Mathematics set, fundamental II

Code: EQ077EM2

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Function

Intended for experimental study, this mathematics laboratory is designed for conducting experiments on: Mathematics. Metrology. Significant figures and uncertainties. Different volume measurement scales and their errors. Algebra. First-degree equations 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 inequalities 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 angular coefficient. What are the characteristics of the graph of an affine function? Negative angular coefficient. 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. Cosine in the trigonometric circle. Tangent in the trigonometric circle. The fundamental trigonometric relation in the trigonometric circle. Angular properties of triangles. 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. Using free mathematical software for Thales' Theorem, intersection. Thales' Theorem and similar triangles. Using free mathematical software for Thales' Theorem and similar triangles. How to obtain polygonal lines, quadrilateral and trilateral polygons and their perimeters. How to find the areas of rectangles, squares, and triangles? How to find the areas of parallelograms, trapezoids, and rhombuses? Spatial and metric geometry. Area of a regular hexahedron, the cube. Right and oblique prisms, the area of a right quadrangular prism, parallelepiped. The oblique rectangular prism and the right quadrangular prism, right parallelepiped and its area. Regular right and irregular pyramids, the area of a regular right pentagonal pyramid. The regular right pyramid and the irregular pyramid, the area of a regular right pentagonal pyramid. The area of a right circular cylinder. The sphere and the area of the sphere inscribed in a cylinder. The area of the sphere inscribed in a cylinder. The external, internal, and wall volumes of a hollow cube. Pyramids, the external, internal, and wall volumes of a hollow regular pentagonal pyramid. The external, internal, and wall volumes 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 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.

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Main experiments (visual example)

Comparing different volume measurement scales. 1032.003_B_1
Significant figures and uncertainties. 1032.003_0
Different scales for measuring volume 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, a way of comparing through division. 1400.203
Proportion and the directly proportional relationship. 1400.204
The inversely proportional relationship. 1400.205
The notable product of the square of the sum of two terms, with panel. 1400.211
The notable product of the square of the difference of two terms, with panel. 1400.212
What are the characteristics of the graph of a linear function? Positive slope. 1400.000JM
What are the characteristics of the graph of a linear function? Negative slope. 1400.000AJM
What are the characteristics of a quadratic function? 1400.102JM
Degrees, radians, quadrants and their conversions, with panel. 1072.006_A
The sine function 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 trigonometric relationship in the trigonometric circle, with panel. 1072.006_E
The angular properties of triangles. 1400.025
The fundamental trigonometric relationships of the right triangle. 1400.030
The Pythagorean 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 find the number pi on a circumference? 1400.005D
The relationships between the angles formed by parallel lines intersected by a transversal line. 1400.020
Thales' Theorem, intersection, ratio and proportion, with panel. 1400.231
Thales' Theorem and similar triangles, with panel. 1400.233
How to obtain polygonal lines, quadrilateral and trilateral polygons and their perimeters, with panel. 1400.235
How to find the areas of rectangles, squares, and triangles? With panel. 1400.236
How to find the areas of parallelogram, trapezoid, and rhombus polygons? With panel. 1400.237
Area of a regular hexahedron, the cube. - 1400.006 A 1400.006A
Right and oblique prisms, the area of a right quadrangular prism, parallelepiped. 1400.006C
The oblique rectangular prism and the right quadrangular prism, right parallelepiped and its area. 1400.006C1
Regular right and irregular pyramids, the area of a regular right pentagonal pyramid. 1400.006D
The area of a regular right pyramid and an irregular pyramid is 1400.006D1. 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 the sphere inscribed in a cylinder. 1400.006K
The external, internal, and wall volumes of a hollow cube. 1400.008
The pyramids, the external and internal volumes and the walls of a hollow pentagonal regular pyramid. 1400.009
The external, internal, and wall volumes of a hollow regular pentagonal pyramid. 1400.009A
The prisms, the external and wall volumes of a hollow right quadrangular prism. 1400.011
The external, internal, and wall volumes of a hollow right quadrangular prism. 1400.011A
The solid of revolution obtained by rotating a rectangle is the right cylinder. 1400.007A_2
The solid of revolution obtained by rotating a right triangle is the right cone. 1400.007B_2
By sectioning a right cone of revolution with planes of different inclinations, conic sections are formed. 1400.007D_2
The sphere of revolution obtained by rotating the semicircle and the spherical cap. 1400.007E_2
The hyperboloid shell or surface of revolution, a rotation of a vertical hyperbola around its central axis. 1400.007F_2