# Overview

## Our Approach

Our mission is to help every student who studies our courses enjoy learning math and become more successful.

Our courses follow are designed to be used as a supporting resource by students and teachers for the **Ontario Ministry of Education Mathematics Curriculum**. The Learning, Teaching and Class Management Tools empower students to be involved in directing their own learning and teachers to differentiate instruction. We do not grant credits towards a high school diploma.

### NEW Grade 9 Mathematics (De-streamed Course)

The new Ministry of Ontario curriculum for Grade 9 Mathematics coded MTH has replaced the Grade 9 Academic Level MPM1D course. This new course still has many of topics and lessons that were in the Academic course but also now includes new topics of study. Teachers and students in 9 MTH can still use the Academic level lessons and learning materials. New lessons are being developed on an ongoing basis.

We believe that teachers are paramount to fostering a learning environment where students can exercise their inquisitive minds and collaborate to understand concepts and their use. Our courses make every attempt to meet the mathematical processes that students are expected to learn, recognizing at the same time though, the limitations of online learning. It is up to the classroom experience to complete the learning process. The use of manipulatives, group projects and the inquiry model of thinking are strategies that can be more fully developed with the teacher in class.

## The MathWiz Classroom

This is where you can watch and listen to our lessons. The lessons are voiced animations and not videos of a teacher on a blackboard or hand-writing with a stylus pen on a screen. Navigation through the lessons is very easy and visually appealing.

You can view a short selection of demo lessons using the **View Demo Video** link and a short course Outline using **View Course Outline Video** link below.

The **Try MathWiz** page has **Guest Access** links for students and teachers that do not require a login. This is a quick way of watching the demo lessons in the Classroom, sample Study Guides, and some of the other Learning and Class Management Tools.

Each lesson is 5-15 minutes long and includes theory, model solutions to sample problems, and practical applications. They come with Study Guide questions to reinforce the ideas presented and online multiple-choice practice problems that help apply the concepts learned.

Progress reports track completion of the practice problems that come with each lesson. They can be used by the teacher as formative evaluation or diagnostic data to help bridge gaps in understanding of ideas or skill development.

There are many ways to use MathWiz. Some are listed on the Teaching Tools for the Teacher page.

# Grade 9 Mathematics

The new Ministry of Ontario course for Grade 9 Mathematics coded MTH has replaced the Grade 9 Academic Level MPM1D course that was in place up to 2021. This new course still has many of topics and lessons that were in the Academic course but also now includes new topics of study. Teachers and students in 9 MTH can still use the Academic level lessons and learning materials. New lessons are being developed on an ongoing basis.

The course outline below represents the Grade 9 Academic Level course. The new course includes many of these lessons but also includes new ones that MathWiz has not developed yet.

Teachers and students are still able and encouraged to use the lessons and related learning materials that are relevant to the new course.

## Please Note

**
Unit currently under development: **Geometry - lessons are uploaded as completed.

## Polynomials

- Introduction
- Powers and Exponents
- Algebra Basics
- Product Rule
- Power Rule
- Quotient Rule
- Simplify using All Rules
- Collect Like Terms
- Distributive Property
- Simplify Polynomials
- Extension Topics

## Linear Equations

- Introduction
- Solve by Estimation
- One Step Equations
- Two Step Equations
- Equations with Brackets
- Equations with Fractions
- Multi Step Equations
- Formula Rearrangement
- Problem Solving Strategies
- Word Problems

## Linear Relations

- Introduction
- Scatter Plots
- Line of Best Fit
- First Differences
- Linear Relations
- Direct Variation
- Partial Variation
- Point of Intersection
- Distance Time Graphs

## Coordinate Geometry

- Introduction
- Coordinate Plane
- Slope of a Line
- Slope-intercept Form of a Linear Relation
- Equation of a Straight Line
- Standard Form of a Linear Relation
- Parallel Lines
- Perpendicular Lines
- Intersecting Lines
- Equations of Lines
- Non-linear Relations

## Measurement

- Introduction
- Pythagorean Theorem
- Composite 2D Shapes
- Prisms
- Pyramids
- The Cylinder
- The Cone
- The Sphere
- Composite 3D Figures

## Geometry

- Introduction
- Angle Properties
- Triangles and Angles
- Quadrilaterals and Angles
- Polygons and Angles
- Geometry Applications
- Verify Geometric Properties
- Similar Triangles
- Circles and Angles

# Grade 9 Mathematics

The new Ministry of Ontario course for Grade 9 Mathematics coded MTH has replaced the Grade 9 Academic Level MPM1D course that was in place up to 2021. This new course still has many of topics and lessons that were in the Academic course but also now includes new topics of study. Teachers and students in 9 MTH can still use the Academic level lessons and learning materials. New lessons are being developed on an ongoing basis.

The course outline below represents the Grade 9 Academic Level course. The new course includes many of these lessons but also includes new ones that MathWiz has not developed yet.

Teachers and students are still able and encouraged to use the lessons and related learning materials that are relevant to the new course.

## Please Note

**
Unit currently under development: **Geometry - lessons are uploaded as completed.

## Polynomials

- Introduction
- Powers and Exponents
- Algebra Basics
- Product Rule
- Power Rule
- Quotient Rule
- Simplify using All Rules
- Collect Like Terms
- Distributive Property
- Simplify Polynomials
- Extension Topics

## Linear Equations

- Introduction
- Solve by Estimation
- One Step Equations
- Two Step Equations
- Equations with Brackets
- Equations with Fractions
- Multi Step Equations
- Formula Rearrangement
- Problem Solving Strategies
- Word Problems

## Linear Relations

- Introduction
- Scatter Plots
- Line of Best Fit
- First Differences
- Linear Relations
- Direct Variation
- Partial Variation
- Point of Intersection
- Distance Time Graphs

## Coordinate Geometry

- Introduction
- Coordinate Plane
- Slope of a Line
- Slope-intercept Form of a Linear Relation
- Equation of a Straight Line
- Standard Form of a Linear Relation
- Parallel Lines
- Perpendicular Lines
- Intersecting Lines
- Equations of Lines
- Non-linear Relations

## Measurement

- Introduction
- Pythagorean Theorem
- Composite 2D Shapes
- Prisms
- Pyramids
- The Cylinder
- The Cone
- The Sphere
- Composite 3D Figures

## Geometry

- Introduction
- Angle Properties
- Triangles and Angles
- Quadrilaterals and Angles
- Polygons and Angles
- Geometry Applications
- Verify Geometric Properties
- Similar Triangles
- Circles and Angles

# Grade 10 Academic Math Curriculum

The MathWiz curriculum is based on the most recent Ontario Ministry Of Education Guidelines published in 2005.

The three course strands which represent the broader curriculum areas are Analytic Geometry and Linear Systems, Quadratic Relations and Algebra, and Trigonometry. They are organized into 6 units of study. Each unit contains approximately 10 lessons that cover all of the topics or at the very least the large majority of them. Updates and additions are continuously being made as needed.

## Linear Systems

- Introduction
- Slope-intercept Form
- Standard Form
- Solve by Graphing
- Solve by Substitution
- Solve by Elimination A
- Solve by Elimination B
- Solve by Elimination C
- Money Problems
- Mixture Problems
- Motion Problems

## Analytic Geometry

- Introduction
- Slope-Point Form
- Midpoint Formula
- Distance Formula
- Applications of Lines
- Properties of Shapes
- Triangle Special Lines
- Triangle Properties
- Quadrilateral Properties
- Circle Equations
- Circle Properties

## Algebra

- Introduction
- Collect Like Terms
- Exponent Rules
- Algebra Tiles
- Distributive Property
- Multiplying Binomials
- Common Factoring
- Simple Trinomials
- Complex Trinomials
- Perfect Squares
- Difference of Squares
- Multi-stage Factoring

## Quadratic Relation

- Introduction
- Quadratics Intro
- Finite Differences
- Parabola Characteristics
- Vertex Form
- Vertex by Symmetry
- Completing the Square
- Vertical Stretches
- Translations
- All Transformations
- Vertex Applications A
- Vertex Applications B

## Quadratic Equation

- Introduction
- Solve by Graphing
- Solve by Factoring
- Solve by Rooting A
- Solve by Rooting B
- Quadratic Formula
- The Discriminant
- Graphing Key Points
- Key Points Problems
- Quadratic Applications

## Trigonometry

- Introduction
- Similar Triangles
- Similar Triangle Problems
- Tangent Ratio
- Sine and Cosine Ratios
- Right Triangle Problems
- Two Triangle Problems
- Sine Law
- Sine Law Applications
- Cosine Law
- Cosine Law Applications

# Grade 10 Applied Math Curriculum

The MathWiz curriculum is based on the most recent Ontario Ministry Of Education Guidelines published in 2005.

The three main strands in the course that represent the broader curriculum areas are Measurement and Trigonometry, Modelling Linear Relation, and Quadratic Relations. They are organized into 7 units of study. Each unit contains approximately 8 lessons that cover most if not all of the topics in the course. A few missing lessons are currently being developed and updated when ready.

## Measurement

- Introduction
- Pythagorean Theorem
- Composite 2D Shapes
- Prisms
- Pyramids
- Cylinders
- Cones
- Spheres
- Composite 3D Figures

## Trigonometry

- Introduction
- Similar Triangles
- Similar Triangle Problems
- Tangent Ratio
- Sine Ratio
- Cosine Ratio
- Right Triangle Problems
- Two Triangle Problems

## Linear Equations

- Introduction
- Equation Concept
- One Step Equations
- Two Step Equations
- Equations with Brackets
- Equations with Fractions
- Multi Step Equations
- Word Problems
- Formula Reaarangement

## Linear Relations

- Introduction
- Coordinate Plane
- Rate of Change
- Slope Formula
- Slope-intercept y = mx + b
- Equation from a Graph
- Equation given Data
- Parallel Lines
- Standard Form

## Linear Systems

- Introduction
- Point of Intersection
- Solve POI
- Solve by Graphing
- Solve by Substitution
- Elimination: Add/Subtract
- Elimination: Multiply 1 Eq
- Elimination: Multiply 2 Eq
- Money Problems
- Mixture Problems
- Motion Problems

## Algebra

- Introduction
- Collect Like Terms
- Distributive Property
- Multiply Binomials
- Algebra Tiles
- Common Factoring
- Simple Trinomials
- Difference of Squares
- Perfect Squares