbooks
The textbooks PEI Department of Education and Early Years lists for Apprenticeship and Workplace Mathematics 10:
- Math at Work 10
From Senior High Program of Studies and Authorized Materials, 2026-2027, read October 27, 2026. princeedwardisland.ca
Study it in MapleMind
MapleMind teaches Apprenticeship and Workplace Mathematics 10 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 10 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
- 1,370
- Price
- $4.99
Questions about Apprenticeship and Workplace Mathematics 10
What is Apprenticeship and Workplace Mathematics 10?
Prince Edward Island’s Grade 10 math course: 3 units and 30 skills, from Geometry to Number.
What units are in Apprenticeship and Workplace Mathematics 10?
1. Geometry, 2. Measurement and 3. Number.
Is there a provincial exam for Apprenticeship and Workplace Mathematics 10?
No. Prince Edward Island gives no provincial exam for Apprenticeship and Workplace Mathematics 10.
What textbook does Apprenticeship and Workplace Mathematics 10 use?
The textbooks PEI Department of Education and Early Years lists for Apprenticeship and Workplace Mathematics 10: Math at Work 10, McGraw-Hill Ryerson.
What comes after Apprenticeship and Workplace Mathematics 10?
Foundations of Mathematics 11, Pre-Calculus 11, Pre-Calculus Elective, Apprenticeship and Workplace Mathematics 11 and Applied Mathematics.
Can MapleMind help with Apprenticeship and Workplace Mathematics 10?
Yes. MapleMind teaches every skill of Apprenticeship and Workplace Mathematics 10, 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 Apprenticeship and Workplace Mathematics 10
Practise every skill of Apprenticeship and Workplace Mathematics 10 in MapleMind, free with daily limits.
