MTH1WGrade 9
Mathematics
The de-streamed Grade 9 course — number sense, algebraic thinking, and a first taste of data and coding.
- linear relations
- solving equations
- geometry
- data & coding
01Curriculum
The subjects
we tutor.
Ontario curriculum from Grade 9 through Grade 12, plus first- and second-year undergraduate math. Click a subject to jump to it.
High-school mathematics.
Grade 9 through 12 — every stream, from de-streamed Grade 9 to Calculus & Vectors.
MPM2DGrade 10 · D
Principles of Mathematics
Academic Grade 10 — quadratic relations, analytic geometry, and the trigonometry of triangles.
- quadratics
- analytic geometry
- right-triangle trig
- similar triangles
MFM2PGrade 10 · P
Foundations of Mathematics
Applied Grade 10 — measurement, proportional reasoning, and linear & quadratic relations through real models.
- measurement
- proportions
- linear relations
- quadratics
MCR3UGrade 11 · U
Functions
The gateway to MHF4U / MCV4U — function notation, transformations, rationals, exponentials, and trigonometry.
- function notation
- transformations
- rationals
- exponentials
- trig
MCF3MGrade 11 · M
Functions & Applications
Mixed-track Grade 11 — quadratic, exponential, and trig functions through real-world models, plus financial math.
- quadratics
- exponentials
- trig models
- financial math
MBF3CGrade 11 · C
Foundations for College Math
College-track Grade 11 — trigonometry, quadratics, exponentials, and personal finance for applied programs.
- trigonometry
- quadratics
- exponentials
- personal finance
MHF4UGrade 12 · U
Advanced Functions
Polynomial, rational, logarithmic and trigonometric functions, plus average and instantaneous rates of change.
- polynomials
- log & exponential
- trig functions
- rates of change
MCV4UGrade 12 · U
Calculus & Vectors
Limits, derivatives and curve sketching alongside vectors, lines and planes in 3-D.
- limits
- derivatives
- curve sketching
- vectors
- planes
MDM4UGrade 12 · U
Mathematics of Data Management
Counting, probability, distributions and statistics — capped by the culminating data-management project.
- probability
- distributions
- statistics
- the project
MAP4CGrade 12 · C
Foundations for College Math
College-track Grade 12 — trigonometry, statistics, and the financial mathematics applied programs expect.
- trigonometry
- statistics
- finance
- applications
High-school sciences.
Grade 9 through 12 — biology, chemistry, physics, and earth & space, academic and applied.
SNC1WGrade 9
Science
The de-streamed Grade 9 course spanning biology, chemistry, physics, and earth & space science.
- biology
- chemistry
- physics
- earth & space
SNC2DGrade 10 · D
Science
Academic Grade 10 — cells & systems, chemical reactions, optics, and climate change.
- cells & systems
- reactions
- optics
- climate
SNC2PGrade 10 · P
Science
Applied Grade 10 — the same four strands (biology, chemistry, physics, earth science) through hands-on contexts.
- biology
- chemistry
- light
- earth science
SBI3UGrade 11 · U
Biology
Diversity of living things, evolution, genetic processes, and the anatomy of plants and animals.
- diversity of life
- evolution
- genetics
- plants & animals
SCH3UGrade 11 · U
Chemistry
Matter and bonding, the mole and quantities, chemical reactions, solutions, and gases.
- matter & bonding
- the mole
- reactions
- solutions
- gases
SPH3UGrade 11 · U
Physics
Kinematics, forces, energy and work, waves and sound, and electricity & magnetism.
- kinematics
- forces
- energy
- waves & sound
- electricity
SVN3MGrade 11 · M
Environmental Science
Ecosystems, human impact, sustainability, and managing natural resources.
- ecosystems
- human impact
- sustainability
- resources
SBI4UGrade 12 · U
Biology
Biochemistry, metabolism, molecular genetics, homeostasis, and population dynamics.
- biochemistry
- metabolism
- molecular genetics
- homeostasis
SCH4UGrade 12 · U
Chemistry
Structure & properties, energetics, kinetics, chemical equilibrium, and electrochemistry.
- structure
- energetics
- kinetics
- equilibrium
- electrochem
SPH4UGrade 12 · U
Physics
Dynamics, energy & momentum, gravitational/electric/magnetic fields, waves & light, and modern physics.
- dynamics
- momentum
- fields
- waves & light
- modern physics
SES4UGrade 12 · U
Earth & Space Science
Astronomy, planetary geology, the atmosphere, and the recorded history of the Earth.
- astronomy
- geology
- the atmosphere
- Earth's history
Undergraduate mathematics.
First- and second-year courses, mapped to the most common UofT / Waterloo / McMaster syllabi.
Calculus 1Undergrad · Y1
Calculus I
Limits done rigorously, continuity, derivatives and their applications, the mean-value theorem, and a careful treatment of the definite integral via Riemann sums.
- ε–δ limits
- derivatives
- MVT
- Riemann integrals
- FTC
Calculus 2Undergrad · Y1
Calculus II
Integration techniques, applications, improper integrals, sequences and series (including convergence tests and Taylor series), and an introduction to differential equations.
- integration by parts
- partial fractions
- series convergence
- Taylor
Calculus 3Undergrad · Y2
Calculus III — multivariable
Functions of several variables, partial derivatives, multiple integrals, vector fields, and the three big theorems: Green, Stokes, and the divergence theorem.
- partial derivatives
- double / triple integrals
- line & surface integrals
- Green & Stokes
Differential EquationsUndergrad · Y2
Differential equations
First-order ODEs, second-order linear ODEs with constant coefficients, Laplace transforms, systems of ODEs, and an honest pass at modelling problems from physics and biology.
- 1st-order ODEs
- 2nd-order linear
- Laplace transforms
- systems
- phase planes
Linear Algebra 1Undergrad · Y1
Linear Algebra I
Systems of equations, matrices, determinants, vector spaces, linear maps, eigenvalues and eigenvectors. The first course where math starts to feel more like a language than a set of tricks.
- row reduction
- determinants
- vector spaces
- linear maps
- eigenvalues
Don’t see your course?
If you’re working on something adjacent — IB HL math, AP Calculus BC, a competition prep, or a first-year course not listed above — get in touch. The roster is small but the syllabus is flexible.
Get in touch