Mathematical master unit, analog and digital multimeter, photoelectric sensor
Function
Intended for experimental study, mathematics laboratory and carrying out mathematical experiments on: Mathematics. Metrology. Significant digits and uncertainties. Comparing different scales of volume measurement. Trigonometry. Angular properties of triangles. Fundamental trigonometric relations of the right triangle. Pythagoras' theorem, a metric relation between the sides of a right triangle. The law of sines and cosines in a right triangle. Degree, radian, quadrants and their conversions. Sine in the trigonometric circle. Cosine in the trigonometric circle. Tangent in the trigonometric circle. The fundamental trigonometric relation in the trigonometric circle. Measuring the values of sine, cosine and tangent, on a grid with an angular scale. Measuring the height of a distant object, the clinometer. Plane and metric geometry. How to obtain the number pi in the circumference? The relations between the angles formed by parallel lines cut by a transversal line. Pythagoras' theorem. 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 and triangular polygons? How to obtain the areas of parallelogram, trapezoid and rhombus polygons? Spatial and metric geometry. The solid of revolution obtained with the rotation of the rectangle, the right cylinder. The solid of revolution obtained with the rotation of the right triangle, the right cone. Sectioning the right cone of revolution with planes of different inclinations, conic curves. The solid of revolution obtained with the rotation of the semicircle, the sphere. The shell or surface of the double right circular cone and the plane conic curves. The surface of revolution obtained with the rotation of a hyperbola, hyperboloid of a sheet. The shell or straight cylindrical surface of revolution due to the rotation of a vertical line. The shell or circular surface, rotation of a horizontal line. The toroidal shell or surface of revolution, rotation of a circle around a remote axis. The spherical shell or surface of revolution, rotation of a circle around one of its diameters. The circular parabolic shell or surface of revolution, rotation of a parabola around a central axis. The ellipsoidal shell or surface of revolution, rotation of an ellipse around one of its diameters. Analytical geometry. The shortest path is not always the fastest. The brachistochronic characteristic of the inverted cycloid. Time is independent of the starting point of the sphere, tautochronous characteristic of the inverted cycloid. How to obtain a cycloid curve using free software? 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 directly proportional relationship. Inversely proportional relationship. The squared product of the sum of two terms. The squared product of the difference of two terms. Functions. What are the characteristics of the graph of an affine function? Positive slope. What are the characteristics of the graph of an affine function? Negative slope. What are the characteristics of a quadratic function? What are the characteristics of a reciprocal function, etc.
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Key Experiments
- » Significant figures and uncertainties. - 1032.003_0
- » Comparing different volume measurement scales. - 1032.003_B_1
- » 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
- » 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
- » Measuring the values of sine, cosine and tangent, on a grid with an angular scale. - 1400.043
- » Measuring the height of a distant object, the clinometer. - 1400.240
- » How to get pi from circumference? - 1400.005B
- » The relationships between the angles formed by parallel lines cut by a transversal. - 1400.020
- » Pythagoras' theorem, with panel. - 1400.213
- » 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 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
- » The solid of revolution obtained by rotating the rectangle, the straight cylinder. - 1400.007A1
- » The solid of revolution obtained by rotating the right triangle, the right cone. - 1400.007B1
- » By sectioning the straight cone of revolution with planes of different inclinations, the conic curves. - 1400.007D1
- » The solid of revolution obtained by rotating the semicircle, the sphere. - 1400.007E1
- » The shell or surface of the right circular double cone and the plane conical curves. - 1400.007F1
- » The surface of revolution obtained by rotating a hyperbola, a one-sheet hyperboloid. - 1400.007F2
- » The straight cylindrical shell or surface of revolution due to the rotation of a vertical line. - 1400.007G1
- » The circular shell or surface, rotation of a horizontal line. - 1400.007H1
- » The toroidal shell or surface of revolution, rotation of a circle around a remote axis. - 1400.007I1
- » The spherical shell or surface of revolution, rotation of a circle about one of its diameters. - 1400.007J1
- » The circular parabolic shell or surface of revolution, rotation of a parabola around a central axis. - 1400.007K1
- » The ellipsoidal shell or surface of revolution, rotation of an ellipse around one of its diameters. - 1400.007L1
- » The shortest path is not always the fastest. The brachistochronic feature of the inverted cycloid - 1400.221
- » Time is independent of the starting point of the sphere, a tautochronous characteristic of the inverted cycloid. - 1400.222
- » How to obtain a cycloid curve using free software? - 1400.225
- » 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 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
- » What are the characteristics of the reciprocal function? - 1400.052