Intended for experimental study, mathematics laboratory for carrying out experiments on: Elementary school 1. Logical-mathematical reasoning. Symmetry of images. Laterality using the plane half-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 scales of measurements. Parallel and transversal lines. Construction of triangles. Plane geometry. Construction of polygons. Measurement of perimeters in polygons. Developing motor coordination through sequences of colors and images. Fitting and obtaining plane shapes. Non-plane shapes. Spatial geometry. Measuring the internal volume of a cubic shape. Mathematics. Elementary school 2. Metrology. Significant digits and uncertainties. Different scales of volume measurement 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 an equal-arm balance. 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 remarkable square product of the sum of two terms. The remarkable square product of the difference of two terms. Functions. What are the characteristics of the graph of the affine function? Positive angular coefficient and negative angular coefficient. What are the characteristics of the 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 relationship in the trigonometric circle. The angular properties of triangles. The fundamental trigonometric relationships 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. Measuring the height of a distant object, the clinometer. Probability and statistics. The probability of random events. Plane geometry and metrics. How to obtain the number pi in the circumference? The relationships between the angles formed by parallel lines cut 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 rectangular, square, triangular, parallelogram, trapezoid and rhombus polygons? Spatial geometry and metrics. Area of the regular hexahedron, the cube. Straight, oblique, right quadrangular and right parallelepiped prisms and their areas. Regular straight 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 regular pentagonal 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 the rectangle, the right cylinder. The solid of revolution obtained by rotating the right triangle, the right cone. Sectioning the right cone of revolution with planes of different inclinations, conical curves. The sphere of revolution obtained by rotating the semicircle and the spherical cap. The shell or hyperboloid surface of revolution, rotation of a vertical hyperbola around the central axis, etc.
Mathematics. Logical-mathematical reasoning. Numbers. Quantities and measurements. Metrology. Algebra. Functions. Trigonometry. Probability and statistics. Geometry and measurements. Plane and metric geometry. Spatial and metric geometry. Surfaces of revolution.