Manitoba · Grade 8
Mathematics, Grade 8
Manitoba’s Grade 8 math course, from Number to Statistics and Probability.
- Units
- 4
- Lessons
- 4
- Skills
- 20
- Provincial exam
- None
- Official curriculum
- Manitoba Education
Unit by unit
Every skill in the course, with its official code.
Unit 1 · 8 skills
Number
Squares, Roots, and Percent
Perfect squares and square roots
I can identify perfect squares and find their square roots.
Official code: 8.N.1
Approximate square roots
I can estimate the square root of a non-perfect square.
Official code: 8.N.2
Percents beyond 100% and below 1%
I can work with percents over 100% and below 1%.
Official code: 8.N.3
Ratio and rate
I can express and compare ratios and rates.
Official code: 8.N.4
Proportional reasoning
I can solve problems using rates, ratios, and proportions.
Official code: 8.N.5
Multiplying and dividing fractions
I can multiply and divide fractions and mixed numbers.
Official code: 8.N.6
Multiplying and dividing integers
I can multiply and divide integers and predict the sign.
Official code: 8.N.7
Positive rational number problems
I can solve problems with positive rational numbers.
Official code: 8.N.8
The official wording · 8 outcomes
- 8.N.1
- Demonstrate an understanding of perfect squares and square roots, concretely, pictorially, and symbolically (limited to whole numbers).
- 8.N.2
- Determine the approximate square root of numbers that are not perfect squares (limited to whole numbers).
- 8.N.3
- Demonstrate an understanding of percents greater than or equal to 0%.
- 8.N.4
- Demonstrate an understanding of ratio and rate.
- 8.N.5
- Solve problems that involve rates, ratios, and proportional reasoning.
- 8.N.6
- Demonstrate an understanding of multiplying and dividing positive fractions and mixed numbers, concretely, pictorially, and symbolically.
- 8.N.7
- Demonstrate an understanding of multiplication and division of integers, concretely, pictorially, and symbolically.
- 8.N.8
- Solve problems involving positive rational numbers.
Key ideas
A perfect square can be arranged as a square region, like 16 = 4 x 4.
The square root of a perfect square is the side length of that square.
A non-perfect square's root lies between two whole-number roots.
A calculator gives an approximation because the root is not exact.
A percent can be more than 100% or between 0% and 1%.
Watch out for
- Thinking every number has a whole-number square root.
- Confusing squaring with doubling.
- Treating a calculator's decimal as an exact root.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 3 skills
Patterns and Relations
Linear Relations and Equations
Graphing two-variable linear relations
I can graph a two-variable linear relation from its equation.
Official code: 8.PR.1
Solving linear equations
I can solve linear equations like ax + b = c.
Official code: 8.PR.2
Equations with the distributive property
I can solve equations that need the distributive property.
Official code: 8.PR.2
The official wording · 3 outcomes
- 8.PR.1
- Graph and analyze two-variable linear relations.
- 8.PR.2
- Model and solve problems using linear equations of the form: n ax = b n = b, a ≠ 0 n ax + b = c concretely, pictorially, and symbolically, where a, b, and c, are integers.
- 8.PR.2
- Model and solve problems using linear equations of the form: n a(x + b) = c concretely, pictorially, and symbolically, where a, b, and c, are integers.
Key ideas
A two-variable linear relation pairs each x with a y by a rule.
Its graph is a set of points that fall along a straight line.
We isolate the variable by undoing the operations in reverse.
Each step preserves equality on both sides.
The distributive property expands a(x + b) to ax + ab.
Watch out for
- Finding the missing value from the wrong variable.
- Connecting discrete points that should stay separate.
- Undoing multiplication before addition.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 7 skills
Shape and Space
Measurement and 3-D Objects
The Pythagorean theorem
I can use the Pythagorean theorem to find a missing side.
Official code: 8.SS.1
Nets for 3-D objects
I can draw a net and build the 3-D object from it.
Official code: 8.SS.2
Surface area of prisms and cylinders
I can find the surface area of prisms and cylinders.
Official code: 8.SS.3
Volume of prisms and cylinders
I can find the volume of a prism or cylinder.
Official code: 8.SS.4
Top, front, and side views
I can draw the top, front, and side views of a 3-D object.
Official code: 8.SS.5
What tessellates and why
I can explain why some shapes tessellate.
Official code: 8.SS.6
Creating and finding tessellations
I can create a tessellation and find them around me.
Official code: 8.SS.6
The official wording · 7 outcomes
- 8.SS.1
- Develop and apply the Pythagorean theorem to solve problems.
- 8.SS.2
- Draw and construct nets for 3-D objects.
- 8.SS.3
- Determine the surface area of � right rectangular prisms � right triangular prisms � right cylinders to solve problems.
- 8.SS.4
- Develop and apply formulas for determining the volume of right prisms and right cylinders.
- 8.SS.5
- Draw and interpret top, front, and side views of 3-D objects composed of right rectangular prisms.
- 8.SS.6
- Demonstrate an understanding of tessellation by n explaining the properties of shapes that make tessellating possible
- 8.SS.6
- Demonstrate an understanding of tessellation by n creating tessellations n identifying tessellations in the environment
Key ideas
In a right triangle, the squares of the two legs add to the square of the hypotenuse.
The theorem applies only to right triangles.
A net is a flat pattern that folds into a 3-D object.
Each face of the object appears once in its net.
Surface area is the total area of all the faces of a 3-D object.
Watch out for
- Applying the theorem to a non-right triangle.
- Adding the legs instead of their squares.
- Drawing a net with a missing or extra face.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 2 skills
Statistics and Probability
Data and Probability
Critiquing data displays
I can critique how data are displayed.
Official code: 8.SP.1
Probability of independent events
I can find the probability of two independent events.
Official code: 8.SP.2
The official wording · 2 outcomes
- 8.SP.1
- Critique ways in which data are presented.
- 8.SP.2
- Solve problems involving the probability of independent events.
Key ideas
Different graphs suit different data and have strengths and limitations.
Formatting, like interval size or bar width, can mislead a reader.
Independent events do not affect each other's outcomes.
The probability of both is the product of their separate probabilities.
Watch out for
- Assuming every graph type fits every data set.
- Overlooking a misleading axis scale.
- 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 Manitoba’s own curriculum for Mathematics, Grade 8.
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Course Companion
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Questions about Mathematics, Grade 8
What is Mathematics, Grade 8?
Manitoba’s Grade 8 math course: 4 units and 20 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?
No. Manitoba gives no provincial exam for Mathematics, Grade 8.
What comes after Mathematics, Grade 8?
Grade 9 Mathematics (10F).
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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