Cidepe

Function

Intended for experimental study, mathematics laboratory and carrying out mathematics experiments on: Functions. What are the characteristics of the graph of the affine function? Positive angular coefficient. The affine function, 1st degree polynomial function. What are the characteristics of the graph of the affine function? Negative angular coefficient. What are the characteristics of the quadratic function? The quadratic function, 2nd degree polynomial function. The coefficients of the quadratic function, or 2nd degree polynomial function. First degree equation with one unknown and the additive and multiplicative principles of equalities. The additive principle of equalities. The multiplicative principle of an equality. Determining the mass of an object, using an equal-arm balance. First degree inequality with one unknown and the additive and multiplicative principles of inequalities. Principles of equivalence of inequalities. The additive principle of inequalities. Multiplicative principle of inequality. The inequality. Solving the inequality. Ratio, how to compare by means of division. The ratio between two measurable quantities. The term known as the antecedent and the term known as the consequent. Proportion and the directly proportional relationship. The proportion. Identifying the antecedent and the consequent. The constant of proportion. The directly proportional relationship. The inversely proportional relationship. Algebra. The remarkable square product of the sum of two terms, with table. The remarkable square product of the difference of two terms, with table. Trigonometry. The angular properties of triangles. The classification of triangles according to their sides. The property of the sum of the measures of the internal angles of the triangle. The property of the sum of the acute angles of the right triangle. The external angles of a triangle. The property of the sum of the external angles of the triangle. The property of the equality of each external angle with the sum of the adjacent internal ones. The fundamental trigonometric relations of the right triangle. The complementary internal angles of the triangle. The sine of an acute internal angle of the triangle. Measuring the sides of different right triangles. The tangent of an acute internal angle of the triangle. The two fundamental relations of the right triangle. Pythagoras' theorem, a metric relationship between the sides of a right triangle. The law of sines and cosines in a right triangle. Constructing a triangle with known sides. Measuring the values of sine, cosine and tangent, on a grid with an angular scale. Tracing, graduating and identifying the axes of sine, cosine and tangent. Measuring the values using the graduation of the traced axes. The degree, the radian, the quadrants and their conversions. The trigonometric cycle. The sine in the trigonometric circle. The cosine in the trigonometric circle. The tangent in the trigonometric circle. The fundamental relationship of trigonometry in the trigonometric circle. Plane and metric geometry. The relationships between the angles formed by parallel lines cut by a transversal line. Internal angles and external angles. Alternate angles. Alternate internal angles. Alternate external angles. Collateral angles. Collateral interior angles. Congruent angles. Complementary angles. Supplementary angles. Corresponding angles. The properties of angles between two parallel lines cut by a transversal. Pythagoras' theorem, using the tableau. Thales' theorem (intersection), ratio and proportion, tableau. Thales of Miletus and the theorem that bears his name. Transversal line. Thales' theorem and similar triangles, etc.

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Details

Details with the main experiments