Mathematics 8

Mathematics 8
Mathematics 8
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* The number of students can be increased at an additional cost of CAD 14.95 per student.
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  • Only CAD 365.25 per year
  • Access to Mathematics 8
  • Complete with all the tools needed to teach in the classroom
  • Starts with 30 students
* The number of students can be increased at an additional cost of CAD 14.95 per student.

Mathematics 8 - Overview

The Mathematics 8 reviews skills from the previous grade and builds a strong foundation by introducing key mathematical concepts that students will get familiar with and build upon in future courses.

Each lesson offers a short but thorough explanation of how to use the relevant math skills to tackle each topic and problem. Visuals, as well as examples of different methods of solving the same problem are shown, enhancing the student's comprehension. Our lessons are designed to help students become fluent in carrying out mathematical procedures such as adding, subtracting, multiplying and dividing numbers and variables.

This course is specially made with high school in mind: it will prepare the student for grade 9 math, and will provide a solid foundation on which to build further math learning.

Extra lessons and worksheets are also available for those who would like to go beyond the scope of the mathematics curriculum and give their students the opportunity to further enrich their understanding of learned concepts.

Teachers and parents are welcome to obtain full access to detailed solutions, lessons, and online assessments by becoming Members.

Mathematics 8 - Samples

Try out some of the on-line quizzes:
Adding and Subtracting Integers  
One Step Metric Unit Conversions (Level 1)  
Pythagorean Theorem (Video)  
Check out some of our material:
Solving Equations  
Solving Equations - Solutions  
Pythagorean theorem  
Pythagorean theorem - Solutions  
Vaccine Efficacy  

Mathematics 8 - Contents

Unit 1:   Number Sense and Numeration
In the first unit of the Mathematics 8 course students will learn to compare, order, and convert rational numbers (integers, fractions, decimals, percentages); solve problems involving rational numbers, including whole numbers, fractions, decimals, and percentages; and learn to work with ratios and rates.
Lesson 1:   Understanding Real Numbers Lesson 2:   Place Value Lesson 3:   Adding and Subtracting Integers Lesson 4:   Multiplying and Dividing Integers Lesson 5:   Exponents Lesson 6:   Exponent Rules Lesson 7:   Scientific Notation Lesson 8:   Square Roots Lesson 9:   Order of Operations Lesson 10:   Proper and Improper Fractions Lesson 11:   Equivalent Fractions Lesson 12:   Greatest Common Factor (GCF) Lesson 13:   Simplifying Fractions Lesson 14:   Adding and Subtracting Fractions with the Same Denominator Lesson 15:   Adding and Subtracting Fractions with Different Denominators Lesson 16:   Multiplying Fractions Lesson 17:   Dividing Fractions Lesson 18:   Ratios Lesson 19:   Rates Lesson 20:   Percent Lesson 21:   Calculating Percentages Lesson 22:   Ordering Rational Numbers Lesson 23:   Metric System Lesson 24:   Unit 1 Review
Unit 2:   Patterns and Algebra
In this unit, students will be introduced to algebraic expressions with one or two variables and learn to evaluate and solve them; learn to represent linear relationships using graphs, algebraic expressions, and equations; and try their hand at some word problems.
Lesson 1:   Evaluating Algebraic Expressions and Equations Lesson 2:   Polynomials and Like Terms Lesson 3:   Solving 1-Step Equations Lesson 4:   Solving 2-Step Equations Lesson 5:   Solving Equations by Collecting Like Terms Lesson 6:   Solving Equations with Fractions Lesson 7:   Linear Functions Lesson 8:   Graphing Linear Functions Lesson 9:   The Slope and y-Intercept Equation Lesson 10:   Systems of Linear Equations
Lesson 11:   Substitution and Elimination Methods
Lesson 12:   Linear Patterns in Real World Situations Lesson 13:   Word Problems Lesson 14:   Unit 2 Review
Unit 3:   Measurement
In the third unit of Mathematics 8, students will learn to calculate perimeters, area, and volumes of 2D and 3D shapes; use metric units correctly; find the relationship between the circumference of a circle and the surface area of a cylinder; and find the relationship between the area of a circle and the volume of a cylinder.
Lesson 1:   Metric System Lesson 2:   Perimeter of a Circle Lesson 3:   Area of a Circle Lesson 4:   Volume of a Cylinder Lesson 5:   Surface Area of a Cylinder Lesson 6:   Unit 3 Review
Unit 4:   Geometry
In this unit, students will be introduced to aspects of geometry, and will learn how to apply them. Included lessons focus on constructing a circle given its centre and radius; using properties of similar rectangles to find missing side lengths; finding angles using relationships between parallel and transversal lines; finding unknown angles in a triangle using the sum of all angles; and determining the Pythagorean relationship through investigation, using it to find missing side lengths of rights triangles.
Lesson 1:   Angles in a Triangle Lesson 2:   Parallel Lines and Transversals Lesson 3:   Similar Rectangles Lesson 4:   Pythagorean Theorem Lesson 5:   Extension: Applications of Pythagorean Theorem Lesson 6:   Unit 4 Review
Unit 5:   Data Management and Probability
In the final unit of Mathematics 8 students will learn to determine the measures of central tendency, such as mean, median, and mode; compare two quantities using a scatter plot, and determine the type of relationship between them (positive, negative, no relationship); identify rapid and slow growths; and determine the tendency of experimental probability to approach theoretical probability as the number of trials in an experiment increases, using class-generated data.
Lesson 1:   Mean, Median and Mode Lesson 2:   Scattered Plots and Lines of Best Fit Lesson 3:   Rapid Growth and Decline Lesson 4:   Bar Graphs and Histograms Lesson 5:   Categorical, Discrete and Continuous Data Lesson 6:   Probability Lesson 7:   Unit 5 Review

Course Material - Various files you can use to enhance teaching.

Title Type Attached to
Rational Numbers worksheet Lesson: Understanding Real Numbers
Rational Numbers - Solutions worksheet Lesson: Understanding Real Numbers
Roman Numerals homework Lesson: Understanding Real Numbers
Understanding Rational Numbers homework Lesson: Understanding Real Numbers
Roman Numerals - Solutions homework Lesson: Understanding Real Numbers
Understanding Rational Numbers - Solutions homework Lesson: Understanding Real Numbers
Other number systems [Extension] worksheet Lesson: Place Value
Place Value worksheet Lesson: Place Value
Other number systems [Extension] - Solutions worksheet Lesson: Place Value
Place Value - Solutions worksheet Lesson: Place Value
Adding and Subtracting Integers worksheet Lesson: Adding and Subtracting Integers
Adding and Subtracting Integers - Solutions worksheet Lesson: Adding and Subtracting Integers
Multiplying and Dividing Integers worksheet Lesson: Multiplying and Dividing Integers
Multiplying and Dividing Integers - Solutions worksheet Lesson: Multiplying and Dividing Integers
Exponents worksheet Lesson: Exponents
Exponents - Solutions worksheet Lesson: Exponents
Exponent Rules worksheet Lesson: Exponent Rules
Exponent Rules - Solutions worksheet Lesson: Exponent Rules
Scientific Notation worksheet Lesson: Scientific Notation
Scientific Notation - Solutions worksheet Lesson: Scientific Notation
Square Roots worksheet Lesson: Square Roots
Square Roots - Solutions worksheet Lesson: Square Roots
Square Roots homework Lesson: Square Roots
Square Roots - Solutions homework Lesson: Square Roots
Order of Operations worksheet Lesson: Order of Operations
Order of Operations - Solutions worksheet Lesson: Order of Operations
Order of Operations homework Lesson: Order of Operations
Order of Operations - Solutions homework Lesson: Order of Operations
Proper and Improper Fractions worksheet Lesson: Proper and Improper Fractions
Proper and Improper Fractions - Solutions worksheet Lesson: Proper and Improper Fractions
Equivalent Fractions worksheet Lesson: Equivalent Fractions
Equivalent Fractions - Solution worksheet Lesson: Equivalent Fractions
Ugly Numbers activity Lesson: Equivalent Fractions
Ugly Numbers - Solutions activity Lesson: Equivalent Fractions
Greatest Common Factor worksheet Lesson: Greatest Common Factor (GCF)
Greatest Common Factor - Solutions worksheet Lesson: Greatest Common Factor (GCF)
Abundant Numbers activity Lesson: Greatest Common Factor (GCF)
Abundant Numbers - Solutions activity Lesson: Greatest Common Factor (GCF)
Simplifying Fractions worksheet Lesson: Simplifying Fractions
Simplifying Fractions - Solutions worksheet Lesson: Simplifying Fractions
Simplifying Fractions homework Lesson: Simplifying Fractions
Simplifying Fractions - Solutions homework Lesson: Simplifying Fractions
Adding and Subtracting Fractions with the Same Denominator worksheet Lesson: Adding and Subtracting Fractions with the Same Denominator
Adding and Subtracting Fractions with Same Denominators - Solutions worksheet Lesson: Adding and Subtracting Fractions with the Same Denominator
Adding and Subtracting Fractions with the Same Denominator homework Lesson: Adding and Subtracting Fractions with the Same Denominator
Adding and Subtracting Fractions with the Same Denominator - Solutions homework Lesson: Adding and Subtracting Fractions with the Same Denominator
Adding and Subtracting Fractions with Different Denominators worksheet Lesson: Adding and Subtracting Fractions with Different Denominators
Adding and Subtracting Fractions with Different Denominators - Solutions worksheet Lesson: Adding and Subtracting Fractions with Different Denominators
Adding and Subtracting Fractions with Different Denominators homework Lesson: Adding and Subtracting Fractions with Different Denominators
Adding and Subtracting Fractions with Different Denominators - Solutions homework Lesson: Adding and Subtracting Fractions with Different Denominators
Multiplying Fractions worksheet Lesson: Multiplying Fractions
Multiplying Fractions - Solutions worksheet Lesson: Multiplying Fractions
Dividing Fractions worksheet Lesson: Dividing Fractions
Dividing Fractions - Solutions worksheet Lesson: Dividing Fractions
Dividing Fractions homework Lesson: Dividing Fractions
Dividing Fractions - Solutions homework Lesson: Dividing Fractions
Ratios worksheet Lesson: Ratios
Ratios - Solutions worksheet Lesson: Ratios
Ratios homework Lesson: Ratios
Ratios - Solutions homework Lesson: Ratios
Rates worksheet Lesson: Rates
Rates - Solutions worksheet Lesson: Rates
Percent worksheet Lesson: Percent
Percent - Solutions worksheet Lesson: Percent
Percents homework Lesson: Percent
Percents - Solutions homework Lesson: Percent
Calculating Percentages worksheet Lesson: Calculating Percentages
Calculating Percentages - Solutions worksheet Lesson: Calculating Percentages
Ordering Rational Numbers worksheet Lesson: Ordering Rational Numbers
Ordering Rational Numbers - Solutions worksheet Lesson: Ordering Rational Numbers
Metric System worksheet Lesson: Metric System
Metric Unit Conversion worksheet Lesson: Metric System
Metric System - Solutions worksheet Lesson: Metric System
Metric Unit Conversion - Solutions worksheet Lesson: Metric System
Number Sense and Numeration Review worksheet Lesson: Unit 1 Review
Number Sense and Numeration Review - Solutions worksheet Lesson: Unit 1 Review
Unit 1 Test A - Solutions test Lesson: Unit 1 Review
Unit 1 Test A test Lesson: Unit 1 Review
Unit 1 Test B - Solutions test Lesson: Unit 1 Review
Unit 1 Test B test Lesson: Unit 1 Review
Unit 1 Test C - Solutions test Lesson: Unit 1 Review
Unit 1 Test C test Lesson: Unit 1 Review
Unit 1 Test D - Solutions test Lesson: Unit 1 Review
Unit 1 Test D test Lesson: Unit 1 Review
Algebraic Expressions worksheet Lesson: Evaluating Algebraic Expressions and Equations
Algebraic Expressions - Solutions worksheet Lesson: Evaluating Algebraic Expressions and Equations
Homework: Algebraic Expressions and Equations homework Lesson: Evaluating Algebraic Expressions and Equations
Solutions for Homework: Algebraic Expressions and Equations homework Lesson: Evaluating Algebraic Expressions and Equations
Combining Like Terms worksheet Lesson: Polynomials and Like Terms
Combining Like Terms - Solutions worksheet Lesson: Polynomials and Like Terms
Homework: Polynomials and Like Terms homework Lesson: Polynomials and Like Terms
Homework: Polynomials and Like Terms - Solutions homework Lesson: Polynomials and Like Terms
Solving Equations worksheet Lesson: Solving 1-Step Equations
Solving Equations - Solutions worksheet Lesson: Solving 1-Step Equations
Homework: Solving Equations homework Lesson: Solving 1-Step Equations
Homework: Solving Equations - Solutions homework Lesson: Solving 1-Step Equations
Solving 2-Step Equations worksheet Lesson: Solving 2-Step Equations
Solving 2-Step Equations - Solutions worksheet Lesson: Solving 2-Step Equations
Homework: Solving 2-Step Equations - Solutions worksheet Lesson: Solving 2-Step Equations
Homework: Solving 2-Step Equations homework Lesson: Solving 2-Step Equations
Escape Room - Equations activity Lesson: Solving 2-Step Equations
Escape Room - Equations - Solutions activity Lesson: Solving 2-Step Equations
Solving Equations with Collecting Like Terms worksheet Lesson: Solving Equations by Collecting Like Terms
Homework: Solving Equations with Collecting Like Terms - Solutions worksheet Lesson: Solving Equations by Collecting Like Terms
Solving Equations with Collecting Like Terms - Solutions worksheet Lesson: Solving Equations by Collecting Like Terms
Homework: Solving Equations with Collecting Like Terms homework Lesson: Solving Equations by Collecting Like Terms
Evaluating algebraic equations practice Lesson: Solving Equations by Collecting Like Terms
Simplifying algebraic expressions practice Lesson: Solving Equations by Collecting Like Terms
Evaluating algebraic equations - Solutions practice Lesson: Solving Equations by Collecting Like Terms
Simplifying algebraic expressions - Solutions practice Lesson: Solving Equations by Collecting Like Terms
Solving Equations with Fractions worksheet Lesson: Solving Equations with Fractions
Solving Equations with Fractions - Solutions worksheet Lesson: Solving Equations with Fractions
Linear Patterns worksheet Lesson: Linear Functions
Linear Patterns - Solutions worksheet Lesson: Linear Functions
Homework: Algebraic Equation and Linear Patterns homework Lesson: Linear Functions
Homework: Algebraic Equation and Linear Patterns - Solutions homework Lesson: Linear Functions
Cartesian Coordinate Plane for Linear Patterns worksheet Lesson: Graphing Linear Functions
Solutions for Cartesian Coordinate Plane for Linear Patterns worksheet Lesson: Graphing Linear Functions
Homework: Cartesian Coordinate Plane for Linear Patterns homework Lesson: Graphing Linear Functions
Solutions for Homework: Cartesian Coordinate Plane for Linear Patterns homework Lesson: Graphing Linear Functions
How to mark graphs guide Lesson: Graphing Linear Functions
Extension: How to find slope and y intercept of a line worksheet Lesson: The Slope and y-Intercept Equation
The Slope and y-Intercept Equation worksheet Lesson: The Slope and y-Intercept Equation
Extension: How to find slope and y intercept of a line - Solutions worksheet Lesson: The Slope and y-Intercept Equation
The Slope and y-Intercept Equation - Solutions worksheet Lesson: The Slope and y-Intercept Equation
Homework: The Slope and y-Intercept Equation homework Lesson: The Slope and y-Intercept Equation
Homework: The Slope and y-Intercept Equation - Solutions homework Lesson: The Slope and y-Intercept Equation
Systems of Linear Equations worksheet Lesson: Systems of Linear Equations
Systems of Linear Equations - Solutions worksheet Lesson: Systems of Linear Equations
Systems of Linear Equations homework Lesson: Systems of Linear Equations
Systems of Linear Equations - Solutions homework Lesson: Systems of Linear Equations
Substitution and Elimination Methods worksheet Lesson: Substitution and Elimination Methods
Substitution and Elimination Methods - Solutions worksheet Lesson: Substitution and Elimination Methods
Substitution and Elimination Methods homework Lesson: Substitution and Elimination Methods
Substitution and Elimination Methods - Solutions homework Lesson: Substitution and Elimination Methods
Linear Patterns in Real World worksheet Lesson: Linear Patterns in Real World Situations
Linear Patterns in Real World - Solutions worksheet Lesson: Linear Patterns in Real World Situations
Algebraic Relation of a Linear Pattern activity Lesson: Linear Patterns in Real World Situations
Translating Word Problems Into Algebraic Expressions worksheet Lesson: Word Problems
Translating Word Problems Into Algebraic Expressions - Solutions worksheet Lesson: Word Problems
Homework: Translating Word Problems homework Lesson: Word Problems
Homework: Translating Word Problems - Solutions homework Lesson: Word Problems
Unit Review worksheet Lesson: Unit 2 Review
Unit Review - Solutions worksheet Lesson: Unit 2 Review
Finding Pi activity Unit: Measurement
Metric System worksheet Lesson: Metric System
Metric System - Solutions worksheet Lesson: Metric System
Imperial units - Homework homework Lesson: Metric System
Homework for Imperial units - Solutions homework Lesson: Metric System
Perimeter of a Circle worksheet Lesson: Perimeter of a Circle
Perimeter of a Circle - Solutions worksheet Lesson: Perimeter of a Circle
Finding Pi activity Lesson: Perimeter of a Circle
Area of a Circle worksheet Lesson: Area of a Circle
Area of a Circle - Solutions worksheet Lesson: Area of a Circle
Homework - Perimeter and area of a circle homework Lesson: Area of a Circle
Homework: Perimeter and area of a circle - Solutions homework Lesson: Area of a Circle
Volume of a Cylinder worksheet Lesson: Volume of a Cylinder
Volume of a Cylinder - Solutions worksheet Lesson: Volume of a Cylinder
Surface Area of a Cylinder worksheet Lesson: Surface Area of a Cylinder
Homework: Volume and surface area of a cylinder - Solutions worksheet Lesson: Surface Area of a Cylinder
Surface Area of a Cylinder - Solutions worksheet Lesson: Surface Area of a Cylinder
Homework: Volume and surface area of a cylinder homework Lesson: Surface Area of a Cylinder
Assignment: Volume and Surface Area of a Cylinder assignment Lesson: Surface Area of a Cylinder
Surface Area of a Cylinder activity Lesson: Surface Area of a Cylinder
Unit Review worksheet Lesson: Unit 3 Review
Unit Review - Solutions worksheet Lesson: Unit 3 Review
Angles in a Triangle worksheet Lesson: Angles in a Triangle
Solutions for Angles in a Triangle worksheet Lesson: Angles in a Triangle
Parallel Lines and Transversals worksheet Lesson: Parallel Lines and Transversals
Parallel Lines and Transversals - Solutions worksheet Lesson: Parallel Lines and Transversals
Similar Rectangles worksheet Lesson: Similar Rectangles
Similar Rectangles - Solutions worksheet Lesson: Similar Rectangles
Pythagorean theorem worksheet Lesson: Pythagorean Theorem
Pythagorean theorem - Solutions worksheet Lesson: Pythagorean Theorem
Homework Pythagorean theorem homework Lesson: Pythagorean Theorem
Homework Pythagorean theorem - Solutions homework Lesson: Pythagorean Theorem
Pythagorean Theorem activity Lesson: Pythagorean Theorem
Pythagorean Theorem: Applications worksheet Lesson: Extension: Applications of Pythagorean Theorem
Solutions for Pythagorean Theorem: Applications worksheet Lesson: Extension: Applications of Pythagorean Theorem
Homework for applications of the Pythagorean theorem homework Lesson: Extension: Applications of Pythagorean Theorem
Solutions for homework for applications of the Pythagorean theorem homework Lesson: Extension: Applications of Pythagorean Theorem
Unit Review worksheet Lesson: Unit 4 Review
Unit Review - Solutions worksheet Lesson: Unit 4 Review
Mean, Median and Mode worksheet Lesson: Mean, Median and Mode
Mean, Median and Mode - Solutions worksheet Lesson: Mean, Median and Mode
Homework: Mean, median and mode homework Lesson: Mean, Median and Mode
Homework: Mean, median and mode - Solutions homework Lesson: Mean, Median and Mode
Scattered Graphs and Lines of Best Fit worksheet Lesson: Scattered Plots and Lines of Best Fit
Scattered Graphs and Lines of Best Fit - Solutions worksheet Lesson: Scattered Plots and Lines of Best Fit
Rapid and Slow Growth worksheet Lesson: Rapid Growth and Decline
Rapid and Slow Growth - Solutions worksheet Lesson: Rapid Growth and Decline
Bar Graphs and Histograms worksheet Lesson: Bar Graphs and Histograms
Bar Graphs and Histograms - Solutions worksheet Lesson: Bar Graphs and Histograms
Assignment: Histogram assignment Lesson: Bar Graphs and Histograms
Rubrics: Graphs rubric Lesson: Bar Graphs and Histograms
Categorical, Discrete and Continuous Data worksheet Lesson: Categorical, Discrete and Continuous Data
Categorical, Discrete and Continuous Data - Solutions worksheet Lesson: Categorical, Discrete and Continuous Data
Homework for Categorical, Discrete and Continuous Data homework Lesson: Categorical, Discrete and Continuous Data
Homework for Categorical, Discrete and Continuous Data - Solutions homework Lesson: Categorical, Discrete and Continuous Data
Probability worksheet Lesson: Probability
Probability - Solutions worksheet Lesson: Probability
Homework Probability homework Lesson: Probability
Homework Probability - Solutions homework Lesson: Probability
Heads or Tails? activity Lesson: Probability
Unit Review worksheet Lesson: Unit 5 Review
Unit Review - Solutions worksheet Lesson: Unit 5 Review
Vaccine Efficacy activity Lesson: Unit 5 Review
Vaccine Efficacy - Solutions activity Lesson: Unit 5 Review

Evaluations are designed to engage students in mastering their skills

Grade 8 Mathematics Exam
Grade 8 Mathematics Pre-assessment
Negative Numbers (Video)
Understanding Rational Numbers
Adding and Subtracting Integers (Video)
Adding and Subtracting Integers Try it now  
Multiplying and Dividing Integers (Video)
Multiplying and Dividing Integers (Level 1)
Multiplying and Dividing Integers (Level 2)
Exponents (Video)
Multiplying and Dividing Powers
Exponent Rules
Order of Operations (Video)
Order of Operations
Simplifying Roots (Video)
Square Roots
Mixed Numbers (Video)
Mixed Numbers and Improper Fractions
Equivalent Fractions (Video)
Adding and Subtracting Fractions (Level 1)
Adding and Subtracting Fractions (Level 2)
Adding Fractions (Video 2)
Adding and Subtracting Unlike Fractions (Level 1)
Adding and Subtracting Unlike Fractions (Level 2)
Multiplying Fractions (Video)
Multiplying Fractions (Level 1)
Multiplying Fractions (Level 2)
Greatest Common Factor
Composite Numbers
Simplifying Fractions
Dividing Fractions (Video)
Dividing Fractions (Level 1)
Dividing Fractions (Level 2)
Ratios
Proportions
Rates (Video)
Rates
Rates - Challenge
Percent (Video)
Percents, Decimals and Fractions
Calculating Percent (Video)
Calculating the Percentage
Comparing Rational Numbers (Level 1)
Comparing Rational Numbers (Level 2)
Metric Units (Video)
One Step Metric Unit Conversions (Level 1) Try it now  
Metric and Imperial Units Conversions (Extension)
Scientific Notation (Video)
Standard Form and Scientific Notation Conversions
Unit Test: Number Sense and Numeration
Variables (Video)
Evaluating expressions
Word problems
Might and Magic
Algebraic Expression of Linear Pattern
Slope-Intercept Equation (Video)
Graphing linear function
Simple Equations (Video)
Solving Simple Equations
Multi-Step Equations (Video)
Solving Multi-Step Equations
Like Terms (Video)
Combining Like Terms
Graphing Linear Functions
Distributive Property (Video)
Solving Equations with Combining Like Terms
Equations with Fractions (Video)
Solving Equations with Fractions
Solving Equations with Fractions - Challenge
Unit Test: Patterns and Algebra
Known and Unknown
Parallel and perpendicular lines
Solving Systems of Equations
Unit Test: Measurement
Perimeter
Finding area of a circle
Volume of a Cylinder
Surface Area of a Cylinder
Angles in a Triangle
Angles
Similar Rectangles
Pythagorean Theorem (Video) Try it now  
Pythagorean theorem
Unit Test: Geometry
Finding Mean, Median and Mode
Probability
Unit Test: Data Management and Probability