# Elite Mathematics Elite Mathematics
BASIC
- Home Schooling -
• Only USD 44.95 per year
• Access to Elite Mathematics
• Complete with all the tools needed to teach at home
• Starts with a single student
* The number of students can be increased at an additional cost of USD 9.95 per student.
PREMIUM
- Teachers -
• Only USD 254.95 per year
• Access to Elite Mathematics
• 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.

## Elite Mathematics - Overview

Elite Mathematics is designed to be an enrichment program that is recommended for students in grades five through eight (5-8). This program not only covers the standards of most math curricula, but also provides the enrichment for students looking to participate in mathematics competitions. The goal of Elite Mathematics is to help students develop a broad range of mathematics comprehension that will be the strong basis upon which they will build new learning within advanced high school math and science programs.

The primary focus of this course is to teach the student that a number behaves as a number no matter what shape it comes in. Integers, decimal numbers, and fractions all obey the same rules. We also work to instill understanding of replacing numerical values with variables. This opens a whole new mental dimension that allows students to understand and adopt computer science, physics, and other scientific concepts with much more ease.

Within this course we intentionally use various methods to solve similar problems in order to encourage both the educators and students to compare the methods and eventually develop their own styles and paths when working towards a solution. The worksheets for this course include a number of "Challenge" problems for students who would like to go beyond the set parameters of the course. These problems can help prepare students for non-standardized tests and math contests, such as Gauss. Also, a number of fun inquiry activities are placed within the text to supplement the material and get the students to think creatively, and apply mathematical concepts to unusual problems.

## Elite Mathematics - Samples

Try out some of the on-line quizzes:

Check out some of our material:

## Elite Mathematics - Contents

Unit 1:   Number Sense and Numeration
In this unit students will review basic concepts and learn the four operations in detail. Negative numbers are introduced, and a number of lessons are dedicated to BEDMAS rules. Students will gain a strong number sense which will increase their confidence and build a strong foundation in mathematics. The unit includes a variety of challenging contest questions with useful strategies aimed to prepare students for challenging competitions in mathematics. A special review includes questions to help students excel in standardized tests, such as EQAO or FSA.
Lesson 1:   Place Value Lesson 2:   Decimal Numbers Lesson 3:   Negative Numbers Lesson 4:   Powers of 10 Lesson 5:   Addition and Subtraction with Negative Numbers Lesson 6:   Multiplication and Division with Negative Numbers Lesson 7:   Exponents Lesson 8:   Mixed Operations with Negative Numbers Lesson 9:   Brackets Lesson 10:   Properties of Addition and Subtraction Lesson 11:   Properties of Multiplication and Division Lesson 12:   Special Types of Numbers Lesson 13:   Rounding of Numbers Lesson 14:   Order of Operations Lesson 15:   BEDMAS (Part 1) Lesson 16:   BEDMAS (Part 2) Lesson 17:   BEDMAS (Part 3) Lesson 18:   Greatest Common Factor (GCF) Lesson 19:   Lowest Common Multiple (LCM) Lesson 20:   Fractions Lesson 21:   BEDMAS (Part 4) - Fractions Lesson 22:   BEDMAS (Part 5) Lesson 23:   Percentages Lesson 24:   Substitutions Lesson 25:   Unit Conversions Lesson 26:   Unit Rates Lesson 27:   Word Problems Lesson 28:   Test Preparation
Unit 2:   Patterns and Algebra
The main goal of this unit on algebra is to enhance students' understanding and confidence when working with variables. Traditionally, number patterns are used as an introduction to algebra. In this unit students are introduced to different types of patterns and are guided in solving them logically. This paves the way not only more advanced algebra, but also towards concepts found in computer science. 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 - Creations Lesson 4:   Concepts of Algebra Lesson 5:   Simple Equations Lesson 6:   Solving Simple Inequalities Lesson 7:   Variables Lesson 8:   Equations II Lesson 9:   Extension: Number Patterns - Summations Lesson 10:   Word Problems Lesson 11:   Test Preparation
Unit 3:   Measurement
This unit on measurement begins with introducing students to units and unit conversions. Subsequently, students are cleverly guided from zero-dimensional objects (points) through one-dimensional lines and two-dimensional shapes, to three-dimensional figures. Students' algebraic skills are reinforced with calculations of area and volume. The importance of precision and neatness is strongly reinforced throughout this unit.
Lesson 1:   Units Review Lesson 2:   Dimensions, Points, Lines, Figures Lesson 3:   Perimeter Lesson 4:   Angles Lesson 5:   A Circle and a Disk Lesson 6:   Area: Concepts Lesson 7:   Area: Calculation Lesson 8:   Volume Lesson 9:   Polygon Classification Lesson 10:   Prisms Lesson 11:   Surface Area of a Prism Lesson 12:   Real World Applications - Perimeter, Area and Volume Lesson 13:   Test Preparation
Unit 4:   Geometry
In this unit students will learn about geometry. Coordinate systems and transformation of shapes are introduced, and the algebra knowledge from previous units is extended to solving equations related to finding angles in various shapes. Students are guided in constructing shapes using a ruler and compass, and geometric transformations are discussed in detail. Special focus is dedicated to symmetries, as such questions are routinely found on standardized tests.
Lesson 1:   Angles Lesson 2:   Cartesian Coordinate System Lesson 3:   Plotting Coordinates Lesson 4:   Transformations Lesson 5:   Symmetry Lesson 6:   Symmetry of 2D shapes Lesson 7:   Translation Lesson 8:   Rotation Lesson 9:   Reflections Lesson 10:   Comparing Geometric Shapes Lesson 11:   Test Preparation
Unit 5:   Data Management and Probability
The fifth and final unit of Elite Mathematics deals with statistics, graphs, and probability. Students are introduced to calculating an arithmetic mean. The lessons are designed to guide students through a variety of scaled graphs representing gathered data, and to analyze data from a random sample, learning 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 in this unit are regularly found on standardized tests and math contests.
Lesson 1:   Arithmetic Mean Lesson 2:   Introduction to Graphs Lesson 3:   Using Graphs Lesson 4:   Creating Graphs Lesson 5:   Graphs: Making Conclusions Lesson 6:   Probability Lesson 7:   Probability of a Single Event Lesson 8:   Combinations and Permutations Lesson 9:   Probability - Predictions Lesson 10:   Opposite, Exclusive and Overlapping Events Lesson 11:   Test Preparation

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

Title Type Attached to
Place Value worksheet Lesson: Place Value
Place Value - Solutions worksheet Lesson: Place Value
Visualizing Fractions and Decimal Numbers resource Lesson: Place Value
Decimal Numbers Review worksheet Lesson: Decimal Numbers
Decimal Numbers Review - Solutions worksheet Lesson: Decimal Numbers
Decimal Numbers homework Lesson: Decimal Numbers
Decimal Numbers - Solutions homework Lesson: Decimal Numbers
Negative Numbers worksheet Lesson: Negative Numbers
Negative Numbers - Solutions worksheet Lesson: Negative Numbers
Negative Numbers homework Lesson: Negative Numbers
Negative Numbers - Solutions homework Lesson: Negative Numbers
Powers of 10 worksheet Lesson: Powers of 10
Powers of 10 - Solutions worksheet Lesson: Powers of 10
Powers of 10 homework Lesson: Powers of 10
Powers of 10 - Solutions homework Lesson: Powers of 10
Wheat and Chessboard Problem activity Lesson: Powers of 10
Addition and Subtraction with Negative Numbers worksheet Lesson: Addition and Subtraction with Negative Numbers
Addition and Subtraction with Negative Numbers - Solution worksheet Lesson: Addition and Subtraction with Negative Numbers
Multiplication and Division with Negative Numbers worksheet Lesson: Multiplication and Division with Negative Numbers
Multiplication and Division with Negative Numbers worksheet Lesson: Multiplication and Division with Negative Numbers
Multiplication and Division with Negative Numbers homework Lesson: Multiplication and Division with Negative Numbers
Multiplication and Division with Negative Numbers - Solutions homework Lesson: Multiplication and Division with Negative Numbers
Exponents worksheet Lesson: Exponents
Exponents - Solutions worksheet Lesson: Exponents
Exponents homework Lesson: Exponents
Exponents homework Lesson: Exponents
Mixed Operations with Negative Numbers worksheet Lesson: Mixed Operations with Negative Numbers
Mixed Operations with Negative Numbers - Solutions worksheet Lesson: Mixed Operations with Negative Numbers
Mixed Operations with Negative Numbers homework Lesson: Mixed Operations with Negative Numbers
Mixed Operations with Negative Numbers - Solutions homework Lesson: Mixed Operations with Negative Numbers
Brackets worksheet Lesson: Brackets
Brackets - Solutions worksheet Lesson: Brackets
Brackets homework Lesson: Brackets
Brackets - Solutions homework Lesson: Brackets
Additional practice for Brackets practice Lesson: Brackets
Additional practice for Brackets - Solutions practice Lesson: Brackets
Properties of Addition and Subtraction worksheet Lesson: Properties of Addition and Subtraction
Properties of Addition and Subtraction - Solutions worksheet Lesson: Properties of Addition and Subtraction
Properties of Multiplication and Division worksheet Lesson: Properties of Multiplication and Division
Properties of Multiplication and Division - Solutions worksheet Lesson: Properties of Multiplication and Division
Properties of Multiplication and Division homework Lesson: Properties of Multiplication and Division
Properties of Multiplication and Division - Solutions homework Lesson: Properties of Multiplication and Division
Special Types of Numbers worksheet Lesson: Special Types of Numbers
Special Types of Numbers - Solutions worksheet Lesson: Special Types of Numbers
Special Types of Numbers homework Lesson: Special Types of Numbers
Special Types of Numbers - Solutions homework Lesson: Special Types of Numbers
Sieve of Eratosthenes activity Lesson: Special Types of Numbers
The Number of the Beast activity Lesson: Special Types of Numbers
Sieve of Eratosthenes - Solutions activity Lesson: Special Types of Numbers
Rounding of Numbers worksheet Lesson: Rounding of Numbers
Rounding of Numbers - Solutions worksheet Lesson: Rounding of Numbers
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
BEDMAS I worksheet Lesson: BEDMAS (Part 1)
BEDMAS I - Solutions worksheet Lesson: BEDMAS (Part 1)
BEDMAS II worksheet Lesson: BEDMAS (Part 2)
BEDMAS II - Solutions worksheet Lesson: BEDMAS (Part 2)
BEDMAS II homework Lesson: BEDMAS (Part 2)
BEDMAS II - Solutions homework Lesson: BEDMAS (Part 2)
BEDMAS III worksheet Lesson: BEDMAS (Part 3)
BEDMAS III - Solutions worksheet Lesson: BEDMAS (Part 3)
BEDMAS III homework Lesson: BEDMAS (Part 3)
BEDMAS III - Solutions homework Lesson: BEDMAS (Part 3)
Make a Number Sentence activity Lesson: BEDMAS (Part 3)
Greatest Common Factor worksheet Lesson: Greatest Common Factor (GCF)
Greatest Common Factor - Solutions worksheet Lesson: Greatest Common Factor (GCF)
Lowest Common Multiple worksheet Lesson: Lowest Common Multiple (LCM)
Lowest Common Multiple - Solutions worksheet Lesson: Lowest Common Multiple (LCM)
Lowest Common Multiple homework Lesson: Lowest Common Multiple (LCM)
Lowest Common Multiple - Solutions homework Lesson: Lowest Common Multiple (LCM)
Fractions Review worksheet Lesson: Fractions
Fractions Review - Solutions worksheet Lesson: Fractions
Fractions homework Lesson: Fractions
Fractions - Solutions homework Lesson: Fractions
The Summoner's Tale activity Lesson: Fractions
The Summoner's Tale - Solutions activity Lesson: Fractions
BEDMAS IV worksheet Lesson: BEDMAS (Part 4) - Fractions
BEDMAS IV - Solutions worksheet Lesson: BEDMAS (Part 4) - Fractions
BEDMAS V worksheet Lesson: BEDMAS (Part 5)
BEDMAS V - Solutions worksheet Lesson: BEDMAS (Part 5)
BEDMAS V homework Lesson: BEDMAS (Part 5)
BEDMAS V - Solutions homework Lesson: BEDMAS (Part 5)
Percents worksheet Lesson: Percentages
Percents - Solutions worksheet Lesson: Percentages
Percents homework Lesson: Percentages
Percents - Solutions homework Lesson: Percentages
Substitutions worksheet Lesson: Substitutions
Substitutions - Solutions worksheet Lesson: Substitutions
Substitutions homework Lesson: Substitutions
Substitutions - Solutions homework Lesson: Substitutions
Unit Conversions worksheet Lesson: Unit Conversions
Unit Conversions - Solutions worksheet Lesson: Unit Conversions
Unit Rates worksheet Lesson: Unit Rates
Unit Rates - Solutions worksheet Lesson: Unit Rates
Measurements activity 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
Test Preparation worksheet Lesson: Test Preparation
Test Preparation - Solutions worksheet Lesson: Test Preparation
Analyzing Number Patterns worksheet Lesson: Analyzing Number Patterns
Analyzing Number Patterns - Solutions worksheet Lesson: Analyzing Number Patterns
Number Patterns - Predictions worksheet Lesson: Number Patterns - Predictions
Number Patterns - Predictions - Solutions worksheet Lesson: Number Patterns - Predictions
Number Patterns - Predictions homework Lesson: Number Patterns - Predictions
Number Patterns - Predictions - Solutions homework Lesson: Number Patterns - Predictions
Number Patterns - Creations worksheet Lesson: Number Patterns - Creations
Number Patterns - Creations - Solutions worksheet Lesson: Number Patterns - Creations
Zeno’s Paradoxes activity Lesson: Number Patterns - Creations
Concepts of Algebra worksheet Lesson: Concepts of Algebra
Concepts of Algebra - Solutions worksheet Lesson: Concepts of Algebra
Simple Equations worksheet Lesson: Simple Equations
Simple Equations - Solutions worksheet Lesson: Simple Equations
Simple Equations homework Lesson: Simple Equations
Simple Equations - Solutions homework Lesson: Simple Equations
Solving Simple Inequalities worksheet Lesson: Solving Simple Inequalities
Solving Simple Inequalities - Solutions worksheet Lesson: Solving Simple Inequalities
Variables worksheet Lesson: Variables
Variables - Solutions worksheet Lesson: Variables
Equations II worksheet Lesson: Equations II
Equations II - Solutions worksheet Lesson: Equations II
Equations II homework Lesson: Equations II
Equations II - Solutions homework Lesson: Equations II
Number Patterns - Summations worksheet Lesson: Extension: Number Patterns - Summations
Number Patterns - Summations - Solutions worksheet Lesson: Extension: Number Patterns - Summations
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
Ahmes Papyrus activity Lesson: Word Problems
Test Preparation worksheet Lesson: Test Preparation
Test Preparation - Solutions worksheet Lesson: Test Preparation
Units Review worksheet Lesson: Units Review
Units Review - Solutions worksheet Lesson: Units Review
Units Review homework Lesson: Units Review
Units Review - Solutions homework Lesson: Units Review
Dimensions worksheet Lesson: Dimensions, Points, Lines, Figures
Dimensions - Solutions worksheet Lesson: Dimensions, Points, Lines, Figures
Perimeter worksheet Lesson: Perimeter
Perimeter - Solutions worksheet Lesson: Perimeter
Angles worksheet Lesson: Angles
Angles - Solutions worksheet Lesson: Angles
Angles homework Lesson: Angles
Angles - Solutions homework Lesson: Angles
Clock Angles activity Lesson: Angles
Make your own Protractors resource Lesson: Angles
A Circle and a Disk worksheet Lesson: A Circle and a Disk
A Circle and a Disk - Solutions worksheet Lesson: A Circle and a Disk
Area: Concepts worksheet Lesson: Area: Concepts
Area: Concepts - Solutions worksheet Lesson: Area: Concepts
Area: Calculation worksheet Lesson: Area: Calculation
Area: Calculation - Solutions worksheet Lesson: Area: Calculation
Area: Calculation homework Lesson: Area: Calculation
Area: Calculation - Solutions homework Lesson: Area: Calculation
Volume worksheet Lesson: Volume
Volume - Solutions worksheet Lesson: Volume
Polygon Classification worksheet Lesson: Polygon Classification
Polygon Classification - Solutions worksheet Lesson: Polygon Classification
Drawing Stars activity Lesson: Polygon Classification
Prisms worksheet Lesson: Prisms
Prisms - Solutions worksheet Lesson: Prisms
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
Real World Applications - Perimeter, Area and Volume worksheet Lesson: Real World Applications - Perimeter, Area and Volume
Real World Applications - Perimeter, Area and Volume - Solutions worksheet Lesson: Real World Applications - Perimeter, Area and Volume
Test Preparation worksheet Lesson: Test Preparation
Test Preparation - Solutions worksheet Lesson: Test Preparation
Angles worksheet Lesson: Angles
Angles - Solutions worksheet Lesson: Angles
Angles homework Lesson: Angles
Angles - Solutions homework Lesson: Angles
Cartesian Coordinate System worksheet Lesson: Cartesian Coordinate System
Cartesian Coordinate System - Solutions worksheet Lesson: Cartesian Coordinate System
Plotting Coordinates worksheet Lesson: Plotting Coordinates
Plotting Coordinates - Solutions worksheet Lesson: Plotting Coordinates
Plotting Coordinates homework Lesson: Plotting Coordinates
Plotting Coordinates - Solutions homework Lesson: Plotting Coordinates
Transformations worksheet Lesson: Transformations
Transformations - Solutions worksheet Lesson: Transformations
Transform Letter A activity Lesson: Transformations
Symmetry worksheet Lesson: Symmetry
Symmetry - Solutions worksheet Lesson: Symmetry
Symmetry of 2D shapes worksheet Lesson: Symmetry of 2D shapes
Symmetry of 2D shapes - Solutions worksheet Lesson: Symmetry of 2D shapes
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
Comparing Geometrical Shapes worksheet Lesson: Comparing Geometric Shapes
Comparing Geometrical Shapes - Solutions worksheet Lesson: Comparing Geometric Shapes
Sierpinski Triangle activity Lesson: Comparing Geometric Shapes
Test Preparation worksheet Lesson: Test Preparation
Test Preparation - Solutions worksheet Lesson: Test Preparation
Arithmetic Mean worksheet Lesson: Arithmetic Mean
Arithmetic Mean - Solutions worksheet Lesson: Arithmetic Mean
Arithmetic Mean homework Lesson: Arithmetic Mean
Arithmetic Mean - Solutions homework Lesson: Arithmetic Mean
Pigeonhole Principle activity Lesson: Arithmetic Mean
Pigeonhole Principle - Solutions activity Lesson: Arithmetic Mean
Introduction to Graphs worksheet Lesson: Introduction to Graphs
Introduction to Graphs - Solutions worksheet Lesson: Introduction to Graphs
Using Graphs - Solutions worksheet Lesson: Using Graphs
Using Graphs worksheet Lesson: Using Graphs
Creating Graphs worksheet Lesson: Creating Graphs
Creating Graphs - Solutions worksheet Lesson: Creating Graphs
Benford’s Law activity Lesson: Creating Graphs
Graphs: Making Conclusions worksheet Lesson: Graphs: Making Conclusions
Graphs: Making Conclusions - Solutions worksheet Lesson: Graphs: Making Conclusions
Grant’s Life Table activity Lesson: Graphs: Making Conclusions
Probability worksheet Lesson: Probability
Probability - Solutions worksheet Lesson: Probability
Probability of a Single Event worksheet Lesson: Probability of a Single Event
Probability of a Single Event - Solutions worksheet Lesson: Probability of a Single Event
Probability of a Single Event homework Lesson: Probability of a Single Event
Probability of a Single Event - Solutions homework Lesson: Probability of a Single Event
Rock, Paper, Scissors activity Lesson: Probability of a Single Event
Combinations and Permutations worksheet Lesson: Combinations and Permutations
Combinations and Permutations - Solutions worksheet Lesson: Combinations and Permutations
Combinations and Permutations homework Lesson: Combinations and Permutations
Combinations and Permutations - Solutions homework Lesson: Combinations and Permutations
Probability - Predictions worksheet Lesson: Probability - Predictions
Probability - Predictions - Solutions worksheet Lesson: Probability - Predictions
Probabilities in Chess activity Lesson: Probability - Predictions
Opposite, Exclusive and Overlapping Events worksheet Lesson: Opposite, Exclusive and Overlapping Events
Opposite, Exclusive and Overlapping Events - Solutions worksheet Lesson: Opposite, Exclusive and Overlapping Events
Test Preparation worksheet Lesson: Test Preparation
Test Preparation - Solutions worksheet Lesson: Test Preparation

Evaluations are designed to engage students in mastering their skills

 Final Exam Operations with Natural Numbers Simplifying Fractions Adding and Subtracting Fractions Multiplying and Dividing Fractions Decimal Numbers and Decimal Fractions Adding and Subtracting Decimal Numbers Multiplying and Dividing Decimal Numbers Absolute Values and Opposite Numbers Comparing and Ordering Numbers Multiplication and Division with Powers of 10 Addition and Subtraction with Negative Numbers Multiplication and Division Mixed Operations with Negative Numbers - Level 1 Mixed Operations with Negative Numbers - Level 2 Brackets Distributive Property Multiplying Fractions - Video Review Divisibility Rounding of Numbers Order of Operations Expressions with 3 Terms Expressions with Brackets Simple Exponents BEDMAS practice Splitting Numbers into Factors Lowest Common Multiple Fractions Operations with Fractions Expressions with Fractions BEDMAS with Fractions Percentages Using Percentages Substitutions Unit Conversions - Level 1 Unit Conversions - Level 2 Rates Ratios Unit Test: Number Sense and Numeration Exponents Negative Exponents Arithmetic Patterns Geometric Patterns Mixed Patterns Find the Pattern Rule Using Pattern Rules Concepts of Algebra Simple Equations Simple Inequalities Known and Unknown Multi-Step Equations Solving Linear Equations Solving Linear Equations II Might and Magic Unit Test: Patterns and Algebra Units Review Units for Time Finding Perimeter Find Missing Side Angles in a Triangle Angles in a Triangle II Area and Perimeter Area II Volume I Angles in Triangles and Quadrilaterals Volume II Surface Area Unit Test: Measurement Cartesian Coordinate System Plotting Coordinates Unit Test: Geometry Arithmetic Mean Reading Charts Probability of a Single Event Permutations Combinations Probability Unit Test: Data Management and Probability