(bouncy music) - [Kids] Math Mights!

- Hi, Math Mights.

My name's Mrs. Gray, and I can't wait to do math with you today.

Today we have some very fun and exciting activities.

Let's take a closer look at what we have planned.

Today, we are going to do a mystery math mistake, and we're gonna be looking at ways to make shapes different.

Oh my goodness.

Do you notice, all of the characters are all mixed up?

Our friend T-Pops has D.C.'s hammer, and Abracus has T-Pop's cane.

All of the Math Mights have their strategies mixed up.

I hope we can help them fix it during our mystery math mistake.

Here's how it works.

Our friend Dotson had a problem, and he tried to solve the problem.

We're gonna take a closer look at what he did, and we're gonna see if we agree that it's done right, or if there's a math mistake.

If there is, we're gonna have to fix it to help Dotson figure out the right way to do it.

Take a look at what Dotson did.

Dotson was given a focus number, that is in the very top 10-frame.

Then he was told to build three different numbers in other 10-frames, showing a number that is less than his focus number.

Let's take a closer look at what he did.

Here was his focus number.

His focus number was five.

Then he was supposed to build three different numbers that were less than five.

Did you see it, Math Mights?

Do you think he did it?

Our friend Fariah is here to share what she saw.

Fariah said that she agreed that the first 10-frame shows four, and that is less than the focus number, five.

Let's take a closer look.

So here, Fariah said that the first one had four, and four is less than five.

I think she's right, because if I wanted to make five, I would have to go like this, and add one more.

So if it was taken away, that means there'd be less.

Four is less than five.

Our friend Dawson is also here today.

Dawson said that in the second 10-frame, it has six.

So it is not less than five.

It is more.

Dotson would need to take away some counters to show a number that is less than five.

Let's take a closer look.

So Dotson's focus number was five, and here is six.

Hm.

To make five, I had to take it away.

That means that he added it.

He did make it more.

Dawson's observation was right.

Let's see if we can help Dotson fix it.

So to make it smaller, we'd have to take that away.

Now it's five, five and five would be the same.

Let's take way a couple more chips.

Here's a number, that's two.

Two would be less than five.

Great thinking, Dawson.

Let's see if we can figure out the last one.

In this last frame, I'm noticing that there is eight, five and three.

Now I think Dotson made a mistake.

He added more chips again, just like on the last one.

Let's see if we can make it say five, and then we'll take some away to show a number that is less.

So we'll take three away.

Now we have five, that's the same as his focus number.

Now we can take a couple more chips away.

Now we have three, three would be less than five.

Great job, Math Mights.

Dotson would be so proud that you were able to help him fix the mystery math mistake.

Let's take a look at our I Can statement for today.

I can figure out how many different ways to make up a shape.

Let's start by looking at this picture.

There are four different shape patterns.

Which one doesn't belong?

Hm, that's a tricky question.

Let's hear from our friends, and see what they have to say.

Our friend Dawson said that A doesn't belong, because it has just one shape.

It's just one piece.

Let's take a closer look.

So we're noticing that this one, A, is just one shape.

And if we look over here, there's two.

Here, there's three pieces, and here there's three.

I see, this is the only one that only uses one shape.

Good observation, Dawson.

Let's hear from Fariah.

Fariah said that B is the only one that is not one color.

And it is the only one with blue.

Let's take a closer look.

Fariah noticed that this one is only red.

This one is only green.

And this one is only green.

This one uses two colors, blue and green, to make it up.

Good observation, Fariah.

They have some more ideas to share.

Our friend Dawson says that C doesn't belong, because it's the only one not flat on the top, and it's sideways.

Let's take a closer look.

So Dawson said that he noticed all three of these ones were flat on the top, but this one is at a diagonal, like a slide.

And he thought that this shape was also turned sideways.

Hm, those are some good observations.

Let's hear from Fariah.

Fariah said that D does not belong, because D is not the same shape as the others, and the shapes don't line up at the sides.

They only touch at the corners.

Let's take a closer look.

So here, Fariah noticed that these three were the same shape, like a trapezoid.

And this one, it doesn't make the same shape.

And on the other shapes, the whole side is touching.

But on this one, there's a space, and they only touch on the corners.

What do you think, Math Mights?

Which one doesn't belong?

A, B, C, or D?

Great job, Math Mights.

You had some great observations to figure out which one didn't belong.

Now we are going to be doing a pattern block challenge puzzle.

Get ready.

Take a look at this picture.

How many of each shape did we use?

Let's take a closer look.

On my board, I built this shape using different shapes to compile together.

Let's figure out how many of each shape I used.

Let's start up here at the hexagon.

How many hexagons?

I see zero.

How about the blue rhombus?

Do you see any?

That's also zero.

How about the green triangles?

How about right there?

We used one, one green triangle.

Great job, Math Mights.

Keep going.

How many red trapezoids?

Here's one.

It's flipped upside down, but it's still a trapezoid.

We used one.

Now let's look at the orange squares.

Let's see.

Here they are, let's count them.

One, two, two orange squares.

Now let's look for the tan rhombus.

We don't have any of those, so we'll mark zero.

That was great, Math Mights.

Let's see if we can do another one.

How many shapes of each did we use?

Let's take a closer look.

Here is the shape that I built.

How many yellow hexagons?

We didn't use any.

So that would be zero.

How about the blue rhombus?

We didn't use any.

That means it's zero.

How about the green triangles?

There's one.

We used one green triangle.

How many red trapezoids?

We used one, two, two red trapezoids.

How about the orange squares?

We did not use any, so we'll put zero.

And how about the tan rhombus?

There's one.

We'll put one for the tan rhombus.

Do you see my picture, Math Mights?

Do you know what it is?

I made a big red juicy apple.

Did you also notice the two red trapezoids?

When they're put together, they make up a shape.

They make a hexagon.

Hey, that gives me an idea.

We're gonna take our yellow hexagon.

Let's put it on the red trapezoid.

It is a match.

Now it looks like a yellow, juicy apple.

The two red trapezoids together make a yellow hexagon.

I wonder how many different ways we can make a hexagon.

Our friend Dawson has an question.

He wants to know if there are other ways to make hexagons with pattern blocks.

Let's take a closer look.

So here is my hexagon.

Let's move that over.

This is the shape we're gonna try to build.

We already know that if we take two red trapezoids, we can make a hexagon.

There is shape one.

Let's see what else we can make.

Our friend Dawson has an idea.

Dawson made a hexagon using three blue rhombuses.

Let's see if we can do it too.

Here is the shape we're trying to make, a hexagon.

Now Dawson said we could use three blue rhombuses, and if we put 'em together, that would be a hexagon.

Let's check.

It is the same.

We can use three blue rhombuses to make a hexagon.

I wonder if there are more ways to make a hexagon using different pattern blocks.

Let's see what we can come up with.

Well, we already know that we can take two red trapezoids, and put together to make a hexagon.

There's a second way.

I wonder if there's more, let's see.

I have some green triangles.

Let's see, do you think we can put these together?

Hm, oh, I'm starting to see something.

Look, let's check.

We'll take our hexagon, put it on top.

It's a match.

We can use six green triangles to make a hexagon.

That's three different ways.

I wonder.

Do you think we can combine different shapes together to make a hexagon?

Let's see if we can do it.

Let's get out two blue rhombuses and two triangles.

Hm, did that work?

Let's check.

It is a match.

There's another way to make a hexagon.

Let's see.

I wonder, Math Mights, if we can find more.

Let's keep looking.

Let's try the red, and let's try some of the rhombuses.

Hm.

That won't work.

How about a triangle?

There we go.

Let's check that one.

That's a match.

We found another way to make a hexagon.

I wonder if we can find another way.

Let's try.

Let's try the red trapezoid, and let's try the green triangles.

There we go.

We have another hexagon.

It's a match.

Great job, Math Mights.

Now it's your turn.

You are going to do a pattern block puzzle challenge.

You will get a big picture, and you have to figure out a way using smaller shapes, how to make it.

Amazing job today, Math Mights, we were able to do our mystery math mistake, and we were able to figure out so many different ways to make a shape by using other shapes.

I hope that you had a great time today, and I can't wait for you to come back soon.

(soft music) - [Kid] Sis4teachers.org.

- [Girl] Changing the way you think about math.

- [Narrator] The Michigan Learning Channel is made possible with funding from the Michigan Department of Education, the state of Michigan, and by viewers like you.

(soft music)