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Glaciers form over a long period of time. The video shows the process of their formation and their structure. Glaciers play an important role in the climate. Unfortunately, in the course of climate change, the future does not look good for them - and their melting will further accelerate the negative development.

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In order to understand the formation of wind, the film explains the circumstances under which air pressure gradients occur and how air always flows from high pressure to low pressure areas. Human respiration, the land-sea wind system on the coasts and the corridor wind system in cities are used as examples.

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Fractions with the same name can be added and subtracted. This film shows how to make fractions with unequal names equal by expanding them and, if necessary, shortening the result at the end. The video shows two solutions, and it explains that for the shorter one, one must have a good command of the multiplication tables.

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This film explains how to use the rules of congruence to make equal-sized triangles. The term congruence is explained and the congruence mappings of translation, rotation, and reflection are presented. Animations then demonstrate the rules of congruence and show how to use a compass, ruler and set square.

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For a sample to be truly representative for an extrapolation or a forecast, it must be randomly selected. The film uses examples from everyday life to show that random evaluation can always lead to errors. Accordingly, forecasts are never really safe predictions, but always only of high probability.

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This film´s topic is the decimal system. The basic principles of counting and writing numbers in different cultures are described. It is thanks to an Arabic mathematician that the decimal system and the written basic arithmetic methods ever spread as far as Europe and that we nowadays call these numbers "Arabic numerals".

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Calculating with decimal numbers is relatively easy because you can move the decimal point and thus increase or decrease them by a ten´s value at a time. It is explained how to make a fraction out of a decimal number. The most important decimal fractions that one encounters very often in everyday life are mentioned.

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This film takes geometry from the drawing paper dimension into the third dimension. Animations and examples from everyday school life clearly explain which geometric bodies are behind food cans and shoeboxes and how they are constructed. This film is a particularly well suited as an introduction to spatial geometry.

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Pom and Wally playfully learn how to calculate with times. For example, how long does a certain activity take and how much time passes until a certain event? That´s not so easy, because time can´t be measured in tens and hundreds like other units of measurement. The tools used are the clock and the calendar.

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One speaks of conditional probability when a result is dependent on a previous result. The film uses the example of students who have studied or not studied before a test - in the former case the result is better than in the latter. The video explains the four-field table and shows how probability theory works.

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It is relatively easy to solve mixed quadratic equations by applying the binomial formulas backwards. The film shows how to recognize that a quadratic addition is necessary by using the equivalent transformation, the conversion and the root extraction. The video describes the procedure step by step.

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This film is all about the relationship between the circumference and the diameter of circles. Using the example of a bicycle speedometer, we first introduce the number pi and the formula for working out the circumference of a circle. We then show how we get to the formula for working out the surface area of circles.

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The subject of this video is the Cartesian coordinate system, which is explained by using a chess board with letters and numbers to describe the playing pieces´ positions. The film introduces two axes and the labelling of points with X and Y values, as well as the four quadrants of the coordinate system.

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This film looks at negative numbers and introduces how to add and subtract them. Examples on the number line show how numbers with the same and different signs can be calculated with each other. Mathematical rules such as the commutative law for arithmetic with negative numbers are presented and visualized with examples.

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The film is about calculating with terms. Complicated terms are combined and broken down. We explain how order can be brought into unsorted terms using powers, exponents and the commutative law. Bracketing and multiplying out as well as calculating with negative numbers in this regard are also made understandable.

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You can simplify terms to be able to calculate better with them. The film shows which steps are used to convert long additions into shorter multiplications. Longer terms with several variables are sorted alphabetically and then the summands are combined. The video also gives tips for different signs.

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The binomial formulae help to calculate with binomials, i.e., with exactly two terms that consist of powers or products. The film gives all three formulas and demonstrates how much easier the formulas make calculating, using the conventional way of calculating with the resolution of brackets and reductions.

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This film is about large numbers. The focus is on grouping using commas for thousands and the terms million, billion, trillion etc. Simple examples are used to show why and to what extent it makes sense to make large numbers easier to understand and compare. Modern examples create a clear link to students´ daily lives.

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This film looks at random experiments with exactly two possible outcomes. Such random experiments are called Bernoulli processes, after the Swiss mathematician. Simple examples explain the basics of calculating such processes. Elements such as the Bernoulli chain, the "Galton board" and Pascal´s triangle are introduced.

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The subject of this film is the basics of arithmetic using decimals. Simple examples show how to perform basic arithmetic with decimal numbers. The video explains the simplifications that can be used. Rules about addition, subtraction, and multiplication are presented. Division is looked at in another film.

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If a data set contains deviations, i.e., values that deviate greatly from the others, one cannot use the arithmetic mean to make any statements about the average. This film presents other methods for describing statistical data: median, quartiles and interquartile range as well as the graphical representation of a box plot.

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The subject of this film is allocations, in particular proportional allocations. Very generally speaking, terms are allocated to one another by being put into a relationship with each other. That is often done in tables. The film shows which role proportional allocations play in mathematics and how they can be depicted.

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The subject of this film is the rule of three, which will be presented and explained here using various everyday school examples. Terms such as proportional and reciprocal correlation are explained. Clear example calculations also show how principles such as "the more, the more" and "the more, the less" are used mathematically.

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This film introduces an important tool in geometry: the set square. It shows you how a set square can be used to draw shapes, objects, and mirror images or to find the center of line segments. It demonstrates how it can be used to construct right angles and parallel lines, as well as how to draw and measure any angle.

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The basis for making an accurate map or floor plan is to select the appropriate floor plan. Otherwise, the illustration will turn out incorrect and be useless. The film uses examples from everyday life to introduce viewers to the principle of scaling down or enlarging, and to illustrate the effects that errors can have.

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A electromagnet is made up of a coil with an iron core around which a magnetic field is generated as soon as electricity flows. This film shows how electromagnets can be used, for example as relays for high voltage circuits, for doorbells, in magnetic resonance therapy, and in particle accelerators.

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Mass is one of the seven basic physical quantities. This video gives an understandable definition of this quantity, names its unit of measurement and explains how it is related to the force of weight. Colloquially and outside the physical context, mass is also called weight, which can lead to confusion.

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This video explains the concept of a magnetic field. It clearly describes some essential effects of magnetism and illustrates the concept of field lines. The film shows what the Earth´s magnetic field is all about, it clarifies geographical and magnetic poles and goes into the phenomenon of declination.

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Lorentz force describes the effect of magnetic fields on moving electrons. It acts perpendicularly to the magnet´s field lines and to the direction of the electrons. The film shows how to determine the direction of movement of the electrons using the three-finger rule and where this force is used for technical purposes.

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Light travels at very high speed in a vacuum as well as in the air. As soon as it hits a denser material, however, its speed is slowed down. The film explains the refractive index, demonstrates why light rays are deflected in water, for example, and shows what angle is needed for a total reflection.

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