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Grade 12 · Mathematics

MHF4U tutoring — Grade 12 Advanced Functions

MHF4U Advanced Functions tutoring in Oakville. The course that breaks more strong Grade 12 students than any other — we teach polynomial, rational, logarithmic and trigonometric functions as one connected system.

Grade 12 student working on advanced functions with a certified educator

What the course covers

MHF4U unit by unit.

Straight from the Ontario course outline — the units your child will be assessed on.

Polynomial functions: end behaviour, factor theorem, inequalities

Rational functions, asymptotes and discontinuities

Exponential and logarithmic functions and laws

Trigonometric functions, radian measure and identities

Rates of change: average and instantaneous

Combining and composing functions

Where marks are lost

Why students struggle in MHF4U.

  • Polynomial and rational inequalities require sign analysis most students were never explicitly taught
  • Logarithm laws are applied mechanically and break on multi-step equations
  • Radian measure is treated as a unit conversion instead of a new way of reading the circle
  • Rates of change arrives late in the semester, under exam pressure, and is the direct bridge into MCV4U

How we teach it

Our approach.

  • Establish sign analysis and interval notation properly in the first two sessions
  • Connect every function family back to transformations learned in MCR3U
  • Teach rates of change as the conceptual start of calculus, not a final-unit afterthought
  • Weekly cumulative retrieval so the January exam is revision, not relearning

Why it matters

What this course decides.

MHF4U appears in the admission average for almost every university science, engineering, mathematics and commerce programme in Ontario.

Built in, not sold separately

Study skills every session.

Every MHF4U session uses retrieval practice on earlier units, spaced review, interleaved problem sets and timed exam simulation before assessments. Study skills are part of the programme, never a separate add-on.

See our method

FAQ

MHF4U questions

Book a MHF4U diagnostic.

Forty-five minutes with a Lead Instructor tells you exactly which units are costing marks — and what the plan is.