- I can. Start from the 
beginning again.
- I can use fraction partitioning 
and fraction benchmarks
 to make sense of percent.
- I can....
- I can develop strategies, 
including percents,
 to use in comparisons where 
the whole is less than 100.
- Read this or you can read to yourself aloud,
read it out loud,
it says, "Working with percents.
When voters pass a school bond,
they agree to a tax increase
to pay for school construction.
Based on the following data from a survey,
which neighborhood,
Whitehills or Bailey, is more positive 
about the proposed school 
bond to build a new gymnasium?"
And we have the table here and it says,
"People favorable to school bond."
The Whitehills neighborhood, 31 people say,
"Yes, they're in favor of it."
 69 people say,
"No, they're not in favor of it."
Bailey, 17 people say,
"Yes, they're in favor of it," 
33 say, "No, they're not in favor of it." 
I want you to tell me...
I'm going to give you,
I actually have this 
written on a sheet of paper 
I'm going to give to you.
I want you to tell me which neighborhood 
is more positive about it?
Which neighborhood wants the 
school bond to build the gymnasium 
or who wants to build 
the gymnasium, all right?
I want you to work together.
- Yeah, see.  It's say which 
fraction is bigger.  Yeah, see.  
- So you going to do it?
- Yeah.  
[Students talking quietly to each other]
- Now, the first thing,
what is the first thing you need to know?
What is the first thing you're 
going to need to know to find out
who thinks which 
neighborhood is more positive
about the proposed school bond?
What is the first thing that 
you think you need to know?
What do you think you need to know?
- How many people 
are in each neighborhood?
- How many people 
are in each neighborhood?
How many people 
responded to the survey?
Okay. He's actually right.
That's the first thing you need to know.
When we look at the first one,
Whitehills, how many people actually voted?
Briana, how many people voted?
- 100.
- 100 people voted. Yes?
- Yes.
- Everyone agree with that?
- Yes.
- Okay. On your paper,
you see a bar.
We're going to talk 
about that bar later.
You see a 100%.
Do you see 100% on that bar?
- Yes.
- Above that 100%, 
I want you to write 100 
because that's how 
many people it is, all right?
What about Bailey?
How many people voted in the Bailey neighborhood?
Isaiah.
- 50.
- 50 people voted.
But we know 100 people.
50 people. How many people are 
in favor of it from Whitehills?
It's right there for us.
How many people everybody?
- 31.
- 31. So that would be 31 
out of how many people?
- 100.
- 100 people.
31 out of 100 people.
Any idea what percent 
that would be?
Do you have any idea
 what percent that would be?
- Yes.
- What?
- 31 percent.
- 31 percent, all right, 
are in favor of it?
How many people for Bailey?
Everybody. 17 people. So that 
would be 17 people out of 50%.
I'm sorry, out of 50 people 
that totally voted.
Which one is easier
to read the percent?
Which one is easier 
to get the percent?
Which one do 
you think, Kierra?
- I think 31 over 100.
- 31 over 100 is much easier 
to tell the percent, all right?
50 actually is not that 
hard to tell the percentage, 
but not as easy as 31 over 100.
I want you to right now, 
write down what percent you think,
what percent of the people 
in Bailey voted yes.
We know 31% voted yes in 
Whitehills because it was 31 out of 100.
[Students working problems on whiteboards]
Juan, that's what that line is for.
You should have 100 right here.
That's what I was talking 
about, write it right there.
All right. We're actually going to come,
we're going to come back to that.
Hold that thought.
These are percent bars. When we 
talk about partitioning, right?
These are the percent bars.
If this was a fraction bar,
let's just say it's a fraction bar,
what would this particular 
point be the very beginning?
What would we label 
that if it was a fraction bar?
Yeah.
- 0%.
- You would name it 
0% if it was a fraction bar?
- 0 out of 100.
- Which is 0, right?
All right?
What would this end 
be if it was a fraction bar?
Desiree?
- 100%.
- Say it again?
Fraction bar.
- Oh, 100.
- You're not wrong, but 
it'll be 100, right?
I'm sorry, actually if it's a fraction 
bar it wouldn't be 100.
It will be what?
- One.
- It will be one, all right?
Because remember, a fraction is a part of a whole,
part of a whole there.
If this was a decimal bar,
what would this be?
- 0.
- Still it'd be 0.
What would this be?
- One.
- 1.0. Same thing, right?
If it was a percent bar,
the beginning again would be what Naisha?
- 0.
- And the end?
- 100%.
- 100%.
 What would the halfway 
mark be if it was a fraction?
A fraction. Kierra,
what would the halfway mark here be,
which is probably about right here?
- What do you mean?
- Halfway, halfway between zero and one.
If it was a fraction.
If it took you one mile to 
get to school and you walked halfway,
how many miles or what 
part of a mile did you walk?
- One?
- You walked one mile if you walked halfway?
- I walked a half?
- Half. So as a fraction,
what's halfway?
- Half?
- Half. You don't have to ask the question,
you just said it.  Half.
This will be one half.
What would this be as a decimal?
What would it be as a decimal?
Luther.
- Five hundredths.
- Five hundredths?
No, it wouldn't be five hundredths.
- Five tenths?
- Five tenths or 
fifty hundredths, right?
The five hundredths is 
not even one tenth, all right?
And as a percent,
what would that be?
Ashanti.
- 50%.
- 50%, cool.
I'm going back to fractions.
Fractions, what will be halfway 
between zero and one half?
Halfway between 
zero and one half,
so I guess I'm talking 
about somewhere around right here.
Don't mistake that for a one.
That's not a one.
It's just right here.
What will that be, Samantha?
- One fourth?
- One fourth.
What decimal would that be, Tazia?
- Twenty-five hundredths.
- Twenty-five hundredths.
What percent would that be?
Joya.
- 25%.
- 25%. Halfway between 
half and one.
Halfway between half and one, Caleb.
- Three fourths.
- Three fourths.
What decimal would it be?
Kierra?
- Seventy-five hundredths.
- There we go. Seventy-five hundredths 
and the percentage would be what?
Uchachi?
- 75%.
- 75%. All right,
keep that in mind, all right,
keep that in mind, because we have a... 
I think I have one more.
No, I think it's on the other page that says,
"Working with percents." 
Turn it over to where it says,
"Who is the better free throw shooter?"
Who knows what a free throw is?
Better yet,
who does not know what a free throw is?
Don't be shy in raising your hand.
Well, your brother plays 
basketball and you're a cheerleader,
you watch basketball.
Don't you have a free throw?
Mister Miss It.
What are they doing?
What are they doing when they talk about this?
It's a foul shot.
Foul shot, free throw.
Do you know what a foul shot is?
- Yes.  
- That's a free throw.
That's when you stand on the line,
you get fouled,
you stand at the line during basketball,
the other guys stand 
around what's called the lane, 
and they shoot free throws.
They get fouled, they get...
Sometimes they get three shots 
if they get fouled on a three pointer,
two shots for a regular shot 
or it might be one and one
if the team's in the bonus.
Don't worry about that.
But free throws.
I don't know who 
watches a lot of basketball,
but you should've heard of the two 
people on this paper. All right?
Who's the better 
free throw shooter?
We're talking about Dwight Howard.
Who's heard of Dwight Howard before?
You never heard of Dwight Howard?
Did you ever heard of Yao Ming?
You heard of Yao Ming?
That's funny, because I replaced 
Yao Ming's name with Dwight Howard 
because I didn't think 
anybody heard of Yao Ming before.
And everybody should've 
heard of the other guy underneath here.
Shaquille O'Neal.
All right, all right.
Who's the better 
free throw shooter?
Right now, right now,
we're going to use our percent bars
to figure out who's 
the better free throw shooter.
If you look there at the top, 
you'll see the made
number of free throws 
and the number of free throws shot.
Then you'll see the bar.
You'll see 100, you'll see 0% and you'll 100%.
- Do you see that?
- Yes.
- It should be 0% down here and then 100% down here.
Do you see that?
- Yes.
- Yes.
Above that, you see the number,
excuse me, 371,
That's for... Who's that?
Dwight Howard?
- Yes.
- You see number 371.
Now, from 0% to 100%,
If... This is the number...
Who knows what this number is?
This is the number of what?
- Shots.
- The number he made or the number...?
- Altogether, yeah.
- The shots he attempted,
shots he took altogether, all right?
If he made all 371 of his shots,
how much of this bar would I shade in?
Raise your hand.
If he made all 371 of his shots,
how much of that bar would be shaded in?
Ashanti.
- Whole.
- Whole.
Let me try that again.
How much of that bar 
would be shaded in?
- 100%.
- 100%? Or I would've taken 
if you said the whole bar, 
but don't say whole, you're 
just saying words, all right?
The whole bar would
be shaded in, all right?
Everybody agree?
- Yes.
- If he made half of those free throws,
I guess I'm telling you,
how much would be shaded in?
- Half.
- And if he made none of them,
if he missed every single one,
how much would be shaded in?
- None.
- None of them.
It would be a zero, all right?
You see the number he made?
- Yeah.
- All right, keep that in mind.
Let's go on to the next one.
Look at Shaq's.
Shaq has what,
how many free throws?
- 725.
- This is a low one. He shot 725.
That isn't...he didn't make 725, right?
- No.
- No, but he shot 725 
because he gets fouled a lot.
He shot 725 free throws, all right?
Again, if he made all 
of the free throws,
what part of the bar would be shaded in?
The whole bar.
Half of them,
half the bar,
none of them,
none of the bar.
Of course, it'd be a zero.
I want you to get with 
your group using that bar
and I want you to figure out who 
the better free throw shooter
 of the two are and why.
I need to know which 
strategy you use to figure out why.
I want you to use the bar.
You can simply estimate here.
I don't need you to tell me exactly.
I just need you to tell me 
who the better free throw shooter is
and how you could 
tell by using the bar.
I don't need you to tell me 
Shaq shot X percent.
I just need to know where 
these shots would be at on this bar.
Where would Shaq's 
shots be on the bar,
where would Dwight Howard's shots be on the bar, 
the made shots.
Where would they be on that bar?
[Students discussing]
Where would Dwight Howard's...
Where would it be approximately
on the percent bar?
[Students discussing]
Okay, judging by the percent bar,
who do you think is 
the better free throw shooter?
Shaq shot 725;
Dwight Howard shot 371.
How many did Dwight Howard make?
- 301.
- 301. Come tell me where you 
think Dwight Howard's will go.
301 free throws.
- Right there.
- Okay, write 301.
Okay. What about Shaq?
Shaq shot what?
400 what?
I mean, he made how many?
- 451.
- 451.
- It's about right here.
- For 451.
- I think it's like a little up.
- A little closer?
[Students calling out]
That's what she said. 451?
51? Okay.
Okay, anyone who thought, 
who has anything similar to this,
you're absolutely right.
Who's the better free throw shooter?
- Dwight Howard.
- Dwight Howard, all right.
Now, Shaq actually made more free throws 
than Dwight Howard shot.
He made more free throws 
than Dwight Howard shot. 
Why are we saying that Dwight Howard
is a better free throw shooter?
Yes.
- Shaquille O'Neal made 
more free throw shots,
Dwight Howard is still closer to the 
amount of shots he made in all.
- Which is closer to...?
- Yeah, he's closer to 100%.
- He's closer to 100% than Shaq is.
Would everybody agree with that?
- Yes.
- With that said,
I want you to figure out right now 
which neighborhood 
was more in favor?
Knowing what you know now.
All right, you said 
this is 13%, all right.
13% is almost one tenth, right?
That sounds like one tenth of the people?
17 out of 50 people?
I'm just asking. 
[Students talking quietly]
So does that sound 
like close to 10%?
I'm just asking and 
I'll let you figure out the rest.
[Students writing on their papers]
I see some people 
using our percent bars,
I see some people 
using other strategies, that's fine.
Because I see more people 
with the correct answer than I don't.
Okay. Okay.
Again, we know the percentage of 
people that said yes in Whitehills,
that was 31%, right?
I guess I want to know, what 
percent do you think said yes in Bailey?
Some people said... Well,
I had a couple of different answers.
I'm going to write the ones I have right here.
For Bailey I heard 13%.
I heard... What else?
Didn't somebody have 17%?
I saw 17%, no?
- I did, but when I did it 
the correct way I had 13%.
- 13%.
- Yeah, but at first I had 17%.
- Okay. And I also saw 34%.
Most people had 34%.
Who has 34%?
Did anyone have anything other than 13% and 34%,
any other percentage?
[Students calling out]
We will get to that in
one second, all right?  Okay.
Most people got it right.
It would be 34%,
which means which neighborhood 
that was more favorable?
- Bailey.
- Bailey, all right.
Now, why we chose... 
Why did we get... How did we get 34%?
Jessica.
- Well, what we did,
we did 50 divided by 170 is really 17,
but we just added a zero and 
then we got three and 3x50=150,
we subtracted that, we got 20. 
And then we added another zero 
and then we knew 50 went into 200 
four times and then that's 200.
And then we got, we added a decimal 
in front of 34 and that's how we got 34%.
- All right, you just said earlier,
before you said that,
you said you did something else.
- Oh, the least common denominator.
- You found the least 
common denominator.
She found the least common denominator of 150,
which is simply what?
- 100.
- 100.
It's 100 so that would make this 34% 
even though it's 17 out of 50 people,
it will make it still 34%,
34 out of 100, all right? 34%.
So even though they 
were close on your percent bar,
did you look at them 
on your percent bar?
Sabrina, when you got them on 
your percent bar, were they close?
Were they close on the bar?
Was Bailey closer to its goal?
Was Whitehills closer to... 
Which was closer to its goal?
Bailey was a little closer
to its goal, right?
All right, so that's what 
you should've gone with.
All right, so that's why I ask... 
The answer is 34%.
That's a good job.
Last thing here,
you're going to work together 
in your group for the first one
and then if, hopefully we'll have time, 
and we're going to chart these 
and put them on the board.
These are more free throws.
[Teacher handing out worksheets]
In this particular case,
you have the Portland Tigers 
and the Cold Water Colts.
The Portland Tigers have a chance,
have a chance to shoot free throws.
Someone got fouled and they were hurt,
they didn't get a chance to shoot it.
When that happens, 
they get someone else
into the basketball game
to shoot for you.
The Colts gets a chance,
the score is tied, all right?
Everyone knows what tied means?
The score is, let's say it's 60 to 60,
all right?
The coach now has to 
pick someone off the bench
to shoot free throws 
to win the game, all right?
The Portland Tigers, 
he has to choose between... 
I'm saying he, 
it could be a she as well.
The coach has to choose 
either Angela, Emily, or Christina.
You have to figure out 
who the coach should choose.
Angela has made 12 
out of 15 free throws,
Emily has made 15 
out of 20 free throws
and Christina has made 13 
out of 16 free throws.
It says, "Which player should
the Portland coach select 
to make the free throw attempt?
Why? Explain with your group."
I'm going to give you some chart paper.
Who should shoot and why?
Take everything we learned about percents,
fractions, decimals.
I want you to come up with 
the best strategy to figure out
who the coach should select.
So now what are you going to do?
You have to come up with a strategy.
We just did... We've done fractions,
we've done decimals,
now we've done percents.
Shouldn't that help you identify 
who's the good free throw shooter
or how one's shoots 
compare to the other?
- Yes.
- So, what do you want to do?
- Decimal.
- I don't... I'm waiting for you to tell me.
I'm not going to tell you.
She made 12 out of 15. "Out of"
should be something that jumps out to you.
- She got fouled less.
- No, it doesn't matter
who got fouled less.
We're talking about she shot... 
She made 12, she shot 15.
What is 12 out of 15 mean to you?
Does that ring any bells?
12 out of 15?
Can't you make that into a fraction?
Can't you make it into a percent?
If you got 12 out of 15 wrong on a test,
wouldn't you be able to figure that out?
- Yes.
- All right then.
I meant to say right, not wrong.
All right, we're going 
to wrap this up now.
This is pretty much 
almost after school.
We'll get back to this tomorrow.
You're going to take... You're going to 
actually take this one home,
and you're going to do this 
one for homework, all right?
Then I'll let you come back 
with your group tomorrow,
and see what you guys 
agree on or disagree on
I have a couple of ACE questions 
I want you to do as well.
Less talking and write this down.
[Teacher writing on whiteboard.]
