Cidepe

Function

Intended for experimental study, mathematics laboratory and carrying out mathematical experiments on: Mathematics. Metrology. Comparing different scales of volume measurement. Significant digits and uncertainties. Functions. Characteristics of the graph of the affine function. Positive angular coefficient and negative angular coefficient. Characteristics of the quadratic function and the reciprocal function. Algebra. The remarkable square product of the sum of two terms. The remarkable square product of the difference of two terms. The remarkable square products of the sum of two terms and the square of the difference of two terms. First-degree equation with one unknown and the additive and multiplicative principles of equalities. Determining the mass of an object, using an equal-arm balance. Ratio. First-degree inequality with one unknown and the additive and multiplicative principles of inequalities. Proportion and the directly proportional relationship. The inversely proportional relationship. Trigonometry. The degree, the radian, the quadrants and their conversions. The sine, the cosine and the tangent in the trigonometric circle. The fundamental relationship of trigonometry in the trigonometric circle. The degree, the radian, the quadrants and their conversions. Measuring the height of a distant object, the clinometer. The angular properties of triangles. The fundamental trigonometric relationships of the right triangle. The Pythagorean theorem, a metric relationship between the sides of a right triangle. The law of sines and cosines in a right triangle. Measuring the values of sine, cosine and tangent. Plane and metric geometry. The relationships between the angles formed by parallel lines cut by a transversal line. How to obtain the number pi in the circumference? The Pythagorean theorem. Thales' theorem, ratio and proportion; Thales' theorem and similar triangles. How to obtain polygonal lines, quadrilateral and trilateral polygons and their perimeters. How to obtain the areas of rectangular, square and triangular polygons, parallelograms, trapezoids and rhombuses, quadrilaterals and trilaterals? Regular polygons, inscribed polygons. The brachistochrone and tautochrone characteristics of the inverted cycloid. Spatial and metric geometry. The oblique rectangular prism and the right quadrangular prism, straight parallelepiped and their area. The regular straight pyramid and the non-regular pyramid, the area of the regular straight pentagonal pyramid. The area of the sphere inscribed in a cylinder. The external, internal and wall volumes of a hollow regular pentagonal pyramid and of the hollow straight quadrangular prism. The straight and oblique prisms, the area of the right quadrangular prism, parallelepiped. The area of the right circular cylinder. The sphere and the area of the sphere inscribed in a cylinder. Area of the regular hexahedron, the cube. The external, internal and wall volumes of a hollow cube. The pyramids, the external, internal and wall volumes of a hollow regular pentagonal pyramid. The prisms, the external and wall volumes of a hollow right quadrangular prism. The solid of revolution obtained by rotating a rectangle, the right cylinder. The solid of revolution obtained by rotating a right triangle, the right cone. The cone of revolution intercepted by a plane, the truncated cone. The conical surface of revolution intercepted by a plane, conical sections, curves. The sphere of revolution obtained by rotating a semicircle and the spherical cap. The conical shell resulting from the revolution of an inclined line. The cylindrical shell resulting from the rotation of a vertical line. The disk resulting from the rotation of a horizontal line. The circular ring, torus or toroidal surface, resulting from the rotation of a circle. The spherical shell resulting from the rotation of a circle around one of its diameters. The ellipsoid resulting from the rotation of an ellipse. The paraboloid of revolution or circular paraboloid, resulting from the rotation of a parabola, etc.

Cidepe - Industrial Center for Teaching and Research Equipment - is a company of reference in educational instruments in educational institutions in Brazil and abroad. With an experienced team of engineers, professors, researchers, consultants and other collaborators, Cidepe develops products with technology and human talent to improve the teaching dynamics.
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Details with the main experiments