Mathematics 6

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**Mathematics 6** - Complete with all the tools needed to teach at home
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**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 USD 9.95 per student.

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.

Check out some of our material:

Prime and Composite Numbers
Prime and Composite Numbers - Solutions

Five 2s

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

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

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.

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.

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 |