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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.
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.
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.
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.
Die Film Flat bietet über 8.000 rechtssichere Unterrichtsfilme für alle Schulformen, Fächer und Altersklassen. Das Angebot umfasst Lehrfilme, Dokumentationen und Spielfilme. Lehrkräfte können die Videos streamen, herunterladen und mit ihren Schülerinnen und Schülern teilen.
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 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.
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.
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.
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.
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.
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.
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.
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.
The topic of this film is written multiplication. Pom and Wally learn in a playful way how written multiplication works: There are several questions from Pom´s everyday life that can be answered using the arithmetic method. Viewers understand the basics of multiplication thanks to various examples.
In this video, Pom and Wally learn playfully how to do written division. In vivid situations from Pom´s world, we'll explain how written division works – with small and with larger numbers. Sometimes there are remainder numbers, and sometimes Pom must calculate how often one number fits into another number.
During his holidays Pom works on a farm. Today he has to tell the farmer how many eggs are left to be sold. Pom figures out that he does not have to tediously count them. He can also calculate the number of eggs by writing it down and adding them up. Pom explains to the talking pitchfork Misty how written addition works.
This video explains how to calculate the volume and area of a cuboid. Units of measurement such as cubic centimetres, cubic metres and litres are derived and explained. The film shows some example calculations for different sizes and takes a closer look at the cube as a special form of the cuboid
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.