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NationalTutoringObservatory
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MathEd-PII

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8
student
no
16,453
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volunteer
All right, so a sign chart is basically you would plug in numbers that are.
16,453
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[]
student
next one
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volunteer
less than and or greater than a certain amount. So let's say, so what is the lowest value here. It would be 2, right?
16,453
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student
Oh yeah
16,453
817
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volunteer
Because X + 2.
16,453
818
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student
Yeah. Oh wait, but I put 2 right here.
16,453
819
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student
Is this wrong
16,453
820
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volunteer
No, no, yes, that is wrong.
16,453
821
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volunteer
Cause it would be negative too, right? Cause X + 2, well, how would you do that equals 0?
16,453
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student
Oh, cause I was doing negative X ma'am, so.
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volunteer
Yeah, no, ignore that negative sign until we do the sign chart, because if that negative sign isn't attached to anything, the zeros would be the same.
16,453
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student
OK, so
16,453
825
[]
volunteer
right? So if it's negative 2, that means pick any number
16,453
826
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volunteer
that's lower than -2, and plug it into all of them, and you would just find out if it's positive or negative.
16,453
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student
so negative 2, so like -4.
16,453
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volunteer
Yeah, sure. But even if so, so you just know that -4 + 2 is still negative, right?
16,453
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student
Yeah
16,453
830
[]
student
2 negative
16,453
831
[]
student
Oh.
16,453
832
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volunteer
And then so it'd be negative and then -4 minus 1 is negative and then -4 minus 6 is still minimum, but it's squared, so that would be positive. So it would be a negative times a negative times a negative times a positive, which would be
16,453
833
[]
student
So negative times the negative times the negative.
16,453
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[]
student
times a negative would be positive.
16,453
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[]
volunteer
no, it would be. Where'd you get the 4th negative from? because remember it's negative and
16,453
836
[]
student
cause it's, it's squared.
16,453
837
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volunteer
yes, which means it would be positive.
16,453
838
[]
student
Well, I thought when it's squid, it's by the same thing, so right
16,453
839
[]
student
oh yeah
16,453
840
[]
volunteer
So then click that area.
16,453
841
[]
volunteer
and then that would be minus, right?
16,453
842
[]
student
Yeah
16,453
843
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volunteer
All right, and so now choose a number between 2 and 1. I like 0.
16,453
844
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volunteer
Yes
16,453
845
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student
OK, I'm confused. So, from the negative2,
16,453
846
[]
student
it will be minus because negative
16,453
847
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volunteer
because we choose a number that's lower than -2, and we plug it in each functions.
16,453
848
[]
student
and then when you, so it was negative here. It was negative here.
16,453
849
[]
student
So was it, what was it? Was it positive here?
16,453
850
[]
volunteer
Yes, because even if it's -10, the final one, it would be square, which is always positive.
16,453
851
[]
student
Oh, so, oh, so was this
16,453
852
[]
student
this was the first negatives
16,453
853
[]
volunteer
Yep.
16,453
854
[]
volunteer
yep
16,453
855
[]
volunteer
yep
16,453
856
[]
student
This one right here. So negative times negative times negative, times a positive positive, it's still negative.
16,453
857
[]
student
Yeah
16,453
858
[]
volunteer
because it would always be positive because it's squared.
16,453
859
[]
student
Yeah, OK.
16,453
860
[]
volunteer
All right, so what would this one be then? If so let's choose a number between 2 and 1. I like 0 because 0 is easy.
16,453
861
[]
student
0, yeah
16,453
862
[]
volunteer
So that would mean that if it's 0 + 2, that's positive, right?
16,453
863
[]
student
Positive.
16,453
864
[]
volunteer
And 0 minus 1 is negative, and then
16,453
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[]
student
negative
16,453
866
[]
volunteer
X minus 6 squad is positive.
16,453
867
[]
volunteer
which would be
16,453
868
[]
student
So negative times of positive, times are negative, times are positive, negative.
16,453
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[]
volunteer
would it be negative
16,453
870
[]
student
Would it be, would it? Cause negative times and positive is a negative.
16,453
871
[]
student
and the ne.
16,453
872
[]
student
positive
16,453
873
[]
volunteer
But then it would be negative times a positive again, which would be a negative times a negative, which is positive.
16,453
874
[]
student
times of positive, so positive.
16,453
875
[]
volunteer
Yup.
16,453
876
[]
student
And then we could do too.
16,453
877
[]
volunteer
And now we have to choose a number between 1 and 6.
16,453
878
[]
student
to, no one.
16,453
879
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volunteer
Well, it has to be greater than one, yup.
16,453
880
[]
volunteer
Yep
16,453
881
[]
student
Oh, between, between. So it's 22 + 2 is 4.
16,453
882
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student
A
16,453
883
[]
student
so positive
16,453
884
[]
volunteer
4, and then that would be 1, and then that has to be positive, right? So it'd be negative times positive times positive positive.
16,453
885
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volunteer
So positive. And then the other one would also be negative times positive, positive, positive.
16,453
886
[]
student
This one
16,453
887
[]
volunteer
Yep.
16,453
888
[]
volunteer
because it still has to be positive.
16,453
889
[]
student
Oh.
16,453
890
[]
student
Well, yeah
16,453
891
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volunteer
right? So let's just plug it in. Let's plug in 10.
16,453
892
[]
student
low
16,453
893
[]
student
OK
16,453
894
[]
student
+.
16,453
895
[]
volunteer
10 + 2 is 12, positive, and then 10 minus 1 is positive and then 10 minus 6 is positive, squared is still positive.
16,453
896
[]
volunteer
So it'd be negative times 3 positives would be a negative.
16,453
897
[]
volunteer
Uh oh, what did I do
16,453
898
[]
volunteer
Mm
16,453
899
[]
student
Sure see the examples.
16,453
900
[]
volunteer
wait, what? OK, so let's try it again. So
16,453
901
[]
volunteer
that'd be negative times negative times the negative times a positive. So that's negative. That's right.
16,453
902
[]
student
Do we get the numbers wrong
16,453
903
[]
volunteer
Huh
16,453
904
[]
student
Do we get like the plotting one.
16,453
905
[]
volunteer
I don't believe so. You did, um, what, what, what spaces did you do it? It's too small on my screen.
16,453
906
[]
student
uh we did what, right?
16,453
907
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volunteer
-2, 1 and 6.
16,453
908
[]
student
Yeah.
16,453
909
[]
volunteer
Yup, that's right
16,453
910
[]
volunteer
And so now let's plug in 0. So that would be
16,453
911
[]
volunteer
negative times A positive times of negative times of positive. So that's positive.
16,453
912
[]