(jolly music) (bells and chimes) - [Children] Math Mights.

- Welcome, first grade Math Mights.

I'm Mrs. Markavich, and I'm so excited that you're here with me today.

Today, we have so many fun things planned.

Let's check out our plan for the day.

The first thing that we're going to be doing is a number talk, and then we're going to be building new shapes.

Let's warm up our math brain with a number talk.

A number talk is when I give you a problem with an operation that you're already familiar with and then you're going to try to solve the problem mentally, which means in your brain, not using paper and pencil, and then you'll share out how you solved, explaining your strategy.

And I have one of my Math Might friends here with me today.

I wonder who it is.

(gentle music) - Oh, it's my friend DC.

He is my favorite Math Might that lives in Mathville.

He wears a hardhat and carries a mallet, and he likes to decompose numbers into friendly numbers.

And he's going to do that with us today.

Let's take a look at our problem.

Our problem says eight plus six equals hmm.

I wonder if you're able to solve this problem mentally.

I built it on my whiteboard with my friend DC here to help us.

Let's take a look at it.

Eight plus six equals hmm.

I've got eight on the top of the double 10 frame mat, and six on the bottom.

Let's see what my friends Sira thinks about how she can solve this problem.

Sira says, "I think the answer is 14, because I decomposed six into two and four to make 10.

Then, I added the four to the 10 to get 14."

That sounds like a great way to solve this problem.

So she said that she decomposed the six.

That's what we have on the bottom here.

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

And she decomposed the six into two and four.

We're going to move two up to the top.

Now, we have a full 10 frame up here, 10, and four on the bottom, 11, 12, 13, 14.

Now, if you are going to solve this using paper and pencil, this is what it would look like.

You would decompose the six into two and four.

The eight would grab that two to make 10, plus your four, and that gives you 14.

Great job solving that problem, Sira.

I wonder if you solved it the same way as Sira.

Let's take a look at how my friend Tiffany solved it.

Tiffany said, "I think the answer is 14, because I decomposed the eight into four and four to make a 10.

Then, I added the four to the 10 to get 14."

That's another great way to solve this problem.

So this time, I'm going to take the eight from the top and I'm going to decompose the eight into four and four.

I'm gonna move down one, two, three, four to fill this 10 frame, and then I have 10, 11, 12, 13, 14.

Great work.

Now, if you're going to solve this using paper and pencil, this is what it would look like.

I would put four and four.

I would grab the four, have the six grab it, now you have four plus 10 equals the number 14.

I think that DC would be so proud of Tiffany and Sira.

Now, let's check out our I can statement of the day.

I can build new shapes from smaller shapes.

These are two really cute shapes.

I wonder what you're noticing and wondering about them.

Let's see what Tiffany and Sira have to say.

Sira says, "I notice it's a dog.

It's the same picture, just made with different shapes."

And Tiffany says, "Six triangles make a hexagon."

Great notices, girls.

Let's take a look at mine and talk about their notices.

You can see that Sira said both shapes look like a dog, they are just made out of different shapes.

And Tiffany said, "Six triangles make a hexagon," and if you look really closely right here, you can see there are one, two, three, four, five, six triangles that makes up the hexagon.

And this yellow shape right here is a hexagon.

So six triangles make a hexagon.

Sira says, "I wonder, can the second dog picture be broken into even more shapes?"

And Tiffany says, "Can you use more than one type of shape to make a hexagon?"

Those are really great wonders, girls.

We're going to do more investigating today in the show.

For now, keep up the great work, Tiffany and Sira.

My question to you now is what other shapes make hexagons, rhombuses, and trapezoids?

Well, I have some of those shapes in front of me.

Let's take a look at them and see what we can do.

I have a hexagon here and I'm wondering what other shapes that I have here might make a hexagon.

I'm gonna start with the rhombuses.

Let's see how many rhombuses we need to make a hexagon.

I'm gonna start out by putting them on top.

I have one, two, three.

It looks like I need three rhombuses to make a hexagon, and I'm gonna slide them off and set it next to my hexagon, so you can see.

I bet there are other shapes here that I can use to make a hexagon.

We'll come back to that later.

Now, I wanna take a look at my rhombus.

I'm gonna pull this rhombus down.

And looking at my other shapes, what do you think?

Which shape might I need?

I actually think I'm going to start with the triangles.

I'm going to put one triangle on top, and it looks like I'm going to need another triangle.

I'm gonna grab another triangle and you can see two triangles make a rhombus.

I'm gonna slide those off and put it right next to it like that.

Now, the last shape that I'm going to use is the trapezoid.

I wonder, I'm gonna grab the rhombus and see if that will work.

Hmm, I don't think, it looks like I have the rhombus here.

What shape do you see right there?

Oh, I could try a triangle.

Look at that.

I could use a triangle and a rhombus to make a trapezoid.

I bet there are so many more ways that we can use other shapes to make a rhombus, a trapezoid, and a hexagon.

I think we should try it out.

Math Mights, now we're going to see how many hexagons we can make using the other shapes.

I have the hexagons laid out in front of me.

I have six different hexagons here.

Let's take a look and see what we can build.

I'm gonna start out with the trapezoids, and I'm going to put a trapezoid on top of this.

You can see there is one trapezoid, but I still have another part here, so I'm going to grab another trapezoid.

And I can see that two trapezoids make one hexagon.

Great work.

Let's keep trying it.

Let's go now to the rhombuses.

I'm going to lay a rhombus on here like this, and there is one, but I still have some space left right here, so I'm going to grab another rhombus right there.

I still have a little bit of space left, so that tells me I need to grab one more rhombus.

This time, you can see three rhombuses make one hexagon.

I bet there's another way we can do this.

I'm going to try the triangles.

One, two, three, four, five, and six to make one hexagon.

But look, I still have one, two, three more hexagons.

I wonder if I could mix some of the pieces together.

Let's try it.

I'm going to use a trapezoid on top like that and then maybe try some triangles.

Let's try one, two, three.

I was able to use one trapezoid and three triangles to make a hexagon.

Now, let's take a look and try the rhombus.

I'm going to put one rhombus here and then I'm going to put a triangle here.

I'm going to use another trapezoid.

Look at that.

I have a rhombus, a triangle, and a trapezoid that made a hexagon, but I still have one more left.

I think, this time, I am going to grab two rhombuses.

One, two, and then I have a little more space down here.

I'm going to grab a triangle and I have a little space left.

Now I have two rhombuses and two triangles to make a hexagon.

Wow.

That was a lot of work.

I think you did a great job, Math Mights.

Now that we've finished using other shapes to make hexagons, I have a giant hexagon here.

What shapes could we use to create this large hexagon?

I have pulled out some hexagons and some rhombuses, and we are going to take them and put them on top of here and try and make this large hexagon.

I'm going to start with a hexagon in the middle, and then I'm going to put more hexagons around it.

So I have one, two, three, four, five, six, seven.

It looks a little bit like a beehive right now.

Now, you can see the open spaces here and I am going to put in the rhombuses.

Let's try it.

One, two, three, four, five, and six great work using the rhombuses and hexagons to make a large hexagon.

Now, can you build a shape with pattern blocks?

I have some pattern blocks in front of me and I'm going to build a shape, and you're going to get to guess what I made.

This is gonna be so much fun.

I'm going to start with a hexagon.

Do you think you have an idea of what I made?

Did you guess a duck?

If you did, your right.

Let's count how many shapes it took to build the duck.

I have one, two, three triangles, one, two, three, four trapezoids, one, two rhombuses, and one hexagon.

Let's count them all up together.

One, two, three, four, five, six, seven, eight, nine, 10.

It took 10 pattern blocks to make a duck.

Let's see if you can figure out the next shape I'm going to make.

I'm gonna start with some rhombuses.

Do you think you can guess what I made?

Did I hear you say a fish?

You're right, it's a fish.

Let's count our shapes and see how many shapes it took for us to build a fish.

We have one, two, three, four, five, six, seven, eight rhombuses.

Now let's count the squares.

One, two, three, four, five, six squares.

Next, I wanna count the trapezoids.

One, two, three.

And last, let's count the triangles.

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

There's a lot of shapes there.

Let's count them all together.

One, two, three, four, five, six, seven, eight, nine, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23.

It took us 23 pattern blocks to make a fish.

You could give this a try and try and make some different creatures on your own.

And if you don't have pattern blocks, you could just use a sheet of paper and cut out a square, a rectangle, a rhombus, a triangle, or a hexagon.

Now it's your turn to try different ways to make a hexagon, just like we did today.

First grade Math Mights, I had so much fun with you today.

I had a great time doing a number talk with my favorite Math Might DC, and then we were able to make new shapes out of pattern blocks.

Until I see you next time, kiss your brain.

(gentle music) (jolly music) - [Boy] sisforteachers.org.

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

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

(gentle music)