Mathematics — 1st Year, Sciences (Mathematics-Physics track)

The complete Mathematics — 1st Year, Sciences (Mathematics-Physics track) curriculum, on Akaguriro Academy: the official Burundian syllabus, covered in full, term by term, like a real school year.

Mathematics A1 — the whole syllabus, no gaps

In the 1st year post-fondamental, Sciences section, the syllabus builds the foundations for every scientific subject that follows: sets and algebraic structures, logic, equations, vectors, analytic geometry, trigonometry and descriptive statistics. This course covers the entire syllabus, with illustrated lessons, a 15-question quiz for every week, and graded term assignments to track real progress.

🎯 Course goals

• Master the entire Mathematics A1 Sciences syllabus as taught in Burundi.
• Build solid foundations (numbers, polynomials, structures, logic) before tackling the 2nd and 3rd degree.
• Practice with a graded quiz on every chapter.
• Track your own progress objectively through graded term assignments.

📚 Detailed syllabus — 24 chapters, quizzes and assignments, over 3 terms

Term 1

1. Number sets and polynomials
2. Factorisation and rational fractions
3. Algebraic structures (groups, rings, fields, vector spaces)
4. Absolute value, powers and radicals
5. Decimal logarithms
6. Logarithm tables and exponential/logarithmic equations
7. Elements of logic
8. First-degree equations
9. Linear systems and inequalities

Term 2

1. Second-degree equations
2. Graphing the parabola
3. Equations reducible to the second degree
4. Second-degree inequalities
5. Vector spaces of the plane
6. The affine plane, lines and section ratio
7. Euclidean vector plane and dot product
8. Circle, lines, triangle and change of coordinate system

Term 3

1. Trigonometric circle and trigonometric numbers
2. Associated angles and trigonometric formulas
3. Solving triangles
4. Trigonometric equations and inequations
5. Descriptive statistics — definitions and classes
6. Distribution diagrams (histograms, pie charts)
7. Central tendency and dispersion (mean, median, variance, standard deviation)

Every chapter includes its lesson, a 15-question quiz, and at the end of each term, two graded real-world assignments (shipwreck oil-spill calculations, logic puzzles, a balance-scale problem, electricity demand modelling, a tree height problem, exam-score statistics...).

🧭 Learning format

• 📖 Illustrated lessons, organized exactly like the real school year, each opening with a "why does this matter" section connecting the math to everyday life and other sciences.
• ✅ A 15-question quiz for every chapter, and graded term assignments with detailed marking guides.
• 💬 Forum, chat and private messaging to ask a question anytime, without waiting for the next class.
• ♾️ Unlimited access over time after purchase — review one specific chapter the night before a test, or go through the whole year again from the start.