Lesson video

Hi everyone, it's me.

Mr. C! How are you all? I'm so excited, we're actually at the last session today on our position and direction.

We've whizzed through it over the last few sessions.

This is the last one, single tear emoji, sad time, but I'm sure there'll be more great stuff coming up.

So just to remind you then, we're looking at positioning direction with the focus today on translation, and I'll go through our key learning in a moment with you, but to make sure that you've taken a knowledge quiz so that you're ready and warmed up with a maths brain, all engaged hope you did a great job there on your knowledge quiz.

Let's see what's coming up today, shall we? Well, before we do, here's something for you to think about, a little riddle for you.

When Rochelle was six, her sister was half her age.

Now Rochelle is 40.

How old is her sister? That is a common mistake lots of people make because they see this word here and use it incorrectly.

So let me just read through that to you again.

When Rochelle was six, her sister was half her age.

Now Rochelle is 40.

How old is her sister? Well, what can I do to help you, I wonder.

Well, first thing we need to know is how old her sister was when Rochelle was six.

That's going to help you with the rest.

I'm going to give you a few seconds just to have a think about that.

Couple more seconds.

Okay.

If you said that she was 20, you are not right.

That was the trick.

That was what was meant to catch you out.

Let me go through it with you just to make it really clear then.

When Rochelle was six, her sister was half her age.

What's half of six? Yeah, three.

So when Rochelle was six, her sister was three.

Now everybody ages at the same speed.

So when Rochelle was seven, her sister would have been four when she was eight, her sister would have been five.

And so on.

What's the difference between these numbers each time? What's the difference between seven and four, seven, eight, so six, five, four, difference is three.

How old was she now? Three.

What's the difference between eight and five eight five four - three.

Hmm.

So she's always three years younger.

Well, 40 take away three gives us? 37.

So her sister was actually 37 when she was 40.

Cause keep going, because if she was nine, she would have been six and if Rochelle was 10 the sister would have been seven.

They would have always had three years in between.

It's amazing how many adults will get this wrong as well and say 20.

So if you did, don't worry, you're in good company.

But if you managed to figure out it was 37 - Wowsers, that's super impressive.

So let's take a look at today's learning, shall we? You're going to need your pencil, your ruler, paper or book provided by the school, something to work on, worksheets if you've printed them, but don't worry if not and somewhere quiet with no distractions.

So probably not in the middle of a birthday party for Rochelle or her sister.

Okay.

So here's our outline for this lesson.

We're going to do our key knowledge quiz, which we did, and you did brilliantly in! Then Key learning and vocab in a moment numberfit to warm up, recapping on translation with our main translation activities and then a translation challenge at the end.

And look again, no final knowledge quiz, because I want you to go away and discuss your learning with someone at home.

So our key learning today: to describe movements between positions as translations of a given unit to the left, right, up, and down.

So our key vocab, I'm going to whiz through it.

I'm going to go from the bottom to the top today: up, down, left, right, Y axis, X axis, quadrant, grid, direction, unit, position, and translate.

Fantastic.

Alright, let's get it going.

So here is our numberfit for today.

It's like a crossword.

We've done them before, but it's got numbers, not words.

So take a look.

Where might we start? Well, look, I'm always going to say to you, look for the one with the least options.

Well, the one with the least options is six digits because it only had two options to start with.

And now we've only got one left because we got rid of the one that's already been put in, which was here.

So now I need to find the other six digit number.

Hmm.

Is it? Nope.

That's not quite done.

No.

This one is five.

There we go.

Look, there it is.

There's the six digit number and the only six digit number I had left was one, five, nine, three Oh four one five nine three Oh four.

I'm going to cross it out and then I'll get rid of all the six digits because I've used them all.

Which one might you look at next? Okay.

I would go here.

I've got a four digit number that ends in four nine.

Can't be that many of them.

Four that's four, six that's six, nine.

Ah, there we go, look! Four nine.

Seven, six, four, nine.

How can we fit in the rest of those? So, remember, my top tip is always the same.

My top tip is always make sure you find the one that has the least options.

That's going to really help you.

Okay? If it has less options than anything else, you can start filling them in.

So best of luck filling the rest of these in don't forget when you've done a whole section of numbers like I did with the six digits, get rid of them all so you don't confuse yourself.

Good luck.

Did you do yet another amazing job? I'm sure you did.

Let's check those answers and see if you managed to fit them in correctly.

Here come the answers - and you got them all.

I wonder if you're managing to get much quicker at these.

It's quite nice when you learn that you can speed up and you can be doing a really good job really rapidly.

Okay.

Let's move on, shall we? So just recapping then on what translation is, translation again is just when you literally pick something up and put it down somewhere else in the grid, you don't make it bigger or smaller.

So you don't resize and you don't twist or turn it, so you don't rotate it.

You just move it from one place to the next without making any other changes.

So I've picked up this shape and then put it down here.

I didn't stretch it.

I didn't flip it.

Okay.

So just to recap on how we can say that it's moved, we're going to talk about how it moves left and right, up and down.

So point A, to get to point B has moved one, two, three, four points right, and one, two points up, four right.

And two up.

Okay.

Simple.

I mean, can you show it like that? It looks like a coordinate, same layout, but because we're talking about moving right left up and down, looking at a translation.

Okay.

And there we are, four places right, Two places up.

Four, two.

So, before we go any further, can you work out the coordinates for each of these points? Now there is a value missing from our grid.

I'm going to put in our X and our Y axis, but there is a value missing.

There is a particular other point on our grid that is missing.

And it is in fact, this one here, that's our origin, remember.

So point A is how many along and how many up? point B how many long, how many up and so on.

Can you fill in the values of those coordinates? Remember the top tip to remember which way to do it is along the corridor and up the stairs, say it with me along the corridor, up the stairs.

Great.

So now that you've remembered that what are the coordinates for each of these points? Welcome back.

How did you do? Shall we check it out? So taking a look, remembering our origin, which is here, this is our Y axis and this is our X axis.

Checking out that you got them right.

X first, then Y, along the corridors, up or down the stairs.

Great.

All right.

Let's whiz ahead, shall we? Now this is where it's slightly tricky.

So let me explain and you'll be fine.

Now, if I imagine that we're going to follow this bit first, A to B, if I want to translate my shape from A to B, I have to go left or right, figure that out and then up or down, figure that out.

Okay.

So if my shape is moving right or up, it's a positive number.

If it's moving left or down, it's a negative number.

Okay.

We'll recap.

So A has gone one backwards and four up.

So I've gone one left, left, or that's negative.

So negative one.

And I've gone four up.

Up it's a positive, so it's just four.

Minus one, four.

Then if I want to move from B to C, how many long, how many up? I'm going right this time, so it's a positive number.

I'm going up this time, so it's a positive number.

Okay.

So I've moved from A to B.

Then I've moved from B to C.

And then what about if I move from C to D? I've gone along, so the right - positive, but I've had to go down - negative.

Okay.

So a to B, B to C, C to D, D to E and so on.

And the big final one is from G back to A, what would I have translated for the final one? Looks tricky, but honestly, it's not.

Remember the key things to remember: if I'm going to the right or I'm going up, then it's a positive number.

If I'm going to the left or down, then it's a negative number.

Okay.

I think that makes sense.

Right.

But I'll leave that on the top of the screen to remind you.

So give it a go.

See what you can work out from here.

Not as hard as you think, A to B, B to C, C to D and so on.

Give it a good go.

And if you need to pause, go for it.

Welcome back.

How did you do? Let's just look at some of these together then, shall we? So I'm going from, we've done A to B.

So let's look at B to C.

I've gone one, two along and one, two, three up.

So I've gone two to the right and three up.

From C to D I've gone one, two to the right.

And one two down.

Now, down is a negative number.

From D to E I've gone one, two, three to the right, right, it's positive, three to the right.

And one up, up is positive.

Brilliant.

So three, one.

From E to F I've gone one to the left.

So that's negative.

So negative one.

And I've gone.

One, two, three down.

Down is also negative.

So minus three F to G.

Hmm.

Have I gone - Oh, I haven't gone along.

So what do I write here? Must be a zero.

Cause I've stayed in the same place.

And one, two, three, four, five, six up, six up, up is positive.

So it's six, zero six.

And then from G to A one, two, three, four, five left.

So that's minus five, and one, two, three, four, five, six, seven, eight, nine down, down is negative.

So minus nine.

Not as hard as it looks.

So let me just neaten those answers for you because at the moment, I think mine are a bit messy.

Checking them over.

So remembering right and up positive numbers, left and down negative numbers.

Brilliant.

You've got this.

You've absolutely got this.

So keep that in mind.

Right and up positive, left and down negative.

So let's move on to the final bit, then.

This is our challenge.

Here it comes, you ready for this? Okay.

Look at this.

A, B, C, D, E, and F.

These are all the final places where things landed on after we translated them.

We need to figure out where they started.

This is where they finished, but where did they start? So let's look at point A.

It says point A moved two spaces left and two down.

We need to remember each time to do the inverse or because this is the result after something has happened.

So if it moved two spaces left, so two that way, and one down, we need the opposite.

So what's the opposite of left? What's the opposite of down? So now I'm going to move two spaces right and one space up.

So that must have been where it started.

Let's just check.

It had to end there after doing two spaces left and one down.

So one, two, one - oh, look.

So the opposite, the inverse has worked! Two to the right and one up.

So then I would write out my starting coordinates.

So this one started at three along and two up, can you do the same for the rest? Remembering if it says left, you do the inverse, which is right.

If it says up, you do the inverse, which is down and so on.

It's not hard.

It just means that you have to think slowly around it.

So just test you were doing the inverse.

If I told you you had to go right? Yeah, you would go to the left and so on.

Okay? So give it a good go and let's see how you do.

So, pause it.

Give it a go and come back in a moment.

Whenever you are ready.

How was it? Now, keep your eyes peeled.

I've left for you some deliberate mistakes that I want you to try and spot.

So have a look here.

Here are my answers.

Can you spot any deliberate mistakes? So point A has moved two spaces left and two down.

Two spaces left.

So I've got to go two spaces right Two down, that's two up.

So three, three, whew.

Point B has moved three spaces left and two up.

So now I'm going to go three spaces right And two down one, two, three, one, two.

So now I'm five along and five up, good.

Point C has moved one space right, so I'm going to go one space left, and three up, so I'm going to go three down: one two three.

So I'm now six along and zero up.

What should this one have been? Check it.

Three, three.

Good.

All right.

Now, then.

Now that you've managed that, I wonder if you can do a little more of the same.

Here we go again.

Four more for you to have a go at.

Three more for you to have a go at.

It helps that I can count, doesn't it.

Give it a go, exactly the same.

Here we are, let's take a look then at these answers and we'll work them out together, shall we So, point D, it says, has moved three spaces right and none up.

So instead of going, right, which way should I go if it's the inverse? Yeah.

Three spaces left.

So one, two, three, and it's moved none up.

So it's stayed on the same line.

So I'm now seven along nine up.

Seven, nine.

That's where it started.

Point E moved nine spaces up So I've got to do the opposite - down and one space right, that's one space left.

So nine down one, two, three, four, five, six, seven, eight, nine, and one, right there says, so we're going to invest one left.

So it's going to be here.

So three, one, and brackets around that.

And finally, point F moved four spaces down.

So I'm going to go four spaces up one, two, three, four, cause I'm doing the inverse and eight to the right.

So now I'm going to do eight to the left.

One, two, three, four, five, six, seven, eight.

That's my final one, so it's two along and one, two, three, four, five, six up.

How was that? How did you find it guys? It's all about just trusting in yourselves and knowing what you're doing.

Okay.

Which I know you do.

So just so you can double check.

These are those lovely, neat versions of the answers, not the version I just wrote because they were so scruffy.

The neat answers are those there, and without further ado, I just want to say, I think, well done for all your hard work in this unit.

Pretty short unit, but it was a fun one.

Well done.

You did a great job.

And from me, Mr. C, I'll see you next time.

Ciao.