Lesson video

Hello, I'm Miss Miah, and I'm so excited to be a part of your learning journey today.

I hope you enjoy this lesson as much as I do.

In this lesson, you will write coordinates for already marked points in the first quadrant of a coordinate grid.

Your key words are on the screen now, and I'd like you to repeat them after me.

X-axis.

Y-axis.

Origin.

Lovely.

Let's find out what these words mean.

Now, the X and Y lines that cross at right angles to make a graph or grid are called axes, which is the plural of axis.

The x-axis runs horizontally left, right, through zero.

The y-axis runs vertically up, down, through zero.

The origin is where the x-axis and y-axis cross.

It has the coordinate pair (0,0).

Now this lesson is all about writing coordinates for already marked points in the first quadrant of a coordinate grid.

There are two lesson cycles in this lesson.

Our first lesson cycle is knowing how to write a coordinate.

We then move on to writing coordinates for already marked points.

Now writing coordinates for already marked points in the first quadrant of a coordinate grid can help in real life by giving us a precise way to describe locations.

For example, if you're planning a garden, coordinates can help you map out where each plant should go.

In sports, coordinates can track the position of players, or the location of a goal.

Architects use coordinates to mark the exact position of walls or doors, on a blueprint.

Even in a treasure hunt or escape room games, coordinates can help guide you to the exact spot.

So knowing how to read and write coordinates makes it easier to communicate and navigate spaces accurately.

Now in this lesson you'll meet Jacob and Sofia, who will be helping us with our mathematical thinking.

Let's begin.

This is a coordinates plane.

"This looks like grids I have seen before when I have translated shapes".

Now you may have seen this before as well when you were translating shapes.

"But this time there are two lines.

These are called axes.

The horizontal line is called the x-axis, and the vertical line is called the y-axis.

Now where they cross is the origin.

It's zero on both lines." Now coordinates are a way to tell exactly where something is on a grid.

"We can describe the position of the point marked with the dot using coordinates.

We count the number of steps or units, starting from the origin".

That is super key there, we always start from the origin.

I am describing the position of the point marked with the dot.

"Look at how far the point is from the origin along the horizontal x-axis.

Count the number of steps to the right of the origin." So let's begin.

0, 1, 2, 3.

"Look at how far the point is from the origin along the vertical y-axis.

Count the number of squares up from the origin.

One.

These values make a pair of coordinates.

You always write the x-axis value first, then the y-axis value.

We put the numbers in brackets with a comma between them.

This is how you write a coordinate pair".

So Jacob has another go.

"I need to write the coordinates for the point marked with the dot".

So again, we're going to look at how far the point is from the origin along the x-axis, we're going to count the number of spaces to the right of the origin.

So let's do that now.

0, 1.

So we're going to write one down.

Now we're going to look at how far the point is from the origin along the y-axis.

We're going to count the number of spaces up from the origin.

So let's do that now.

1, 2, 3.

"You always write the x-axis value first, then the y-axis value." And then lastly, we're going to put the numbers in brackets with a comma between them.

Now Sofia has a go.

"I need to write the position of the dot shown on the coordinates grid.

I count along the x-axis from the origin to find the x-coordinate".

So she starts off at the origin, let's count together, 0, 1, 2, 3, 4.

Now I count along the y-axis from the origin to find the y-coordinate.

So let's start.

0, 1, 2, 3.

"The coordinate is written with the x-coordinate first, then the y-coordinate".

We put the numbers in brackets with a comma between them.

Over to you.

Look at the grid below, which is the correct coordinate for the point marked by the dot? Is it A, (5,3), or B, (3,5)? You can pause the video here, and when you're ready, click play to join us.

B is the correct answer, (3,5).

Remember you always write down the x-value first.

And we know it's (3,5) because we start from the origin and we count along the x-axis first.

That is three, and then we count along vertically on the y-axis, and that is five.

So our coordinates are (3,5).

Now Sofia has a turn.

Is she correct? "I think the coordinates for this point are (1,5)".

Hmm, that's not quite right Sofia.

Let's try again.

"We need to find the coordinates for the marked point.

Look at how far the point is from the origin along the x-axis.

Count the number of squares to the right of the origin.

That's five".

So let's double check that.

So that's, 0, 1, 2, 3, 4, 5.

Now we have to look at how far the point is from the origin along the y-axis.

It hasn't moved up, and is in line with the origin.

So actually that's zero.

Now remember to write a coordinate with a comma and brackets.

So the correct coordinate pair here is (5,0), not (1,5).

Over to you.

You're going to look at the grid below, write down the coordinates for the plotted point.

The x-coordinate is.

The y-coordinate is.

You can pause the video here, and click play when you're ready to rejoin us.

So how did you do? Well, the x-coordinate is three, and that's because if we start off at the origin and then count along the x-axis, we count three squares.

And then when we repeat that for the y-axis, we count up four squares.

So our coordinate pair is (3,4).

Well done if you got that correct.

Let's move on.

We're going to start the task for this lesson cycle.

So task A, for question one, you're going to write down the coordinates for plotted points.

And then for question two, I'd like you to think about what you notice about point A and C.

You can pause the video here and get started.

Off you go, good luck, and click play when you're ready to rejoin us.

So how did you do? Did you remember the rule? We always write down the x-coordinate first, followed by the y-coordinate.

Let's see how we've done.

So for point A you should have got (0,8), and it's (0,8) because we don't have to move along the x-axis for this, because it is on the line.

So we write zero and then we have to count up eight squares, so that means our y-coordinate is eight.

B is (6,9).

C is (7,0).

And D is (9,8).

E is (3,5).

Well done if you managed to get all of those correct.

Now what did you notice? Well, A is on the y-axis, and that's because the x-coordinate is zero, and C is on the x-axis, and that's because the y-coordinate is zero.

Well done if you managed to get that correct.

I'm super proud of you.

Let's move on.

Now for lesson cycle two, what we're going to be doing now is writing coordinates for already marked points.

Let's begin.

Jacob and Sofia continue plotting points on their grid.

Jacob notices something, (2,0), (3,0), (4,0), (5,0).

The y-coordinate will always be zero if the dot is plotted on the x-axis.

Is Jacob's statement true? What will the coordinates be? So he says, "The x-coordinate will always be zero if the dot is plotted on the y-axis".

What do you think? You can pause the video here, and click play when you're ready to rejoin us.

So what did you get? This is true.

And that is correct because let's have a look at the coordinates.

(0,2), So the x-coordinate is 0.

(0,3), The x-coordinate is zero again.

(0,4) Again.

And then the last point would've been (0,5).

So all of the x-coordinates are zero if the dot is on the y-axis.

Now Jacob and Sofia are playing a game using the grid below.

They need to find the coordinates to spell the word, 'ant'.

"First, I'll begin by finding the dot for A." So it's circled there in green.

"I must find the x-coordinate first.

It's in line with two on the x-axis", and we can see that because when we count along two on the x-axis, it is perfectly aligned with A.

Now to find the y-coordinate, I need to look at the y-axis.

The point is in line with six.

So that's it, the coordinate for the letter A are (2,6).

Then I'll repeat the same for the other letters.

Hmm, over to you.

What are the coordinates for the letter N? You can pause the video here, and click play when you've found the coordinates.

So how did you do? Okay, first things first, we need to locate N.

Here it is.

Now, to find the coordinates, we need to then find the x-coordinate first, and that is 10, because we needed to count 10 squares along the x-axis.

To find the y-coordinate, we then had to count four squares up from the origin, which means the y-coordinate is four.

So the correct coordinate pair is (10,4).

Well done if you got that correct.

Let's move on.

Now, Sofia has found the coordinates of T.

Is she correct? She got (7,8).

Hmm, let's check.

First I'll begin by finding the dot for T.

I must find the x-coordinate first, it's in line with six.

Ooh.

Now to find the y-coordinate, I look at the y-axis and that's seven.

So the coordinates for the letter T are (6,7).

Sofia may have counted the origin, rather than counting on.

And that's a very common mistake.

We need to try and avoid counting the origin, we count from the origin.

Over to you.

Which letter has Sofia found the coordinates for? We've got the coordinate pair (3,4) there.

What do you think? You can pause the video here, and click play when you're ready to rejoin us.

So, what did you get? Our x-coordinate is three, which means we need to count three along the x-axis from the origin.

And when we do that, we are aligned with two letters, P and Q.

Now we need to count vertically from the origin, by four.

So let's do that.

That means Sofia has found the coordinates for the letter Q.

Well done if you got that correct.

Good stuff.

We're now onto the main task for this lesson cycle.

So, for question one, you're going to use the grid below.

And you're going to write down the coordinates for your name.

After you've done this, you're then going to write down the coordinates for your friend's name.

For question two, do you agree or disagree? And I'd like you to explain your reasoning.

So Jacob says, "If a point is located at (6,3) on a grid, the number six represents the y-coordinate, and three represents the x-coordinate".

Hmm, what do you think? For question three, you're going to mark the two points on your grid with a different colour.

Point A at (4,5), and point B at (6,5).

What is similar about these two points? And what does this similarity tell you about their locations on the grid? You could pause the video here.

Off you go, good luck.

Do remember that the x-coordinate is written down first, followed by the y-coordinate, and remember to count carefully from the origin.

Don't count the origin.

You can pause the video here, off you go, good luck.

So how did you do? So for this task, you should have chosen your name and written down the coordinates for your name.

Sometimes we have repeating letters like A or E in our names or our friends' names, so actually a top hack there would've been to just write down those coordinates again for those letters.

Now we have an example here, the name Jacob.

So, let's look at this in more detail.

We need to locate where the J is on the grid.

So I can see J is on the left side of the grid.

Now, the letter J is (1,7).

Then the letter A is (2,6).

And I know this because when looking at the letter A, I now need to count along two squares from the origin, so that it is aligned with that point, and then vertically A is aligned with six.

So that means the coordinates for A are (2,6).

Now C is (1,1).

O is (4,3).

And lastly B is (4,6).

And we know that because B is aligned with four horizontally on the x-axis and six vertically on the y-axis.

So that means four is the x-coordinate and six is the y-coordinate.

Well done if you managed to find the coordinates for your name as well.

Now for your friend's name, you should have done the same.

And again, if your friend had letters that repeated themselves, such as A, E or any other letter, you could have also used that top hack and wrote those coordinates again.

Just remember that the x-coordinate gets written first, followed by the y-coordinate.

Let's move on.

Now, question two.

Jacob said, "If a point is located at (6,3) on a grid, the number six represents the y-coordinate and three represents the x-coordinate".

Well, we wholeheartedly disagree.

And that's because the x-value is written first.

So the six represents the x-coordinate and the three represents the y-coordinate.

Now, question three.

You were to mark the two points on your grid at (4,5) and (6,5).

So the similarity between these two points is that both points are on the same horizontal line.

Now because the x-values are different, these points are in different places along that line.

The y-value however, is the same.

And that's five.

Well done, we've made it to the end of this lesson.

I really hope you enjoyed it.

Let's summarise our learning.

So in this lesson, you were writing coordinates for already marked points in the first quadrant of a coordinate grid.

You now know that the horizontal distance from the origin is recorded first, this is our x-coordinate.

You also understand that the points on a coordinate grid are measured from the origin.

You understand that the points have a horizontal and vertical distance from the origin.

And lastly, you understand that the points are marked where the lines on the grid cross.

Thank you so much for joining me, and I look forward to seeing you in the next one.

Bye.