Newfoundland & Labrador · Grade 8
Mathematics, Grade 8
Newfoundland & Labrador’s Grade 8 math course, from Percent, Ratio, Rate, and Squares to Probability.
- Units
- 8
- Lessons
- 16
- Skills
- 34
- Provincial exam
- None
- Official curriculum
- Government of Newfoundland and Labrador, Department of Education
Unit by unit
Every skill in the course, numbered by unit.
Unit 1 · 6 skills
Percent, Ratio, Rate, and Squares
Percent Beyond 100
Representing percents beyond 100
I can represent percents including ones beyond 100.
Skill 1.1
Converting among percent, decimal, and fraction
I can convert among percent, decimal, and fraction.
Skill 1.2
Ratios and Rates
Two- and three-term ratios
I can write two- and three-term ratios and connect them to fractions and percents.
Skill 1.3
Rates in context
I can write and explain rates.
Skill 1.4
Perfect Squares
Perfect squares and square roots
I can identify perfect squares.
Skill 1.5
Squares and square roots of perfect squares
I can find the square and square root of numbers.
Skill 1.6
The official wording · 6 outcomes
- 1.1
- Represent a given fractional percent using grid paper
- 1.2
- Express a given percent in decimal or fractional form
- 1.3
- Express a two-term ratio from a given context in the forms 3:5 or 3 to 5
- 1.4
- Express a given rate using words or symbols, e.g., 20L per 100 km or 20 L/100 km
- 1.5
- Represent a perfect square as a square region using materials, such as grid paper or square shapes
- 1.6
- Determine the square root of a given perfect square and record it symbolically
Key ideas
A percent can be more than 100 or a fraction of a percent.
A ratio compares two or more amounts.
A perfect square forms a square arrangement.
Grids show a percent as shaded parts of wholes.
A part-to-part ratio becomes a part-to-whole fraction.
Watch out for
- Thinking a percent cannot exceed 100.
- Reversing the order of the terms.
- Thinking every even number is a perfect square.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 2 · 11 skills
Operations with Fractions, Integers, and Percents
Percent Problems
Solving percent problems
I can solve percent problems, including combined ones.
Skill 2.1
Multiplying and Dividing Fractions
Multiplying fractions
I can multiply fractions and mixed numbers.
Skill 2.2
Estimating products of fractions
I can estimate the product of two proper fractions.
Skill 2.3
Dividing fractions
I can divide fractions.
Skill 2.4
Dividing mixed numbers and estimating quotients
I can divide mixed numbers and estimate quotients.
Skill 2.5
Solving fraction problems
I can solve fraction problems using the right operation.
Skill 2.6
Multiplying and Dividing Integers
Multiplying integers
I can multiply integers and use the sign rule.
Skill 2.7
Dividing integers
I can divide integers and use the sign rule.
Skill 2.8
Order of operations with integers
I can solve integer problems using the order of operations.
Skill 2.9
Solving ratio and rate problems
I can solve ratio and rate problems.
Skill 2.10
Estimating Square Roots
Estimating square roots
I can estimate the square root of a non-perfect square.
Skill 2.11
The official wording · 11 outcomes
- 2.1
- Solve a given problem involving percents
- 2.2
- Model multiplication of a positive fraction by a positive fraction concretely or pictorially using an area model and record the process
- 2.3
- Estimate the product of two given positive proper fractions to determine if the product will be closer to 0
- 2.4
- Generalize and apply rules for dividing positive proper fractions
- 2.5
- Model, generalize and apply rules for dividing fractions with mixed numbers
- 2.6
- Solve a given problem involving positive fractions taking into consideration order of operations
- 2.7
- Generalize and apply a rule for determining the sign of the product of integers
- 2.8
- Generalize and apply a rule for determining the sign of the quotient of integers
- 2.9
- Solve a given problem involving integers taking into consideration order of operations
- 2.10
- Solve a given problem involving ratio
- 2.11
- Estimate, or approximate, a square root of a given number that is not a perfect square using the roots of perfect squares as benchmarks
Key ideas
Combined percents are applied one after another.
An area model shows a fraction of a fraction.
A negative times a negative is positive.
A non-perfect square's root lies between two whole numbers.
A percent of a percent is not just the sum.
Watch out for
- Adding percents that should be applied in sequence.
- Adding instead of multiplying.
- Getting the sign wrong.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 3 · 1 skill
Linear Relations
Graphing Linear Relations
Tables and graphs of a linear relation
I can build a table and graph from a linear equation.
Skill 3.1
The official wording · 1 outcomes
- 3.1
- Create a table of values by substituting values for a variable in the equation of a given linear relation
Key ideas
Substituting values builds the table.
Each pair becomes a point on the graph.
Watch out for
- Substituting into the wrong variable.
- Reversing the axes when graphing.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 4 · 2 skills
Linear Equations
Solving Linear Equations
Modelling and solving linear equations
I can model and solve linear equations.
Skill 4.1
Equations with the distributive property
I can solve equations that have brackets.
Skill 4.2
The official wording · 2 outcomes
- 4.1
- Model a given problem with a linear equation and solve the equation using concrete models
- 4.2
- Apply the distributive property to solve a given linear equation of the form a( x + b) = c
Key ideas
Tiles model an equation before we solve it.
We solve step by step and check the answer.
The distributive property multiplies through the brackets.
a(x + b) becomes ax + ab.
Watch out for
- Modelling only part of the equation.
- Not verifying the solution.
- Multiplying only the first term in the brackets.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 5 · 5 skills
Pythagoras, Surface Area, and Volume
The Pythagorean Theorem
Modelling the Pythagorean theorem
I can explain the Pythagorean theorem.
Skill 5.1
Applying the Pythagorean theorem
I can use the Pythagorean theorem to find a missing side.
Skill 5.2
Surface Area and Volume
Surface area of prisms
I can find the surface area of a prism.
Skill 5.3
Surface area of cylinders
I can find the surface area of a cylinder.
Skill 5.4
Volume of prisms and cylinders
I can find the volume of prisms and cylinders.
Skill 5.5
The official wording · 5 outcomes
- 5.1
- Model and explain the Pythagorean theorem concretely, pictorially or using technology
- 5.2
- Determine the measure of the third side of a right triangle, given the measures of the other two sides, to solve a given problem
- 5.3
- Describe and apply strategies for determining the surface area of a given right rectangular or right triangular prism
- 5.4
- Describe and apply strategies for determining the surface area of a given right cylinder
- 5.5
- Generalize and apply a rule for determining the volume of right cylinders
Key ideas
In a right triangle, the squares on the legs add to the square on the hypotenuse.
Surface area is the total area of all the faces.
The theorem works only for right triangles.
A net shows every face flattened out.
The theorem finds a missing side of a right triangle.
Watch out for
- Applying the theorem to a non-right triangle.
- Missing a face when adding areas.
- Confusing the hypotenuse with a leg.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 6 · 6 skills
Nets, Tessellations, and Views
Nets and 3-D Objects
Matching nets to 3-D objects
I can match a net to its 3-D object.
Skill 6.1
Drawing and building nets
I can draw and build nets.
Skill 6.2
Tessellations
Which shapes tessellate
I can tell which shapes tessellate.
Skill 6.3
Creating tessellations
I can create a tessellation and describe its transformations.
Skill 6.4
Views of 3-D Objects
Drawing views of a 3-D object
I can draw the views of a 3-D object.
Skill 6.5
Views from rotation and building from views
I can find views after a rotation and build from views.
Skill 6.6
The official wording · 6 outcomes
- 6.1
- Match a given net to the 3-D object it represents
- 6.2
- Draw nets for a given right circular cylinder, right rectangular prism, and verify by constructing the 3-D objects from the nets
- 6.3
- Identify, in a given set of regular polygons, those shapes and combinations of shapes that will tessellate, and use angle measurements to justify choices
- 6.4
- Create a tessellation using one or more 2-D shapes, and describe the tessellation in terms of transformations and conservation of area
- 6.5
- Draw and label the top, front and side views for a given 3-D object on isometric dot paper
- 6.6
- Draw and label the top, front and side views that result from a described rotation (limited to multiples of 90 degrees)
Key ideas
A net is the flattened faces of a 3-D object.
Shapes tessellate when their angles fill 360 degrees at a point.
Each view shows one face-on look at the object.
Folding a net makes the object.
Some polygons tessellate and some do not.
Watch out for
- Missing a face in a net.
- Thinking every polygon tessellates.
- Mixing up the front and side views.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 7 · 2 skills
Choosing and Critiquing Graphs
Choosing a Graph
Comparing and choosing graphs
I can compare graph types and choose the best one.
Skill 7.1
Misleading graphs
I can spot a misleading graph.
Skill 7.2
The official wording · 2 outcomes
- 7.1
- Compare the information that is provided for the same data set by a given set of graphs
- 7.2
- Explain how the format of a given graph, such as the size of the intervals, the width of bars and the visual representation, may lead to misinterpretation of the data
Key ideas
Each graph type shows data in a different way.
The kind of data guides the graph choice.
Uneven intervals or a cut axis can mislead.
A conclusion must match the data.
Watch out for
- Choosing a graph that hides the pattern.
- Using a circle graph for unrelated categories.
- Trusting a graph without checking the axis.
Every skill’s key ideas, worked examples and checks are in MapleMind.Practise this unit
Unit 8 · 1 skill
Probability
Independent Events
Probability of independent events
I can find the probability of independent events.
Skill 8.1
The official wording · 1 outcomes
- 8.1
- Generalize and apply a rule for determining the probability of independent events
Key ideas
Independent events do not affect each other.
Multiply the two probabilities to combine them.
Watch out for
- Adding the probabilities instead of multiplying.
- Thinking one event changes the other.
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 Newfoundland & Labrador’s own curriculum for Mathematics, Grade 8.
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Questions about Mathematics, Grade 8
What is Mathematics, Grade 8?
Newfoundland & Labrador’s Grade 8 math course: 8 units and 34 skills, from Percent, Ratio, Rate, and Squares to Probability.
What units are in Mathematics, Grade 8?
1. Percent, Ratio, Rate, and Squares, 2. Operations with Fractions, Integers, and Percents, 3. Linear Relations, 4. Linear Equations, 5. Pythagoras, Surface Area, and Volume, 6. Nets, Tessellations, and Views, 7. Choosing and Critiquing Graphs and 8. Probability.
Is there a provincial exam for Mathematics, Grade 8?
No. Newfoundland & Labrador gives no provincial exam for Mathematics, Grade 8.
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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