Ontario Grade 12 - University preparation

MHF4U Advanced Functions tutoring

MHF4U is the Grade 12 course most Ontario university programs in science, engineering, business and health ask for, and the gateway to Calculus and Vectors. It moves fast through four families of functions. Our tutors follow your child's school units and fix gaps before each unit test.

Book a free demo →✓ 2 free classes · no card · no commitment

One-to-one from CA$30 a class · billed in USD

Ontario, Canada - online 1-to-1

What every programme includes

✓ Exponential and logarithmic functions and equations
✓ Trigonometric functions in radians, identities and equations
✓ Polynomial and rational functions, inequalities and graphs
✓ Characteristics of functions: rates of change, combining functions
✓ Unit-test and final exam practice with full solutions
✓ Gaps from MCR3U Functions repaired first

Lesson times in your time zone

Weekdays 3pm-9pm after school · Weekends 8am-8pm, your local time. Pick the slot when you book.

What MHF4U covers

The Ontario curriculum sets four strands: Exponential and Logarithmic Functions, Trigonometric Functions, Polynomial and Rational Functions, and Characteristics of Functions. The prerequisite is Grade 11 Functions (MCR3U).

Most marks are lost on algebra rather than ideas: solving logarithmic equations, proving trigonometric identities, and factoring higher-degree polynomials. Those are the skills sessions drill until they are automatic.

How the course is marked

In every Ontario Grade 12 course, 70% of the final mark comes from evaluations through the semester and 30% from a final evaluation, which can be an exam, a culminating task or both. Universities see the final percentage, so steady unit-test marks matter as much as the exam.

Where students struggle

The same topics come up in most first sessions:

✓ Laws of logarithms and changing base
✓ Radian measure and the unit circle without a calculator
✓ Trigonometric identities: knowing which identity to try first
✓ Polynomial and rational inequalities with sign charts
✓ Rates of change from tables, graphs and equations

MHF4U at a glance

	Details
Course	Advanced Functions, Grade 12, University Preparation
Prerequisite	Functions, Grade 11, University Preparation (MCR3U)
Strands	Exponential and logarithmic; trigonometric; polynomial and rational; characteristics of functions
Leads to	Calculus and Vectors (MCV4U), taken after or alongside MHF4U
Final mark	70% term work, 30% final evaluation

A semester with MHF4U

1
Weeks 1-2
Check MCR3U skills: factoring, function notation, transformations.
2
Each unit
Weekly practice on the current unit and a mock unit test before the real one.
3
Mid-semester
Review marks with the student and target the weakest strand.
4
Final 3 weeks
Mixed past-style exam questions under time, then error review.