THE NUMBERS
NATURAL NUMBERS, DECIMAL NUMBERS, DECIMALS WITH APPROXIMATION
ORDER OF NUMBERS, CARTESIAN PLAN, CONCEPT OF LESSER AND EQUAL GREATER
FOUR BASIC OPERATIONS
CONCEPT OF SUM, SUBTRACTION, MULTIPLICATION AND DIVISION
COLUMNING OF NUMBERS IN OPERATIONS
PYTHAGORIC TABLE
ILLUSTRATION OF THE PROPERTIES OF THE TRANSACTIONS THROUGH CONCRETE EXAMPLES
LINK BETWEEN NUMBERS AND FRACTIONS
FRACTION CONCEPT
PASSAGE FROM THE FRACTION TO THE NUMBER, REST, SIMPLE PERIODIC NUMBER AND MIXED PERIODIC
PASSAGE FROM NUMBER TO FRACTION
GRAPHIC REPRESENTATION ON THE CARTESIAN AXIS
EQUIVALENT FRACTIONS
POWER RAISING AND ROOT EXTRACTION
CONCEPT THROUGH EXAMPLES
CALCULATION OF SOME POWERS AND CONTEMPORARY ROOT EXTRACTION (3 raised to fourth compared
with fourth root of 81)
SQUARE ROOT ALGORITHM: KNOWLEDGE OF THE EXISTENCE OF A METHOD FOR CALCULATING THE
SQUARE ROOT
EXISTENCE OF ROOT TABLES EXAMPLES OF PERFECT SQUARES
PROPORTIONS
PROPORTION PROPERTY_ MEDIUM PRODUCT EXTREME PRODUCT, EXCHANGE, REVERSE,
COMPOSING, DISMANTLING
RESOLUTION OF SOME SIMPLE PROBLEMS CALCULATION OF AN EXTREME OR AVERAGE, CALCULATION OF THE AVERAGE
PROPORTIONAL
CONCEPT OF SIZE AND PROPORTION: MEASUREMENTS AND DISTANCES COMPARISON BETWEEN OBJECTS
(SIZES) AND COMPARISON OF MEASUREMENTS
DIRECT PROPORTIONALITY AND REVERSE PROPORTIONALITY ALWAYS THROUGH EXAMPLES FROM THE
EVERYDAY LIFE
GEOMETRY PROGRAM
MEASURES
LENGTH, SURFACE, VOLUME, MASS CAPACITY
STAIRS OF EQUIVALENCE
GEOMETRIC FIGURES
POINT, CURVED LINE STRAIGHT LINE, CORNER
CARTESIAN AXES
PERPENDICULAR, TRANSVERSAL, PARALLEL
DISTANCE
THE POLYGONS DEFINITIONS AND THEIR AREAS: AREA OF THE RECTANGLE, OF THE SQUARE, OF THE PARALLELOGRAMME,
DEL TRIANGOLO, DEL ROMBO, DEL TRAPEZIO. REGULAR POLYGONS
CIRCUMFERENCE AND CIRCLE (RADIUS, DIAMETER, ROPE ARCHES): MEASUREMENT OF CIRCUMFERENCE AND PARTS
OF IT, OF THE POLYGONS ENTERED IN A CIRCUMFERENCE, AREA OF THE CIRCLE AND PARTS OF IT, SUCH AS
CALCULATE THE AREAS OF CURVED LINES.
THE POLYHEDRONS: HOW THE VOLUME DEVELOPES
SURFACES AND VOLUME OF SOLIDS: PRISM, PARALLELEPIPED, CUBE, PYRAMID, REGULAR POLYHEDRONS
ROTATION SOLIDS: CYLINDER, CONE, SPHERE
THEOREMS AND BRIEFS OF DEMONSTRATIONS OF THEOREMS:
PITAGORA THEOREM ENCLOSED DEMONSTRATION AND APPLICATIONS
SIMILITUDE OF TRIANGLES
EUCLIDE THEOREMS: ENUNCIATI AND THEIR APPLICATIONS
ALGEBRA
RELATIVE NUMBERS AND TRANSACTIONS WITH RELATIVE NUMBERS
THE ALGEBRAIC EXPRESSIONS
THE LITERAL EXPRESSIONS
MONOMI POLINOMI
OPERATIONS WITH MONOMES AND POLYNOMES
NOTABLE PRODUCTS
EXERCISES WITH LITERAL EXPRESSIONS
EQUATIONS DEFINITION AND PRINCIPLES OF EQUIVALENCE, METHOD OF RESOLUTION OF EQUATIONS:
DETREMINATED, INDETERMINED, IMPOSSIBLE EQUATIONS.
THE CARTESIAN PLAN
THE CARTESIAN PLAN BASIC CONCEPTS: AVERAGE POINT, DISTANCE BETWEEN TWO POINTS, THE FUNCTIONS, THE
STRAIGHT, PERPENDICULAR STRAIGHT AND PARALLEL STRAIGHT, DIRECT PROPORTIONALITY AND PROPORTIONALITY
REVERSE. THE PARABLE.