New Brunswick · Grade 10
Geometry, Measurement and Finance 10
New Brunswick’s Grade 10 math course, from Algebra to Measurement.
- Units
- 4
- Lessons
- 16
- Skills
- 31
- Provincial exam
- None
- Official curriculum
- New Brunswick Department of Education and Early Childhood Development
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 4 skills
Algebra
Rearranging and using formulas
Perimeter, area, volume and capacity formulas
I can rearrange and use perimeter, area, volume, and capacity formulas.
Official code: A1
Pythagorean and trigonometric formulas
I can rearrange and use the Pythagorean and trig-ratio formulas.
Official code: A1
Income and currency-exchange formulas
I can use income and currency-exchange formulas to solve money problems.
Official code: A1
Interest and finance-charge formulas
I can use interest and finance-charge formulas to solve money problems.
Official code: A1
The official wording · 4 outcomes
- A1
- manipulation and application of formulas related to: perimeter, area, volume, capacity
- A1
- formulas related to: perimeter, area, volume, capacity, the Pythagorean theorem, primary trigonometric ratios
- A1
- formulas related to: perimeter, area, volume, capacity, the Pythagorean theorem, primary trigonometric ratios, income. currency exchange
- A1
- formulas related to: perimeter, area, volume, capacity, the Pythagorean theorem, primary trigonometric ratios, income. currency exchange, interest and finance charges
Key ideas
A formula can be rearranged to solve for any variable in it.
Capacity measures the amount a container holds; volume measures the space it occupies.
Substitute known values only after isolating the unknown.
The Pythagorean theorem a² + b² = c² can be rearranged to find any side.
The primary ratios sine, cosine, and tangent link an angle to two sides.
Watch out for
- Substituting values before isolating the variable, making the algebra harder.
- Confusing volume and capacity units.
- Rearranging the Pythagorean theorem by taking a square root of each term separately.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 10 skills
Number
Unit pricing and currency exchange
Unit pricing and currency exchange
I can compare unit prices and convert currency using proportions.
Official code: N1
Earning income
Wages, salary and contracts
I can calculate pay from wages, a salary, or a contract.
Official code: N2
Commission and piecework
I can calculate pay from commission and piecework.
Official code: N2
Gross and net pay
I can find net pay from gross pay after deductions.
Official code: N2
Financial institution services
Banking accounts and transaction services
I can describe common banking accounts and services.
Official code: N3
Fees and managing an account
I can compare account fees and manage an account to avoid charges.
Official code: N3
Compound interest
Calculating compound interest
I can calculate an amount that grows by compound interest.
Official code: N4
Comparing simple and compound interest
I can compare compound and simple interest and explain the difference.
Official code: N4
Credit options
Credit cards and their cost
I can describe credit cards and find the cost of carrying a balance.
Official code: N5
Loans and comparing credit options
I can compare loans and other credit options by their true cost.
Official code: N5
The official wording · 10 outcomes
- N1
- Solve problems that involve unit pricing and currency exchange, using proportional reasoning
- N2
- understanding of income, including: wages, salary, contracts
- N2
- understanding of income, including: wages, salary, contracts, commission, piecework
- N2
- income, including: wages, salary, contracts, commission, piecework, and calculating gross pay and net pay
- N3
- understanding of financial institution services used to access and manage finances
- N3
- financial institution services used to access and manage finances
- N4
- Demonstrate an understanding of compound interest
- N4
- understanding of compound interest
- N5
- understanding of credit options, including: credit cards
- N5
- credit options, including: credit cards, and loans
Key ideas
Unit price is total price divided by the number of units — it lets you compare different sizes.
An hourly wage pays for hours worked, often with overtime above 40 hours.
A chequing account is for everyday spending; a savings account earns interest.
Compound interest adds each period's interest to the principal before the next period.
A credit card charges interest on any balance not paid in full by the due date.
Watch out for
- Comparing total prices instead of unit prices for different sizes.
- Paying overtime at the regular rate.
- Thinking a savings account is for daily transactions.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 9 skills
Geometry
Puzzles and games with spatial reasoning
Analyzing spatial puzzles and games
I can use spatial reasoning to solve a puzzle or win a game.
Official code: G1
The Pythagorean theorem
Recognizing and verifying the Pythagorean theorem
I can spot right-triangle situations and verify the Pythagorean theorem.
Official code: G2
Applying the Pythagorean theorem to solve problems
I can use the Pythagorean theorem to solve real problems.
Official code: G2
Primary trigonometric ratios
Similarity and trig ratios in right triangles
I can explain how similar right triangles produce the trig ratios.
Official code: G3
Applying the primary trigonometric ratios
I can use sine, cosine, and tangent to find a side or angle.
Official code: G3
Solving problems with trigonometry
I can solve real height and distance problems with trigonometry.
Official code: G3
Angle relationships between lines
Angles from parallel, perpendicular and transversal lines
I can find angles formed by parallel, perpendicular, and transversal lines.
Official code: G4
Working with angles
Drawing, replicating and bisecting angles
I can draw, copy, and bisect angles of every type.
Official code: G5
Solving problems with angles
I can solve problems using angle types and their measures.
Official code: G5
The official wording · 9 outcomes
- G1
- Analyze puzzles and games that involve spatial reasoning, using problem-solving strategies
- G2
- understanding of the Pythagorean theorem by: identifying situations that involve right triangles, verifying the formula
- G2
- the Pythagorean theorem by: identifying situations that involve right triangles, verifying the formula, applying the formula, solving problems
- G3
- primary trigonometric ratios (sine, cosine, tangent) by: applying similarity to right triangles, generalizing patterns from similar right triangles
- G3
- primary trigonometric ratios (sine, cosine, tangent) by: applying similarity to right triangles, generalizing patterns from similar right triangles, applying the primary trigonometric ratios
- G3
- primary trigonometric ratios (sine, cosine, tangent) by: applying similarity to right triangles, generalizing patterns from similar right triangles, applying the primary trigonometric ratios, and solving problems
- G4
- Solve problems that involve angle relationships between parallel, perpendicular and transversal lines
- G5
- understanding of angles, including acute, right, obtuse, straight and reflex, by: drawing, replicating and constructing, bisecting
- G5
- angles, including acute, right, obtuse, straight and reflex, by: drawing, replicating and constructing, bisecting, and solving problems
Key ideas
Spatial reasoning means picturing, rotating, and fitting shapes in the mind.
The Pythagorean theorem applies only to right triangles.
Similar triangles have equal corresponding angles and proportional sides.
Corresponding and alternate angles at parallel lines are equal.
Angle types: acute (<90°), right (90°), obtuse (90°-180°), straight (180°), reflex (>180°).
Watch out for
- Guessing randomly instead of applying a spatial strategy.
- Applying the theorem to a non-right triangle.
- Thinking the ratio changes with the size of the triangle.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 8 skills
Measurement
The SI (metric) system
SI units and their relationships
I can describe SI units and convert between them.
Official code: M1
The Imperial system
Imperial units and their relationships
I can describe Imperial units and convert between them.
Official code: M2
Linear measurement in SI and Imperial
Solving linear measurement problems
I can measure and convert lengths in SI and Imperial units.
Official code: M3
Area of 2-D shapes
Area of regular, composite and irregular shapes
I can find the area of regular, composite, and irregular shapes.
Official code: M4
Surface area and volume of 3-D objects
Surface area and volume of prisms
I can find the surface area and volume of a right prism.
Official code: M5
Surface area and volume of cylinders
I can find the surface area and volume of a cylinder.
Official code: M5
Surface area and volume of cones and pyramids
I can find the surface area and volume of a cone or pyramid.
Official code: M5
Surface area and volume of spheres
I can find the surface area and volume of a sphere.
Official code: M5
The official wording · 8 outcomes
- M1
- understanding of the Système International (SI) by describing the relationships of the units for length, area, volume, capacity, mass and temperature
- M2
- understanding of the Imperial system by: describing the relationships of the units for length, area, volume, capacity, mass and temperature
- M3
- Solve problems, using SI and Imperial units, that involve linear measurement using estimation and measurement strategies
- M4
- involve area measurements of regular, composite and irregular 2-D shapes, including decimal and fractional measurements, and verify the solutions
- M5
- surface area and volume of 3-D objects, including right cones, right cylinders, right prisms, right pyramids, and spheres
- M5
- surface area and volume of 3-D objects, including right cones, right cylinders
- M5
- surface area and volume of 3-D objects, including right cones, right cylinders, right prisms, right pyramids
- M5
- surface area and volume of 3-D objects, including right cones, right cylinders, right prisms, right pyramids, and spheres
Key ideas
SI prefixes (kilo, centi, milli) scale a base unit by powers of ten.
Imperial length units include inches, feet, yards, and miles.
Estimating a length first catches errors in the measured value.
A composite shape is broken into simple shapes whose areas are added.
A prism's volume is base area times height.
Watch out for
- Moving the decimal the wrong direction when converting.
- Assuming Imperial units convert by tens like metric.
- Using the wrong conversion factor between systems.
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?
New Brunswick has 2 math courses for Grade 10. Here they are side by side.
- Geometry, Measurement and Finance 10This course4 units · 31 skillsNo provincial examWhat it coversAlgebra · Number · Geometry · Measurement
- Number, Relations and Functions 102 units · 28 skillsNo provincial examWhat it coversAlgebra and Number · 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 New Brunswick’s own curriculum for Geometry, Measurement and Finance 10.
Study it in MapleMind
MapleMind teaches Geometry, Measurement and Finance 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 Geometry, Measurement and Finance 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
- 31
- Fillable fields
- 1,440
- Price
- $4.99
Questions about Geometry, Measurement and Finance 10
What is Geometry, Measurement and Finance 10?
New Brunswick’s Grade 10 math course: 4 units and 31 skills, from Algebra to Measurement.
What units are in Geometry, Measurement and Finance 10?
1. Algebra, 2. Number, 3. Geometry and 4. Measurement.
Is there a provincial exam for Geometry, Measurement and Finance 10?
No. New Brunswick gives no provincial exam for Geometry, Measurement and Finance 10.
What comes after Geometry, Measurement and Finance 10?
Financial and Workplace Mathematics 110, Foundations of Mathematics 110 and Pre-Calculus 110.
Can MapleMind help with Geometry, Measurement and Finance 10?
Yes. MapleMind teaches every skill of Geometry, Measurement and Finance 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 Geometry, Measurement and Finance 10
Practise every skill of Geometry, Measurement and Finance 10 in MapleMind, free with daily limits.
