All right This IS fifth-grade module for Lesson 11 and we're going to be solving Word problems Using
Fractions and
The Thing about Word problems is
I'm gonna Really focus on how to model the problem so that students can Understand What's What's being Asked of them and
Then
Then Once The problem has Been Modeled it'S it's a Whole lot easier for students to Actually solve the problem
so let's Get started so
In this problem That Says Jenny's mom Says she has an hour before it's bedtime and
Jenny Spends a Third of The hour texting a Friend and
A fourth of the time Brushing our teeth and putting on her pajamas
She spends the rest of The time reading her book how many Minutes did Jenny Read so we have
some time
and We Have an hour so i'm gonna Label that 60 Minutes I'M not sure if That's gonna Help or not but Let's see
So i'm gonna Label at 60 Minutes and
We're told That She Spends a Third of Her hour texting so i'm gonna Just
Estimate and i'm gonna Call It right Here a Third One Third of The 60?
Is right there and then It Says and She Spends a quarter of The time Brushing her teeth and putting on our Pajamas?
So a quarter and Now i'm not gonna
I'm Just gonna estimate it Doesn't Really Matter Exactly Where we put it but i'm gonna put It right there and we'll call that a
Quarter of
Sixty and then It Says She Spends The rest of her time
reading her book so
That's This Stuff Right Here and we're Supposed to figure out how many Minutes did she Read
So we're gonna do a couple of problems first we're gonna figure out
What is one-Third of
60 Minutes and
Then we're gonna figure out What 1/4 of
60 minutes Is and That's gonna Tell Us
This much And
Then we Can Use subtraction to figure out What's left Over
So one-Third of 60 is One-Third Times i wrote a six there
One-Third
Times 60 and That's Equal to one Times 60 over three and
we can Do some simplifying Here
60 and three are both divisible by three so 60 divided by three is 20 and 3 Divided By 3 IS 1
so that Gives Us 20 minutes
And
Then so this piece right Here is
20 minutes
Let'S keep going a quarter of 60 so That'S 1/4 Times 60
That's Equal To 1 times 60 over 4
But 60 and 4 we Can Simplify Because They're Both divisible By 4
so 60 divided By 4 IS 15 you know how i know that i
Think of a Clock There's a Clock Has 60 minutes in an hour you know and
If you cut it up you Get 15 Minutes 15 Minutes 15 Minutes 15 Minutes
So That's how i did that so fast so 60 divided By 4 IS 15 and
4 Divided By 4 Is 1 and
so that Gives US 15 minutes
So we're gonna call This 15 minutes
And
Then The Big question is well what do we Have Left over well That's Pretty Easy all We Have to do is do 60 minus
35 and where did i get 35 from well these guys put Together
Equals 35 Minutes so 60 minus 35
Gives Us 25 so
How Much time Is she gonna have to read She's gonna have?
25 Minutes Left Over
to read
on this problem we've Got Giovanna Francis and Their dad each Carried a
10-Pound bag of soil into the Yard Backyard
After Putting soil in the first Flowerbed Giovanna's Bag Was five eighths
PoundS five eighths Full Right Here five Eights full
Francis's Bag Was two-fifths full and Their dad's Was Three-Quarters full
so then The question is how many Pounds of soil did they put in the flowerbed all
Together
How interesting
Okay so the reason i was thinking That This is interesting is because?
Pay Attention to this They're telling us how much is left over in their Bags
But The question is asking how much did they Put how much did they take out of Their bag so it's Kind of like The
Opposite They've Given Us one hint But They're asking us for the opposite side of the question so let's write
Write This down so Giovanna and
Giovanna Her bag was five eighths Full so i'm gonna take her ten pounds
and I'm gonna cut It up into eight Pieces and
five Eights Full means she Used
This Much
She used three eighths and then Frances
Is also ten Pounds so i'm gonna try and recreate that bar
Only Hers is two-fifths Full so one two three four five Hers is
two-Fifths Full so that means she used this much
so she used
Three-fifths see What i mean by the opposite and then dad i'll Just use the letter d and i'm gonna Try and recreate His
tape diagram as Well and
Dad Is
3/4 full didn't Work Very hard so
There we Go and Dad is
3/4 full so he used
Much and so the question is how much did they put into the flowerbed so these Shaded Pieces is how much They put
Into the Flowerbed in that is Exactly What we're being Asked for
So we're gonna find three-eighths
three-Eighths of 10 we're gonna find three fifths of
Ten and we're gonna find
1/4 of
Ten Because This is how much they put in to the
The Flowerbed and so This is gonna be 30
Over eight Parents and Teachers You might Have to Explain How Way i did that so quickly there and
and That is going to equal
Three and
six eighths
So i want Everybody Involved Here watching this video if you Need to pause the video and figure out well how did duane get That
And That's how i did so because i want you to be Able to figure it out
This is
gonna be 30
Over five Thirty Fifths Which Is Equal to six and then
The Last One here is
going to be
Ten Fourths Which Is Equal to
Two and
Two
Fourths Now i could simplify This a Little Bit Because i could might Make It easier Call This three and three Fourths and
Then we Can Call This
Two-And-A-Half and
This is all
This is how much each Person Put into the flowerbed and so, Now we're going to add them Together so i'm going to add
3 and 3/4
Plus 6
Plus 2 and
Half
so adding the Whole numbers 3 plus 6 plus 2 Gives US 11 Whole Numbers
Now we can Add
3/4 plus 1/2
We could do that in our Head in fact i want my students to be Able to do this in their Heads?
In fact What i want them to imagine maybe is i might want them to imagine Here's three quarters
And Then i want them to imagine this to be a Half
But a Half is Really Two quarters
So i want them to be Able to see that i could take a quarter here and make a Hole and
Then i would have one quarter Left Over so?
3/4 plus 1/2 Is Equal to one Whole plus 1/4 leftover
and so that Ends Up Equaling 12 and
1/4 so let's scroll all the Way back UP 12 and 1/4 so the question is how many Pounds of soil did they put in
and The Answer how many Pounds IS 12 and 1/4
Pounds of Soil and We Get That Through All of
This Work
And
The Last problem for This video This Is a Doozy
So mr. Chan made
252 cookies for The Annual fifth grade bake sale so i'm imagining the number
252 is going to be important so i'm going to underline It and they sold
3/4 of them and
Three ninths of The Remaining
Cookies were Given to pta members and
Then Mr. Chan Allowed
Let'S see he allowed The 12
Student Helpers to divide the cookies That were left and there of Course They're going to divide them equally and the big question is how
Many Cookies will Each Student Get so there's a Lot of Stuff Going on Here
So let's start with the concept of well we've Got
252 cookies and They sold three quarters of them all right so we have 252 cookies
and They sold three quarters of them so That's all This that They sold
So the question and then Then It Says
Then They're gonna Do some Stuff with the remaining cookies
So it turns out yes this is the clue they gave us but Really we want to know what is
1/4 of
252 so That'S 1/4 Times
252 Which is Equal to
252 over 4 and Then
Using Division on scratch Paper but I'm gonna do It in my Head Real quick here
We Get
63 so that Means
This piece Right Here is
63 cookies so now they sold the original amount That's all This Stuff Over here they have?
63 cookies Left Over and That's The Stuff That They share some of Those with the pta members
So it turns Out Here is our
Bar Our tape diagram and That Represents The 63 cookies and we're told That
3/9 of Those cookies are Given to the pta
So that Means we've Got. To chop that up into 9 Equal sized Pieces
And
Three of Those Pieces
Go to the pta and
Then The Kids share The Remaining six ninths
so i want to know how much is six ninths
That's This Stuff Because This is the Pieces that The Kids are going to share
There's 12 Kids and They're going to share all of These cookies leftover so let's figure out how much is
Six ninths
of
63
So i'm gonna scroll down a Little bit here so that Becomes well that Becomes
6/9 Times 63
That Becomes six Times 63 over Nine and
we can See that 63 and nine are both divisible by nine
So 63 Divided By 9 IS 7 and 9 Divided By 9 IS 1 and so that Leaves us with
42 cookies so that Says Those 12 Kids Shared
The 42 cookies leftover and
So was That Right 12 Kids Yeah This 12 student Helpers Divided the cookies That were left. To cook
Equally how many cookies will each kid each student Get so if there are
42 cookies and 12 Kids
So 42 divided By 12 that Gives us 36
With 6 Left Over so That's 36 i Mean three and a Half Cookies
for Each Child
Each Child Will Get
Three and a Half Cookies
So let's go all the Way back up to the top so what did we do Real quickly we paid attention a Lot
To what wasn't the clue so they Said
3/4 of them were sold well that means One quarter was left Over so we figured out that That's 63 and
Then They Said well 3/9 were Given to the pta so that means six ninths were not
so we found six ninths and then We took those 42 cookies and Divided By 12 Kids and We Got
Three and a Half cookies per Child and
That Is grade five Module four Lesson 11 solving Word problems with Fractions