22 December 2011

3D Drawings; Top/Side/Front Views

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so welcome to extra help from mr. E's

Channel and today I'm going to do a little bit of a geometry review so I made it kind of look like a crown because hopefully by the end of this you will be a king or queen at geometry one of the expectations in the Ontario curriculum for grade 6 students is that they understand how to draw an isometric drawing which is a two-dimensional representation of a three dimensional object so as you can see right here we have our three dimensional object constructed of linking cubes and some isometric dot paper if you wanted to practice this at home I would recommend trying out to the website incompetent eye n Co MP e te CH comm and you can actually generate a sheet of paper like this they have at that website there's a graph paper section so what I'm going to do right now is I'm going to show you how to draw this notice that my paper is not in the vertical orientation it's in the horizontal one because the arrangement the dots if you have it vertically it's not going to look correct so what I'm going to do is I have it angled so that my vertical lines are here here and here the main ones I'm thinking about right

now I have those facing directly towards towards the camera so I'm just going to take a corner at random to start from I usually like to start from a bottom of a vertical line because our vertical lines are the easiest ones to draw so what I'm going to do is I'm going to start from this corner right here the bottom corner bottom front corner of the pink cube and what I'm going to do is I'm going to put a little dot here indicating that's where I'm starting okay now I'm going to count up how high this block is and this block is one block high so on our page that corresponds to one dot next I am going to connect that with a straight line notice I'm using a straight edge here to trying to keep it neat okay and so that line that I've just drawn corresponds with this corner okay now the interesting thing about triangular dot paper or isometric dot paper is you'll notice that the horizontal lines are really far are really spaced quite far apart because what you want to be doing is you want to be using the diagonals to show your left's and rights you don't want it to be actually a

horizontal flat and that's a big problem that a lot of students have they end up making flat lines and they wonder why they're drawing doesn't look 3d it's because you're using a horizontal on you need to be using diagonal lines and you'll see in a few moments just how well it actually represents this object that I've created so next I'm going to go back to my starting point which again correspond to this corner right here and I'm going to see how far it is from here to here and again that's just one cube so I'm going to count out one space so I'm going to go to the next dot here put a dot and then connect them okay now I've bought now I've drawn the bottom edge that's that cube or that's that the face of that cube okay again it's one up from there and so that line that just what I've drawn so far actually is this this in this line okay and then I'm just going to connect the two dots at the very top of it and voila I've got the that whole face of that cube drawn next I'm going to go back to my original starting point and then I'm going to count out how far it is from here to here and it is two blocks so that corresponds with two dots

on your page so we 1 dot 2 dot dot dot here and then we just connect them and I've drawn that bottom side I'm going back to their original first line and I count in how many counting 1 which corresponds to 1 on the sheet connect those dots and then here we go 1 in and finally one back here it's really important that you count how far the blocks are and that's really going to help you out as you're drawing these shapes now rather than do this whole thing and record it because that would be a quite a long and boring video I'm going to pause it in just a second and then we'll come back to it just really quickly this corner right here again corresponds with this corner here how far out does it come it comes one out so we go in the opposite direction here and it should look like that okay it's one up at that corner so this line right here corresponds to this line here and I'm going to pause this and we're going to come back and I'll show you exactly how it looks in just a moment so now I've got my figure drawn as you can see I've chosen this side of the figure and I've colored that in red and I've called that my front side these ends I colored

I guess sort of greenish and I've called those the side view and then the orange represents the top of the figure okay so orange is top red is front Green is side this comes into play in just a moment when I'm going to show you how to do just a drawing of the top view and just a drawing of the front view and just a drawing of a side view so last but not least I'm going to show you how to do the top front and side views of an object now as you can see I've rearranged my camera so that we now see only the top or hopefully just the top of our figure and you'll notice that looks sort of like a sideways L and that's exactly what we're going to draw we're going to use our grid paper now to draw the top view of this figure so I noticed that it's two blocks right here that corresponds a piece this length right here by three blocks this way and I'm keeping the color consistent with my other drawing just to make a little bit more clear for you you can find that if you use color it's a lot easier to show which angle or which sides are which I really encourage students to do it in multiple colors or

at least in different shading patterns so that it's really easy for your teacher to see exactly what side is what so now we have our L shape but you'll notice that it's really flat looking and there's no way of that a viewer can see that it's 3d there is a way to show different height changes okay so this block is lower than this block same with this block is lower than this block so how do we show it we show it with a thick line where the the height changes so the height changes between this one and this one so the line between there we're going to make a little bit darker and the same with this one right here so notice I'm not showing where each individual block is the only lines that I'm adding are where the height changes so this is a low one these two are higher and that one's low there's no way of knowing that these ones are higher or lower than this until you look at the other view so I'm just going to label this top view okay next I'm going to flip it on its side until now we see the front of the object and I'm going to draw that right now so I'm going to keep the color consistent again and so we've got two blocks this way I'm going to

draw that okay two at the top there take one down there one over one down and then three over double check just to make sure so 3 2 2 1 1 1 and 3 2 2 1 1 1 just finish up my line here ok and then you can probably guess what we need to do now we need to indicate that this block is higher than the surrounding ones so again to show the altitude change or the height change we just make sure that those lines are marked and that's the part of you last but not least we're going to flip it on its side and that's the side view of it and so I'll get my aqua marine sort of color here and we'll put side view ok and you'll notice that just sort of looks like a backwards L 3 blocks so it's 1 here 2 here 2 up one over one down and one over and again last thing we want to do is we want to indicate that this block is at a different height than both of these and so we put a thick line here and a thick line there and those are three views now for someone who didn't know what type of shape we were looking at what you can do is you can use these views to assemble a figure so I like to start from the top it's just the way I do it so I'm going

to take these blocks and I'm going to make them I'm not going to care about the lines here and the height changes I'm not going to worry about that just yet I'm just going to get the overall shape which looks like this L okay so that's the top view I know that overall if I look at my object from the top it's going to look like that now we're going to flip to our front so I look at this now my front I say okay this must be how it's different in height from from the corresponds with this block right here so already I've got that drawn and what do I need to add to it all I need to add two blocks here so now I've got something that meets my top view which is my sort of L shape I've got something meets my front view and I'm going to go back and take a look at my side and do I need to change it I think no so that is exactly the type of shape that you will want or that you're looking for when you build this and thank you very much I hope this has been helpful this is a little tricky I definitely recommend coloring the sides of your figure differently so that you're able to more clearly show what your top front and side views are thanks

very much for watching have a great day