Nova Scotia · Grade 10

Mathematics at Work 10

Nova Scotia’s Grade 10 math course, from Measurement to Algebra.

Units
4
Lessons
12
Skills
24
Provincial exam
None

Unit by unit

Every skill in the course, with its official code.

Unit 1 · 9 skills

Measurement

The SI (metric) system at work

The imperial system at work

  • Relationships among imperial units

    I can describe imperial-unit relationships and compare American and British capacity units.

  • Converting imperial to SI units

    I can convert an imperial measurement to SI units on the job.

Solving linear measurement problems

Area and surface area on the job

The official wording · 9 outcomes
M01
describing the relationships of the units for length, area, volume, capacity, mass, and temperature
M01
applying strategies to convert SI units to imperial units
M02
describing the relationships of the units for length, area, volume, capacity, mass, and temperature ▪ comparing the American and British imperial units for capacity
M02
applying strategies to convert imperial units to SI units
M03
solve and verify problems that involve SI and imperial linear measurements, including decimal and fractional measurements
M03
solve and verify problems that involve SI and imperial linear measurements
M04
solve problems that involve SI and imperial area measurements of regular, composite, and irregular 2-D shapes
M04
solve problems that involve SI and imperial area measurements of regular, composite, and irregular 2-D shapes and 3-D objects
M04
solve problems that involve SI and imperial area measurements of regular, composite, and irregular 2-D shapes and 3-D objects

Key ideas

  1. SI is a base-ten system: each prefix (milli, centi, kilo) shifts the value by a power of ten.

  2. Imperial units relate by mixed factors (12 in = 1 ft, 3 ft = 1 yd) and use fractions.

  3. A referent is a personal benchmark (a thumb width ≈ 1 inch) for quick estimates.

  4. Area referents (a floor tile ≈ 1 ft², a fingernail ≈ 1 cm²) size up a space quickly.

  5. Length, mass, capacity, and temperature each have their own SI base unit.

Watch out for

  • Thinking there are 10 mm in a centimetre but 10 cm in a metre (it is 100).
  • Assuming imperial units scale by powers of ten like SI.
  • Reading a tape from the metal end instead of the zero mark.

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

Unit 2 · 9 skills

Geometry

Spatial puzzles and games

  • Strategies for spatial puzzles and games

    I can pick and verify a strategy to solve a spatial puzzle or win a game.

The Pythagorean theorem on the job

  • Verifying and identifying right triangles

    I can verify the Pythagorean theorem and check whether a corner is square.

  • Solving problems with the Pythagorean theorem

    I can solve a real construction problem with the Pythagorean theorem.

Similar polygons

Primary trigonometric ratios

  • Generalizing the sine, cosine, and tangent ratios

    I can generalize the sine, cosine, and tangent ratios from similar right triangles.

  • Applying trigonometry to indirect measurement

    I can use a trig ratio to find a length or angle indirectly.

Parallel lines, perpendiculars, and transversals

  • Angle pairs from parallel lines and a transversal

    I can name the angle pairs formed by parallel lines and a transversal.

  • Solving angle problems with transversals

    I can find unknown angles using parallel-line relationships.

The official wording · 9 outcomes
G01
analyze puzzles and games that involve spatial reasoning, using problem-solving strategies
G02
demonstrate an understanding of the Pythagorean theorem by identifying situations that involve right triangles, verifying the formula
G02
applying the formula, and solving problems
G03
demonstrate an understanding of similarity of convex polygons, including regular and irregular polygons
G03
similarity of convex polygons
G04
demonstrate an understanding of primary trigonometric ratios (sine, cosine, tangent) by applying similarity to right triangles, generalizing patterns from similar right triangles
G04
applying the primary trigonometric ratios, and solving problems
G05
solve problems that involve parallel, perpendicular, and transversal lines, and pairs of angles formed between them
G05
solve problems that involve parallel, perpendicular, and transversal lines

Key ideas

  1. Different puzzles suit different strategies (guess-and-check, pattern, work backwards).

  2. The Pythagorean theorem, a² + b² = c², holds only for right triangles.

  3. Similar polygons have equal corresponding angles and proportional corresponding sides.

  4. For a fixed acute angle, opposite/adjacent is the same in all similar right triangles — the tangent.

  5. A transversal crossing two parallel lines creates equal corresponding angles.

Watch out for

  • Guessing randomly instead of using a systematic strategy.
  • Applying a² + b² = c² to a triangle that is not right-angled.
  • Assuming equal angles alone make polygons similar without checking side ratios.

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

Unit 3 · 5 skills

Number

Unit pricing and currency exchange

Earning income: gross and net pay

The official wording · 5 outcomes
N01
solve problems that involve unit pricing and currency exchange, using proportional reasoning
N01
currency exchange, using proportional reasoning
N02
demonstrate an understanding of income to calculate gross pay and net pay, including wages, salary, contracts, commissions, and piecework
N02
calculate gross pay and net pay, including wages, salary, contracts, commissions, and piecework
N02
calculate gross pay and net pay

Key ideas

  1. Unit price is total cost divided by quantity (dollars per gram, per item).

  2. Income can come as an hourly wage, a salary, commission, contract, or piecework.

  3. The lowest unit price is usually the best buy, but quality and quantity matter.

  4. Each method suits different jobs (sales → commission, factory → piecework).

  5. A percent increase or decrease compares the change to the original price.

Watch out for

  • Comparing total prices instead of unit prices for different sizes.
  • Confusing a salary (fixed annual) with an hourly wage.
  • Calculating percent change against the new price instead of the original.

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

Unit 4 · 1 skill

Algebra

Working with formulas

The official wording · 1 outcomes
A01
solve problems that require the manipulation and application of formulas related to perimeter, area, the Pythagorean theorem, primary trigonometric ratios, and income

Key ideas

  1. Rearranging a formula isolates the quantity you need to find.

  2. The same formula can be written in equivalent forms.

  3. Formulas from perimeter, area, trig, and pay all follow the same rearranging rules.

Watch out for

  • Performing an operation on one side of a formula but not the other.
  • Assuming a formula can only be used in the form it is given.

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

Which course?

Nova Scotia has 2 math courses for Grade 10. 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 Nova Scotia’s own curriculum for Mathematics at Work 10.

Study it in MapleMind

MapleMind teaches Mathematics at Work 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.

Citizenship 9 in the MapleMind app on a tablet: its units, Unit 2 open, and the skills done so far with their starsCitizenship 9 in the MapleMind app on a phone: its units, Unit 2 open, and the skills done so far with their stars
Pictured: Citizenship 9, another Nova Scotia course, partway through Unit 2.

Practise it

Course Companion

Your year in one workbook

A fun way to keep Mathematics at Work 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
29
Fillable fields
1,327
Price
$4.99
See the Course Companion

Questions about Mathematics at Work 10

What is Mathematics at Work 10?

Nova Scotia’s Grade 10 math course: 4 units and 24 skills, from Measurement to Algebra.

What units are in Mathematics at Work 10?

1. Measurement, 2. Geometry, 3. Number and 4. Algebra.

Is there a provincial exam for Mathematics at Work 10?

No. Nova Scotia gives no provincial exam for Mathematics at Work 10.

What comes after Mathematics at Work 10?

Mathematics 11, Pre-Calculus 11 and Mathematics at Work 11.

Can MapleMind help with Mathematics at Work 10?

Yes. MapleMind teaches every skill of Mathematics at Work 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 Mathematics at Work 10

Practise every skill of Mathematics at Work 10 in MapleMind, free with daily limits.