yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Line plots with fractions


3m read
·Nov 10, 2024

What we're going to do in this video is review what we know about line plots but apply them in a situation where some of our data involves fractions. So, they tell us the lengths of some caterpillars are shown below and so we can see that here in the line plot. Just to refresh our minds how to read a line plot, this tells us that we have two caterpillars that are four centimeters long. These three show that we have three caterpillars that are seven centimeters long. Each dot represents a caterpillar whose length we are measuring, and it allows us to see how those lengths are distributed.

So, for example, we have a lot of caterpillars at this length. What is that length? Well, we can see that it is exactly halfway between four and five, so that is four and one-half centimeters long. We divide the section between four and five into two equal sections, and we're going one of those two equal sections towards five. So, this is four and a half centimeters.

So, I can ask you some questions. How many total caterpillars were measured? Pause this video and think about that. Well, each dot represents a caterpillar measurement, so we have one, two, three, four, five, six, seven, eight, nine, ten, eleven, twelve, thirteen, fourteen, fifteen, sixteen, seventeen. So, we have a total of 17 caterpillars.

Now, another question we could ask ourselves is how many of the caterpillars are 5 and 1/4 centimeters long? Pause the video and think about that. Well, 5 and 1/4 is going to be more than 5, and what we would want to do to get to 5 and 1/4 is divide the interval or the length between five and six into four equal sections. They already did that: one, two, three, four. So, and then we want to go one of those four equal sections. So, five and one-fourth is right over here, and we can see that there's one caterpillar that is 5 and 1/4 centimeters long.

We can ask ourselves other questions. How many caterpillars—let me write it over here—how many have a length more than six and one-half centimeters? Pause the video and try to answer that. So, where is six and a half centimeters? Well, we can divide the section between six and seven into two equal sections, and if you go one of those two equal sections, that is six and a half. So, that is six and a half right over there.

How many have a length more than or greater than six and a half centimeters? Well, we can see it right over here: one, two, three, four, five, six. Six of them do, and we could even try to answer questions like how many more have a length of nine and a half centimeters than five and one-fourth centimeters. Try to answer that question.

Well, nine and a half centimeters, that's halfway between nine and ten, right over there. We can see two of them have a length of nine and a half centimeters, and we already know that one of them has a length of five and one-fourth. So, how many more have nine and a half centimeters versus five and one-fourth? Well, that would be two minus one or one more. We have one more caterpillar with a length of nine and a half centimeters than we do with five and one-fourth.

I’ll leave you there. We have plenty of examples on Khan Academy for you to practice this.

More Articles

View All
Why Geeks are Sexy: The Wing Girls
Hey Vsauce! I’ve got something special for you today. I’m sure you’ve heard of a wingman before, but have you ever heard of a wing girl? Well, guess what? There’s two of them right now! They met with Ben and Mark in LA like a few weeks ago, and I said, “H…
Wild Life | Official Trailer | National Geographic
In the very beginning, Doug and I were living in the middle of this paradise, and we said it would be incredible to save this place, just save it. Doug and Chris, you would see them together, and it was like teenage kids; he was very charming. I thought, …
What's Driving Shark Attacks in Recife? | SharkFest
[dramatic music] NARRATOR: Along a roughly 25-mile stretch of shore, there have been more than 60 shark attacks since records began and almost half of them fatal. In fact, this small area accounts for almost 50% of recorded attacks in the entire continen…
YC SUS: Aaron Epstein and Eric Migicovsky give website feedback
Good morning! It’s Eric. I’m here with Aaron from YC. Aaron, do you mind giving us a little bit of an introduction? Jerusalem, sure! Hey, so I’m Aaron Epstein. I actually went through YC in winter 2010, so 10 years ago at this point. I was co-founder of …
How to make money on Youtube in 2022 - How much money I made this year
This video is brought to you by Squarespace. From building websites to online stores, tools and analytics, Squarespace is an all-in-one platform to create a beautiful presence online and run your business. Today, I’m going to explain how you can make mon…
Introduction to negative numbers
In this video, we’re going to introduce ourselves to the idea of negative numbers. Now, you’re already used to the idea of positive numbers; you just called them numbers, not positive numbers. And just to give you an example, I will draw a number line her…