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# Common Core Standards: Algebra (Klasse 8)

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so I'm here with Bill McCollum again and
I thought I would love talk about it what we could talk about
in this conversation is just the notion I love how the Common Core views algebra in
general and then dive deep a little bit into eighth grade because at least as
far as I can read the eighth grade standards that in for the Common Core they seem very close
to two hours were once thought so this is a very high level but what's your
view on that well yeah I would say that be a trade stance campaigning a lot reporting about amber one now algebra 1
soap is not a well-defined time in different states have different
schools and administration means different things certain way if you look at the previous
Minnesota State Standards I have in common core has a and which other current Minnesota State
Fair is become a core has essentially the same decoration is algebra 1 as I stand density and that's mostly in
a trade other statement for and and what what the thinking behind because I me when I grow up I think that
this is still kinda the normal though there have been some escalation where outer one was you know the standard
track was to take that in ninth grade your freshman year in
high school up kinda more advanced to take an 8th grade
sometimes you hear about investors taking in seventh grade susan is a view to kind of make everyone
get on that more advance Trac well I think Common Core tries to strike
a middle ground there I think acceleration is offering
overtime or starting appropriately for students
were not really ready for and where you end up with students come
to college gonna be fragile knowledge of a algebra even though they feature
the Pacers so from court right there say backs Versailles this no possibility
of taking algebra 1 in high school I it's not as if
eighth-grade replaces algebra 1 what happens in high school is your revisit a lot of the ideas in greater
depth for kids who are very a very advanced they can still badass seconding a revision really just to age bad algebra
1 a.m. eighth-grader um by I think we tried to
set a standard should be higher did not push be mathematics so far down
in the middle school that you end up with this fight on all
in Juno previously middle school was often a bit of a character emigrated from and Charlotte quite
understandable that people want to get on to the good stuff AK algebra but now that from or have a lot of really needy
mathematics the kids need I'm a very the delving into proportional relationships I love geometry and so in that case I think saving the
part about Super 14 eighth-grade that appears in the coming partly
because a good middle position there so it's kinda designing that that I have
felt I've observed it even appears even with with people that I've I've worked on but can help them to
their mathematics is that you know from K through seventh grade typically
or even if Griffin on bass track you do a lot of kind of the arithmetic and
pre-algebra skills then all the sudden you go to high school in algebra you not you our 12 pre-caucus
generate all hits all at once trigonometry and and because as you mention a lot of
students and up with a very I call the word Swiss cheese with very
proud knowledge they go to college the matter still
retake developmental math for college algebra and so this is actually kinda giving
more room for algebra so that you hopefully the addition is less fragile
that's why we tryna public or we try to build a brand up to
algebra a lot of kids hit a wall I'm if I could
say well we thought even in kindergarten and first grade when you Booker I reported from that point of
euros properties operations explain we call up
that may be called property I'm operations and algebraic thinking and in
the elementary grades in the Common Core and so that that begins this preparation
a great break is really there culminating great where your making sure
you're ready for algebraic high school and as I said some kid a rare ready to
take out a broad array and I just think there could be a little
bit wives about which kids are really ready and and I guess on a similar notion I'm
see this affects people's notions of algebra 2 and
precalculus per capita the most part is more algebra plus some trigonometry
writer and also even geometry to that starts
getting touched on as well fairly early on what's your view I mean you do see
things are going to change in terms of people for russia's biggest upsets in
the same progressions about to run out over to precalculus but there's going to be more
conscientious of up kinda love you you hit the nail on the head when a
separate chocolates that's not a moral Google+ trigonometry in a perfect world where yeah relearned in the course cold algebra was
a really scary thorough knowledge you wouldn't need a
forceful the chocolate should be able to go straight to talk to us you have to have trigonometry sure you
know a lot of a lot of places algebra 2 has her has a flavor which has created on a tree at every day
you have to do that and then just go straight into calculus
reason P talk does exist it because kids were not really getting
the next 30 understanding about breaking the course is called out over any and so myy I'm years take the course instead you're
learning seriously both for great on developing
point you and also to students studying hard and time take time it pays to learn the subject matter and
then go on to the next subject yeah i know i the focus is a a jumper by
just a to other folks on Al derivatives touch on that only the geometry
standards in the comic or agenda substantive about a that the core
trigonometry in them yes that's right with him which you know
and that there is also some stuff about trigonometric functions in the functions writer so that's what I'm hearing is is
that between the geometry stands on the album standards are collectively giving
you all everything that you need to be college-ready in more advanced courses
especially things like calculus but it still is up to the discretion of
the school's to understand how to spread it out
amongst mocks n years something's going to very fast I get a very strong foundation but the
the emphasis is have a strong foundation that's right exactly go response you can
know it when still learn that it's the worm
subject matter thoroughly and look awesome and and and you know it at the time we
have left you know businesses focus on the it good because that is the first real
deep exposure to these ideas that we hoped dunes get before they get to college
into calculus and you know just looking at the standards and also a conquering as we tried it
implement them create exercises for them you know one thing that popped out my
there's a lot of focus on really students you know into idiot I have have an
intuition for linear relationships grabs and then have taking those ideas a
linear relationships and graft in the later leading to ideas have linear functions
and function generally that fire that's what a lot of States I a lot of schools and districts for
jobless the ball about number one and that's the above the eighth grade
algebra is linear relationships when their functions I'm year regimes
and 12 variables really getting them your bell yeah I mean just who is this is you know
proportional relationship lines is redrawing that connection I linear solving linear equations and
pears a simultaneous linear equations so that's kinda good on me D up area than you not only to solving
them but really thinking about them and I think there's there are some interesting Congress and
the White affix it even construct equations that don't the that have
infinite solutions are one solution or yeah a really having their that's really the core of what are
students need for many different disciplines that they
might be going during college on the high school standards go further
if the exponential functions operatic productions but getting to linear I for
understanding as we near racial even when he approached things
down is is an important component above college readiness and this idea
functions which i think our almost every student
you know that when they first see it usually it may be laid out a row on
algebra 2 like okay you know an hour why did stuff
like writing wise equal to a 3x plus five and now he is the Messiah me to write
this is equal to three experts 5 it looks kinda like an arbitrary a notational change without an
appreciation of what a a function that is really all about Julia mapping
between sets and it looks like the Concours really trying
to make sure people get the Muni well function well that's true
although that's not actually required for the
high school standards in a trade it's not required students
learning the formal fighting notation partly for
the reasons you just K it becomes a notational distraction kids
don't even understand why they're doing it if you start out saying let's understand
a fraction as a thing as a rule that pics inputs
and outputs which could be. expressed using equation
but the stakes of making up what a function is very I you then you don't get distracted
by the notational King James I can come later when she is not there object solemnly a one soon understand they're looking
where then it doesn't seem strange to lose you the letter at for that day rights is really get the
idea of a function before we see this and then and then you can understand what you the
notation starts to make more sense are kinda putting the input inside the box and the dryer outputting or this is this
is this is the definition of what the boxes and the little output a yeah I think in
some left over at the new math maybe that functions but come I'm and obsessive concern too early in the
curriculum I so I think you can go a lot of work
with linear functions you got going through obsessed about the notation but getting
the idea here up a only a fraction and certain nonlinear functions be used
to model relationships between Gary gonna be because I didn't want quality
depends on the other you got an independent variable dependent variable and then the formalities can come later
right adding that modeling point is another thing that you definitely see
the Common Core really emphasizes the say taking you know real hopefully close to real
world situations and actually trying to actual model as opposed to just you know
get automatic way should resolve it yeah molly is a very important
concerning their Concord generally it really comes to reach fruition in
high school wary there's a whole system modeling standards indicated by that modeling star and he didn't expect it to be able to put to
use in mathematics save water drink inning a working with problems rock on
mathematics no yeah now this is very helpful that
thanks so much bill sure