Mathematics 6

Mathematics 6
Mathematics 6
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  • Complete with all the tools needed to teach at home
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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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  • Access to Mathematics 6
  • 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 6 - Overview

The Mathematics 6 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.

The aim of this course is to help students get comfortable with mathematical expressions. Focus is given to various techniques in order to achieve this, in addition to a multitude of quizzes and practice worksheets. Activities are spread out throughout the course so that students have a fun way to apply the concepts they will learn in the following lessons.

We have also added specific practice questions and review material to prepare students for standardized testing, such as EQAO and FSA.

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 6 - Samples

Try out some of the on-line quizzes:
Adding and Subtracting Integers (Level 1)  
Check out some of our material:
Prime and Composite Numbers  
Prime and Composite Numbers - Solutions  
Five 2s  

Mathematics 6 - Contents

Unit 1:   Number Sense and Numeration
In the first unit of the Mathematics 6 course, students will cover number sense and numeration. The goal of this course is to have students build confidence and be able to work with any types of numbers, including integers, fractions, percents, and decimals. A few lessons are dedicated to BEDMAS rules with rational numbers. This unit also includes a variety of challenging test questions with useful strategies aimed at preparing students for challenging math competitions.
Lesson 1:   Place Value in Whole Numbers Lesson 2:   Place Value in Decimal Numbers Lesson 3:   Multiplying and Dividing Numbers by 10, 100, 1000 ... Lesson 4:   Operations with Whole Numbers Lesson 5:   Operations with Decimal Numbers Lesson 6:   Operations with Integers Lesson 7:   Order of Operations Lesson 8:   Prime and Composite Numbers Lesson 9:   Proper and Improper Fractions Lesson 10:   Equivalent Fractions Lesson 11:   Operations with Fractions Lesson 12:   Percents Lesson 13:   Unit Conversions Lesson 14:   Unit Conversions, Part 2 Lesson 15:   Ratios Lesson 16:   Unit Rates Lesson 17:   Word Problems Lesson 18:   Unit 1 Review
Unit 2:   Patterns and Algebra
The main goal of the unit on algebra is to build students’ confidence when working with variables. Students will learn to solve simple equations and recognize mathematical patterns. Traditionally, number patterns are used as an introductory material into algebra. In this unit students are introduced to different types of patters and guided to solve them through a logical process. This leads a way not only towards more advanced algebra, but also toward concepts found in computer science. This unit encourages use of variables through a clever pick of examples and practice problems that require higher level thinking. After completing this unit, students should feel comfortable with using and manipulating variables.
Lesson 1:   Analyzing Number Patterns Lesson 2:   Number Patterns - Predictions Lesson 3:   Number Patterns - Tables and Graphs Lesson 4:   Algebraic Expressions Lesson 5:   Solving 1-Step Equations Lesson 6:   Solving 2-Step Equations Lesson 7:   Translating Word Problems Into Algebraic Expressions Lesson 8:   Unit 2 Review
Unit 3:   Measurements
The unit on measurements begins by introducing students to units and unit conversions. Students are cleverly guided from zero-dimensional objects (a point) through one-dimensional lines and two-dimensional shapes (squares, triangles etc.) into three-dimensional figures (cubes, prisms and spheres). Students’ algebraic skills from the previous unit are reinforced in calculating perimeters and areas of various 2D shapes as well as volumes and surface areas of 3D figures. Students are encouraged to master their skills when working with units, exponents and variables. The importance of precision and neatness is strongly reinforced throughout this unit.
Lesson 1:   Review: Units Lesson 2:   Perimeter Lesson 3:   Area: Calculation Lesson 4:   Volume Lesson 5:   Surface Area of a Prism Lesson 6:   Unit 3 Review
Unit 4:   Geometry
The fourth unit focuses on geometry, introducing students to coordinate systems and transformations of shapes. The knowledge from the algebra unit is extended to solving equations related to finding angles in triangles and quadrilaterals. Students are guided in constructing angles and line bisectors using only a ruler and a compass. Translations, rotations and reflections are discussed in detail. Special focus is dedicated to symmetries found in a variety of questions within standardized tests.
Lesson 1:   Angles Lesson 2:   Symmetry Lesson 3:   Transformations Lesson 4:   Cartesian Coordinate System Lesson 5:   2D Shapes on the Cartesian Plane Lesson 6:   Translation Lesson 7:   Rotation Lesson 8:   Reflections Lesson 9:   Extension: Comparing Geometric Shapes Lesson 10:   Unit 4 Review
Unit 5:   Data Management and Probability
The final unit of Mathematics 6 deals with statistics, graphs and probability. Students are introduced to calculating an arithmetic mean. Lessons are designed to guide students through a variety of scaled graphs to represent gathered data. Students also learn to analyze data from a random sample and use graphing methods to draw inferences and find trends. The lessons on probability include probability of a single event, permutations and combinations, predictions, opposite, exclusive and overlapping events. Questions found in this unit appear regularly on standardized tests and in math contests.
Lesson 1:   Mean, Median and Mode Lesson 2:   Graphs and Graphing Lesson 3:   Using Graphs Lesson 4:   Graphs: Making Conclusions Lesson 5:   Probability Lesson 6:   Extension: Permutations and Combinations Lesson 7:   Extension: Probability - Predictions Lesson 8:   Extension: Opposite, Exclusive and Overlapping Events Lesson 9:   Unit 5 Review

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

Title Type Attached to
Place Value in Whole Numbers worksheet Lesson: Place Value in Whole Numbers
Place Value in Whole Numbers - Solutions worksheet Lesson: Place Value in Whole Numbers
Place Value in Whole Numbers homework Lesson: Place Value in Whole Numbers
Place Value in Whole Numbers - Solutions homework Lesson: Place Value in Whole Numbers
Place Value in Decimal Numbers worksheet Lesson: Place Value in Decimal Numbers
Place Value in Decimal Numbers - Solutions worksheet Lesson: Place Value in Decimal Numbers
Place Value in Rational Numbers homework Lesson: Place Value in Decimal Numbers
Place Value in Rational Numbers - Solutions homework Lesson: Place Value in Decimal Numbers
Multiplying and Dividing Numbers by 10, 100, 1000 ... worksheet Lesson: Multiplying and Dividing Numbers by 10, 100, 1000 ...
Multiplying and Dividing Numbers by 10, 100, 1000 ... - Solutions worksheet Lesson: Multiplying and Dividing Numbers by 10, 100, 1000 ...
Multiplying and Dividing Numbers by 10, 100, 1000 ... homework Lesson: Multiplying and Dividing Numbers by 10, 100, 1000 ...
Multiplying and Dividing Numbers by 10, 100, 1000 ... - Solutions homework Lesson: Multiplying and Dividing Numbers by 10, 100, 1000 ...
Kaprekar's Numbers activity Lesson: Multiplying and Dividing Numbers by 10, 100, 1000 ...
Kaprekar's Numbers - Solutions activity Lesson: Multiplying and Dividing Numbers by 10, 100, 1000 ...
Operations with Whole Numbers worksheet Lesson: Operations with Whole Numbers
Operations with Whole Numbers - Solutions worksheet Lesson: Operations with Whole Numbers
Operations with Whole Numbers homework Lesson: Operations with Whole Numbers
Operations with Whole Numbers - Solutions homework Lesson: Operations with Whole Numbers
Operations with Decimal Numbers worksheet Lesson: Operations with Decimal Numbers
Operations with Decimal Numbers - Solutions worksheet Lesson: Operations with Decimal Numbers
Operations with Decimal Numbers homework Lesson: Operations with Decimal Numbers
Operations with Decimal Numbers - Solutions homework Lesson: Operations with Decimal Numbers
Extension: Operations with Integers worksheet Lesson: Operations with Integers
Extension: Operations with Integers - Solutions worksheet Lesson: Operations with Integers
Addition of Negative Numbers activity Lesson: Operations with Integers
Working With Negative Numbers activity Lesson: Operations with Integers
Addition of Negative Numbers - Solutions activity Lesson: Operations with Integers
Order of Operations worksheet Lesson: Order of Operations
Order of Operations - Solutions worksheet Lesson: Order of Operations
Five 2s activity Lesson: Order of Operations
Five 2s - Solutions activity Lesson: Order of Operations
Order of Operations homework Lesson: Order of Operations
Order of Operations - Solutions homework Lesson: Order of Operations
Prime and Composite Numbers worksheet Lesson: Prime and Composite Numbers
Prime and Composite Numbers - Solutions worksheet Lesson: Prime and Composite Numbers
Prime and Composite Numbers homework Lesson: Prime and Composite Numbers
Prime and Composite Numbers - Solutions homework Lesson: Prime and Composite Numbers
Proper and Improper Fractions worksheet Lesson: Proper and Improper Fractions
Proper and Improper Fractions - Solutions worksheet Lesson: Proper and Improper Fractions
Proper and Improper Fractions homework Lesson: Proper and Improper Fractions
Proper and Improper Fractions - Solutions homework Lesson: Proper and Improper Fractions
Equivalent Fractions worksheet Lesson: Equivalent Fractions
Equivalent Fractions - Solutions worksheet Lesson: Equivalent Fractions
Extension: Operations with Fractions worksheet Lesson: Operations with Fractions
Extension: Operations with Fractions - Solutions worksheet Lesson: Operations with Fractions
Percents worksheet Lesson: Percents
Percents - Solutions worksheet Lesson: Percents
Percents homework Lesson: Percents
Percents - Solutions homework Lesson: Percents
Unit Conversions worksheet Lesson: Unit Conversions
Unit Conversions - Solutions worksheet Lesson: Unit Conversions
Unit Conversions, Part 2 worksheet Lesson: Unit Conversions, Part 2
Unit Conversions, Part 2 - Solutions worksheet Lesson: Unit Conversions, Part 2
Ratios worksheet Lesson: Ratios
Ratios - Solutions worksheet Lesson: Ratios
Unit Rates worksheet Lesson: Unit Rates
Unit Rates - Solutions worksheet Lesson: Unit Rates
Word Problems worksheet Lesson: Word Problems
Word Problems - Solutions worksheet Lesson: Word Problems
Word Problems homework Lesson: Word Problems
Word Problems - Solutions homework Lesson: Word Problems
Unit 1 Review worksheet Lesson: Unit 1 Review
Unit 1 Review - Solutions worksheet Lesson: Unit 1 Review
Unit Test A - Solutions test Lesson: Unit 1 Review
Unit Test A test Lesson: Unit 1 Review
Unit Test B - Solutions test Lesson: Unit 1 Review
Unit Test B test Lesson: Unit 1 Review
Unit Test C - Solutions test Lesson: Unit 1 Review
Unit Test C test Lesson: Unit 1 Review
Unit Test D - Solutions test Lesson: Unit 1 Review
Unit Test D test Lesson: Unit 1 Review
Analyzing Number Patterns worksheet Lesson: Analyzing Number Patterns
Analyzing Number Patterns - Solutions worksheet Lesson: Analyzing Number Patterns
Moving Circles activity Lesson: Analyzing Number Patterns
Number Patterns - Predictions worksheet Lesson: Number Patterns - Predictions
Number Patterns - Predictions - Solutions worksheet Lesson: Number Patterns - Predictions
Number Patterns - Tables and Graphs worksheet Lesson: Number Patterns - Tables and Graphs
Number Patterns - Tables and Graphs - Solutions worksheet Lesson: Number Patterns - Tables and Graphs
Algebraic Expressions worksheet Lesson: Algebraic Expressions
Algebraic Expressions - Solutions worksheet Lesson: Algebraic Expressions
Algebraic Expressions homework Lesson: Algebraic Expressions
Algebraic Expressions - Solutions homework Lesson: Algebraic Expressions
Solving 1-Step Equations worksheet Lesson: Solving 1-Step Equations
Solving 1-Step Equations - Solutions worksheet Lesson: Solving 1-Step Equations
Solving 1-Step Equations homework Lesson: Solving 1-Step Equations
Solving 1-Step 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
Translating Word Problems Into Algebraic Expressions worksheet Lesson: Translating Word Problems Into Algebraic Expressions
Translating Word Problems Into Algebraic Expressions - Solutions worksheet Lesson: Translating Word Problems Into Algebraic Expressions
Unit 2 Review worksheet Lesson: Unit 2 Review
Unit 2 Review - Solutions worksheet Lesson: Unit 2 Review
Unit Test A - Solutions test Lesson: Unit 2 Review
Unit Test A test Lesson: Unit 2 Review
Unit Test B - Solutions test Lesson: Unit 2 Review
Unit Test B test Lesson: Unit 2 Review
Unit Test C - Solutions test Lesson: Unit 2 Review
Unit Test C test Lesson: Unit 2 Review
Unit Test D - Solutions test Lesson: Unit 2 Review
Unit Test D test Lesson: Unit 2 Review
Review: Units worksheet Lesson: Review: Units
Review: Units - Solutions worksheet Lesson: Review: Units
Perimeter worksheet Lesson: Perimeter
Perimeter - Solutions worksheet Lesson: Perimeter
Perimeter homework Lesson: Perimeter
Perimeter - Solutions homework Lesson: Perimeter
Slitherlink activity Lesson: Perimeter
Slitherlink - Solutions activity Lesson: Perimeter
Area: Calculation worksheet Lesson: Area: Calculation
Area: Calculation - Solutions worksheet Lesson: Area: Calculation
Area homework Lesson: Area: Calculation
Area - Solutions homework Lesson: Area: Calculation
Volume worksheet Lesson: Volume
Volume - Solutions worksheet Lesson: Volume
Volume homework Lesson: Volume
Volume - Solutions homework Lesson: Volume
Surface Area of a Prism worksheet Lesson: Surface Area of a Prism
Surface Area of a Prism - Solutions worksheet Lesson: Surface Area of a Prism
Surface Area homework Lesson: Surface Area of a Prism
Surface Area - Solutions homework Lesson: Surface Area of a Prism
Folding 3D Objects activity Lesson: Surface Area of a Prism
Unit 3 Review worksheet Lesson: Unit 3 Review
Unit 3 Review - Solutions worksheet Lesson: Unit 3 Review
Unit Test A - Solutions test Lesson: Unit 3 Review
Unit Test A test Lesson: Unit 3 Review
Unit Test B - Solutions test Lesson: Unit 3 Review
Unit Test B test Lesson: Unit 3 Review
Unit Test C - Solutions test Lesson: Unit 3 Review
Unit Test C test Lesson: Unit 3 Review
Unit Test D - Solutions test Lesson: Unit 3 Review
Unit Test D test Lesson: Unit 3 Review
Angles worksheet Lesson: Angles
Angles - Solutions worksheet Lesson: Angles
Angles homework Lesson: Angles
Angles - Solutions homework Lesson: Angles
Protractors resource Lesson: Angles
Symmetry worksheet Lesson: Symmetry
Symmetry - Solutions worksheet Lesson: Symmetry
Drawing Stars activity Lesson: Symmetry
Transformations worksheet Lesson: Transformations
Transformations - Solutions worksheet Lesson: Transformations
Cartesian Coordinate System worksheet Lesson: Cartesian Coordinate System
Cartesian Coordinate System - Solutions worksheet Lesson: Cartesian Coordinate System
Plotting Coordinates homework Lesson: Cartesian Coordinate System
Plotting Coordinates - Solutions homework Lesson: Cartesian Coordinate System
2D Shapes on the Cartesian Plane worksheet Lesson: 2D Shapes on the Cartesian Plane
2D Shapes on the Cartesian Plane - Solutions worksheet Lesson: 2D Shapes on the Cartesian Plane
Translation worksheet Lesson: Translation
Translation - Solutions worksheet Lesson: Translation
Rotation worksheet Lesson: Rotation
Rotation - Solutions worksheet Lesson: Rotation
Reflections worksheet Lesson: Reflections
Reflections - Solutions worksheet Lesson: Reflections
Extension: Comparing Geometric Shapes worksheet Lesson: Extension: Comparing Geometric Shapes
Extension: Comparing Geometric Shapes - Solutions worksheet Lesson: Extension: Comparing Geometric Shapes
Sierpinski Triangle activity Lesson: Extension: Comparing Geometric Shapes
Unit 4 Review worksheet Lesson: Unit 4 Review
Unit 4 Review - Solutions worksheet Lesson: Unit 4 Review
Unit Test A - Solutions test Lesson: Unit 4 Review
Unit Test A test Lesson: Unit 4 Review
Unit Test B - Solutions test Lesson: Unit 4 Review
Unit Test B test Lesson: Unit 4 Review
Unit Test C - Solutions test Lesson: Unit 4 Review
Unit Test C test Lesson: Unit 4 Review
Unit Test D - Solutions test Lesson: Unit 4 Review
Unit Test D test 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
Mean, Median and Mode homework Lesson: Mean, Median and Mode
Mean, Median and Mode - Solutions homework Lesson: Mean, Median and Mode
Graphs and Graphing worksheet Lesson: Graphs and Graphing
Graphs and Graphing - Solutions worksheet Lesson: Graphs and Graphing
Graphing homework Lesson: Graphs and Graphing
Graphing - Solutions homework Lesson: Graphs and Graphing
Using Graphs worksheet Lesson: Using Graphs
Using Graphs - Solutions worksheet Lesson: Using Graphs
Benford's Law activity Lesson: Using Graphs
Graphs: Making Conclusions worksheet Lesson: Graphs: Making Conclusions
Graphs: Making Conclusions - Solutions worksheet Lesson: Graphs: Making Conclusions
Graunt's Life Table activity Lesson: Graphs: Making Conclusions
Probability worksheet Lesson: Probability
Probability - Solutions worksheet Lesson: Probability
Probability homework Lesson: Probability
Probability - Solutions homework Lesson: Probability
Rock, Paper, Scissors activity Lesson: Probability
Extension: Permutations and Combinations worksheet Lesson: Extension: Permutations and Combinations
Extension: Permutations and Combinations - Solutions worksheet Lesson: Extension: Permutations and Combinations
Combinations and Permutations homework Lesson: Extension: Permutations and Combinations
Combinations and Permutations - Solutions homework Lesson: Extension: Permutations and Combinations
Kakuro activity Lesson: Extension: Permutations and Combinations
Kakuro - Solutions activity Lesson: Extension: Permutations and Combinations
Extension: Probability - Predictions worksheet Lesson: Extension: Probability - Predictions
Extension: Probability - Predictions - Solutions worksheet Lesson: Extension: Probability - Predictions
Extension: Opposite, Exclusive and Overlapping Events worksheet Lesson: Extension: Opposite, Exclusive and Overlapping Events
Extension: Opposite, Exclusive and Overlapping Events - Solutions worksheet Lesson: Extension: Opposite, Exclusive and Overlapping Events
Unit 5 Review worksheet Lesson: Unit 5 Review
Unit 5 Review - Solutions worksheet Lesson: Unit 5 Review
Unit Test A - Solutions test Lesson: Unit 5 Review
Unit Test A test Lesson: Unit 5 Review
Unit Test B - Solutions test Lesson: Unit 5 Review
Unit Test B test Lesson: Unit 5 Review
Unit Test C - Solutions test Lesson: Unit 5 Review
Unit Test C test Lesson: Unit 5 Review
Unit Test D - Solutions test Lesson: Unit 5 Review
Unit Test D test Lesson: Unit 5 Review

Evaluations are designed to engage students in mastering their skills

Writing Numbers
Powers of 10
Operations with Whole Numbers
Operations with Decimal Numbers
Adding and Subtracting Integers (Level 1) Try it now  
Adding and Subtracting Integers (Level 2)
Multiplying integers (level 1)
Multiplying integers (level 2)
Dividing integers
Order of Operations
Fun with Factors
Composite Numbers
Mixed Numbers to Improper Fractions
Improper Fractions to Mixed Numbers
Simplifying Fractions
Adding and Subtracting Fractions with Same Denominators
Adding and Subtracting Fractions with Different Denominators
Multiplying Fractions
Dividing Fractions
Percentages
One Step Metric Unit Conversions
Ratios
Unit Rates
Arithmetic Patterns
Geometric Pattern
Simple Equations with Addition/Subtraction
Simple Equations with Multiplication
2-Step Equations (Level 1)
2-Step Equations (Level 2)
Might and Magic
Unknown Length
Known and Unknown
Metric Units Conversions
Units for Time
Finding Perimeter
Find Missing Side
Area Calculations
Area Calculations
Volume
Volume Calculations
Surface Area Calculations
Unit 3 Review
Cartesian Coordinate System
Graphing Functions
Graphing Linear Functions
Graphing Area and Perimeter
Reading Charts