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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 audience learns what exponential growth is through the legend of Buddhiram, the inventor of chess. The video explains the recursive and explicit functional equations and shows how both positive and negative exponential growth work. Exponential, linear and quadratic growth are compared with each other.

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In logistic growth, exponential and bounded growth are combined. The curve of a logistic growth starts exponential. In the middle it becomes approximately linear, and it finally ends at a limit which cannot be exceeded. The video explains the formula and gives some illustrative examples from everyday life.

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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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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.

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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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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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We are familiar with the term growth from everyday life. Children grow, the state´s mountain of debt grows, the number of computer users worldwide too. Generally we can say: if any size increases with time, we refer to growth. This film explains the term growth in detail, including positive and negative growth.

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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.

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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.

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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.

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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.

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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.

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This film introduces the mathematical expression "term" and sets out the arithmetical rules for terms. Variables are also introduced as substitutes for numbers and we explain how they can usefully be used in various formulas. The difference between dependent and independent variables is also clearly shown.

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Three laws of arithmetic - the commutative law, the distributive law and the associative law - make arithmetic easier. The film introduces the three laws, explains their meaning and gives the corresponding formulae. The content of each law is summarized in an understandable way in a short and catchy mnemonic.

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This film explains linear equations and their graphical representation. A linear equation, in which there is exactly one y-value for each x-value, is a linear function. The general functional rule for a linear function is y = m * x + b, the corresponding graph is a straight line with the gradient m and the y-axis section b.

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