- Principles guiding the course
- Numbers and notations (1): small stones and Roman numbers
- Numbers and notations (2): Arabic numbers
- Numbers and representations: notches on a line
- Addition
- Subtraction
- Numbers and representations (2): rectangles of stones and tiling
- Multiplication
- Division
- How to do a division
- Numbers and representations (3): parts of intervalles
- Fractions: general notation, simplification, additions and subtractions
- Fractions: a more abstract approach, multiplication and division
- "Euclidian division": division algorithm
- Fractions and decimal notation
- Prime numbers
- Percentages
- Ratios
- Example of calculation
- Transforming a problem into a calculation
- History
- Geometry in the plane
- Lengths and perimeters
- Surfaces and areas
- Angles and triangles
- Symmetries
- Constructions using symmetry
- Triangles and quadrilaterals
- Geometry in the space
- Cuboids
- Models and volumes
- How to split a cube into three pyramids
- Graphics
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