Cidepe

Function

Intended for experimental study, this mathematics laboratory is designed for conducting experiments on: Mathematics. Elementary School 1. Logical-mathematical reasoning. Image symmetry. Laterality using a plane semi-mirror. Numbers. Classification, counting, and operations with numbers. Circular fractions. Numbers, decimal system, and mathematical operations. Sequence and association of numbers. Quantities and measurements. Comparing different measurement scales. Parallel and transversal lines. Construction of triangles. Plane geometry. Construction of polygons. Measuring perimeters in polygons. Developing motor coordination through sequences of colors and images. Fitting and obtaining planar shapes. Non-planar shapes. Spatial geometry. Measuring the internal volume of a cubic shape. Mathematics. Elementary School 2. Metrology. Significant figures and uncertainties. Different volume measurement scales and their errors. Algebra. First-degree equation with one unknown and the additive and multiplicative principles of equalities. Determining the mass of an object using a balance with equal arms. First-degree inequality with one unknown and the additive and multiplicative principles of inequalities. Ratio, how to compare by means of division. Proportion and the directly proportional relationship. The inversely proportional relationship. The notable product of the square of the sum of two terms. The notable product of the square of the difference of two terms. Functions. What are the characteristics of the graph of an affine function? Positive and negative slope. What are the characteristics of a quadratic function? Trigonometry. The degree, the radian, the quadrants and their conversions. The sine in the trigonometric circle, sinusoidal function. The cosine in the trigonometric circle. The tangent in the trigonometric circle. The fundamental trigonometric relation in the trigonometric circle. The angular properties of triangles. The fundamental trigonometric relations of the right triangle. The Pythagorean theorem, a metric relation between the sides of a right triangle. The law of sines and cosines in a right triangle. Measuring the height of a distant object, the clinometer. Probability and statistics. Probability in random events. Plane and metric geometry. How to obtain the number pi in the circumference? The relationships between the angles formed by parallel lines intersected by a transversal line. Thales' Theorem, intersection, 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 rectangle, square, triangle, parallelogram, trapezoid and rhombus polygons? Spatial and metric geometry. Area of the regular hexahedron, the cube. Right prisms, oblique prisms, right quadrangular prisms, right parallelepipeds and their areas. Regular right and irregular pyramids and their areas. The area of the right circular cylinder. The sphere and the area of the sphere inscribed in a cylinder. The external, internal and wall volumes of a hollow cube, of a hollow pentagonal regular pyramid. Prisms, the external and wall volumes of a hollow right quadrangular prism. The external, internal, and wall volumes of a hollow right quadrangular prism. Surfaces of revolution. 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. Sectioning the right cone of revolution with planes of different inclinations, conic sections. The sphere of revolution obtained by rotating a semicircle and the spherical cap. The hyperboloid shell or surface of revolution, rotation of a vertical hyperbola around its central axis, etc.