Algebra 2 Plan

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    Algebra 2 Plan

    Week of Monday, 3/14/11

    OBJECTIVE!

    "#den"$ W%ll Be Able To!

    1& 'a("or )olyno*%al e+)re$$%on$

    2& $e fa("or%ng "o $ol-e )olyno*%al e.#a"%on$

    3& %-%de )olyno*%al$, and $"a"e "0e #o"%en" and e*a%nder

    4& A))ly "0e a"%onal ero$ T0eore* "o f%nd "0e ra"%onal fra("%onal& 5ero$ of a

    )olyno*%al f#n("%on6

    CE "andard$! Algebra 2

    3.0 : Students are adept at operations on polynomials, includinglong division.

    4.0 : Students factor polynomials representing the dierence ofsquares, perfect square trinomials, and the sum and dierenceof two cubes.

    A7TICIPATO8 ET!

    Tea(0er 9%ll re*%nd $"#den"$ of "0e )r%*ary *#l"%)ly%ng and fa("or%ng "e(0n%.#e$

    learned %n "0e )re-%o#$ (0a)"er on #adra"%( '#n("%on$, $)e(%f%(ally 'OI: and T0e

    %$"r%b#"%-e Pro)er"y, and "0e re-er$e of bo"0 "0e afore;*en"%oned )ro(e$$e$6

    "#den"$ 9%ll be re*%nded of "0e (r%"%(al d%$"%n("%on be"9een an E

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    Tea(0er 9%ll le("#re and $"#den"$ 9%ll "ake no"e$ on $)e(%al )a""ern$ and "e(0n%.#e$

    of fa("or%ng )olyno*%al$, %n(l#d%ng %fferen(e of T9o .#are$ %n0er%"ed fro*

    )re-%o#$ C0a)"er >&, %fferen(e of T9o C#be$, and #* of T9o C#be$6 Tea(0er 9%ll

    #$e d%fferen" (olor$ and dra9 arro9$ AIE $"ra"eg%e$& "o *odel 0o9 "o "ran$for*

    )olyno*%al e+)re$$%on$ "o be fa("ored %n"o "0e $)e(%al fa("or%ng )a""ern$ l%$"ed

    abo-e, and e*)0a$%5e "0e %*)or"an(e of PP 90en fa("or%ng )olyno*%al e.#a"%on$on "0e lef";0and $%de )re)ara"ory "o $ol-%ng for +6

    Tea(0er 9%ll *odel "0e long;d%-%$%on of )olyno*%al$, #$%ng "0e $"andard )ro(ed#re

    for long;d%-%$%on of n#*ber$ a$ a "e*)la"e for "0e )ro(e$$6 "#den"$ 9%ll be

    re*%nded "0a" %n long d%-%$%on of n#*ber$, $"ar"%ng fro* lef" "o r%g0" "0e .#o"%en" %$

    broken do9n by "0e d%-%$or? "0e $)e(%f%( o)era"%on$ %n-ol-ed are *#l"%)l%(a"%on and

    $#b"ra("%on6 Tea(0er 9%ll "0en *odel 0o9 long d%-%$%on of )olyno*%al$ follo9$ "0e

    e+a(" $a*e )a""ern! $"ar"%ng fro* lef" "o r%g0", break do9n "0e )olyno*%al d%-%dend

    by "0e )olyno*%al d%-%$or, #$%ng *#l"%)l%(a"%on and "ak%ng (are "o a))ly "0e

    %$"r%b#"%-e Pro)er"y, (0ange $%gn$ of )rod#("$ af"er l%n%ng;#) l%ke "er*$ -er"%(ally,

    (o*b%ne l%ke "er*$, and (on"%n#e "0e )ro(e$$ #n"%l "0e e*a%nder )olyno*%al %$ of

    lo9er degree "0an "0e %-%$or )olyno*%al6Tea(0er 9%ll *odel "0e %den"%f%(a"%on of $)e(%al (oeff%(%en"$ . lead%ng (oeff%(%en"&

    and ) (on$"an" "er*& %n a )olyno*%al %n $"andard for*, "0e fa("or%ng of "0e$e

    n#*ber$ )o$%"%-e a$ 9ell a$ nega"%-e&, and "0e "e$"%ng of all )o$$%b%l%"%e$ of

    (o*b%na"%on$ of .#o"%en"$ of "0e$e fa("or$! @ ) / @ . -%a "0e *e"0od of e+0a#$"%on6

    Tea(0er 9%ll *odel "0e %den"%f%(a"%on of 5ero$ of "0e$e )olyno*%al$ #$%ng yn"0e"%(

    %-%$%on #b$"%"#"%on&, a$ a *ean$ of a-o%d%ng "0e -ar%o#$ Order of O)era"%on$

    PEMA& error$ 90%(0 (an ar%$e %n "0e d%re(" $#b$"%"#"%on )ro(e$$6

    IE PACTICE!

    "#den"$ 9%ll be )ro*)"ed "o $ol-e )roble*$ $%*%lar "o "0o$e *odeled by "0e "ea(0er

    %n (la$$, and "ea(0er 9%ll (%r(#la"e "0ro#g0o#" "0e roo* "o (0e(k )rogre$$ of

    $"#den"$6

    I7EPE7E7T PACTICE!

    1& ele("%on of )roble*$ a$$%gned fro* "0e Te+"?

    2& A$$%gn*en" of "0e Babylon%an Me"0od of ol-%ng Polyno*%al E.#a"%on$

    Ma"0 %$"ory ProDe(" on )6 3>1 of "0e Te+"6

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    AEME7T!

    e(ond C0a)"er = #%5, (o-er%ng e("%on$ =64 "0ro#g0 =6= 'a("or%ng Polyno*%al

    E+)re$$%on$ and ol-%ng Polyno*%al E.#a"%on$, T0e e*a%nder and 'a("or

    T0eore*$, and "0e a"%onal ero$ oo"$& T0eore*&6