What is SN mathematics in Secondary 4 in Quebec?

The Sciences naturelles (SN) sequence in Secondary 4 is the most demanding of the three mathematics sequences of the Quebec curriculum. Secondary 4 is the year the sequence is chosen, and that choice governs access to the Sciences de la nature program at CEGEP. The course covers factoring, quadratic equations and inequalities, systems of equations, similar triangles, metric relations, trigonometry and two-variable statistics. It ends with a Ministry examination in June.

How much does the Secondary 4 Ministry mathematics exam count for?

The epreuve unique in Secondary 4 mathematics counts for 50 percent of the student's final result, the other half coming from the school's own grade. A student on 80 percent through the year who scores 60 percent on the exam finishes at 70 percent. That weighting is why targeted preparation in the weeks before the exam genuinely changes the outcome.

Montreal, Quebec curriculum, Secondary 4

SN4 Math Tutor in Montreal

Q: Which sequence should a student choose in Secondary 4: SN, TS or CST?

SN is required for the Sciences de la nature program at CEGEP and for most university programs in science, engineering and health. TS leads to technical programs and also gives access to Sciences de la nature at several CEGEPs. CST suits students not heading into those fields. The choice is made at the end of Secondary 3 and is hard to change afterwards, so it deserves a serious conversation.

Q: Which topics are hardest in SN4?

Three blocks cause trouble every year. Factoring first, because everything else depends on it and any gap from Secondary 3 shows up immediately. Then proofs of similarity and congruence, because it is the first time the student has to justify by naming a case rather than compute. And finally the contextualised problems of section C of the exam, where the student has to model a situation before any technique can be applied.

Tutor in Sciences naturelles (SN) mathematics for Secondary 4 in Montreal, with more than 10 years of experience. Secondary 4 is the pivotal year of the Quebec curriculum: the year the sequence is chosen, the year algebra becomes genuinely abstract, and the year of a Ministry examination worth half the final grade. I cover the SN and TS sequences across the whole syllabus, from closing gaps to preparing the June paper. Sessions in English or in French.

SN sequence, Secondary 4 Ministry examination Factoring & systems Trigonometry & similarity Choosing the sequence ★ 5.0 · 11 Google reviews

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The one thing to understand about Secondary 4

This is the year with the province-wide exam, and it is Secondary 4, not Secondary 5. Most families assume the big exam comes at the end of high school. It does not. The epreuve unique in mathematics is written in June of Secondary 4, and it is worth 50 percent of the year's final grade on its own.

The arithmetic is unforgiving: a student sitting at 80 percent all year who scores 60 on the exam ends the year at 70. There is no coursework buffer, no retake before the mark is reported, and that mark follows them into CEGEP admission files.

SN mathematics in Secondary 4: what to know

The Sciences naturelles sequence is the most demanding of the three mathematics sequences offered from Secondary 4. It is for students aiming at the Sciences de la nature program at CEGEP and, later, at studies in science, engineering, health or architecture.

The jump in difficulty between Secondary 3 and Secondary 4 is the sharpest of the whole secondary curriculum. Until now, algebra stayed mechanical: isolate a variable, apply a formula. In SN4 the student has to factor before solving, recognise which method fits which system, justify a similarity by naming a case rather than by measuring, and judge whether a statistical model holds up. Many students who had never needed help meet their first real difficulty here.

The other feature of the year is administrative but heavy in consequence: a Ministry examination, identical for every student in the province, worth half the final result. A good year does not compensate for a poor exam, and the reverse is equally true.

The SN4 syllabus

Algebra

Manipulating algebraic expressions
Factoring: common factor, identities, trinomials
Rational expressions and restricted values
Quadratic equations and inequalities
Completing the square and the quadratic formula

Systems and functions

Systems of equations: comparison, substitution, elimination
Relative position of two lines
Semi-linear systems (line and parabola)
The role of parameters and properties of functions
The quadratic function and the step function

Geometry

Congruence and similarity of triangles
The SSS, SAS, ASA and AA cases
Equivalent figures and solids
Ratio of similarity: lengths, areas, volumes
Optimisation: minimum perimeter and area

Trigonometry and statistics

Metric relations in the right triangle
Sine, cosine, tangent and angles of elevation
Sine law, cosine law, area of a triangle
Scatter plots and the correlation coefficient
Regression line, interpolation and extrapolation

The exact coverage varies slightly from school to school. We adjust to the course plan and textbook your child's teacher is using.

In French

Free corrected exercises for SN4

One exercise set per chapter of the Secondary 4 SN syllabus, in the format of an evaluation: 10 questions marked out of 100, a first part on the fundamentals and a second at exam level, with a full worked solution for every question. Factoring, equations and inequalities, systems, metric relations, similarity, equivalent solids and two-variable statistics are all covered. Two complete mock exams reproduce the real structure of the Ministry paper, in sections A, B and C. Free, no sign-up, written in French.

Corrected exercise sets → Revision sheets → English exercises →

Choosing the sequence: SN, TS or CST

The choice is made at the end of Secondary 3, taking effect in Secondary 4. It is hard to change afterwards, and it decides which doors stay open at CEGEP. It is the heaviest academic decision of the whole secondary curriculum, and it is made at fourteen.

Sciences naturelles (SN)

The most abstract and most demanding, oriented toward proof and modelling. It is the normal route into the Sciences de la nature program at CEGEP, then into pure science, engineering, medicine and architecture. Worth choosing whenever there is doubt about future direction: it is far easier to step down a sequence than to climb back up.

Technico-sciences (TS)

Covers material close to SN but with a more applied and technological approach, more experimentation and instrument work. It leads to CEGEP technical programs and also gives access to Sciences de la nature at several institutions. A good fit for a student who is strong at mathematics but more comfortable with the concrete than the abstract.

Culture, societe et technique (CST)

The base sequence, centred on everyday applications, statistics and reading data. It suits students not heading into science or engineering. It does close direct access to Sciences de la nature, which would mean taking bridging courses at CEGEP to change track. See the CST 4 math page.

I cover the SN and TS sequences, and also support CST students with homework help. If your child is still hesitating, or chose SN and is struggling by the autumn, a few sessions are usually enough to tell whether the problem is method or a genuine mismatch of sequence.

The Secondary 4 Ministry examination

Quebec's Ministere de l'Education produces a separate paper for each of the three sequences, administered in June to every student in the province. For Secondary 4 mathematics it counts for 50 percent of the final result, the other half coming from the school's grade. A student at 80 percent through the year who scores 60 on the paper finishes at 70.

The paper has three sections. Sections A and B assess command of concepts and procedures: relatively direct questions, where conventional preparation works well. Section C is what actually separates students. It contains application situations where they must model a context, choose the mathematical tools themselves, carry the reasoning through and write it up so it can be followed. A correct answer poorly explained does not earn full marks there.

Section C is precisely where most students lose their points, and also the part least practised in class for lack of time. A student can command factoring and systems perfectly well and still freeze in front of a three paragraph problem because they do not know where to start.

Effective preparation starts six to eight weeks before the paper. We audit the shaky topics, work complete past papers under real conditions, and train specifically on reading contextualised problems and writing up solutions.

From SN4 to SN5: why gaps get paid for twice

The Secondary 5 syllabus rests entirely on Secondary 4, with no gentle transition. The quadratic function of SN4 becomes one of the seven families of functions studied in SN5. Factoring, a chapter in its own right this year, becomes a tool assumed known and used without re-explanation. Systems of equations return as linear programming and optimisation.

Concretely, a student who finishes SN4 with approximate factoring will not notice immediately: they will pass the year. They meet the wall in Secondary 5, when factoring is needed to find a domain, solve a rational inequality or simplify a logarithmic expression. And there they are penalised twice over, because the SN5 grade is exactly the one CEGEPs read for admission to Sciences de la nature.

That is why I would rather work the foundations early than intervene in an emergency a year later. A student supported from the autumn of SN4 enters SN5 with no technical debt, and the work becomes much lighter.

See the SN5 math page →

How the sessions work in SN4

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We start with factoring, always

It is the chapter everything else depends on, and where Secondary 3 gaps surface. A few sessions on this block alone often unblocks the rest of the year.

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Regular follow-up at the pace of the class

We work on what is being taught so no backlog builds, with problems targeted at this student's weak points rather than generic sets.

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Training the write-up of proofs

Similarity and congruence are the first chapters where the student must justify rather than calculate. We learn to name the case used and verify its three conditions, which is exactly what the marker looks for.

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Targeted preparation for the June paper

In the weeks before, we work complete past papers under real conditions, with specific attention to the section C application situations and to time management.

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Support between sessions, included

The student can message me between sessions with any question: a problem they are stuck on the night before a test, a concept to check. It is part of the rate.

Frequently asked questions

What is SN mathematics in Secondary 4?

The most demanding of the three sequences of the Quebec curriculum. Secondary 4 is the year the sequence is chosen, and that choice governs access to Sciences de la nature at CEGEP. It covers factoring, quadratic equations and inequalities, systems, similarity of triangles, metric relations, trigonometry and two-variable statistics, and ends with a Ministry examination in June.

How much does the Ministry exam count for?

50 percent of the final result, the other half coming from the school's grade. A student at 80 percent through the year who scores 60 on the exam finishes at 70. That weighting is why targeted preparation in the weeks before genuinely changes the outcome.

Which sequence should my child choose?

SN is required for Sciences de la nature at CEGEP and for most university programs in science, engineering and health. TS leads to technical programs and also gives access to Sciences de la nature at several CEGEPs. CST suits students not heading into those fields. The choice is made at the end of Secondary 3 and is hard to change afterwards.

Which topics are hardest in SN4?

Factoring, because everything depends on it and Secondary 3 gaps surface immediately. Proofs of similarity and congruence, because it is the first time justification replaces calculation. And the contextualised problems of section C, where the student must model a situation before applying anything.