Hey veryone it's Ms. Tschaen. I'm going to walk you through lesson 6 scaling and area.

This is a may do lesson so it is optional it is suggested that you do it if you are trying to get an A or B in math.

And I'm not going to have my camera on for this video.

So in this lesson we're going to be looking at scaled shapes and.

Areas so areas of the original shape the area of a scaled shape.

So again this is the Frank Lloyd Wright Fallingwater home in Pennsylvania on the left and then on the right is the Lego model.

And this is just a question to think about you don't have to write anything down.

It says if I know the area of a floor in the model how can I determine the area of the same floor in the actual house?

How can I take the area of the model which is smaller.

And so on one floor let's say how would I then take that information and try to figure out the area of that same floor in the actual house.

Okay so for the warm-up.

This warm-up is pretty extensive and you're going to use these pattern blocks.

This document here has all the parts this is always in every slide show all the parts of the student tasks so the warm-up and activity 6.1 and 6.2 these are also on the slides although I did notice at least one typo on the slides so for the warm-up you might want to look here but I will point out the mistake in the slides.

And here it is so.

This first part of the warm-up says how many green triangle blocks it should say.

Blue rhombuses does it take to build a scaled copy of figure A.

That is A where each side is twice as long.

B where each side is three times as long and C using a scale factor of four.

Basically scale factor of 2 scale factor of 3 scale factor of 4 so you're going to need a set of these pattern blocks and they are by the window you'll need about.

Let's say 16 to 24 of each color.

For all of the activities so You can pause the video and go and get those supplies so you are ready for The warm-up and the other activities.

Again this the screen has the typo this should say.

Blue rhombus blocks or blue rhombuses.

Which you can see in the picture.

So another option is to use the this is the geogebra tool to do these activities and.

If you go to this tool you can Manipulate the different shapes the different blocks.

Let's see how would we go to the rhombuses.

You just need to go a couple slides further to get to the rhombuses but you can do these activities either with the actual pattern blocks like the ones that you're manipulating with your hands or with the geogebra tool.

Okay so again these are in the slides and you'll click on Any slide that has the either the green triangle or the blue rhombus.

or the red trapezoid and then if you click on it it'll take you to geogebra and then you can manipulate The shapes you can add.

As you're trying to figure out the scaled copies.

Okay so this one same idea how many green triangle blocks does it take to build a scaled copy of figure B.

where each side is twice as long, where each side is three times as long.

or using a scale factor of four.

Same questions but for the green triangle.

Again I link to the geogebra tool.

Although these are not exactly in the right order.

That's fine you can figure it out.

And then the last one for the warm-up is with the red trapezoid.

So.

Again you're going to answer these three questions based on this shape the red trapezoid.

So pause the video here and complete the warm-up.

Okay so as you're finishing up the warm-up.

We scaled the shapes 2, 3 and 4 times.

Make a prediction how many blocks would it take to build a scaled copy of these shapes using a scale factor of 5?

Or 6?

So pause the video and make a prediction, based on what you did in the warm-up what do you think how many blocks would it take to build scaled copies using a scale factor of 5 and then of 6.

Okay let's continue to activity 6.1.

You can choose one of these shapes to do activity 6.1 with.

Maybe if you're working with a partner or group of three you each could choose one of these but if you're working with a partner or maybe one of you does the blue rhombuses maybe one of you does the red trapezoid.

You can just each pick one of them to do.

And you're going to build a scaled copy of your assigned shape using a scale factor of 2.

Use the same shape of blocks as in the original figure how many blocks did it take.

Your classmate thinks that the scaled copies in the previous problem will each take four blocks to build.

Do you agree or disagree explain your reason.

Do you think it's going to take four blocks.

To build.

Scale copy of whichever shape you chose.

Using a scale factor of 2.

Then you're going to take your blocks and build a scaled copy of your figure.

Using a scale factor of 3.

Then 4 5 and 6 so you'll make a table and fill in the table just for your shape.

And then how is the pattern in this activity the same as the pattern you saw in the previous activity.

And how is it different.

So pause the video here and complete.

This first part which is 6.1.

Okay let's continue with activity 6.2.

In this activity you're going to get a little slip of paper.

And these are again you and your partner might have a different shape there's either a parallelogram.

Or a triangle.

So You're going to take yours, figure out what the area is.

Based on the base so how.

Long the base is and how long the height is so if it's a Parallelogram you'll need to know the formula for finding the area of a parallelogram.

If it's a triangle you'll need to know the area for finding sorry you'll need to know the formula for finding the area of a triangle.

And if you don't remember that.

let's say from last year you can.

Look it up.

And then you're going to draw scaled copies of your figure using each scale factor in the table so the original is just a scale factor of one and then you're going to scale each length.

by a scale factor of 2 by 3 by 12 and by 13.

Compare your results with a group or with your partner if they worked on the different figure.

And question 4 if you drew scaled copies of your figure with the following scale factors what would their areas be.

So this is without.

Drawing without using any of the manipulatives.

What do you think if the scale factor was 5.

What would the area be.

If the scale factor was 3/5 what would the area be.

Okay these are questions to think about as part of your lesson summary you could answer.

One or two or all three in your lesson summary.

Box for lesson 6.

And here is what we were supposed to have learned.

I can describe how the area of a scaled copy is related to the area of the original figure and the scale factor that was used.

And then of course you have your practice problems.

There are five.

And when you're done let Ms. Tschaen know and show me your notebook and then you can take.

The Mastery check for lesson 6. Ok, good luck.