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Mathematik bleibt für viele Schüler ein Buch mit sieben Siegeln. Das muss nicht sein: In sieben spannenden Kurzfilmen werden mit diesem Medium Informationen über Fraktale, die Zahl Pi, das Pascalsche Dreieck, die Topologie, Spiralen und das Rechnen mit dem Unendlichen auf verständliche Weise erklärt.
Die geografische Ortsbestimmung ist ein Beispiel für angewandte Mathematik. Der Film behandelt die Geometrie von Kreis und Kugel sowie den Meridian, die Breiten- und die Längengrade. Die Grundzüge der Navigation werden betrachtet und das metrische System sowie Grad, Minute und Sekunde erklärt.
This video looks at the basics of probability calculation. First of all, the term probability is explained. Using ideal random trials, disjoint and non-dijoint events are defined amongst others, simple probabilities for disjoint events are calculated, and the respective arithmetic rules are presented.
Prime numbers are only divisible by themselves and by one. All other numbers consist of products of prime numbers. In the video, examples are used to show how a number can be identified as a prime number, both through the application of divisibility rules and through the helpful sieve of Eratosthenes.
By means of the prime factorization, one can get a good overview of the divisor set of a number. The film uses several examples to show how this decomposition works and in which cases it is unique. Since the calculation can quickly become confusing with large numbers, you can also help yourself with powers.
This film uses catchy examples to explain what a power is and how to calculate with powers. Among other things, the multiplication and division of powers with the same exponent or with the same base, as well as the exponentiation of powers, are explained. In addition, special cases such as negative exponents are considered.
This film introduces polygons. First of all, the well-known triangles and rectangles are presented, and we recap how to work out their perimeter and surface area. Animations then explain the makeup of regular polygons using center point triangles and show how they can be used to work out other amounts.
This film presents the simplest geometric elements: points and lines. Labeling them with letters and the construction and measurement of line segments are also introduced along with the transition from line segments to rays and lines. Clear animations demonstrate how to label these lines and work out their position relationship.
Both cones and pyramids are pointed bodies. They both consist of the base surface and the lateral surface. The base of a pyramid is any polygon, while the base of a cone is a circle. The film shows various pyramid shapes such as the tetrahedron and explains where cone shapes can be discovered in nature.
There are five Platonic solids in mathematics. They were named after their discoverer, Plato. The video introduces the hexahedron, the tetrahedron, the octahedron, the icosahedron, and the dodecahedron with their respective symmetrical peculiarities. It explains where these regular shapes occur in nature.
The video explains what the so-called cavalier perspective is all about: it is used to be able to draw geometric bodies in such a way that the brain recognizes them as three-dimensional. The film uses the examples of a cube, a cuboid, a pyramid and a triangular primate to demonstrate how exactly this way of drawing works.
This film is about the construction and peculiarities of perpendicular bisectors and angle bisectors without a set square. The video shows the methods that were already used in Ancient Greece. A ruler and a compass are sufficient for this, as you only need to find the intersection points of correctly created circles.
Percentage calculation is important in different everyday situations. The film explains the simplest formula for percentage calculation, namely percentage x basic value = percentage value, and introduces the percentage triangle. It shows how the third value can always be calculated using two of the values.
The video explains the special properties of a number line and shows step by step how to create it. It demonstrates how easy it is to read mathematical laws and relationships from it. The number line, which contains all positive and negative integers, facilitates the comparison and arrangement of numbers.
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The subject of this film is negative numbers. It was René Descartes who extended the series of numbers named after him beyond zero. Gabriel Fahrenheit worked with negative numbers to measure temperatures. The film shows at which points negative numbers can be helpful and how they fit into the number system.
This film is about multiplying and dividing negative numbers. Easy-to-understand animations show how numbers with different signs can be multiplied by each other. Calculations on the number line are demonstrated and translated to everyday situations. Calculations with negative fractions are also explained.
You multiply fractions with integers by keeping the denominator and multiplying the numerator by the number, and using the reduction advantage. If you have parent fractions, you multiply the denominators together. If you have different fractions, you multiply numerators by numerators and denominators by denominators.
This film first gives several examples of reflections in the Cartesian coordinate system and then develops generally applicable rules from them. First, individual points are mirrored on the y-axis, the x-axis and the zero point. Then it is shown that and why mirroring also works with geometric figures.
Roman numerals are still used relatively often today. Therefore, the film explains how to read them correctly and transfer them to our number system. It explains the history of the numbers from the beginning, describes the expansion of the system, and points out the special features of the numbers 4 and 9.
This film shows the relationship between lines and points. It explains how a set square can be used to measure the vertical distance between a point and a straight line. Two straight lines can either be parallel to one another or intersect each other. In three-dimensional space, straight lines can also be crooked to one another.
Statistics is the study of methods used to assess quantitative data gathered through observations, measurements, or surveys. This video uses simple examples to explain the basics of statistics, clarifies terms like "arithmetic mean", "span" and "mean absolute deviation" and provides subtitles for inclusive learning.
Taking a pyramid with a square base as an example, this film shows how the volume of pointed bodies can be worked out using their component prisms and how even complicated problems can be understood by looking very closely. A combination of real models and animated sequences makes this video an educational, fun experience.
Using a combination of actual models and added animations, this film shows step by step how you calculate the volume and surface area of prisms and cylinders. By the example of food cans, the video explains what parts make up the surface and how the volume can be worked out using simple calculations.
When measuring an angle, you can always take into account two adjacent angles and a vertical angle. This film uses examples to show how these angles relate to each other and explains the various rules. The video also presents corresponding and alternative angles and explains how they relate to the others.
You can move individual points as well as geometric figures in the Cartesian coordinate system. The film explains what exactly the vector is and how its value is represented. The video explains how displacements in different directions work and what special features there are when displacing entire figures.
This film shows how a set square can be used to reflect points and figures along axes and points. Clear examples explain why the scales on a set square are inverse and how they can be used along with the corresponding auxiliary line to simply create the mirror image of objects. Rotational symmetry is also explained.
This video looks at the surface areas of quadrilaterals and their calculation. Animations show properties of quadrilaterals, and the units of measurement relevant to the subject are introduced. To finish up, we delve into parallelograms and trapezoids and learn how a kite is transformed into a rectangle with double the area.
A statistical survey is the collection of data for a specific question. This video looks at the collection, the analysis, and the representation of such data. Topics include different types of questions, the standardization of data, the kinds of graphic representations as well as the risks of different scaling methods.
Rounding means making numbers less precise and as a result easier to calculate with. But in such a way that they are still precise enough for their purpose. This film introduces the rounding rule according to DIN 1333 using clear everyday examples. We also look at rounding errors and rounding already rounded numbers.