# 2nd Grade Bridges Curriculum, Unit 6 - Geometry

## High School / Math / Geometry

Welcome second graders to our 6 week of remote learning. We are going to start here with our math PowerPoint for this week. We are starting on unit section at 6 geometry. Before we left school, we were already dipping into geometry a little bit with number corner. I don't know if you guys remember. We had those geometric figures posted on our number corner. Corner. So I hope you remember a little bit of that. I'm going to go over a few things here. We have a few anchorage charts for you to help you. This is going to help you throughout the whole unit 6. So you will see the same anchor shots coming back to you. In the weeks to come, as we finish unit 6, okay? First anchor shirt that I want to talk about is the polygon. Sorry. Oh, there we go. That will work. Sorry. The first agent shirt is the poll again. So the polygon, a polygon is a two dimensional shape. Flat shape, okay? That has all of the sides are straight. So let's see this neck and for example, all of the sides are straight, and it is a flat bang, okay? It does not have a third dimension. It's just the dimensions you can see length and what. We can draw two dimensional shapes like this. It's got length and it's got wet. Or length over here, I should say, and width over here. Okay? So you can add or you can measure just two of those dimensions, okay? So you have triangles, you have quadrilaterals, Pentagon, hexagons, haptics, optical decagons. All of those prefixes try, meaning three, it's got three sides, quad, and I've talked to you guys about like a motorcycle with the four wheels, plot means four guava for. So you have your one two three and four sides. Penta, Penta is 5. Pentagon, you have 5 sides. There we go. We have 5 sides on The Pentagon. Hexagon, I like to remember that 6 and X and X and X is one that reminds me that hexagon has 6 sides one, two, three, four, 5, 6 sides. All of these have to be straight edges, okay? And they have to be closed shapes. They can not be open, like my triangle here. They have to be actually closed. Heptagon heptagon 7 hat means second 7 so that these have 7 sides, up like an octopus that has 8 legs off is an octagon that has 8 sides. Nona Nonna is the prefix for 9. Those have 9 sides. And deca deca gone decagons are ten sites. Let me trade deck, I mean ten. Second grade, we're not going to go as far as to take a gun. Probably. So you will see triangles and quadrilaterals. And those two specifically are very have very specific shapes in them that we actually need. Pentagons hexagons and so on, they are just pentagons and hexagons if it's got 6 sides. It's a hexagon no matter what type of hexagon and Pentagon so if it's got 5 sides, there are all pentagons. Now quadrilaterals are triangles, they're a little bit specific. So I'm going to move on to that in just a second. I do want you to go onto these two can academy videos. They are very important for you to learn about politics. They are going to explain it in a little bit deeper than what I just did right now that I'm giving you an overview. On our next one, we have our quadrilateral squad meaning for all of these shapes have four sides. We've got a square. And that drawing very nicely here with my pen is square. So this square has all four sides are equal. It's a flat surface, so it is a polygon because it's flat and it's got four equal sides. The rectangle has two pairs of equal sides. Okay? You got a rhombus. That is a little bit slanted. It does not have a rectangle has to have a straight edge over here. It's going to happen. We call that a 90° and you'll learn about that later on. But it has to have a straight edge, whereas the rhombus does not. A rhombus is slanted. Parallelogram is kind of like a rectangle as well, but it is lantern. Okay? No straight edges over there. And the trapezoid you have two equal sides, a longer one at the bottom and a shorter one on top. Not always there are some trapezoids that are a little bit different. It just has to have at least one pair of parallel lines. A parallel lines voice and girls is aligned that goes together. They run the same length. They will never no matter how long you extend this line and how long you extend this line given that they're straight lines. I'm not drawing the very nicely here. No matter how long you extend those, they will never, ever, ever cross each other, okay? If I do one a little bit slightly here, if I a little bit sideways over here, if I extend it, it will even also it will eventually cross this one, okay? So that would not be a parallel line. Parallel lines are lines that will never, ever, ever crossed. Okay? Again, can I kind of make a video? It will explain all of the quadrilaterals. And it will help you understand it a little bit better. And you have your anchor sharp two referred to over here. Triangles, triangles are a very, we have three different types of three different types of triangles. There we go. First up, we have the equilateral eggy. Equal equal. Kind of sounds the same. It means that it's got three equal sides. These two this sides are all equal. In this case, all of them measure three in its long. Okay? They are the exact same length. And if these two lines over here, boys and girls, that shows you that those are the same length. If you notice on our next one, it's called isosceles. It's got at least two equal size, okay? So this one is equal to this one. That's why they both have two lines. And this one is different. So it's only got one line. These two are the same distance. The same size. And this one is a little bit different, okay? That one's called the isosceles. Lastly, we have my favorite this scary scalene. We call it scary because none of its size are equal. Okay? So you have one over here that's different to this one over here and that's different to this one over here and in this case we have one line two lines and three lines to show that they are three different lights, okay? Again can academy video can explain things amazingly beautiful you will understand it. And if you don't understand it, you can rewatch the video very, very helpful for you. And if you don't understand it, you can always call us. Our email us. Let's next one. Three dimensional shapes. All right, so three dimensional shapes. Why do we call it three dimensions? What is that? Well, I was saying two dimensional shapes, so you could, you could do length by width, right? Well, a three dimensional shape also have depth. Okay? So when you have a three dimensional shape and I'm going to attempt my best here to draw it when you have a three dimensional shape. Oh, that turned out pretty cool. You have length, you have width, and you have the third dimension that is depth. Or is called also length by bite. I blanked out on it. Well, let you know, Khan Academy will let you know. I will come back to it. Okay, so you have your cube. You have your sphere. You have cylinders, and you have cones. We call the flat surfaces, a flat surface. I'm going to take my plant over here. This is a flat surface, okay? Those are the faces. A flat surface is a face. Where the flat surface is meet you have the edges. Okay. And where the edges meet, you have vertices. Okay? So the vertices remember the upside down, the upside down V, the vertices will make a corner. So a cube has 6 faces, and I have this rather cube looking plant holder thing here. So one, two, three, four, and let's say this was flat over here as well. 5. Well, I counted one, two, three, four, 5, 6. There we go. Okay, so you've got 6 faces. And let's count the edges. Well, I mean, the vertices we have one, and this corner, two, three, four, 5, 6, 7, and 8. So we have 8 vertices. Edges, which are not shown over here, are these swirling worthy faces meet. So encourage you to count them. These are the edges. One, two, three, four, 5, 6, 7, 8, 9, ten, 11, and 12 edges. One, two, three, four, 5, 6, 7, 8, 9, ten, 11, 12, I think I counted that one choice. Well, you get the point. I hope. So this fear, because it does not have a flat base, it has no faces, okay? And it doesn't, the faces can not meet. So it has no edges. And the edges can not meet, so it has no vertices. Okay? A cylinder, a cylinder does have a take my pepper shake your hair, which is not a straight cylinder, but you get the idea. You have a face over here that is flat, and another face over here, that is flat. So it's got two faces. This one over here, I used to think it was called another face. And I think I might have taught me that wrong before. So I want to make sure that you've got it right now because I just got, I just learned that. You guys know, we learn with you. So this is not considered as face because it is not flat, okay? So it does not have three faces like I thought before it has two faces so it's got one and two faces and we have two edges one edge and two edge. The edges do not meet. So we do not have. We do not have any corners, any vertices, okay? And the cone cone. Has the face at the bottom that is flat, and then you have the it does not have a vertice because you don't have edges. This face over here that is not called a face. It is making. How do I say this. It does not make an edge. It does not. I would have thought that this is a corner, but they are not edges, so the corners are the vertices are made by the edges. This is the vertice. So because this one does not have edges meaning it does not have a vertices. So that is not a vertical over there. Pan academy will give you a little bit more information on that one. All right? All right, so here we have fractions, fractions are when we talk fractions we're talking about splitting things into equal parts. And that's a very, very important concept. It has to be equal parts. Equal parts. If you don't have equal parts, you're not talking actual fractions, okay? They have to be equal. So let's say you went over your hungry order in a whole pizza. And you were very, very hungry and did not give any to your family good luck with that. So you have the whole. The whole big set of all to yourself. Well, it's one hole. Let's say you and your best friend are eating the pizza and you're very nice to your best friend. So you're going to give her or him exactly one half of your pizza so you guys are good in that piece of down the middle. Exactly one half. So each one of you is going to have one piece of the two pieces. Okay? So we're talking one half the two is how many pieces how many many pieces have many pieces or share or parts are in the hole? In this case, we cut it straight down the middle. So we have two pieces, right? And each person this number up here that numerator is going to tell you how many how many it that one part is it is. Okay? How many of those two you have, okay? So let's say we split it in three equal parts. Now you're eating this with your two best friends or your best friend and you're awesome T-shirt, right? Thank you for including me. I really appreciate that. So you have your three equal parts over here. So you're going to all eat. One piece of the three pieces of that pie or a third one third of that. Each one of you is going to eat it. Now let's say misses Sarah here is really hungry and I am going to a two thirds of that. So if I do this and I eat all of these while misses Herrera was really hungry and she ate two of the three pieces and just left here with one of those three pieces, okay? So that's how you get one third or two thirds, okay? How many parts did I eat or how many pirates did I shade? Over there. Out of the many parts that are on the whole. Okay? I hope that makes sense. But right now we're talking we're going to be just talking about the one part of that let me erase this here. We're just going to be talking about the one part of those three, okay? So we have one third. Then over here we have one fourth this time. We're splitting it in force. We can split it into 6. We can split it into 8, okay? We split it into 5. Sure. Absolutely would be one 5th. And one 6th, and one 7th, and one 8th, notice how he's got the TH at the end. Okay? Fourth, 5th, 6th, and 7th, and 8th. Okay? My Spanish tongue that's really hard for that to do that. So bear with me. Important thing here, equal parts, all right? Go on to this three awesome Khan Academy videos that will explain this a lot better than what I am doing right now. All right, next up, what are you doing this week? Well, this week you are going to start with some of the pages that were sent to you. They started going to be on your packet that you picked up from school, okay? On the packet, you have pages one 29 to one 30 of your home connect is going to save place value on wheels, all right? What you're doing here, you're taking your whole number that you're reading it. Okay, say 32. Well, then it's the same thing as let's split that. Well, that is the same thing as a 30, which is your tens. Plus two, wishes your once column, okay? So you're taking, I'm going to take this example over here, you take a 56, and the 56, if you're looking at your ones, and your tens, okay? You have your ones and your tens. Well, the 5 on the tens is 5 tens. So that is represented by that 5 tenths represents 50. And this 6 is on your once column so that represents 6 ones. So it's only represents 6. So you have 50 plus 6 equals 56. You guys get the point I'm sure. Over here you'll find in the sum, and you can do that, I think you're all capable of doing that one. Over here, your circle in the correct answer, where is the 5? And the 581? Well, and sit in the ones place. Let's see, 581. Let's see my place value. We have our wands. Our tens and our hundreds. Okay? Which place is the 5 8581? Well, that is here on our hundredths place. So let's place tens place hundreds place. You circle that one. Get it? I hope you're saying got it. All right, number four here says there are ten bikes and 6 cars in the school parking lot. How many wheels in all your work? And I actually giving you a little bit of a drawing here. Well, I recommend you draw it out because over here it's just showing you two wheels to that to the car. And we know that cars have how many wheels? Four wheels. So you have one car here with four wheels. And you got to have ten of those. Oh no, you got to have 6 of those, okay? And then you're going to have ten of the bicycles. Continue doing your drawings. And then count up. How many count by forests come by twos, add them up, all right? You guys can do that. When you have a challenge question and you know these challenges are a little bit hard, you might need mom arm decks help for this one. Or brother or sister. It says then some more somewhat. Oh, so wagons. And tricks. Wagons and tricks on the playground. In all, he saw 20 7 wheels. Well, wagons, how many wheels do I have? I think black and south four and try try try. We have that try like triangles. It's got three wheels, each one of them, all right? So how many wagons and how many tracks did he see if there were 20? 7, 27 wheels in all. It says here there are two possible answers. Can you find them both? I'm eager to see what you guys come up with that one. All right? Now what is definitely a challenge? All right, so that is what you're doing for Monday. Let's move on to Tuesday. On Tuesday, you have a home connection pages one 31 and one 32. Those are also on your packet. This one's less shape in wins. So this is a game. This is a game you're going to play with someone in your family. And what you're going to do, you're going to decide who goes first and who goes second. Then you're going to take your turn, coloring, the shapes. You may call our in one or more of the triangles to form one of these shapes. Can I color all of this? Well, that's not one of the shapes that they're telling me there. So no, I can not. I can not color all of that. So here goes Mattel, my son Matilda and he decides to call her this shape in. Perfect, he calls that one end. Then I go, I'm going to show screen. You guys know that green is my favorite color. I want to shape in a bigger one. I'm going to shaping this shape over here. So I see it's got one, two, three, four, 5, 6 triangles. So it's got three triangles, one, two, three over here. And then the three triangles on the bottom. So I shaped that big shape over here. There we go. And you guys will do this with your family. Now, Matteo goes and shades, does this shape kind of likes that one. So he'll take this one over here and this one over there, that does that shape, right? And so on and so forth. Now, who wins? The one. The winner is the player who gets to complete filling the game board. So the whole game board. So the person who wins is the one that takes the last shape, okay? So maybe the last thing that's left is this triangle. Everything else is colored in. So that's the one triangle that I might call it, okay? So the person that wins is the one that does the last coloring on the whole thing. All right? So that'll be something fun for you guys to do. And you can do it with your family. On also do a little bit of. Reflex math, remember I want you all getting that 100% on your reflex math. On your effects. And do some math to some prodigy, okay? You guys always have those abilities to do those. All right, let's see, I'm Wednesday, you have another kind of game ish thing. And these are also on your packet. So you will have these two shaped cards, which caught them, mix them up. The first that what you're going to be doing is doing some riddles, okay? So it says my shape does not have three sides. So it can not be a triangle. Because it does not have three sides. So all of those triangles no, it can not be this one. It can not be this one. It can not be this one. It can not be this one. Any other triangles here? Okay, my shape has four corners or vertices. Okay, this one has more. This one has four. This one has more. Let's see this one looks more. That one doesn't work. This one doesn't have corners or vertices and this one doesn't either. So, we're looking at a quadrilateral, right? So the sides of my shape are not all the same length. Okay, so we can not be a square because the square has all the same length. Oh, the deck of them can not be either. Let's see. Only two of my sides are parallel. Only two of my sites are proud. Well, let's see this one spiral to this one. And this one's parallel to this one, so that one can not work. This one's parallel to that one, and this was parallel to that. What so that one can not work. This was parallel to that one. This one is not parallel to that one. Oh, could it be a trapezoid? That's continued, let's see, this one's parallel to those one. This one's probably up to this one. That one can not work. The sewer palo, this sort parallel, that one can not work. This two are not parallel and these two are parallel and that one is another trapezoid. So guess what this is? A trapezoid. So this is very fun. It's going to be fun for you guys to do. And you can actually continue working with this on this digital resource down here. That is a digital resource from bridges so you can click on that and it will help you get a geo board so you can create your own shapes over there and maybe someone at your house can do some more riddles for you. And you can create your own shape. So that's pretty much how you're going to be doing that one. That's on Wednesday. On Thursday. On Thursday, you're going to be doing pages one 33 to one 34 on your packet. And this is taking you back a little bit onto fact families, okay? So you have your Unix cubes here. And three, well, how many one, two, three, four of them are shaded and 7 of them are not. So first thing you're going to be doing here, the easiest way to build these boys and girls. Let me start over here. The easiest way for this for you guys to know what triangle or what family is on this is to count them all. So this one has 11. One, two, three, four, 5, 6, 7, 8, 9, ten, 11. Okay, so we're going to be looking at our top number here. Which one has 11? What this one, right? So we know that if we have four, because that's our shaded. Plus 7 are not shaded equals 11. Now we're going to do our commutative. We have our 7 plus four equals 11. Then we're going to subtract 11 and take away four equals 7 and 11 take away 7 equals four. So you're going to be doing that for ABC and D over there. Notice there are two 13s here, so you get a check how many are shaded so that you have the fact that the correct family. On number two here, you're counting money and we have been doing counting money before. So how much is this? If you need, you have your money anchor shot from last week. So do refer back to that. In a minute. Jewelry refer back to the anchor chart from last week where we have money, all right? So that you can tell how many cents each one of these is. Un number three here, you have Maria bought some shapes. Add this shape store. She used all of her shapes to make the picture. How much money did she spend and show your work? So they're telling you up here a number two. That is square is worth this much. A circle is worth this much, and a triangular is worth this mush. So now you're going to tell, um. This is a square. Another square is another square, another square. Oh, don't forget that one. So there's 5 of those squares. Add them up. There's this circle added up. There's the triangles, okay? So you're adding up all of the parts of that shape to see how much it costs Maria to build that shape. All right? And then a number four, this was pretty cool. You can build whatever you want. And it says use squares circles and triangles to make a picture that is worth 48 cents. Now you can only use 48 cents. So be very meticulous to be very careful, what are you going to do? All right? So have fun with that one. And that's Thursday. Let's move on. On Friday, this is we're moving on to area. And we've talked about area before. You have area, the area is all of that area, and inside of a shape. And we can count that up and we've talked about this before kind of like this. When we have rows and columns, it becomes first. Here's the rows. So we have rows and columns, and let's say each one of those is worth one. So we can count, then we'll have one to three, we have three here, and we have one, two, three, four, 5 over here. Okay? So we can say this is three plus three plus three plus three plus three. Or 5 plus 5 plus 5, so this is worth 15. This has 15 units. Squared. I think you guys remember this from a few months ago. We've been talking about this, okay? So now instead of having a nice shape, like a rectangle, this one has odd shapes. These are not a very straight rectangular shape. So I wonder. What type of shape would this be? How many sides does it have? You guys want to find out, let's see, I'm kind of curious myself. One, two, three, four, 5, 6, 7, 8, 9, ten, 11, 12 sides, so decagon is ten. I wonder if someone can tell me what a 12 sided shape is called. All right, I'll leave that there. Moving on to what it is that you have to do. So it says here, this, if the area of a triangle is worth one unit. So just like I said here that this was worth one unit here. They're telling you this triangle is worth one unit. Okay, what is the area of each shape below? And be sure to prove your answers. So what you recommend to your boys and girls. You're going to be drawing that triangle. Well, there's one triangle there. I'm going to be drawing them here to triangles. That one's a little bit bigger than me. Erase and we do that one. I have my second triangle here. Okay. So maybe I can cut my shape here and try to figure out how many more triangles does this affect. Maybe I can do this. Well, there's three triangles here. And you can do this. There's three mole triangles there. And maybe here, right? And then I can finish my triangles over here. Does that make sense? I think so. Let me do this one because that one does not look very nice. Let's see. Up over here, up over there, and then down over here down over there. Okay, now that I have all of my triangles in there almost all of them the same size. Another thing you can do is cut this triangle out and put it in. Basically. And then you get to count them. Let me use a different color here to count them. Let's see one, two, three, four, 5, 6, 7, 8, 9, ten, 11, 12, 13, 14, 15, 16. So this is a 16 unit shape. Okay? Does that make sense? I hope that makes sense. So you'd get to do the same thing with the rest of them. All right, now be very careful. You have a very open area of these. You have very open areas of these. So be careful be meticulous if you need to cut out that triangle and just use it to draw your triangles in there. Go ahead, cut it out. Okay. There is a digital resource for you to do something very similar, and it is a bridges digital resources up here. Oh, let me change my color so that you can see it. It is up here. And that will take you onto a pattern shape. And it's really cool because you have a whole bunch of different patterns that you can choose from. And then you have different shapes that you can fill it in and see how many units are. So please do use that and have some fun on it. All right. And as always, you have the choice of doing reflex math and prodigy and Mac two. And of course, can academy that I want you to do. Those of you that have not reached your 100% on reflex mat, I need you working on reflex mat that 100% has to be there, okay? Prodigy is going to help you with your all level stuff and accelerated math two is going to push you. So use them. Okay? I hope this is a little bit more explicit and helpful for you than it was last week. If you do have questions, we're going to go over it on Monday with the whole class zoom and we're going to I'm going to be available for you guys so email or call us, okay? So please do that if you need to and I hope this was helpful. I'll talk to you guys later. Bye.