Grade 8 - Ang Katamaran ngm ga Pilipino ni Dr. JoseRizal
Lesson PlanFull description
free
EXAMPLE LESSON PLANFull description
Full description
planFull description
revit
Full description
Araling panlipunanFull description
world warFull description
not ownFull description
makato and the cowrie shellFull description
this is an lesson planFull description
Lesson Plan – Using the Fundamental Theorem of Algebra – 11 th Grade Algebra II Standards MGSE91!"#"$#"9 Use the Fundamental Theorem of Algebra to find all roots of a pol ynomial equation. MGSE91!"A"SSE"1a Interpret parts of an expression, such as terms, factors, and co efficients, in context. MGSE91!"F"IF"% Graph functions expressed algebraically and show ey features of the graph both by hand and by using technology. !"imit to polynomial functions.# functions.# MGSE91!"F"IF"%& Graph polynomial functions, identifying $eros when suitable factori$ations are a%ailable, and showing end beha%ior.
'b(e&ti)es*
&. Use the the fundamental fundamental theorem theorem of algebra algebra to determ determine ine the number number of $eros of of a polynomial. '. Use technolo technology gy to approximate approximate the $eros $eros of a polynomial polynomial function. function.
+armu, ( )tudents recei%e the warmups for the wee on *ondays. These contain )AT )AT questions. )tudents will wor on the warmups for the gi%en day. Teacher Teacher will go o%er the problems and also gi%e test taing strategies.
Lesson ( The last lesson co%ered the +ational e ro Theorem which showed all the possible real $eros of a polynomial function. function. In this lesson, students students will use the the graphing calculator to help get started in finding all the $eros.
Teacher will write the Fundamental Theorem on board and explain it. The Fundamental Theorem of algebra states that e%ery non-constant single-%ariable pol ynomial with complex coefficients has at least one complex root. This includes polynomials with real coefficients, since e%ery real number is a complex number with an imaginary part equal to $ero. Teacher Te acher will ha%e students find all the $eros of f ( ( x )= x
5
−2
x
4
+8
x
2
x + 6 . Teacher will
− 13
as the students how many many $eros this function has. e will first use +ational ero Theorem. Theorem. As a class we will find a $ero and test in using synthetic di%ision. di%ision. If it wors, we will continue
finding other $eros. e will eep breaing it down until until we get to a quadratic function. e will then use quadratic formula to find the rest. The last two $eros we find will be imaginary numbers. )tudents will tae the graphing calculator calculator and graph the function. e will disco%er that there are / real $eros and ' imaginary $eros. There is our total total of fi%e $eros. Teacher will do another one with Teacher with the class. Then class will do one on their own. Te Teacher acher will wal around and chec students0 wor. 1ext, teacher will wor an example of writing a polynomial function of least degree that has real coefficients, a leading coefficient of &, and ', / and -2 as $eros. Te Teacher acher will wor another one with students that include imaginary numbers. Summari-e 3 Te Teacher acher will gi%e students homewor assignment. Te Teacher acher will as as students questions about the Fundamental Theorem of Algebra checing for understanding.