New Brunswick · Grade 8
Mathematics, Grade 8
New Brunswick’s Grade 8 math course, from Number to Statistics and Probability.
- Units
- 4
- Lessons
- 7
- Skills
- 28
- Provincial exam
- Yes
- Official curriculum
- New Brunswick Department of Education and Early Childhood Development
Unit by unit
Every skill in the course, numbered by unit.
Unit 1 · 12 skills
Number
Squares, Roots, and Percents
Perfect squares
I can recognize and build perfect squares.
Skill 1.1
Square roots
I can find the square root of a perfect square.
Skill 1.2
Approximate square roots
I can estimate the square root of a number that is not a perfect square.
Skill 1.3
Percents at or above 0%
I can work with percents at or above 0, including over 100.
Skill 1.4
Ratio, Rate, and Proportional Reasoning
Understanding ratio
I can understand and write a ratio.
Skill 1.5
Understanding rate
I can understand and write a rate, including a unit rate.
Skill 1.6
Solving rate and ratio problems
I can solve problems using rates and ratios.
Skill 1.7
Proportional reasoning
I can use proportional reasoning to solve problems.
Skill 1.8
Fraction and Integer Operations
Multiplying fractions and mixed numbers
I can multiply fractions and mixed numbers.
Skill 1.9
Dividing fractions and mixed numbers
I can divide fractions and mixed numbers.
Skill 1.10
Multiplying integers
I can multiply integers and use the sign rules.
Skill 1.11
Dividing integers
I can divide integers and use the sign rules.
Skill 1.12
The official wording · 12 outcomes
- 1.1
- Demonstrate an understanding of perfect squares and square roots, concretely, pictorially and symbolically (limited to whole numbers).
- 1.2
- Demonstrate an understanding of perfect squares and square roots, concretely, pictorially and symbolically (limited to whole numbers).
- 1.3
- Determine the approximate square root of numbers that are not perfect squares (limited to whole numbers).
- 1.4
- Demonstrate an understanding of percents greater than or equal to 0%.
- 1.5
- Demonstrate an understanding of ratio and rate.
- 1.6
- Demonstrate an understanding of ratio and rate.
- 1.7
- Solve problems that involve rates, ratios and proportional reasoning.
- 1.8
- Solve problems that involve rates, ratios and proportional reasoning.
- 1.9
- Demonstrate an understanding of multiplying and dividing positive fractions and mixed numbers, concretely, pictorially and symbolically.
- 1.10
- Demonstrate an understanding of multiplying and dividing positive fractions and mixed numbers, concretely, pictorially and symbolically.
- 1.11
- Demonstrate an understanding of multiplication and division of integers, concretely, pictorially and symbolically.
- 1.12
- Demonstrate an understanding of multiplication and division of integers, concretely, pictorially and symbolically.
Key ideas
A perfect square is a number times itself, like 36 = 6 × 6.
A ratio compares two quantities of the same kind.
We multiply numerators and multiply denominators.
A perfect square can be shown as a square array.
Ratios can be simplified like fractions.
Watch out for
- Confusing squaring with doubling.
- Reversing the order of the ratio.
- Cross-multiplying instead of multiplying straight across.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 4 skills
Patterns and Relations
Patterns & Relations
Linear Relations and Equations
Graphing two-variable linear relations
I can graph and analyze a two-variable linear relation.
Skill 2.1
One-step equations ax = b and a/x = b
I can solve equations of the form ax = b and a/x = b.
Skill 2.2
Two-step equations ax + b = c and a/x + b = c
I can solve two-step equations of the form ax + b = c.
Skill 2.3
Bracketed equations a(x + b) = c
I can solve equations of the form a(x + b) = c.
Skill 2.4
The official wording · 4 outcomes
- 2.1
- Graph and analyze two variable linear relations.
- 2.2
- Model and solve problems using linear equations of the form: ax = b; a x = b , a ≠ 0; ax + b = c;
- 2.3
- ax + b = c; a x +b=c, a ≠ 0; a(x + b) = c
- 2.4
- a(x + b) = c concretely, pictorially and symbolically, where a, b and c are integers.
Key ideas
A two-variable relation pairs x with y by a rule.
Plotting the pairs gives a straight line.
For ax = b, we divide both sides by a.
For a/x = b, we can multiply and rearrange to solve for x.
We undo addition or subtraction first, then multiplication or division.
Watch out for
- Plotting pairs in the wrong order.
- Connecting points that should not form a line.
- Multiplying instead of dividing.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 10 skills
Shape and Space
The Pythagorean Theorem and Nets
Understanding the Pythagorean theorem
I can explain the Pythagorean theorem.
Skill 3.1
Applying the Pythagorean theorem
I can use the Pythagorean theorem to find a missing side.
Skill 3.2
Nets for 3-D objects
I can draw and build a net for a solid.
Skill 3.3
Surface Area, Volume, Views, and Tessellation
Surface area of prisms
I can find the surface area of a prism.
Skill 3.4
Surface area of cylinders
I can find the surface area of a cylinder.
Skill 3.5
Volume of right prisms
I can find the volume of a right prism.
Skill 3.6
Volume of right cylinders
I can find the volume of a right cylinder.
Skill 3.7
Top, front, and side views
I can draw and read top, front, and side views of a solid.
Skill 3.8
Properties of tessellations and creating them
I can explain why some shapes tessellate and create a tessellation.
Skill 3.9
Identifying tessellations in the environment
I can find tessellations in the world around me.
Skill 3.10
The official wording · 10 outcomes
- 3.1
- Develop and apply the Pythagorean Theorem to solve problems.
- 3.2
- Develop and apply the Pythagorean Theorem to solve problems.
- 3.3
- Draw and construct nets for 3-D objects.
- 3.4
- Determine the surface area of: right rectangular prisms; right triangular prisms
- 3.5
- Determine the surface area of: right rectangular prisms; right triangular prisms; right cylinders to solve problems.
- 3.6
- Develop and apply formulas for determining the volume of right prisms and right cylinders.
- 3.7
- Develop and apply formulas for determining the volume of right prisms and right cylinders.
- 3.8
- Draw and interpret top, front and side views of 3-D objects composed of right rectangular prisms.
- 3.9
- Demonstrate an understanding of tessellation by: explaining the properties of shapes that make tessellating possible; creating tessellations
- 3.10
- identifying tessellations in the environment.
Key ideas
In a right triangle, the square on the hypotenuse equals the sum of the squares on the legs.
Surface area is the total area of all faces.
The hypotenuse is the longest side, opposite the right angle.
We add the areas of the faces, often using the net.
We square the known sides and use the theorem to find the missing one.
Watch out for
- Using the hypotenuse as a leg.
- Missing a pair of faces.
- Applying the theorem to a non-right triangle.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 2 skills
Statistics and Probability
Data Displays and Probability
Critiquing data displays
I can critique how data is presented and spot misleading displays.
Skill 4.1
Probability of independent events
I can find the probability of two independent events.
Skill 4.2
The official wording · 2 outcomes
- 4.1
- Critique ways in which data is presented.
- 4.2
- Solve problems involving the probability of independent events.
Key ideas
A graph can mislead through a broken or stretched scale.
We check the axes and scale before trusting a display.
Independent events do not affect each other.
The probability of both is the product of their probabilities.
Watch out for
- Trusting a graph without checking the scale.
- Thinking all graphs are unbiased.
- Adding the probabilities instead of multiplying.
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.
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The official curriculum
This page follows New Brunswick’s own curriculum for Mathematics, Grade 8.
Strands
| Strand | Outcomes | Taught in |
|---|---|---|
| NNumber | Outcomes 7 | Taught in Unit 1 |
| PRPatterns & Relations | Outcomes 2 | Taught in Unit 2Patterns and Relations |
| SSShape and Space | Outcomes 6 | Taught in Unit 3 |
| SPStatistics and Probability | Outcomes 2 | Taught in Unit 4 |
Study it in MapleMind
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Course Companion
Your year in one workbook
A fun way to keep Mathematics, Grade 8 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
- 1,377
- Price
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Questions about Mathematics, Grade 8
What is Mathematics, Grade 8?
New Brunswick’s Grade 8 math course: 4 units and 28 skills, from Number to Statistics and Probability.
What units are in Mathematics, Grade 8?
1. Number, 2. Patterns and Relations, 3. Shape and Space and 4. Statistics and Probability.
Is there a provincial exam for Mathematics, Grade 8?
Yes. The Grade 7 Mathematics Assessment is written in New Brunswick. Next sitting: May 31, 2027.
What comes after Mathematics, Grade 8?
Mathematics, Grade 9.
Can MapleMind help with Mathematics, Grade 8?
Yes. MapleMind teaches every skill of Mathematics, Grade 8, 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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