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Montreal, French AEFE curriculum, college

Quatrieme Tutor in Montreal

Tutor for Quatrieme in Montreal, for students in the French AEFE curriculum. I work with your child in mathematics, physics-chemistry and SVT, in a pivotal year marked by the Pythagorean theorem, algebra, and the arrival of atoms, molecules and electricity. Sessions in English or in French.

French AEFE curriculum Grade 8 equivalent Mathematics Physics-Chemistry SVT ★ 5.0 · 11 Google reviews
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Quatrieme is Grade 8

Quatrieme is the third year of French middle school, for children turning 13 or 14. It matches Grade 8 and Quebec Secondary 3. One year remains before Troisieme and the Brevet, the national examination at the end of middle school. If there is a single year in which to fix accumulated gaps before the stakes rise, this is it.

Quatrieme: the pivotal year of college

Teachers and parents notice the same thing: Quatrieme is the year college genuinely changes gear. Abstraction reaches a new level. In mathematics, algebra is no longer limited to simple expressions; students expand, simplify and solve equations. The Pythagorean theorem and powers appear. In physics-chemistry, they enter the invisible world of atoms and molecules, and discover the laws of electricity.

It is also the year in which whatever was left half-finished in Cinquieme comes fully into view. A student who never quite digested negative numbers or algebra finds themselves in trouble quickly, because those ideas are now everyday tools rather than topics. The good news is that these gaps are still easy to close at this stage, provided nobody waits.

My work in Quatrieme has two aims at once: keeping up with the class and closing the accumulated gaps, so that Troisieme and the Brevet start on sound foundations.

Mathematics in Quatrieme

The Quatrieme mathematics syllabus is dense. Algebra expands with distributivity and the first factorisations, first degree equations become a tool for solving problems, and powers introduce a new way of writing numbers. The Pythagorean theorem is probably the year's great geometric arrival. All of it demands rigour and regular practice rather than last-minute cramming.

On the syllabus

  • Algebra: expanding and simplifying
  • First degree equations
  • Powers and scientific notation
  • The Pythagorean theorem
  • Proportionality: speed, flow rate, percentages
  • Translations and geometry
  • Probability and statistics
  • Problem solving

On algebra and Pythagoras, we practise across varied situations until the student can recognise unaided which method a question calls for. That independence is what pays on the day of the test.

Physics-chemistry in Quatrieme

Physics-chemistry in Quatrieme introduces abstract but genuinely interesting ideas: matter is made of atoms and molecules, and chemical transformations rearrange those particles. In physics, students meet the laws of electricity, current, voltage, and circuits in series and in parallel. Reading a circuit diagram and reasoning about a circuit are new skills that have to be built rather than assumed.

On the syllabus

  • Atoms, molecules and chemical transformations
  • Laws of electricity: current, voltage
  • Series and parallel circuits
  • Motion and speed
  • Energy and its conversions
  • Light and colour

SVT in Quatrieme

In SVT, Quatrieme covers reproduction, the first ideas of genetics, and the dynamics of the Earth, including natural hazards such as earthquakes and volcanoes. The subject leans heavily on document analysis and on constructing an argument. Extracting the useful information and writing a reasoned answer is very often what separates an adequate mark from a good one.

On the syllabus

  • Reproduction and first ideas of genetics
  • The Earth, its dynamics and natural hazards
  • Geology and natural phenomena
  • Living things and their environment
  • Analysis of scientific documents
  • Writing up an argument

Where students struggle in Quatrieme

The main difficulty is the jump in abstraction. Algebra that keeps growing, a Pythagorean theorem that has to be applied in varied contexts, atoms that cannot be seen: all of it asks for reasoning rather than memory. Students used to learning by heart can feel overwhelmed, when what they are actually missing is a method for reasoning.

The other difficulty is cumulative. In Quatrieme, ideas rest on one another: a shaky foundation in algebra makes equations fail, and failing equations make problems fail. So we treat the cause and not only the symptom, putting the foundations back in order so that everything downstream follows.

How the sessions work in Quatrieme

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Diagnosing the gaps

We identify what is genuinely blocking, usually in algebra or negative numbers, and rebuild the necessary foundations without spending time on what is already solid.

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Keeping up and catching up at the same time

We work on the current material while closing the gaps, so the student does not drop out of the class rhythm while repairing the past.

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Reasoning, not reciting

On Pythagoras, algebra or electricity, I work on the ability to choose the right method when facing a question they have not seen before. That is what actually counts in Quatrieme.

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Support between sessions, included

A question before a test, an exercise they are stuck on: the student can message me between sessions, at no extra charge.

In French

Free corrected exercises for Quatrieme

One exercise set per chapter, in the format of a class test: ten questions marked out of 100, a first part on the fundamentals and a part of problems, with a full worked solution for every question. Algebra, equations, powers, Pythagoras, proportionality and geometry are covered, along with the physics-chemistry chapters on atoms, density and pressure, Ohm's law, motion and sound. Each chapter also has a revision sheet. Free, no sign-up, written in French.

Corrected exercise sets → Revision sheets → English exercises →

In Montreal, in person or online

I work with Quatrieme students from Lycee Marie de France, College Stanislas and other Montreal schools following the French curriculum, in person and online through Microsoft Teams and OneNote. I went through the French system myself, hold a B.Sc. from McGill and an M.Sc. from Concordia, and have more than 10 years of experience with this syllabus. One person for mathematics, physics-chemistry and SVT, which matters in a year where the three subjects lean on the same algebra.

Frequently asked questions

What grade is Quatrieme?

The third year of college, French middle school, for students turning 13 or 14. It matches Grade 8 and Quebec Secondary 3. One year remains before Troisieme and the Brevet examination.

What subjects do you cover in Quatrieme?

Mathematics, physics-chemistry and SVT. Quatrieme is a pivotal year with a real step up in abstraction: algebra, the Pythagorean theorem, atoms and molecules, and the laws of electricity.

Why is Quatrieme often a hard year?

Because of the jump in abstraction, and because whatever was left unfinished in Cinquieme surfaces here. Algebra and negative numbers are now daily tools rather than topics. Targeted support rebuilds the foundations without falling behind the class.

My child has accumulated gaps, can they still be closed?

Yes. We pinpoint exactly what is missing, usually in algebra and negative numbers, then rebuild alongside the current syllabus. Quatrieme is still a good moment to do this, before the Brevet stakes of Troisieme.

The Pythagorean theorem is a problem, how do you approach it?

In two stages: understanding what it says and when it applies, then using it across varied problems, both to find a length and to check whether an angle is right. We practise on different situations until the reflex is automatic.

← Cinquieme, Grade 7 Troisieme, Grade 9 and the Brevet →

See also

French AEFE program Mathematics Physics Chemistry SVT and biology Brevet preparation

Looking for a Quatrieme tutor in Montreal?

Get in touch for a first session. I adapt to your child's level, syllabus and pace, and I report back to you in English.

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