Mathematics set, final years
Function
Intended for experimental study, mathematics laboratory and carrying out mathematical experiments on: Mathematics. First-degree equation with one unknown and the additive and multiplicative principles of equalities. The additive principle and the multiplicative principle of an equality. 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. Principles of equivalence of inequalities. The inequality. Solving the inequality. Algebra. Ratio, how to compare by means of division. The ratio between two measurable quantities. The term known as the antecedent and the term known as the consequent. Proportion and the directly proportional relationship. The constant of proportion. The directly proportional relationship. The inversely proportional relationship. The remarkable square product of the sum of two terms, with table. The remarkable square product of the difference of two terms, with table. Trigonometry. The angular properties of triangles. The classification of triangles according to their sides. The property of the sum of the measures of the internal angles of the triangle. The property of the sum of the acute angles of the right triangle. The external angles of a triangle. The property of the sum of the external angles of the triangle. The property of the equality of each external angle with the sum of the adjacent internal angles. The fundamental trigonometric relations of the right triangle. The complementary internal angles of the triangle. The sine of an acute internal angle of the triangle. The tangent of an acute internal angle of the triangle. The two fundamental 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 values of sine, cosine and tangent. Tracing, graduating and identifying the axes of sine, cosine and tangent. The degree, the radian, the quadrants and their conversions. The trigonometric cycle. The sine, the cosine and the tangent in the trigonometric circle. The fundamental relation of trigonometry in the trigonometric circle. Plane and metric geometry. The relationships between the angles formed by parallel lines cut by a transversal line. Internal angles and external angles. Alternate internal angles. Alternate external angles. Collateral angles. Internal collateral angles. Congruent angles. Complementary angles. Supplementary angles. Corresponding angles. The properties of the angles between two parallel lines cut by a transversal line. Thales' Theorem (intersection), ratio and proportion. Thales of Miletus and the theorem that bears his name. Transversal line. Thales' Theorem and similar triangles. How to obtain polygonal lines, quadrilateral and trilateral polygons and their perimeters. The open and closed polygonal line. The quadrilateral polygon, rectangle. The base and height in rectangles. The quadrilateral polygon, square. The trilateral polygon, triangle. The height of a triangle. Congruence, congruent triangles. The right triangle. The quadrilateral polygons, parallelogram, trapezoid and rhombus. The perimeter of a polygon. The diagonals of a polygon. How to obtain the areas of the rectangular, square and triangular polygons? 1 What is meant by the area of an internal flat region of a polygon. Constructing a quadrilateral polygon, rectangle. The area of the quadrilateral polygon, rectangle. Constructing a quadrilateral polygon, square. The area of the quadrilateral polygon, square. Constructing a trilateral polygon, right triangle. The area of the trilateral polygon, right triangle. How to obtain the areas of parallelogram, trapezoid and rhombus polygons? The quadrilateral polygon, parallelogram and congruent triangles. The area of the quadrilateral polygon, trapezoid. The area of the quadrilateral polygon, rhombus, etc.
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Key Experiments
- » 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
- » 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 values of sine, cosine and tangent, on a grid with an angular scale. - 1400.043
- » 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 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