Do you want to learn the areas?

-

Hi guys! Today's post will be dedicated to the areas. These aspects are essential in terms of learning geometry as areas are applied in many situations in real life, for example, agriculture. The farmers need to know the area of their lands in order to divide them and be able to know how much land is avaliable for planting and measure it. 

First of all, we need to define what area is, so the area is the amount of space occupied by a two dimensional figure. The standard unit of area is square units as areas are the total quantity of squares that belong to the surface of a closed figure. In other to calculate the areas of different figures, we use a formula and it depends on the figure, here you can see the differences: 



This infography shows how each figure has its own area formula, which are very easy to apply if you follow the correspondent one. 

Now let's talk about how to calculate an area of an irregular figure. As you can see in the image, regular figures are very easy to identify because each one has a different and original shape but what happen when the shape does not correspond to any to these ones? 

  1. First step: you have to break the prinicipal figure into smaller and known ones as the figures that you can see in the infography. 
  2. Second step: Calculate the area of each divided shape, using the correspond formula. 
  3. Third step: Add every area result in order to get the definitve number. 



Let's practice with this shape. First of all, we have to identify other figures which are a rectangle and a trapezoid. Then we have to measure all the sides and apply the formulas, regarding the rectangle we have to know the heigh and the base and then multiply them. Lastly, regarding the trapezoid, we need to measure the base 1, the base 2, the height and multiply them, the result must be divided by two. 
Finally, both results must be added and that would be the final result of the are of this irregular polygon. 

Here you can fins a video about how to calculate areas of irregular olygons exaplined in detail: 




That is all for today's post, I hope all the information and the infography is useful for you. I will see you soon!

References: 

Cuemath, (s.f.). Area. https://www.cuemath.com/measurement/area/








Comentarios

Publicar un comentario

Entradas populares de este blog

Let's practice length exercises!

-
Imagen
  Hello guys! In today’s post I am going to talk about length and how to work with it in a classroom.  First of all, length is a physic magnitude which we measure the distance between two points with. Its principal unit of measure is the metre but it is composed by this units:  This is the metre scale, we use this as stairs because it is more visual and easy to remember for the kids. Each step is a change of measure, when the steps are for going up, the measure loses quantity but when the steps are for going down, the measure acquires quantity. In order to understand this scale, kids only have to think as if they were going up or down stairs, this way they will easily remember the different calculations that they have to carry out.  In order to practise length exercises, here you can find some examples depending on the difficulty level:  Level 1:  Peter’s pencil measures 15 centimetres. Ana’s pencil measures 10 centimeters. How much longer is Pedro’s pencil...
Leer más

Did you know about triangle different meanings?

-
Imagen
Hello everybody!  As my second post, I have created a presentation about a curiosity of the triangles. These shapes have developed a very important role during history because the first studies of the triangles began 3000 years ago.  There are plenty of studies about triangles as it is a very interesting figure because it has a lot of areas that can be studied. Also, this shape is the protagonist of different theorems so it presented many challenges to mathematics along the history of maths. For this reason, triangles has been given different kind of meanings during all this years, would you like to know them? Here you can access to the presentation:  https://www.canva.com/design/DAGkH0Dj8q8/W4_foUvc9YojYNCZMAf6BQ/edit?utm_content=DAGkH0Dj8q8&utm_campaign=designshare&utm_medium=link2&utm_source=sharebutton Here you can find a video about triangles' meanings:  That is all for today. Thank you so much, I will see you soon! References:  Bravo, D. (2023)...
Leer más

Symmetry and iconic buildings.

-
Imagen
 Hello guys! Today's post will be about how geometry has influenced the creation and construction of several emblematic buildings during history.  From the ancient civilizations to modern skycrapers, architecture has been always a tangible expression of geometry. Shapes, proportions and symmentires not only beautify the strucuture but also define its stability and function. Geometry has been used foe centuries to create structures that are balanced and resistant, it is not a coincidence that many of the most admirable buildings in the world are based on geometric principles.  Here you can see some examples:  The Eiffel Tower in Paris.  This ionic building situated in France, is a clear example of axial symmetry which means that if you write a line in the middle of the monument, each part would be almost identical. This parts are called mirror images because it is represented as a mirror reflection.  How can we show the symmetry of the Eiffel Tower in class?...
Leer más