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hi guys good morning as you know we must continue home for two days so I will explain how to do

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operations with segments good morning today we will start with segments operations okay for the

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task that you have to do you will need you will need a compass a color marker

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or a pencil marker and that's all and you have to print at home your post

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document in which you will have a lot of operations that you have to do if you

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don't have if you cannot print it don't worry you just have to try to copy the

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segments in the same way that you can see on the PDF so you can try to copy

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them draw them in a in in a worksheet and that's all and then you have to do

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okay so let's start first of all we must learn the difference between stretch

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line and a segment okay so a stretch line for example a stretch line we will

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have something like this okay stretch line is made of a lot of little points

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close together and they will we continue so far away a straight line has no

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limits what is that it's infinite has we we don't have a beginning and an ending

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okay and for a line we call a line by a letter for example in this case this

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could be air air will be the name of this line okay a segment for example a

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segment a segment is a little part of a straight line okay a segment has it's a

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It's a part of a stretch line between two different points.

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This will be the beginning and this will be the end.

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So, it's a stretch line with two edges.

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We will call the segment by these special two points.

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This point will be, for example, A and this will be B.

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usually we put a capital letter on the ages

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and we say, for example, this is the segment AB

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very good, so if we are writing

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if we are talking of a segment, we can say

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we could say, for example

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the segment AB, if we do that

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if we put a little line

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top right there this is how we say segment a b is like segment a b so this is the way in which

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we are going to name the segments right so now imagine that this is wait just a little bit

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This is segment AB. This is segment CD. And this will be segment EF. Okay? Very good. This is just for tell you what to do. Okay.

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There we have three different segments. Imagine that I tell you that you have to copy this segment on a long line. For example, this long line. For example, if I tell you, you have to copy every segment on the line R. How can we do it?

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Imagine, first of all, we must decide which will be the point for starting, which will be A.

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Sometimes I'm going to give you this point.

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For example, I will decide that this will be the beginning of the segment, okay?

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so and now imagine I have to take this segment and carefully we have to put this segment on the line

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do you understand okay do you understand so this little point this age will be a and here we will

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have another point that will be B so we have copied the A segment on the line

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do you understand perfect very good so now break now but you will have not

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pieces of paper this is just for explain what to do imagine that I tell you that

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you have to copy you have to copy a B segment on the line on this line that

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I'm going to draw in a moment you know that this point will be always a and now

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with a compass we must take imagine that we want to copy this segment there we

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must take the measure of a B segment with their compass okay this is a B okay

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and we must take the setting to our new line this first point is a so

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So, this last point, look at here, will be what? Will be V. So, as you can see, this part of the line, sorry, this part of the line will be AV segment on the line.

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A B segment is the same. Okay? Do you understand? I'm sorry, yes, breathe. So now imagine that now we

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are going to learn how to do a lot of operations with the segments. So today

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you will learn how to make an addition, a subtraction and a multiplication with

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segment is so easy okay so first we will start with addition

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break it imagine with addition wait a little bit there it is perfect so here

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Here we have these three segments, segment AB, painted with pink, segment CD, it's a purple segment, and EF, very good.

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We have these three segments, ok?

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And the first thing that we have to learn is how to make an addition.

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As you will see, it's so easy that you will have no problem, okay?

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So, very good.

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So, in the first operation, you must sum AB plus CD.

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So, first of all, we must take AB, put it there, okay?

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and then continue in the line you must put CD you will have something like this

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okay do you understand and this long segment from A to D this will be the

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result of the addition very good so let's continue with the compass very

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good so make so first of all let's take the setting of a B very good you have to

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take a B with a compass okay and a B with a compass and in the same way we

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have to put this distance on the line so as you know this first point will be A

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okay so we have to prick on A and go with the setting to the line in this way

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so if this is A this point will be B so if this is A this point will be B

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very good now we must continue summing cd you must take the measure cd the segment

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okay in this way so now we must put them together so we have to click on b and continue

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with the setting right there if this is i know that this is b but in the same way this will be

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c this point is at the same time b and c and this point right there you can make longer the line

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this point will be if this is c and this is this this will be b do you understand

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And I'm sure, yes, very good. So, in this way, this long big segment that I will paint it red, this long segment will be the result.

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So, AB plus CD will be equal to A, the segment AD.

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Very good.

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Great.

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Let's continue with the second addition.

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Great.

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So, now, we have to sum CD plus ES.

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So, in the same way, let's take the measure of the CV segment, very good, like this, wait,

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let me put straight the paper, very good, so, this is CV segment, so, in the same way,

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you have to click here and put under the compass, so, this will be C, look at here,

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This will be C and this will be D. Very good.

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Now we must sum EF to CD.

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So we must take this setting of EF to the compass.

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Very good.

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We must take this setting like this and we must put it there.

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this point will be D and will be F beautiful and this will be so the result

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of the addition CD plus EF will be this long segment okay and so we can say that

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CD segment plus EF segment will be CF segment it's really important to put

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properly the letters and to mark the results if you don't do that the

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operation will be not right okay so you have to paint the result and put the

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put the letters very good very good let's continue with subtraction we will

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continue in the same way more or less but we must change something for so we

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here we must subtract CD to AB very good so the first step that you have to do

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you have to take a B segment like this okay like this you have to put the

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segment on the line and then CD we must continue in the same way that in

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addition so if we want some cd we must put the segment then continue on the line but and we will

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make a big segment okay a longer segment but in this case we have to subtract cd to ab so pay

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Pay attention, we have to put B and C on the same point and, but, we have to go to the

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other line, like this.

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Do you understand?

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We have, if for subtraction we must prick on B and we must make longer the segment,

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now for subtraction we must go to the other side we have to prick on B so B

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and C will be again in the same point but in this case we have to go to the

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other side so look at here please this will be D so the result will be again AD

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the segment AV but in this case AD the result will be this little part because

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this little part pink that you can see there will be the rest okay very good so

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let's go with a compass very good so first of all you must take AV the

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segment av on the line very good so we must take the the segment av with the compass and we must

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break here on the first point that as you know always will be a here and if this is a this point

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will be B perfect so this is AB very good now we must take CD okay this is the measure of CD we

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have taken CD with a compass and again we have to trick on B so B and C will be the same point

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for addition we have to put CD then on the line but for subtraction we must go

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to the other side we have to make it smaller so this if this is C this point

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will be V and the result AB plus CD will be again AD so this little segment this

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small segment will be the rest will be the the result of this substructure okay

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Let's continue. CD, subtract, EF. Very good. CD, we have to take CD. You have to put here CD. We have copy CD segment on the line.

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and now we must take EF in this line okay perfect this will be EF and in the same

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way we have to trick on D because E is the first point of the segment EF so

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tricking there for summing the segment we have to make it bigger we have to go

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longer but in this case it's a subtraction so we must go we have to

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make smaller the segment so this point will be F so this little segment that we

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have here this will be the result so CD minus EF equal segment CF very good

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very good how can we do a multiplication is it's so simple that you will have no

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problem for example a B plus 2 a B I'm so sorry a B 2 times or 2 times a B this

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will be the way in which we say this operation a b two times we have to put a b and then you have to

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put a b again that's all let's continue with them with the compass very good so two times a b let's

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go we must take a b segment with the compass we have it perfect and freaking on the edge

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this will be a always is the same as you can see we have to freak with the compass on a and we must

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take the measure on the line if this is if this point is a this point will be b

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and then we must put again a segment break it so we have to click on b again

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if we are pricking here again this will be a again

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and you have to make a line if you don't have enough space on the line it doesn't matter

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you can continue the line with the ruler and that's all and this will be B in this case

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the result of the multiplication will be this really long segment AB okay

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do you understand perfect now CD 3 times CD in the same way we have to do the

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same thing we must take first of all we must take this city segment that is

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very good and this the this the beginning of the line will be C bring it

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and freaking here we must take once this will be V and at the same time will be C

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because now we have to prick here we must take the distance if this is C this

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will be D but we have to take the measure three times so this will be C

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again I'm so sorry I don't have enough space but do you understand how to do it

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do you understand it and so yes so very good that's all