What are coordinates?

When writing coordinates of a point we always right it as..

Which of the following coordinates is the highest?

Which of the following coordinates is the lowest?

When the coordinates (3,5) are translated four right and two down what is the new coordinate?

Describing Positions on a 2D Grid as Coordinates Quiz

﻿Hi there. My name is Ms. Darwish. And for today's lesson, we're going to be looking at coordinates, the first two quadrants within coordinates, and looking at translating points and shapes across them. But first, before we get started, if you could just make sure you are sat in a nice, peaceful, quiet environment, ready to start today's lesson. Hi there. So for today's lesson, first of all, to start with, we're just going to recap coordinates just remind ourselves what coordinates are. And then we're going to have a look at what happens when we extend the X axis, we'll look at the first two quadrants. We're then going to have a go at translating some points across two coordinates. And then at the end, of course, there will be a quiz for you to do so let's get started with the lesson. Okay. You will need something to write with. Pencil, pen, sheets of paper, or if you've got notebook or an exercise book, and then a ruler. So if you want to go and get those things and then we can start. Okay. So let's remind ourselves of what coordinates are. So we've got a grid as you can see. The horizontal line at the bottom is called the X axis. Good. And then the vertical line is called the Y axis. Brilliant. So we have an X axis. We have a Y axis. And just to remind ourselves, why do we use coordinates? It's to help us identify where a shape or where a point is on a grid basically. Okay. So just a quick recap, tell me, come closer. Tell me what is the point? What are the coordinates of the point? Remember we solve the X and then the Y. So it would be four, three. Well done if he said that. Four, three. Okay. What about now? Can you describe to me where that point is? I mean, we could say it's off the grid. Would we know, would we be able to guess the X axis? A bit tricky. What about the Y axis? We can see that the Y is three, but the X, not quite sure let's come back to it. Okay. So the X axis is actually longer than maybe what you're used to. So here's an example of an extended X axis. What do you notice? What'd you think the missing number is? The missing digit. So the X access we've got nine, eight, seven, six, five, four, three, two, one, zero. Minus one, minus two, minus three, minus four, minus five, minus six, et cetera. So on. So now we've actually seen the extended X axis. We've got some positive integers and then some negative integers. Okay. Now we're going to go back to the point that I asked you about before. Tell me the coordinates of this point. Is it easier now? Still the same. Good. We start with the X and then the Y. So the X is minus two. Well done. And the Y is three. So the answer is this point has a coordinate of minus two, three. Can you say that for me? This point has a coordinate of minus two, three. Well done. Okay. Another one for you to have a go at. If you want to write this down, write it down. What are the coordinates at this point? Minus five, seven. Well done if you said that. Now let's do another one. So check the X axis. Is minus three. And the Y axis zero Minus three, zero. Well done if you said that. Okay. Let's do something a bit different. Now. I want you to get your finger and I want you to find me the point minus four, two. Minus four, two. If you found it, I want you to put your finger there. Did you get it right? Okay. So now that we found minus four, two I would like you to translate this point two right and four spaces up. So two right first of all and then four spaces up. Should we do this together? Let's have a look. So two right and four up. What's the new coordinate? One, two to the right, and then one, two, three, four up. And now we can see the new coordinator is minus two, six. Well done. Okay. So now we have seen how to translate some points in the first two quadrants. So when we've extended the X axis. Okay. Let me just move myself out of the way there. So plotted on the graph are two vertices of a triangle. Two vertices of a triangle. How many vertices does a triangle have, first of all? Show on your fingers. Three, two, one, show me. Three. A triangle has three vertices 'cause a triangle has three straight sides. It is a three sided shape. So, Now what you need to do is what could the third coordinate be? Have a think, what could the third coordinate be? Could be lots of different options. I want you just to write down one of these very many options it could be. What could the third coordinate be? Okay. Should I show you my one? One of the options could be where I've placed my X on minus two, five. That would definitely make a triangle. Right? If I joined these up with my ruler and a pencil, so I have straight lines, they would definitely, that would make a triangle. Let's see if there's another option. Another option could be minus two, six. What did you come up with? Maybe you can ask your parent or carer just to check. There are lots of many options. Okay. Now that we've had a go at translating some points, what I'd like you to do now is just complete the independent task for me. So for the independent task, what you're going to need to do is place an extra coordinate to complete a square. So it's a bit similar to the one we had with the triangle. So you're placing one extra coordinate to complete a square. And then, not just going to stop there. You're going to write down all four coordinates of the four vertices of the square. Okay. Should just be one option for this, not like the other one with the triangle. So remember if you are going to join them, choose a straight line and to write down all four vertices or all four coordinates for me, the coordinates of the vertices. And then if you come back, we can go through the answers. Okay. Let's have a look at the answers together. Hopefully you don't find those too tricky. So you are asked to place an extra coordinates to complete a square. And then to write down all four coordinates. So before we go through the answers, let's just remind ourselves and recap, what is a square? What is the square? It is a shape with four sides. It is a quadrilateral. It is a regular quadrilateral. And the word regular here for this question is really important because it means that we understand that a square has four straight sides and that all the sides are equal in measurement. Okay. So if I was to measure all four sides of a square, they would be equal when I measured them. And we have three of the vertices. So knowing that information would really, really help me. So I can then place the last and fourth vertice. Vertex. So where would it go? Okay. This is where it should go. So then if we just look at that square, we can check the distance between each of the four vertices are the same. Are they the same? Yeah. So now I want you to have a check on yours as well. So the missing coordinate that I've got is minus one, five. Can you see that? What did you get? Did you get minus one, five as well? Okay. Should we have a look at what the other, the other coordinates are? So, the other three coordinates, so the one that's highest up is one, seven. So one the X and then seven on the Y and then three, five. And then one, three. So if you just want to check those coordinates. So minus one, five is the extra, the missing one. And then one, seven. Three, five. And then one, three. Okay. If you would like to share your work with Oak national, then please ask your parent or carer to share or work on Twitter, tagging @OakNational and to use the #LearnwithOak. I would really love to see your work on coordinates. Now it's time for you to complete the quiz. But before I leave you to complete the quiz I just want to say a really big, well done on all the successful learning that you have done today. Be really, really proud of yourselves. Good luck with the quiz.

Quiz on the first 2 quadrants within coordinates

Which of the following statements is true?

If a coordinate of (0,0) is translated one space to the left what will the new translated coordinate be?

Which of the following coordinates is the furthest to the left?

If I translated the point (-6,2) eleven left, what would the new coordinate be?

If a square has the coordinates (-2,1), (-2,2) and (-1,1) what would the final coordinate be?

Describing the Position of a Point and Translating it Across Two Quadrants Quiz

In this lesson, we will extend the x axis so that we can investigate coordinates within the quadrants with positive and negative x values..

Maths

Y5 Maths

Key Stage 2

Year 5

Miss

Describing the position of a point and translating it across 2 quadrants using coordinates

Transformations

Geometry

THEME

UNIT

Identifying, describing & representing the position of a shape following a translation

Describing positions on a 2D grid as coordinates

Describing the position of a point and shape across 4 quadrants using coordinates

Using coordinates to describe position following a translation

Identifying, describing & representing the position of a shape following a reflection

Using coordinates to describe position after reflection

Reflecting shapes across the x axis and the y axis

Exploring missing lines of symmetry following a reflection

Exploring reflections and translations (Part 1)

Exploring reflections and translations (Part 2)

Exploring reflections and translations using coordinates

Identifying missing coordinates of shapes

Describing position following a translation with missing coordinates

Describing position following a reflection with missing coordinates

Which statement below is correct?

If the vertices of triangle A are (-5,3), (-5,1) and (-2,1) and the vertices of triangle B are (-5,-1), (-5,-3) and (-2,-3), which of the below best describes the transformation from A to B?

If we are reflecting a shape onto the x axis then which of the following is correct?

If the vertices A and B were both 4 squares away from the mirror line, then which of the following statements is correct when they are reflected?

If  a shape is reflected by a line of reflection along the x axis then which of the following is correct?

A triangle with coordinates (-2,-2), (-2,-4) and (-4,-4) is reflected first by a line of reflection along the x-axis, and then reflected by a line of reflection along the y-axis, what will the new coordinates be?

A triangle with coordinates (4,7), (4,1) and (6,1) is reflected by a line of reflection along the x-axis, what are the reflected coordinates?

Lesson overview:Describing the position of a point and translating it across 2 quadrants using coordinates

Core Content

Transformations: