Prince Edward Island · Grades 11 and 12

Applied Mathematics

  • MAT801A

Prince Edward Island’s Grades 11 and 12 math course, from Number to Data Management.

Units
6
Lessons
11
Skills
46
Provincial exam
None

Unit by unit

Every skill in the course, with its official code.

Unit 1 · 4 skills

Number

Working with fractions

The official wording · 4 outcomes
A1
demonstrate an understanding of simple fractional parts
A2
identify and describe factions and mixed numbers concretely, pictorially, and symbolically
A3
rename fractions
A4
compare and order fractions

Key ideas

  1. A fraction names equal parts of a whole or a set.

  2. The denominator tells how many equal parts; the numerator how many are counted.

  3. Common shop fractions are halves, quarters, eighths, and sixteenths.

  4. A mixed number combines a whole number and a fraction.

  5. An improper fraction has a numerator larger than its denominator.

Watch out for

  • Reading the numerator as the number of parts in the whole.
  • Assuming parts are equal when they are not.
  • Reading a mixed number's whole part as part of the numerator.

Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit

Unit 2 · 16 skills

Operations

Mental math and estimation

Fractions and decimals

Denominate numbers and conversions

Ratio, percent, and job estimates

The official wording · 16 outcomes
B1
use mental math and estimation strategies for operations involving integers and decimal fractions
B2
apply mental math and estimation strategies in problem situations when appropriate
B3
perform operations involving integers and decimal fractions in practice and problem situations using the most appropriate method
B4
add and subtract fractions concretely, pictorially, and symbolically
B5
add and subtract fractions in problem situations using the most appropriate method
B6
convert common fractions to decimal fractions
B7
convert decimal fractions to a common 16th fraction
B8
add and subtract denominate numbers
B9
multiply and divide denominate numbers by whole numbers
B10
convert between measurements mentally when appropriate
B11
convert between measurements within, or between, systems of measurement using the concept of rate
B12
apply the concept of ratio in problem situa- tions related to rafter: span, height, line, and pitch
B13
estimate material quantities and cost in prob- lem situations
B14
apply percent in problem situations
B15
calculate lumber quantities using lineal feet and board feet
B16
calculate total voltage for dry cells connected in series and parallel

Key ideas

  1. Rounding to friendly numbers makes an estimate quick.

  2. Fractions must share a common denominator before adding or subtracting.

  3. A denominate number carries a unit, such as 5 ft 8 in.

  4. Roof pitch is the ratio of rise (height) to run (half the span).

  5. Front-end estimation uses the leading digits first.

Watch out for

  • Rounding after computing instead of before, for an estimate.
  • Adding numerators and denominators straight across.
  • Failing to regroup 12 inches into a foot.

Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit

Unit 3 · 10 skills

Patterns and Relations

The Pythagorean Theorem on the job

Circuits, Ohm's Law, power and energy

The official wording · 10 outcomes
C1
apply the Pythagorean Theorem in problem situations related to identifying right angles
C2
analyse, explain, and construct developments in problem situations pertaining to real number operations and the concept of scale
C3
apply the Pythagorean Theorem in problem situations related to rafter: span, height, and line
C4
solve for single variables in problem situations using the Pythagorean Theorem
C5
calculate the total (equivalent) resistance for resistors when connected in series and parallel
C6
solve for single variables in problem situations using Ohm’s Law
C7
analyse series and parallel ciruits to determine the voltage, current, and resistance at any devise (resistor) using the most appropriate method
C8
solve for single variables in problem situations involving electrical power
C9
solve for single variables in problem situations involving electrical energy
C10
identify and describe patterns between perim- eter and surface area

Key ideas

  1. In a right triangle, a squared plus b squared equals c squared.

  2. Resistors in series add: total equals the sum.

  3. If three measured sides satisfy that equation, the corner is square.

  4. Resistors in parallel combine by the reciprocal rule.

  5. A 3-4-5 triangle is the quick shop check for square.

Watch out for

  • Using the theorem on a non-right triangle.
  • Adding resistances straight across for parallel.
  • Squaring only two of the three sides.

Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit

Unit 4 · 4 skills

Measurement

Measuring devices

The official wording · 4 outcomes
D1
select and use appropriate measuring devices involving metric measurement
D2
select and use appropriate measuring devices involving imperial measurement
D3
construct and use appropriate measuring devices related to the concept of scale
D4
select and use appropriate measuring devices involving electrical quantitites

Key ideas

  1. Metric rulers and tapes read in millimetres, centimetres, and metres.

  2. Choose a device suited to the size and precision of the job.

  3. Read the scale to its smallest marked division.

  4. Imperial tapes read in feet, inches, and fractions of an inch.

  5. Read fractional marks (halves, quarters, eighths, sixteenths) correctly.

Watch out for

  • Reading centimetres as millimetres.
  • Choosing a tool too coarse for the precision needed.
  • Misreading the fractional marks on a tape.

Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit

Unit 5 · 11 skills

Geometry (Spatial Sense)

Orthographic and isometric drawing

Perimeter, area, and volume

The official wording · 11 outcomes
E1
construct shapes from mat plans and 3 - view orthographic drawings
E2
create 3-view orthographic drawings from mat plans and vice versa
E3
create isometric drawings from mat plans
E4
identify isometric drawings from a combination of composite isometric drawings
E5
identify and draw hidden and missing lines on a 3-view orthographic drawing
E6
create isometric drawings from 3-view ortho- graphic drawings and vice versa
E7
calculate the perimeter of polygons and circles
E8
calculate the surface areas of polygons, circles and right prisms
E9
calculate the volumes of right prisms
E10
identify and describe patterns between surface area and volume of right prisms.
E11
construct right prisms from component polygons/circles and nets

Key ideas

  1. A mat plan shows how many cubes stand on each square of a base.

  2. The perimeter of a polygon is the sum of its side lengths.

  3. Three orthographic views (top, front, side) fix the shape.

  4. The circumference of a circle is pi times the diameter.

  5. Together they let you construct the object.

Watch out for

  • Reading a mat-plan number as a height in units other than cubes.
  • Using the radius instead of the diameter for circumference.
  • Ignoring one of the three views.

Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit

Unit 6 · 1 skill

Data Management

Organizing data

The official wording · 1 outcomes
F1
organize and compile data in appropriate formats to facilitate data treatment

Key ideas

  1. A table, tally, or chart makes data easier to read and total.

  2. The right format depends on what the data will be used for.

  3. Compiling gathers scattered readings into one organized record.

Watch out for

  • Leaving data in a disorganized list.
  • Choosing a format that hides the totals needed.

Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit

Which course?

Prince Edward Island has 9 math courses for Grades 11 and 12. Here they are side by side.

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 Applied Mathematics.

Applied Mathematics Curriculum GuidePrince Edward Island Department of Education and Early Years · princeedwardisland.ca · Read August 7, 2026

Textbooks

The textbooks PEI Department of Education and Early Years lists for Applied Mathematics:

  • Applied Mathematics 801APrince Edward Island

From Senior High Program of Studies and Authorized Materials, 2026-2027, read October 27, 2026. princeedwardisland.ca

Study it in MapleMind

MapleMind teaches Applied Mathematics 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.

Biology 11 (BIO521A) in the MapleMind app on a tablet: its units, Unit 1 open, and the skills done so far with their starsBiology 11 (BIO521A) in the MapleMind app on a phone: its units, Unit 1 open, and the skills done so far with their stars
Pictured: Biology 11 (BIO521A), another Prince Edward Island course, partway through Unit 1.

Practise it

Course Companion

Your year in one workbook

A fun way to keep Applied Mathematics 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
36
Fillable fields
1,749
Price
$4.99
See the Course Companion

Questions about Applied Mathematics

What is Applied Mathematics?

Prince Edward Island’s Grades 11 and 12 math course: 6 units and 46 skills, from Number to Data Management.

What units are in Applied Mathematics?

1. Number, 2. Operations, 3. Patterns and Relations, 4. Measurement, 5. Geometry (Spatial Sense) and 6. Data Management.

Is there a provincial exam for Applied Mathematics?

No. Prince Edward Island gives no provincial exam for Applied Mathematics.

What textbook does Applied Mathematics use?

The textbooks PEI Department of Education and Early Years lists for Applied Mathematics: Applied Mathematics 801A, Prince Edward Island.

Can MapleMind help with Applied Mathematics?

Yes. MapleMind teaches every skill of Applied Mathematics, 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 Applied Mathematics

Practise every skill of Applied Mathematics in MapleMind, free with daily limits.