Lesson video

Hi everyone.

How are you? I'm Ms. Mitchell.

And today in maths, we're going to be identifying how patterns have been created through rotation.

In today's lesson, we will be rotating shapes, rotating patterns.

You will then complete an independent task and then a quiz.

For today's lesson you will need, a pencil, some paper and also some colouring pencils if you have some.

Okay, so here I have a square.

And in then the top left hand corner is a green dot.

If I rotate the shape clockwise, a 1/4 turn, where would the green dot be? So remember clockwise is this way.

So the way a clock normally goes round and anticlockwise would be the opposite way.

So if I were to rotate the shape clockwise, a 1/4 turn, where would the green dot be? That's right.

It would move to the top right hand corner.

If I rotate the shape clockwise a 1/2 turn, where would the green dot be? So again, I'm starting in the top left hand corner.

I want to rotate the shape clockwise a 1/2 turn, where would the green dot be? That's right, it'd be in the bottom right hand, which is opposite to where it would be now, because it's a 1/2.

And we know that two 1/2 make a whole.

Now, if I rotate the shape clockwise a 3/4 turn, where would the green dot be? So we know here would be a 1/4.

Here would be the bottom right, would be the 1/2.

We know back up in the top left hand would be one full turn.

So where would 3/4 be? That's right, the bottom left.

1/4, 2/4 and we know that 2/4 is the same as a 1/2.

3/4, 4/4 and we know that 4/4 is the same as a whole.

Okay, I have a new shape here and this is called a semicircle.

Now a semicircle is just 1/2 of, a full circle.

Now, if I take the shape clockwise, a 1/4 turn, what would the semicircle look like? If I rotate this shape clockwise, a 1/4 turn, what would the semicircle look like? And here is the answer.

So what I like to do is I like to focus on one point.

So let's say, this point here.

I would start by moving this point, a 1/4 turn and then you know where the rest of the shape would be.

So this shape, this corner here, would come down to this corner here.

This is 1/4 turn.

I have my semicircle back to where it was at the beginning.

If I rotate the shape clockwise a 1/2 turn, what would the shape look like? If it was a 1/2 turn.

So a 1/2 turn is the same as 2/4 turns.

They are the same thing.

Well done.

So again, you could just focus on that point.

You move it 1/4 and then you move it a second 1/4.

And we know the second 2/4 is the same as 1/2.

If I rotate the shape clockwise a 3/4 turn, what would the semicircle look like? So again, try and focus on that one point.

What would it look like? What direction would my semicircle be facing? Well done.

And then if I did a full turn, it would be back to the first position that it was in.

If I rotate this shape clockwise a 1/4 turn, what would it look like? So this is a right-angled triangle.

It's got three sides and here is my right angle.

So try and focus on one specific point.

Move that point 1/4, what would the shape look like? Does your shape look like this? Now, I think the most distinctive point on this shape would be the right angle.

So I would choose the right angle to be my point.

And I would move the right angle 1/4 turn.

So I know the right angle would be up here.

So this point here has turned a 1/4, so it's now this point here, then you would be able to draw the rest of the shape.

Let's try a new one.

If I rotate the shape clockwise a 1/2 turn, what would it look like? Now, we know that 2/4 turns is the same as a 1/2 turn.

So we know what 1/4 turn would look like.

But what would it look like if you do another 1/4 turn? So that's two 1/4 turns to make a 1/2.

Think of that specific point that you're focusing on, move it to 1/4 turn.

Move it to a second 1/4 turn.

And this is what your triangle would look like.

So a 1/2 is exactly opposite.

Let's try a 3/4 turn.

So we know what a 1/4 turn looks like.

We know what a 1/2 turn looks like.

So what would a 3/4 turn look like? Again, focus on that specific point.

I think the right angle would be a good point on this triangle.

Use your finger, move it 1/4, move it a 1/2, move it 3/4.

And this is what your right-angle triangle would look like.

So again, if this is your right angle, 1/4, 2/4, 3/4.

So your right angle would be in this corner here, which is facing the same way as this over here.

So this right angle is the same point over here at 3/4.

one turn, two a 1/2, two 1/4, 3/4.

So the right angle would be down here.

Okay, time for your talk task.

Could you please have a go at describing the rotations? Can you please say it out loud? So let's do the first one together.

The dot has not moved.

It is in exactly the same place.

So that shows us that it is a full turn.

So the rectangle has rotated a full turn and it could be clockwise or anticlockwise.

Could you please have a go at the next two shapes? Pause the video now.

Okay, here I have a pattern.

What comes next in the pattern and how do you know? So what my pattern is at the moment is right-angle triangle, square, right-angle triangle, square.

What would come next? It would be the right-angle triangle.

And how do you know? Because after the square comes a right-angle triangle, you could see it here.

So you know that before this right-angle triangle, would be a square, because those are the two shapes and they are alternating.

Okay.

A new question.

What comes next in the pattern? How do you know? So have a think about where the pink dot is at the moment.

Think about the direction that the shape has been rotated.

Where do you think the dot would be next? The dot would be in this corner, and how do you know that? Yeah, that's right.

The dot has been rotated a 1/4 turn clockwise.

A 1/4 turn clockwise.

That's how you know.

So what would be next in the pattern after this? That's right, it would go back to the beginning to the shape here, because it's a 1/4 turn clockwise.

What comes next in the pattern? How do you know? So what is the distinctive point in this picture? That's right, the green square.

So the green square is the distinctive thing to look at.

And what is happening to the green square? What direction is it rotating? That's right, it's rotating a 1/4 turn clockwise.

So it goes from the bottom, bottom right, bottom left.

Top left, top right and then it goes back down to the bottom right.

So the square is rotating a 1/4 turn clockwise.

Okay, for your independent task, I would like you to tell me the next three shapes that come after these.

So one, two, three have been done for you.

Could you please tell me the next three shapes that will come next in the pattern.

Pause the video now and then press play when you're ready for the answers.

And here are the answers.

Pause the video to check your answers are the same.

You've worked really hard today, so well done.

If you'd like to share your work with Oak National, please ask your parent or carer to share your work on Twitter, tagging @OakNational and #LearnwithOak.

Well done.

Now let's see what you can remember by completing the quiz on the next page.

I hope to see you soon, bye.