Hey guys today. We're going to compare fractions with number Lines again
Yesterday we started out by comparing fractions to one-half and so we're going to review that again today to make sure that we're really
understanding that
so
First thing I need to do is say that my fraction has a denominator. That's even
Remember the denominator is the bottom number
So say that my fraction has an even denominator
The first thing I want to do is find out
What is one half of that denominator?
Well half of six would be three
so one half of
a sixth would be three sixths
Now I can easily compare to six to one half
So what [I] need to do is put 26 on the number Line I?
Don't have to be completely exact all I need to know is that
26 is a little bit less than one-half to show I do know that
26 is less than one-half
Now this works with any
Fraction that has an even denominator
So say that I was working with the fraction
Seven [texts], and I wanted to know if it is greater than or less than one-half I can easily compare it
because first I do 10 divided by 2
Which would be 5 so 5 tenths is actually equal to one-half I
can put that on
My number line, then I can compare some intense well seven tenths will come later than five tenths
So I'm just going to kind of guess
Some intense would be about there
Now if I'm comparing to six to seven tenths I can easily do that on this number line now because I know
26 is less than one-half seven tenths is more than one half so to
Sixth is less than seven tenths
sentence is greater than
26
Now you may be wondering
What if my denominator is odd? What if my number is something like two fifths?
How do I find half of two fifths?
Well, you don't exactly I
going to go ahead and create my
Fraction or my number line and I'm going to go ahead and put one half where it goes now to figs I
know two bits is a little bit less than
one-Half
because
2
over 4 would be half exactly and
2
6 would be a little less than half because 36 this hat there and
I know three-fifths would end up [being] a little bit higher because again
It's a little more than half a 5
So I can easily say to fix should probably go somewhere in here
33 this would probably go somewhere in here. I can do that. Just by looking at it. Just by comparing let's try another
All right, so say that I have the number
67
Well, I can't divide 7 by 2 and get an even number, but what I do know is that
the middle numbers of seven would be somewhere between
three and four
so
between three and four is
Going to be my halfway point
If you think about it
36 would be half
four eighths would be half so
Three-sevenths is a little less than half in four sevenths is a little more than half
6 7 is greater so 6 7th actually is closer to your one
let's start thinking of fractions in relation to
zero
One half and what?
Take the number 512
512
Would probably be closer to one half then it would be 20 or 21
512 is really close to [one] hat 612 would be half exactly so 5 12's is going to be somewhere
relatively close to one half
on
The [other] hand say I've got a number like 110
one tenant is a really small number, so it's going to be closer to
[zero] and
If I had a number like the seventh eighth that I was just talking about on the last slide
7 8 is really close to eight eighths which would be equal to [one] so
Seven eighths is going to go closer to one on my number line
Now say they give me a number like five eighths and forfeits
I'm going to have to think about both of those in relation to our they closer to 0 1 half or one
Well five eighths is just past half because I know 48 is
One half so five eighths is just a little past it
Or if it's on the other hand is really close to five bits. It's over half
But it's actually really close to one so I'm going to say four-fifths
Actually goes here on my number line. I'm
Going to now be able to easily compare the two
I'm looking at my number line or fits is closer to one so forfeits is greater than 58
All right, stay I've got a really big fraction like 33 over 100 you think 33
And you think wow that's really big however
Half of 100 is 50. So really in all reality 50
150 hundredths is equal to one-half so 33 over a hundred really it's somewhere between 0 and
10 words to 33 over 100. We go right here on my number line
two-thirds on the other hand seems really small, but if I really think about it I
I can't break two thirds down in half but I know
it's about 1.5 in all reality is half if
You're really thinking about it. If I have three dollars half of three dollars would be one dollar and fifty cents
so
Two over three two thirds is actually
closer to my woman
So I know that
33 over 1 100 actually looks like it might be bigger, but when I put it on my number line
And I really really pay attention to it
Really two thirds is larger
All right guys now. You're going to be going through the problem set with your substitute um
You're going to go through
Answer the questions together if you feel like you have a pretty good understanding of this
And you don't need help you may go to your seat
You need to make sure your voice is off and you are working quietly when you finish you may quietly read
Until it is time for your exit ticket
Be sure it it like glanced up and make sure that you're getting the correct
answers as your substitute is going through it with the people who stay at the carpet if
You do not understand stay at the carpet
Make sure you are sitting on your bottom make sure you are facing forward and make [sure] you are staying on
Task you need to be going through this with someone who can lead you through the thought process
Of how to answer these questions, so you stay at the carpet with your substitute
Brooklyn is going to switch us over to the document camera, and he is going to lead you through the problem set I
Expect you to do a great job
Do not rush and to pay attention
Whenever you do get the exit ticket after you're through with the problem set you'll notice that it has two sides it has exited
13 and exit ticket 12 today you're going to be doing exit ticket 12 turn it into the math tray when you finish
Andrey quietly until the reading lesson begins. I hope you guys have a great day, and I will see you later today
So make sure you're making great decisions
Being respectful being kind and staying quiet during lessons so that you really have a chance to learn I
Miss you guys, and I [hope] you have a great day
