L01 NATURAL NUMBERS
What are natural numbers
The four operations with natural numbers
The powers with the naturals
Expressions with naturals v E 0105 Properties of operations
The properties of powers with natural numbers v E 0107 Multiples and divisors of a number
The GCD and the lcm
numbering systems
Whole numbers
L02 I INTEGER NUMBERS
What are integers
Addition and subtraction with whole numbers
Multiplication, division with whole numbers
the power of integers
The laws of monotonicity
L03 THE RATIONAL NUMBERS AND THE REAL NUMBERS
From fractions to rational numbers
The comparison of rational numbers
The operations in Q
Powers with negative integer exponent
Rational numbers and decimal numbers
The real numbers
Fractions and proportions
The percentages
The approximate calculation
Scientific notation and order of magnitude
L04 THE SET AND THE LOGIC
Meaning of a set
The representations of a set
The subsets
Operations with sets
The set of parts and the partition of a whole
logical propositions
Logical connectives and expressions
valid forms of reasoning
Logic and sets
The quantifiers
L05 THE RELATIONS AND THE FUNCTIONS
The binary relationships
The relations defined in a set and their properties
Equivalence relations
Order relations
Functions
The numerical functions
The Cartesian plane and the graph of a function
Particular numerical functions
The trigonometric functions
L06 I MONOMI
What are monomials
Operations with monomials
MCD and mcm fra monomi
L07 I POLINOMI
What are polynomials
Operations with polynomials
The remarkable products
The polynomial functions
The division between polynomials
Ruffini's rule
The remainder theorem
Ruffini's theorem
L08 THE DECOMPOSITION INTO FACTORS
The factorization of polynomials
MCD and mcm fra polynomial
L09 ALGEBRAIC FRACTIONS
Algebraic fractions
Calculus with algebraic fractions
L10 THE LINEAR EQUATIONS
The identities
The equations
The principles of equivalence
Integer numerical equations
Equations and problems
Fractional equations
The literal equations
L11 THE LINEAR INEQUATIONS
Numerical inequalities
The inequalities
Integer inequalities
The systems of inequalities
Equations with absolute values
Inequalities with absolute values
The study of the sign of a product
Fractal inequalities
L12 STATISTICS
the statistical data
Graphical representation of data
The indexes of central position
The indices of variability
L12A IL CODING
numbers and digital information
problems and algorithms
programming with Python
(programming with JavaScript)
coding applications
GE01 THE GEOMETRY OF PLAN
Geometric objects and properties
The postulates of belonging and order
The basic figures
Operations with segments and angles
Lengths, widths, measurements in plane geometry
GE02 I TRIANGLES
first definitions on triangles
first criterion of congruence of triangles
second criterion of congruence of triangles
the properties of the isosceles triangle
the third congruence criterion
inequalities in triangles
GE03 THE PERPENDICULAR AND PARALLEL LINES
perpendicular lines in geometry
parallel lines in geometry
the properties of the angles of the polygons
the congruence criteria of right triangles
GE04 i parallelogrammi e i trapezi
the parallelogram
the rectangle
the rumble
the square
the trapeze
the correspondences of a bundle of parallel lines