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Topic: Alg2Trig exam
Replies: 29   Last Post: Jun 23, 2011 10:30 AM

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L.C.

Posts: 133
Registered: 12/3/04
RE: Alg2Trig exam
Posted: Jun 21, 2011 8:18 PM
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NYS is killing me!!

I have been teaching for 22 years. It is my passion..everybody knows
it..friends..relatives..coworkers..my students

They want to "grade" me on how my students do on the assessment
tests....Can they make a fair test???? Do they have to jam pack the
curriculum so I have to teach at lightning speed and hope my students
catch everything!!

This has to change!! My school is 7-12. This year I taught 7th grade
as well as Alg 2/Trig. Both courses were miserable. I had to fly
through topics and felt all along that it is so unfair to my students.
There was nothing I could do about it. On the 7th grade assessment
Question: Which is not a polynomial? choices A) 4 B) 4x/y
C) 3x + 5 D) 4xy. I understand that the answer is B by definition
but the question should have said Which is not a monomial???

Sorry for the ranting. I can't take this. I wish there is something I
could do.



On Tue, Jun 21, 2011 at 7:44 PM, Meg Clemens wrote:

The scoring guide for #16 gives both 1 and 3 as correct choices. I
can?t believe this was deliberate so I suspect this was a poorly worded
question and the key was fixed after the tests were all printed and the
question couldn?t be changed.

Meg

From: owner-nyshsmath@mathforum.org
[mailto:owner-nyshsmath@mathforum.org] On Behalf Of Evan Romer
Sent: Tuesday, June 21, 2011 7:05 PM
To: nyshsmath@mathforum.org
Subject: Re: Alg2Trig exam

I think the SED scoring team should expect a bunch of calls tomorrow. I
think the scoring guide needs clarification or changes for several
questions.
On Tue, Jun 21, 2011 at 5:34 PM, Meg Clemens < mclemens@twcny.rr.com
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')> >
wrote:
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
#16) 2 correct answers to a question! ...
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>

<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
I don't have the scoring guide, but if it doesn't accept both answers
it's simply wrong: both #1 and #3 are equivalent and SED needs to issue
a scoring update. (It didn't ask for simplest form: it said
"equivalent.") And even if SED marks both correct, that was needlessly
confusing to students, and upsetting for some.
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>

<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
#19) I know #3 is the least wrong but I think y = cos^-1 (x) implies a
function and graph #3 does not have a restricted range.
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>

<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
Either the range is restricted to make it a function, so the range is
[0,pi], or the range is not restricted and the range is (-inf,inf).
There is no interpretation that makes any of the given choices correct.
On the other hand, I don't see that this will lead students astray: even
if they know it's wrong, #3 is clearly "least wrong."
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>

<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>

<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
#30) I?d like to give full credit to an equation with either y = x^2 ?
6x ? 27 or 0 = x^2 ? 6x ? 27.
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>

<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
From NYS Glossary for A2T:
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>

<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
?root of an equation (A) ( A2T) A solution to an equation of the
form f ( x ) = 0.
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>

<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
Example: A root of the equation y = 6 x ? 18 is 3 because when 3 is
substituted in for x , the value of y = 0.
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
Example: The roots of are and . The equation is true if we
substitute either or into the equation.?
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>

<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
I'm a little unclear myself on "root of an equation" vs. "zero of a
function" vs. "root of a function." etc. ( Steve Goldman's can of worms
in a separate message.) But that glossary entry is unambiguous: both of
Meg's answers should be accepted.
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
#32) Doesn?t using f^-1(x) imply that answer should be a function? I
think stating just one branch of the inverse of the parabola should be
accepted. Really, there should be a stated domain restriction so it is
clear which branch to choose.
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>

<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
I agree. If the question said "find the inverse," then the inverse could
be a relation, not a function, and the only correct answer would be both
branches: plus/minus sqrt(x+6). But f^-1(x) implies an inverse
*function*, so the only actually correct answer is "no inverse
function." But that's not what the question intended, so SED should
accept both +sqrt and +/-sqrt, and they should accept "no inverse
function." (And they should accept -sqrt from the student who is
mathematically confident enough and deliberately contrarian enough to
give that answer.)
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>

<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
On #31, I think I agree with Cindy Kohl: what work is needed?? But I
don't teach A2T: for a plug-it-in-to-the-calcualtor question, is the
student expected to say what she did on her calculator?
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>

<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
And I'll add one more: I'm not very happy about #27. Just looking at it,
it looks like either a log function or a sqrt function (0.5 power), so
either a log or power regression seems reasonable. Sqrt would go through
the origin and log would not, but can you tell if that scatter plot goes
through the origin or not? I can't.
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
If I take the time to type all the data into my calculator and
do the regressions, log is clearly better. But was the student expected
to do that?
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>

<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
Finally agree with Jonathan Halabi:
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>

<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
> I have no confidence in the ability of NYSED to produce a good
> examination in
> <javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
> mathematics.
> <javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>


<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
And I think our A2T teachers will agree with Lin Chen:
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>

<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
> Did I miss a memo about a new curriculum named
> <javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
> "Algebra 1.5 with limited Trig" between Algebra I
> <javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
> and Algebra II?
> <javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>


<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
Evan Romer
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
Susquehanna Valley HS
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
Conklin Ny
<javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')>
<DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0">NYS is killing me!!</FONT></DIV><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0"><br></FONT><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0">I have been teaching for 22 years.&nbsp; It is my passion..everybody knows it..friends..relatives..coworkers..my students</FONT></DIV><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0"><br></FONT><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0">They want to &quot;grade&quot; me on how my students do on the assessment tests....Can they make a fair test???? Do they have to jam pack the curriculum so I have to teach at lightning speed and hope my students catch everything!!</FONT></DIV><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0"><br></FONT><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0">This has to change!!&nbsp; My school is 7-12.&nbsp; This year I taught 7th grade as well as Alg 2/Trig.&nbsp; Both courses were miserable.&nbsp; I had to fly through topics and felt all along that it is so unfair to my students.&nbsp; There was nothing I could do about it.&nbsp; On the 7th grade assessment&nbsp; Question:&nbsp; Which is not a polynomial?&nbsp; choices&nbsp;&nbsp; A)&nbsp;&nbsp; 4&nbsp;&nbsp;&nbsp; B)&nbsp; 4x/y&nbsp;&nbsp;&nbsp; C)&nbsp; 3x + 5&nbsp;&nbsp;&nbsp; D)&nbsp; 4xy.&nbsp; I understand that the answer is B by definition but the question should have said Which is not a monomial???&nbsp; </FONT></DIV><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0"><br></FONT><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0">Sorry for the ranting.&nbsp; I can't take this.&nbsp; I wish there is something I could do. </FONT></DIV><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0"><br></FONT><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0"><br></FONT><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0"><br></FONT><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0"><br></FONT><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0"><br></FONT><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0"><br></FONT><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0">On Tue, Jun 21, 2011 at 7:44 PM, Meg Clemens wrote:</FONT></DIV><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0"><br></FONT><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="2" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp;<FONT SIZE="3">The scoring guide for #16 gives both 1 and 3 as correct choices.&nbsp; I can?t believe this was deliberate so I suspect this was a poorly worded question and the key was fixed after the tests were all printed and the question couldn?t be changed. </FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT SIZE="2"></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">Meg <FONT SIZE="2"></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT SIZE="2"></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0"><B>From: </B>owner-nyshsmath@mathforum.org [mailto:owner-nyshsmath@mathforum.org] <B>On Behalf Of </B>Evan Romer </FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0"><B>Sent: </B>Tuesday, June 21, 2011 7:05 PM </FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0"><B>To: </B>nyshsmath@mathforum.org </FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0"><B>Subject: </B>Re: Alg2Trig exam <FONT SIZE="2"></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT SIZE="2"></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">I think the SED scoring team should expect a bunch of calls tomorrow. I think the scoring guide needs clarification or changes for several questions. <FONT SIZE="2"></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">On Tue, Jun 21, 2011 at 5:34 PM, Meg Clemens &lt; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""><U>mclemens@twcny.rr.com</U></A></FONT>&gt; wrote: <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">#16) 2 correct answers to a question! ... <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">I don't have the scoring guide, but if it doesn't accept both answers it's simply wrong: both #1 and #3 are equivalent and SED needs to issue a scoring update. (It didn't ask for simplest form: it said &quot;equivalent.&quot;) And even if SED marks both correct, that was needlessly confusing to students, and upsetting for some. <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">#19) I know #3 is the least wrong but I think y = cos^-1 (x) implies a function and graph #3 does not have a restricted range. <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">Either the range is restricted to make it a function, so the range is [0,pi], or the range is not restricted and the range is (-inf,inf). There is no interpretation that makes any of the given choices correct. On the other hand, I don't see that this will lead students astray: even if they know it's wrong, #3 is clearly &quot;least wrong.&quot; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">#30)&nbsp; I?d like to give full credit to an equation with either y = x^2 ? 6x ? 27 or 0 = x^2 ? 6x ? 27.&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">From NYS Glossary for A2T: <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0"><B>?root of an equation </B>&nbsp; <I>(A) </I>&nbsp; <I>( A2T)&nbsp;&nbsp; </I>A solution to an equation of the form <I>f </I>( <I>x </I>) = 0. <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0"><B>Example: </B>&nbsp; A root of the equation <I>y </I>= 6 <I>x </I>? 18 is 3 because when 3 is substituted in for <I>x </I>, the value of <I>y </I>= 0. <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0"><B>Example:&nbsp; </B>The roots of&nbsp; are&nbsp; and .&nbsp; The equation is true if we substitute either&nbsp; or&nbsp; into the equation.? <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">I'm a little unclear myself on &quot;root of an equation&quot; vs. &quot;zero of a function&quot; vs. &quot;root of a function.&quot; etc. ( Steve Goldman's can of worms in a separate message.)&nbsp; But that glossary entry is unambiguous: both of Meg's answers should be accepted. <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">#32) Doesn?t using f^-1(x) imply that answer should be a function? I think stating just one branch of the inverse of the parabola should be accepted.&nbsp; Really, there should be a stated domain restriction so it is clear which branch to choose. <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">I agree. If the question said &quot;find the inverse,&quot; then the inverse could be a relation, not a function, and the only correct answer would be both branches: plus/minus sqrt(x+6). But f^-1(x) implies an inverse *function*, so the only actually correct answer is &quot;no inverse function.&quot; But that's not what the question intended, so SED should accept both +sqrt and +/-sqrt, and they should accept &quot;no inverse function.&quot; (And they should accept -sqrt from the student who is mathematically confident enough and deliberately contrarian enough to give that answer.) <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">On #31, I think I agree with Cindy Kohl: what work is needed?? But I don't teach A2T: for a plug-it-in-to-the-calcualtor question, is the student expected to say what she did on her calculator? <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">And I'll add one more: I'm not very happy about #27. Just looking at it, it looks like either a log function or a sqrt function (0.5 power), so either a log or power regression seems reasonable. Sqrt would go through the origin and log would not, but can you tell if that scatter plot goes through the origin or not? I can't. <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; If I take the time to type all the data into my calculator and do the regressions, log is clearly better. But was the student expected to do that? <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">Finally agree with&nbsp; Jonathan Halabi: <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&gt; I have no confidence in the ability of NYSED to produce a good examination in&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&gt; mathematics. <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">And I think our A2T teachers will agree with Lin Chen: <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&gt;&nbsp; Did I miss a memo about a new curriculum named <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&gt; &quot;Algebra 1.5 with limited Trig&quot; between Algebra I&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&gt; and Algebra II?&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">&nbsp; <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">Evan Romer <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">Susquehanna Valley HS <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV><DIV ALIGN="LEFT"><FONT FACE="Verdana" SIZE="3" COLOR="#000000" LETTERSPACING="0" KERNING="0">Conklin Ny <FONT COLOR="#3333FF"><A HREF="javascript:parent.wgMail.openComposeWindow('mclemens@twcny.rr.com')" TARGET=""></A></FONT></FONT></DIV>



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