Mathematics set, fundamental I and II

Code: EQ077EM

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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.

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Main experiments (visual example)

Comparing different volume measurement scales. 1032.003_B_1
Symmetry of images. 1400.013
Laterality using the flat half-mirror. 1400.013A
Knowing and associating the time between analog and digital clocks. 1400.013B
Classification, counting and operations with numbers. 1400.015
Circular fractions. 1400.015A
mathematical operations with integers, using the abacus. 1400.015B
Sequence and association of numbers. 1400.015C
Comparing different measurement scales. 1032.003_1EF
Parallel and transversal lines. 1400.020_1
Construction of triangles. 1400.025_1
Construction of polygons. 1400.230
Measurement of perimeters in polygons. 1400.230A
Developing motor coordination through sequences of colors and images. 1400.230B
Fitting and obtaining flat shapes. 1400.230C
Non-flat shapes. 1400.230D
Identifying some solid shapes. 1400.010B
Measuring the internal volume of a cubic shape. 1400.010A
Significant figures and uncertainties. 1032.003_0
Different scales of volume measurement and their errors. 1032.003_B_1A
First-degree equation with one unknown and the additive and multiplicative principles of equalities. 1400.201
First-degree inequality with one unknown and the additive and multiplicative principles of inequalities. 1400.202
Ratio, how to compare by means of division. 1400.203
Proportion and directly proportional relationship. 1400.204
The inversely proportional relationship. 1400.205
The remarkable square product of the sum of two terms, with panel. 1400.211
The remarkable square product of the difference of two terms, with panel. 1400.212
What are the characteristics of the graph of the affine function? Positive angular coefficient. 1400.000JM
What are the characteristics of the graph of the affine function? Negative angular coefficient. 1400.000AJM
What are the characteristics of the quadratic function? 1400.102JM
Degree, radian, quadrants and their conversions, with panel. 1072.006_A
The sine in the trigonometric circle, sinusoidal function, with panel. 1072.006_B
The cosine in the trigonometric circle, with panel. 1072.006_C
The tangent in the trigonometric circle, with panel. 1072.006_D
The fundamental relationship of trigonometry in the trigonometric circle, with panel. 1072.006_E
The angular properties of triangles. 1400.025
The fundamental trigonometric relations of the right triangle. 1400.030
Pythagoras' theorem, a metric relationship between the sides of a right triangle. 1400.035
The law of sines and cosines in a right triangle. 1400.040
Measuring the height of a distant object, the clinometer. 1400.240
The probability of random events 1400.250
How to get pi from circumference? 1400.005D
The relationships between the angles formed by parallel lines cut by a transversal. 1400.020
Thales' Theorem, intersection, ratio and proportion, with panel. 1400.231
Using free math software for Thales' intersection theorem. 1400.232
Thales' theorem and similar triangles, with panel. 1400.233
Using free math software for Thales' Theorem and similar triangles. 1400.234
How to obtain polygonal lines, quadrilateral and trilateral polygons and their perimeters, with panel. 1400.235
How to get the areas of rectangle, square and triangle polygons? With panel. 1400.236
How to obtain the areas of parallelogram, trapezoid and rhombus polygons? With panel. 1400.237
Area of the regular hexahedron, the cube. 1400.006A
Straight and oblique prisms, the area of the straight quadrangular prism, parallelepiped. 1400.006C
The oblique rectangular prism and the right quadrangular prism, right parallelepiped and its area. 1400.006C1
The regular straight and irregular pyramids, the area of the regular straight pentagonal pyramid. 1400.006D
The regular straight pyramid and the irregular pyramid, the area of the regular straight pentagonal pyramid. 1400.006D1
The area of the right circular cylinder. 1400.006H
The sphere and the area of the sphere inscribed in a cylinder. 1400.006J
The area of a sphere inscribed in a cylinder. 1400.006K
The external, internal and wall volumes of a hollow cube. 1400.008
The pyramids, the external, internal and wall volumes of a regular hollow pentagonal pyramid. 1400.009
The external, internal and wall volumes of a regular hollow pentagonal pyramid. 1400.009A
Prisms, the external and wall volumes of a straight, hollow quadrangular prism. 1400.011
The external, internal and wall volumes of a hollow, straight quadrangular prism. 1400.011A
The solid of revolution obtained by rotating the rectangle, the straight cylinder. 1400.007A_2
The solid of revolution obtained by rotating the right triangle, the right cone. 1400.007B_2
Sectioning the straight cone of revolution with planes of different inclinations, conical curves. 1400.007D_22
The sphere of revolution obtained by rotating the semicircle and the spherical cap. 1400.007E_22
The hyperboloid shell or surface of revolution, rotation of a vertical hyperbola around the central axis. 1400.007F_22
Pythagoras' theorem, with panel. 1400.213