(bright upbeat music) - Hey, everybody, it's Math Time once again and I'm so glad that you're here with me because today I've got a tough problem for us to solve and we need each other.

I think it's helpful when we are working together to solve these tough problems.

But before we jump in to our story problem of the day, I wanna recite a little poem to you.

Are you ready?

Here it goes.

When it comes to solving problems, some are easy and some are hard.

They can be solved in a classroom, at home, at a park, or in a car.

And when problems are tough, you might become stuck, but try something different, reach out to a friend, but whatever you do, don't give up.

So now it's Math Time and a challenging problem we will see and you and I, we might even solve it differently.

You know why I love that?

Is because it's so true.

There's so many different ways to solve problems, but that's okay, that's the beauty of math is you get to be creative as you solve problems.

And you know what?

It's also important that we have one another.

When we work together, we come up with different ideas and my best ideas, they don't come whenever I'm by myself a lot of times.

I need other people and they help me think about things through differently.

And so that's why I'm so glad you're here because here's our problem.

We're gonna start off with one, just to kind of get us thinking a little bit, and let's imagine, I've got some carrots here, okay?

And I have three, right?

One, two, and three.

And now I have these carrots, what if I said, you know what?

I started off with a different amount and I had, I already gave away two.

Okay well that means I started with something other than three right?

And so we've got to figure out how many did I start with if I gave away two of them already?

Well, one of the ways we could do that is I could say, you know what?

We can add those back in, we can solve this problem with addition, because even though I gave away two to figure out how much we started with, we can add those back together.

So we've got one, two, three carrots over here, plus the two that I already gave away.

And we add those together and we have five, okay.

So that's one way we could have solved the problem, right?

We can think through that and kind of count those out.

Now, what if we had different numbers or what if we had larger numbers and made this problem a little bit more challenging?

Well, that's our story problem today.

Kim has a garden, and with her garden she has a lot of carrots, she's growing carrots there and you know what?

She counts up, how many she has and she has 50 carrots.

But she already gave away 25 to a friend.

All right, well, that's a lot like the problem we just kinda talked through whenever I had three and I gave two away, but this time, these numbers are a lot bigger.

Kim has 50 carrots, she gave away 25 so how can we solve it?

Well, there's a few different ways, let's talk through a couple of these.

One way is we can think about that number 25, right?

And we can break it into groups of five.

How do I know that I can break 25 into groups of five?

Because any number that ends with a five or zero can be divided into groups of five.

And so let's count by fives and see if we can get to 25, you're ready?

And let's keep track of how many groups of five it takes.

So five, 10, 15, 20, 25.

So we can break 25 into five groups of five.

And now we might even use something like a number line to count on from 50, 'cause remember Kim has 50 carrots so far, but she already gave away those 25 so we have to add those back in.

So let's start at 50 on our number line and let's count by fives.

So 55, 60, 65, 70, and 75.

That must mean that Kim had 75 carrots that she started with from her garden.

Amazing problem solving today, but you know what?

Let's look at it a little bit differently.

Let's think if we could draw this out and also think about groups of 10.

Can I divide 50 into groups of 10?

Sure, how many of these boxes would we need, if every box represents 10?

Well, for 50, we would need 10, 20, 30, 40, 50 five groups.

So we need five of these little rectangles that are gonna represent 10 carrots each.

Now remember we have to add that 25 back in.

So we can break 25, we did it once by breaking it into fives but what about two groups of 10 and five?

Now we can see how many groups of 10 do we have altogether?

Seven, that would be 70 plus the five, 75.

Another way of solving, but we arrived at the same answer.

Great job everybody and thank you for helping me solve this challenging problem.

And remember, don't give up, keep working, keep learning and keep problem solving.

And we'll be back again soon.

(bright upbeat music)