What does the MPM1D course outline cover?
What does the MPM1D course outline cover?
What does the MPM1D course outline cover?
Here is a quick recap on all the units covered in Grade 9 Math
Here is a quick recap on all the units covered in Grade 9 Math
Here is a quick recap on all the units covered in Grade 9 Math
Number Sense and Algebra
Develop fluency in algebraic manipulation, including collecting like terms, expanding expressions, solving linear equations, and working confidently with algebraic relationships.
Number Sense and Algebra
Develop fluency in algebraic manipulation, including collecting like terms, expanding expressions, solving linear equations, and working confidently with algebraic relationships.
Number Sense and Algebra
Develop fluency in algebraic manipulation, including collecting like terms, expanding expressions, solving linear equations, and working confidently with algebraic relationships.
Linear Relations
Learn how to study slope, rate of change, direct and partial variation, linear equations, and graphs that represent relationships between variables.
Linear Relations
Learn how to study slope, rate of change, direct and partial variation, linear equations, and graphs that represent relationships between variables.
Linear Relations
Learn how to study slope, rate of change, direct and partial variation, linear equations, and graphs that represent relationships between variables.
Analytic Geometry
Explore the connection between algebra and geometry through equations of lines, scatter plots, correlation, slope, and lines of best fit.
Analytic Geometry
Explore the connection between algebra and geometry through equations of lines, scatter plots, correlation, slope, and lines of best fit.
Analytic Geometry
Explore the connection between algebra and geometry through equations of lines, scatter plots, correlation, slope, and lines of best fit.
Measurement & Geometry
Apply mathematical reasoning to 3D shapes, surface area, volume, the Pythagorean theorem, and composite figures.
Measurement & Geometry
Apply mathematical reasoning to 3D shapes, surface area, volume, the Pythagorean theorem, and composite figures.
Measurement & Geometry
Apply mathematical reasoning to 3D shapes, surface area, volume, the Pythagorean theorem, and composite figures.
UNIT
1
UNIT
1
Number Sense & Algebra
Number Sense & Algebra
Master the algebra basics that make every later unit easier.
Master the algebra basics that make every later unit easier.
1
Collecting Like Terms
Collecting Like Terms
✓ Like terms have the same variable and exponent.
✓ Combine them by adding or subtracting coefficients.
✓ Like terms have the same variable and exponent.
✓ Combine them by adding or subtracting coefficients.
3x and 7x → (3 + 7)x = 10x
3x and 7x → (3 + 7)x = 10x
5x² and −2x² → (5 − 2)x² = 3x²
5x² and −2x² → (5 − 2)x² = 3x²
4xy and −9xy → (4 − 9)xy = −5xy
4xy and −9xy → (4 − 9)xy = −5xy
WORKED EXAMPLE
5x + 3y − 2x + 7y
= (5x − 2x) + (3y + 7y)
= 3x + 10y
5x + 3y − 2x + 7y
= (5x − 2x) + (3y + 7y)
= 3x + 10y
2
Expanding & Simplifying
Expanding & Simplifying
✓ Expanding removes brackets using the distributive property.
✓ Expanding removes brackets using the distributive property.
a(b + c) = ab + ac
a(b + c) = ab + ac
3(x + 4) = 3x + 12
3(x + 4) = 3x + 12
−2(5x − 3) = −10x + 6
−2(5x − 3) = −10x + 6
x(x + 7) = x² + 7x
x(x + 7) = x² + 7x
WORKED EXAMPLE
3(2x + 5) − 4(x − 1)
= 6x + 15 − 4x + 4
= 2x + 19
3(2x + 5) − 4(x − 1)
= 6x + 15 − 4x + 4
= 2x + 19
Expand first, then collect like terms.
3
Solving Equations
Solving Equations
✓ Golden rule: do the same thing to both sides.
2(x + 3) = 14
2x + 6 = 14
2x = 8
x = 4
2(x + 3) = 14
2x + 6 = 14
2x = 8
x = 4
5x + 3 = 3x + 11
2x = 8
x = 4
5x + 3 = 3x + 11
2x = 8
x = 4
Order matters: expand, collect like terms, isolate.
Key
Key Takeaway
Key Takeaway
Only the coefficient changes when you collect like terms — the variable part stays the same.
Only the coefficient changes when you collect like terms — the variable part stays the same.
Operations with fractions, integers, decimals, percents, and exponent laws. Simplifying expressions, solving linear equations, isolating variables, and solving word problems
Operations with fractions, integers, decimals, percents, and exponent laws. Simplifying expressions, solving linear equations, isolating variables, and solving word problems
UNIT
3
UNIT
3
Analytic Geometry
Analytic Geometry
Graphing lines, understanding equations in the form \(y = mx + b\), and identifying parallel and perpendicular lines.
Use coordinates, slope, and trends to describe lines and data.
Use coordinates, slope, and trends to describe lines and data.
2
Equation of a Line from Two Points
1 Find slope:
m = (y₂ − y₁) / (x₂ − x₁)
2 Substitute one point
into y = mx + b
3 Solve for b
4 Write the full equation
Example: points (2, 5) and (4, 9)
m = (9 − 5) / (4 − 2) = 2
Substitute (2, 5):
5 = 2(2) + b
5 = 4 + b
b = 1
Equation:
y = 2x + 1
1
Scatter Plots & Line of Best Fit
✓ A scatter plot shows the relationship between two data sets.
✓ A line of best fit goes through the middle of the points.
✓ It should have roughly equal numbers of points above and below.
✓ It helps identify trends and make predictions.
Key Idea
Key Idea
Find the slope first, then use a point to build the equation of the line.
Find the slope first, then use a point to build the equation of the line.
Graphing lines, understanding equations in the form \(y = mx + b\), and identifying parallel and perpendicular lines.
UNIT
4
Measurement and Geometry
Know the right formula, label the shape, and use the theorem carefully.
1
3D Shape Formulas
Shape
Surface Area
Volume
Rectangular prism
2(lw + lh + wh)
lwh
Cylinder
2πr² + 2πrh
πr²h
Cone
πr² + πrl
⅓πr²h
Sphere
4πr²
⁴⁄₃πr³
2
Pythagorean Theorem
a² + b² = c²
★
c is the hypotenuse, the longest side, opposite the right angle.
Remember
Choose the correct shape formula first, then substitute values carefully and keep your units.
Properties of 2D shapes and 3D figures, calculating area, perimeter, and volume, as well as optimizing measurements.
Properties of 2D shapes and 3D figures, calculating area, perimeter, and volume, as well as optimizing measurements.
UNIT
2
UNIT
2
Linear Relations
Linear Relations
Straight-line relationships connect variables in a predictable way.
Straight-line relationships connect variables in a predictable way.
1
Key Concepts
Key Concepts
Rate of change:
Rate of change:
how much y changes for every 1 unit increase in x
how much y changes for every 1 unit increase in x
Slope:
rise over run, m = (y₂ − y₁) / (x₂ − x₁)
rise over run, m = (y₂ − y₁) / (x₂ − x₁)
Y-intercept:
Y-intercept:
where the line crosses the y-axis, when x = 0
where the line crosses the y-axis, when x = 0
X-intercept:
X-intercept:
where the line crosses the x-axis, when y = 0
where the line crosses the x-axis, when y = 0
2
Direct vs Partial Variation
Direct vs Partial Variation
Direct Variation
Direct Variation
y = mx
y = mx
Partial Variation
Partial Variation
y = mx + b
y = mx + b
✓
Passes through (0, 0)?
Yes = direct. No = partial.
Passes through (0, 0)?
Yes = direct. No = partial.
3
Slope-Intercept Form
Slope-Intercept Form
y = mx + b
y = mx + b
m
= slope
= slope
b
= y-intercept
= y-intercept
Example:
Example:
y = 2x + 3
y = 2x + 3
m = 2, b = 3
m = 2, b = 3
★
This is the most used equation form in Grade 9 math.
This is the most used equation form in Grade 9 math.
Quick Graphing Steps
1
Plot (0, b)
Plot (0, b)
→
2
Use slope
(rise/run)
Use slope
(rise/run)
→
3
Draw the line
Draw the line
A linear relation is a relationship between two variables that produces a straight line when graphed. This unit connects directly to Grade 10 math and analytic geometry.
A linear relation is a relationship between two variables that produces a straight line when graphed. This unit connects directly to Grade 10 math and analytic geometry.
Free Resources
Free Resources
Where Our Students Go
Where Our Students Go
Where Our Students Go
Pricing
FAQ
FAQ
FAQ
Is Grade 9 Math Hard?
What is collecting like terms?
What is the difference between direct variation and partial variation?
What comes after MPM1D?
Do you offer MPM1D tutoring online?
Do you provide Grade 9 math homework help?
How Do I Get Started?
MPM1D Tutoring in Mississauga & Across Canada
MPM1D Tutoring in Mississauga & Across Canada
MPM1D Tutoring in Mississauga & Across Canada
Grade 9 Math; prerequisite for Principles of Mathematics Grade 10 course (MPM2D)
Grade 9 Math; prerequisite for Principles of Mathematics Grade 10 course (MPM2D)
Grade 9 Math; prerequisite for Principles of Mathematics Grade 10 course (MPM2D)
Start your high school with a strong math foundation that will set on a great trajactory for your future. Personalized One-on-One tutoring for the Ontario Grade 9 Academic Math (MPM1D) curriculum.
Start your high school with a strong math foundation that will set on a great trajactory for your future. Personalized One-on-One tutoring for the Ontario Grade 9 Academic Math (MPM1D) curriculum.
Start your high school with a strong math foundation that will set on a great trajactory for your future. Personalized One-on-One tutoring for the Ontario Grade 9 Academic Math (MPM1D) curriculum.
100% Money-Back Guarantee on your first session.
100% Money-Back Guarantee on your first session.
Reviews
Reviews
Contact us
Get in touch with our experts team
Courses:
✓ Grade 9 Math
✓ Grade 9 Science
✓ Grade 10 Math
✓ Grade 10 Science
✓ Grade 11 Functions
✓ Grade 11 Physics
✓ Grade 11 Chemistry
✓ Grade 12 Physics
✓ Grade 12 Advanced Functions
✓ Grade 12 Calculus & Vectors
✓ Grade 12 Chemistry
High School Courses
Support for Ontario high school students building the math and science foundation needed for future engineering programs.
Courses:
✓ Calculus 1
✓ Calculus 2
✓ Physics 1
✓ Physics 2
✓ Linear Algebra
✓ Intro to Programming
First-Year Engineering Courses
One-on-One private tutoring for core courses taken by every first years engineering student
Courses:
✓ Strength of Materials
✓ Fluid Mechanics
✓ Thermodynamics
✓ Probability & Statistics
✓ Heat Transfer
Advanced Engineering Courses
Course-specific tutoring for technical courses that require stronger applied problem-solving.
All Courses We Tutor
All Courses We Tutor
All Courses We Tutor
Fit Minds Academy provides personalized 1-on-1 tutoring for high school students pursuing engineering programs and university students tackling challenging engineering courses. Our support covers math, physics, chemistry, calculus, statics, dynamics, thermodynamics, fluid mechanics, strength of materials, and other core engineering subjects.
Coming Soon!
Comprehensive Grade 9 Math Course Review
Comprehensive Grade 9 Math Course Review
Review the major concepts taught throughout Ontario Grade 9 Mathematics in one organized resource. The course review will break challenging topics into smaller, understandable sections and provide examples that demonstrate how important mathematical methods are applied.
✓ Number sense & algebra
✓ Linear Relations
✓ Analytic Geometry
✓ Measurement & Gerometry
✓ Mathematical Problem-Solving
✓ Number sense & algebra
✓ Linear Relations
✓ Analytic Geometry
✓ Measurement & Gerometry
✓ Mathematical Problem-Solving
✓ Core Grade 9 math topics and foundational concepts
✓ Clear explanations supported by worked examples
✓ Common mistakes and strategies for avoiding them
✓ Important skills needed for Grade 10 mathematics
✓ Practice questions organized by course topic
✓ Core Grade 9 math topics and foundational concepts
✓ Clear explanations supported by worked examples
✓ Common mistakes and strategies for avoiding them
✓ Important skills needed for Grade 10 mathematics
✓ Practice questions organized by course topic
What the Course
Review Includes
What the Course
Review Includes
Grade 9 Math
Topics Covered
Grade 9 Math
Topics Covered
Coming Soon!
Coming Soon!
Coming Soon!
Grade 9 Math Practice
Final Exams
Grade 9 Math Practice
Final Exams
Prepare for tests and final assessments with realistic, course-aligned Grade 9 math practice exams. Each exam will include questions covering major MPM1D topics, along with a detailed solution guide explaining the calculations, reasoning, and problem-solving process.
Prepare for tests and final assessments with realistic, course-aligned Grade 9 math practice exams. Each exam will include questions covering major MPM1D topics, along with a detailed solution guide explaining the calculations, reasoning, and problem-solving process.
Students can use the practice exams to become familiar with different question formats, review challenging units, improve time management, and determine which concepts require additional preparation.
Students can use the practice exams to become familiar with different question formats, review challenging units, improve time management, and determine which concepts require additional preparation.
✓ Full-length Grade 9 math practice exams
✓ Course-aligned and exam-style questions
✓ Questions from all major MPM1D topics
✓ Detailed step-by-step solution guides
✓ Focused review of mistakes and weaker areas
✓ Full-length Grade 9 math practice exams
✓ Course-aligned and exam-style questions
✓ Questions from all major MPM1D topics
✓ Detailed step-by-step solution guides
✓ Focused review of mistakes and weaker areas
Coming Soon!
Identify a student’s current mathematical strengths, foundational learning gaps, and course-specific areas of difficulty. The Grade 9 math diagnostic assessment will evaluate understanding across major course topics and provide students with a clearer starting point for future review or tutoring.
Identify a student’s current mathematical strengths, foundational learning gaps, and course-specific areas of difficulty. The Grade 9 math diagnostic assessment will evaluate understanding across major course topics and provide students with a clearer starting point for future review or tutoring.
The results can help Fit Minds Academy create a more personalized learning plan focused on the concepts and problem types requiring the most attention.
The results can help Fit Minds Academy create a more personalized learning plan focused on the concepts and problem types requiring the most attention.
Grade 9 Math Diagnostic Assessment
Grade 9 Math Diagnostic Assessment
✓ Identify current Grade 9 math strengths
✓ Detect gaps in foundational math knowledge
✓ Recognize challenging topics and question types
✓ Determine which skills require further practice
✓ Receive recommended next steps for improvement
✓ Identify current Grade 9 math strengths
✓ Detect gaps in foundational math knowledge
✓ Recognize challenging topics and question types
✓ Determine which skills require further practice
✓ Receive recommended next steps for improvement
Coming Soon!
Flexible Hourly Tutoring
$65
Per Hour
Pay-As-You-Go Plan, Billed Biweekly
✓ Sessions from the comfort of your home
✓ Access to Fit Minds Discord server
✓ Personalised sessions to suit you
✓ We teach your course material
✓ Resources (course notes, practice tests, and videos)
10-hour Prepaid Plan
$600
Per 10 Hours
$60 per hour - Save $50
✓ Sessions from the comfort of your home
✓ Access to Fit Minds Discord server
✓ Personalised sessions to suit you
✓ We teach your course material
✓ Resources (course notes, practice tests, and videos)
Not Sure Which Option Is Right?
Speak with Fit Minds Academy and find the Grade 9 Math tutoring plan that best matches the student’s current course needs and academic goals.
Meet Our Tutors
Meet Our Tutors
Rami Alzaytavi
B.ENG. Software Engineer
Yacoob Kathrada
Bsc. Biomedical
Maya Al Khowjeh
B.Tech. Civil Engineering
Taha Arafat
Msc. Pharmacology
Jawad Qourshah
B.ENG. Mechanical Engineering
Manish Bahat
M.ENG. Mechanical Engineering
Oubada Al Tarabishi
M.ENG. Electrical Engineering
Ahmad Dawood
MSc. Computer Science
Rami Alzaytavi
B.ENG. Software Engineer
Yacoob Kathrada
Bsc. Biomedical
Maya Al Khowjeh
B.Tech. Civil Engineering
Taha Arafat
Msc. Pharmacology
Jawad Qourshah
B.ENG. Mechanical Engineering
Manish Bahat
M.ENG. Mechanical Engineering
Oubada Al Tarabishi
M.ENG. Electrical Engineering
Ahmad Dawood
MSc. Computer Science
Rami Alzaytavi
B.ENG. Software Engineer
Yacoob Kathrada
Bsc. Biomedical
Maya Al Khowjeh
B.Tech. Civil Engineering
Taha Arafat
Msc. Pharmacology
Jawad Qourshah
B.ENG. Mechanical Engineering
Manish Bahat
M.ENG. Mechanical Engineering
Oubada Al Tarabishi
M.ENG. Electrical Engineering
Ahmad Dawood
MSc. Computer Science
Rami Alzaytavi
B.ENG. Software Engineer
Yacoob Kathrada
Bsc. Biomedical
Maya Al Khowjeh
B.Tech. Civil Engineering
Taha Arafat
Msc. Pharmacology
Jawad Qourshah
B.ENG. Mechanical Engineering
Manish Bahat
M.ENG. Mechanical Engineering
Oubada Al Tarabishi
M.ENG. Electrical Engineering
Ahmad Dawood
MSc. Computer Science
Every student has different strengths, learning gaps, and academic goals. Each tutoring session is tailored to the student’s course, current level, pace, and areas requiring additional support. Lessons focus on the exact concepts and problem types the student needs to understand.
Every student has different strengths, learning gaps, and academic goals. Each tutoring session is tailored to the student’s course, current level, pace, and areas requiring additional support. Lessons focus on the exact concepts and problem types the student needs to understand.
Our high school tutoring follows the Ontario curriculum and supports the math and science prerequisites required for engineering, science, and technology programs. We also tutor first-year and upper-year university courses, including calculus, physics, linear algebra, programming, thermodynamics, fluid mechanics, and strength of materials.
Our high school tutoring follows the Ontario curriculum and supports the math and science prerequisites required for engineering, science, and technology programs. We also tutor first-year and upper-year university courses, including calculus, physics, linear algebra, programming, thermodynamics, fluid mechanics, and strength of materials.
Students are matched with tutors based on their course, academic level, subject requirements, learning needs, and availability. Many of our tutors are engineers or technical professionals who understand both the course material and its practical applications.
Students are matched with tutors based on their course, academic level, subject requirements, learning needs, and availability. Many of our tutors are engineers or technical professionals who understand both the course material and its practical applications.
Our tutoring goes beyond completing assignments or memorizing formulas. Students receive clear explanations, structured practice, and step-by-step problem-solving support designed to strengthen understanding and prepare them for quizzes, tests, exams, university courses, and future engineering studies.
Our tutoring goes beyond completing assignments or memorizing formulas. Students receive clear explanations, structured practice, and step-by-step problem-solving support designed to strengthen understanding and prepare them for quizzes, tests, exams, university courses, and future engineering studies.
Personalized 1-on-1 Tutoring
Personalized 1-on-1 Tutoring
More than Homework Help
More than Homework Help
Carefully Matched Tutors for Every Student
Carefully Matched Tutors for Every Student
Ontario Curriculum and Engineering-Focused Support
Ontario Curriculum and Engineering-Focused Support
Why Choose
Fit Minds Academy
Why Choose
Fit Minds Academy
Courses:
✓ Grade 9 Math
✓ Grade 9 Science
✓ Grade 10 Math
✓ Grade 10 Science
✓ Grade 11 Functions
✓ Grade 11 Physics
✓ Grade 11 Chemistry
✓ Grade 12 Physics
✓ Grade 12 Advanced Functions
✓ Grade 12 Calculus & Vectors
✓ Grade 12 Chemistry
High School Courses
Support for Ontario high school students building the math and science foundation needed for future engineering programs.
Courses:
✓ Calculus 1
✓ Calculus 2
✓ Physics 1
✓ Physics 2
✓ Linear Algebra
✓ Intro to Programming
First-Year Engineering Courses
One-on-One private tutoring for core courses taken by every first years engineering student
Courses:
✓ Strength of Materials
✓ Fluid Mechanics
✓ Thermodynamics
✓ Probability & Statistics
✓ Heat Transfer
Advanced Engineering Courses
Course-specific tutoring for technical courses that require stronger applied problem-solving.
UNIT
4
Measurement and Geometry
Know the right formula, label the shape, and use the theorem carefully.
1
3D Shape Formulas
Shape
Surface Area
Volume
Rectangular prism
2(lw + lh + wh)
lwh
Cylinder
2πr² + 2πrh
πr²h
Cone
πr² + πrl
⅓πr²h
Sphere
4πr²
⁴⁄₃πr³
2
Pythagorean Theorem
a² + b² = c²
★
c is the hypotenuse, the longest side, opposite the right angle.
Remember
Choose the correct shape formula first, then substitute values carefully and keep your units.
Properties of 2D shapes and 3D figures, calculating area, perimeter, and volume, as well as optimizing measurements.
Properties of 2D shapes and 3D figures, calculating area, perimeter, and volume, as well as optimizing measurements.
Fit Minds Academy provides personalized 1-on-1 tutoring for high school students pursuing engineering programs and university students tackling challenging engineering courses. Our support covers math, physics, chemistry, calculus, statics, dynamics, thermodynamics, fluid mechanics, strength of materials, and other core engineering subjects.
Comprehensive Grade 9 Math Course Review
Review the major concepts taught throughout Ontario Grade 9 Mathematics in one organized resource. The course review will break challenging topics into smaller, understandable sections and provide examples that demonstrate how important mathematical methods are applied.
✓ Number sense & algebra
✓ Linear Relations
✓ Analytic Geometry
✓ Measurement & Gerometry
✓ Mathematical Problem-Solving
✓ Core Grade 9 math topics and foundational concepts
✓ Clear explanations supported by worked examples
✓ Common mistakes and strategies for avoiding them
✓ Important skills needed for Grade 10 mathematics
✓ Practice questions organized by course topic
What the Course
Review Includes
Grade 9 Math
Topics Covered
Coming Soon!
Grade 9 Math Practice
Final Exams
Prepare for tests and final assessments with realistic, course-aligned Grade 9 math practice exams. Each exam will include questions covering major MPM1D topics, along with a detailed solution guide explaining the calculations, reasoning, and problem-solving process.
Students can use the practice exams to become familiar with different question formats, review challenging units, improve time management, and determine which concepts require additional preparation.
✓ Full-length Grade 9 math practice exams
✓ Course-aligned and exam-style questions
✓ Questions from all major MPM1D topics
✓ Detailed step-by-step solution guides
✓ Focused review of mistakes and weaker areas
Coming Soon!
Identify a student’s current mathematical strengths, foundational learning gaps, and course-specific areas of difficulty. The Grade 9 math diagnostic assessment will evaluate understanding across major course topics and provide students with a clearer starting point for future review or tutoring.
The results can help Fit Minds Academy create a more personalized learning plan focused on the concepts and problem types requiring the most attention.
Grade 9 Math Diagnostic Assessment
✓ Identify current Grade 9 math strengths
✓ Detect gaps in foundational math knowledge
✓ Recognize challenging topics and question types
✓ Determine which skills require further practice
✓ Receive recommended next steps for improvement
Coming Soon!
UNIT
4
Know the right formula, label the shape, and use the theorem carefully.
1
3D Shape Formulas
Shape
Surface Area
Volume
Rectangular prism
2(lw + lh + wh)
lwh
Cylinder
2πr² + 2πrh
πr²h
Cone
πr² + πrl
⅓πr²h
Sphere
4πr²
⁴⁄₃πr³
2
Pythagorean Theorem
a² + b² = c²
★
c is the hypotenuse, the longest side, opposite the right angle.
Remember
Choose the correct shape formula first, then substitute values carefully and keep your units.
Measurement and Geometry
Properties of 2D shapes and 3D figures, calculating area, perimeter, and volume, as well as optimizing measurements.
UNIT
3
Use coordinates, slope, and trends to describe lines and data.
2
Equation of a Line from Two Points
1 Find slope:
m = (y₂ − y₁) / (x₂ − x₁)
2 Substitute one point
into y = mx + b
3 Solve for b
4 Write the full equation
Example: points (2, 5) and (4, 9)
m = (9 − 5) / (4 − 2) = 2
Substitute (2, 5):
5 = 2(2) + b
5 = 4 + b
b = 1
Equation:
y = 2x + 1
1
Scatter Plots & Line of Best Fit
✓ A scatter plot shows the relationship between two data sets.
✓ A line of best fit goes through the middle of the points.
✓ It should have roughly equal numbers of points above and below.
✓ It helps identify trends and make predictions.
Key Idea
Find the slope first, then use a point to build the equation of the line.
Analytic Geometry
Graphing lines, understanding equations in the form (y = mx + b), and identifying parallel and perpendicular lines.
UNIT
2
Straight-line relationships connect variables in a predictable way.
1
Key Concepts
Rate of change:
how much y changes for every 1 unit increase in x
Slope:
rise over run, m = (y₂ − y₁) / (x₂ − x₁)
Y-intercept:
where the line crosses the y-axis, when x = 0
X-intercept:
where the line crosses the x-axis, when y = 0
2
Direct vs Partial Variation
Direct Variation
y = mx
Partial Variation
y = mx + b
✓
Passes through (0, 0)?
Yes = direct. No = partial.
3
Slope-Intercept Form
y = mx + b
m
= slope
b
= y-intercept
Example:
y = 2x + 3
m = 2, b = 3
★
This is the most used equation form in Grade 9 math.
Quick Graphing Steps
1
Plot (0, b)
→
2
Use slope
(rise/run)
→
3
Draw the line
Linear Relations
A linear relation is a relationship between two variables that produces a straight line when graphed. This unit connects directly to Grade 10 math and analytic geometry.
UNIT
1
Number Sense & Algebra
Master the algebra basics that make every later unit easier.
1
Collecting Like Terms
✓ Like terms have the same variable and exponent.
✓ Combine them by adding or subtracting coefficients.
3x and 7x → (3 + 7)x = 10x
5x² and −2x² → (5 − 2)x² = 3x²
4xy and −9xy → (4 − 9)xy = −5xy
WORKED EXAMPLE
5x + 3y − 2x + 7y
= (5x − 2x) + (3y + 7y)
= 3x + 10y
2
Expanding & Simplifying
✓ Expanding removes brackets using the distributive property.
a(b + c) = ab + ac
3(x + 4) = 3x + 12
−2(5x − 3) = −10x + 6
x(x + 7) = x² + 7x
WORKED EXAMPLE
3(2x + 5) − 4(x − 1)
= 6x + 15 − 4x + 4
= 2x + 19
Expand first, then collect like terms.
3
Solving Equations
✓ Golden rule: do the same thing to both sides.
2(x + 3) = 14
2x + 6 = 14
2x = 8
x = 4
5x + 3 = 3x + 11
2x = 8
x = 4
Order matters: expand, collect like terms, isolate.
Key
Key Takeaway
Only the coefficient changes when you collect like terms — the variable part stays the same.
Operations with fractions, integers, decimals, percents, and exponent laws. Simplifying expressions, solving linear equations, isolating variables, and solving word problems
Courses:
✓ Grade 9 Math
✓ Grade 9 Science
✓ Grade 10 Math
✓ Grade 10 Science
✓ Grade 11 Functions
✓ Grade 11 Physics
✓ Grade 11 Chemistry
✓ Grade 12 Physics
✓ Grade 12 Advanced Functions
✓ Grade 12 Calculus & Vectors
✓ Grade 12 Chemistry
High School Courses
Support for Ontario high school students building the math and science foundation needed for future engineering programs.
Courses:
✓ Calculus 1
✓ Calculus 2
✓ Physics 1
✓ Physics 2
✓ Linear Algebra
✓ Intro to Programming
First-Year Engineering Courses
One-on-One private tutoring for core courses taken by every first years engineering student
Courses:
✓ Strength of Materials
✓ Fluid Mechanics
✓ Thermodynamics
✓ Probability & Statistics
✓ Heat Transfer
Advanced Engineering Courses
Course-specific tutoring for technical courses that require stronger applied problem-solving.
Meet Our Tutors
Rami Alzaytavi
B.ENG. Software Engineer
Yacoob Kathrada
Bsc. Biomedical
Maya Al Khowjeh
B.Tech. Civil Engineering
Taha Arafat
Msc. Pharmacology
Jawad Qourshah
B.ENG. Mechanical Engineering
Manish Bahat
M.ENG. Mechanical Engineering
Oubada Al Tarabishi
M.ENG. Electrical Engineering
Ahmad Dawood
MSc. Computer Science
Rami Alzaytavi
B.ENG. Software Engineer
Yacoob Kathrada
Bsc. Biomedical
Maya Al Khowjeh
B.Tech. Civil Engineering
Taha Arafat
Msc. Pharmacology
Jawad Qourshah
B.ENG. Mechanical Engineering
Manish Bahat
M.ENG. Mechanical Engineering
Oubada Al Tarabishi
M.ENG. Electrical Engineering
Ahmad Dawood
MSc. Computer Science
Rami Alzaytavi
B.ENG. Software Engineer
Yacoob Kathrada
Bsc. Biomedical
Maya Al Khowjeh
B.Tech. Civil Engineering
Taha Arafat
Msc. Pharmacology
Jawad Qourshah
B.ENG. Mechanical Engineering
Manish Bahat
M.ENG. Mechanical Engineering
Oubada Al Tarabishi
M.ENG. Electrical Engineering
Ahmad Dawood
MSc. Computer Science
Rami Alzaytavi
B.ENG. Software Engineer
Yacoob Kathrada
Bsc. Biomedical
Maya Al Khowjeh
B.Tech. Civil Engineering
Taha Arafat
Msc. Pharmacology
Jawad Qourshah
B.ENG. Mechanical Engineering
Manish Bahat
M.ENG. Mechanical Engineering
Oubada Al Tarabishi
M.ENG. Electrical Engineering
Ahmad Dawood
MSc. Computer Science
Reviews
10-hour Prepaid Plan
$600
Per 10 Hours
$60 per hour - Save $50
✓ Sessions from the comfort of your home
✓ Access to Fit Minds Discord server
✓ Personalised sessions to suit you
✓ We teach your course material
✓ Resources (course notes, practice tests, and videos)
Flexible Hourly Tutoring
$65
Per Hour
Pay-As-You-Go Plan, Billed Biweekly
✓ Sessions from the comfort of your home
✓ Access to Fit Minds Discord server
✓ Personalised sessions to suit you
✓ We teach your course material
✓ Resources (course notes, practice tests, and videos)
Not Sure Which Option Is Right?
Speak with Fit Minds Academy and find the Grade 9 Math tutoring plan that best matches the student’s current course needs and academic goals.
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Why Choose
Fit Minds Academy
Personalized 1-on-1 Tutoring
Every student has different strengths, learning gaps, and academic goals. Each tutoring session is tailored to the student’s course, current level, pace, and areas requiring additional support. Lessons focus on the exact concepts and problem types the student needs to understand.
Carefully Matched Tutors for Every Student
Students are matched with tutors based on their course, academic level, subject requirements, learning needs, and availability. Many of our tutors are engineers or technical professionals who understand both the course material and its practical applications.
Ontario Curriculum and Engineering-Focused Support
Our high school tutoring follows the Ontario curriculum and supports the math and science prerequisites required for engineering, science, and technology programs. We also tutor first-year and upper-year university courses, including calculus, physics, linear algebra, programming, thermodynamics, fluid mechanics, and strength of materials.
More than Homework Help
Our tutoring goes beyond completing assignments or memorizing formulas. Students receive clear explanations, structured practice, and step-by-step problem-solving support designed to strengthen understanding and prepare them for quizzes, tests, exams, university courses, and future engineering studies.
Flexible Hourly Tutoring
$65
Per Hour
Pay-As-You-Go Plan, Billed Biweekly
✓ Sessions from the comfort of your home
✓ Access to Fit Minds Discord server
✓ Personalised sessions to suit you
✓ We teach your course material
✓ Resources (course notes, practice tests, and videos)
10-hour Prepaid Plan
$600
Per 10 Hours
$60 per hour - Save $50
✓ Sessions from the comfort of your home
✓ Access to Fit Minds Discord server
✓ Personalised sessions to suit you
✓ We teach your course material
✓ Resources (course notes, practice tests, and videos)
Not Sure Which Option Is Right?
Speak with Fit Minds Academy and find the Grade 9 Math tutoring plan that best matches the student’s current course needs and academic goals.