- All right.
Let’s have some presenters.
Really? It’s okay?
Alright, go on up,
go on up.
All right, so using our purple prompts,
would you like to make a comment,
ask a question?
Ellie, will take those comments when she is ready.
- Why don’t you combine the 6x2 with the 17x?
- Because you can’t do it like these two
like how it is combine like terms,
these aren’t like terms.
- Because it’s squared?
- Yeah. Because like one is squared
and this one is just regular.
- She obviously can’t see.
Would you please explain why you got 6x2?
- Because it’s 12 or 12--2x + 6x so x times x is x2.
- Oh.
- Ellie I noticed or I wondered, did you say 2x times 6x?
Times 3x? Okay.
Okay..okay, okay.
Just so everybody is clear.
Right, right,right
- What?
- 2x times 3x,
positive 2x times positive 3x.
Vinnie, what is that?
- What? Oh, Are you asking me?
- Positive 2x times positive 3x?
- 6x2.
- Perfect.
What other questions do you have for Ellie?
- Good job Ellie.
- Are we ready? Okay,
thanks Ellie.
All right.
Adam has so graciously volunteered
to present number two.
- I dont want to.
- It sure felt like you volunteered.
- No, you chose me.
- Adam, may we stop you for a moment
and have you tell us what you did
and why you did it?
- I divided 2 by 24 and 70,
and 2 and it gave me a half of both of 70 and 24
and then I put it back into the equation.
- Is there anything you noticed that we need up there?
- What?
- We're missing, we are missing something.
Got it, okay, okay
All right, we’re ready.
- Well this is as far as I got.
- Okay
- And I found the two numbers that when added make 12
and when multiplied make 35
and it's 5 and 7 and that's how far i got.
- Well, gee, that's quite a ways.
So we can factor this trinomial,
trinomial into a product, product meaning multiply,
of two binomials, binomial meaning two terms.
So how should we start?
Give Adam some advice.
How should we start?
- It’s kind of hard.
- We can do hard stuff. We can do it.
So ultimately, what form do we want?
- Binomials.
- Two binomials,
so why don't we start just by
creating the space for the two binomials?
Why don't we start with the parenthesis,
two sets of parenthesis?
Okay.
Adam, are you able to take it from here?
- Can I watch?
No, not really.
- All right, so let’s ask someone else.
Where do we go from--
- I have a question.
- Yeah, Melanie please.
- What’s the 5 and 7 for?
- Okay. Adam,
what’s the 5 and 7? They want to know.
- When they’re both added they equal 12
and when they're both multiplied they equal 35.
- Can you repeat it--
- When 5 and 7 are added they equal 12
and when they're multiplied they equal 35?
- Does that help?
- Yeah.
- So let’s fill in the two sets of parenthesis.
Where shall we start?
Yes, yeah,
don’t be shy. You folks know this.
We’ve done this before.
What do you say Jose?
- I’m guessing the 5 and the 7, put them inside the parenthesis.
- Fine, fine.
- 5 and a 7.
- Is that what you were thinking?
- Well I don’t know how to explain that but—
- You want go up and help?
- Just I don’t know what it’s supposed to mean.
- Go help him, go help him.
You can do it. Come on,
it’s okay. We can do it.
I’ll take your seat while you’re gone.
- What I was saying is that
because the 5 and 7 were right here so what I was thinking
is just put the 5 inside of here
and like he gave, just put the 7 inside of there.
- So, will you write it how you thought?
Please.
- No, that’s what I was basically—
- Oh, is that what you’re saying?
Does everybody agree?
- Yes.
Yes?
- No.
- Absolutely everybody?
- Sure.
- Where is the "m"?
Where does the "m" go?
- In the parenthesis?
- Okay, go show.
Where in the parenthesis?
We got to get some "m’s" in there.
- Right here?
- Where at?
- Just put one in each.
- Yeah.
- Yes?
- Sure.
[teacher laughing]
Anybody else?
Is it time for me to step in and--
- Yes!
- I got everything twisted.
- You’re all just twisted up, okay,
all right. Anybody else?
All right, I’m only going to provide a small bit of help.
Don’t leave please.
Oh, we’re going red this time.
- Can Jose sit down?
- No.
No, we’re a team up here,
we’re not going anywhere.
You say 5 and 7?
- Yeah.
- Yes.
- Because they all have to be negatives?
- Why?
- Because the 12 is negative?
- Okay, so--
Where do you want the gentlemen to put those terms?
- Why did you write the numbers like that? Inside a parenthesis,
why did you write one at that end and the other one at that?
- We want a product of two binomials,
so binomials meaning there are two terms inside some terms plus
or minus some other term times another binomial.
Ellie's got her hand up.
-So, Would one of them have to be positive
and one of them have to be negative because
if you do two negatives it'll be a positive when you multiply them.
- So, you want two positives or two negatives or one of each?
- One of each.
- Okay, Alex.
- Two negative because a positive times a negative is a negative.
- Exactly.
- Yeah, if have to be a negative for it to be--
- No because he has 35 or the last part is a positive 70.
- You were talking about negative 12 earlier.
- Well, I don’t know.
- They both have to be negative, I think.
- All right, we got a hand raised.
Go ahead my friend.
- I agree with Alex that they both have to be negative
because you said that when they add together
they have to equal negative 12
and when you multiply them it has to equal positive 35
and if they're both negative then negative 5 plus negative 7 is negative 12.
Then negative 5 times negative 7 is positive 35.
- Well, I’m not certain,
but I think you need to get up here. I’m thinking we need you.
Come on up. Come on.
All right. Let’s see what you think.
All right, the team of three,
let’s finish this up. What do we have?
I heard we’re supposed to have some "m's"
- Yes.
- Okay, where do you want to put those Adam?
- In the parenthesis?
- In the parenthesis.
- Fantastic, let’s do that.
So, are we okay?
Something’s missing.
We're missing something.
What are we missing?
- I don’t see negative 12m in there or--
- So you, yeah,
go ahead Adam, what’s missing?
Okay, so let’s put the two in
and it was on the outside of the trinomial,
let’s keep it on the outside of the two binomials.
All right,
Amy has a question for you Adam.
- So, when you go from like,
if you're going because you have to multiply negative 5 times negative 7,
how are you going to get 12?
- Well, let’s check and see if we’re right.
Let’s do the opposite of factoring which is expanding.
So, all right,
who’s multiplying?
Draw in the arrows.
Go ahead, go ahead Adam.
Draw your arrows
and let's work through this kind of quickly.