Honors Algebra II
2nd Grading Period (12 days)
Power Objectives:
Academic Vocabulary: See below for more vocabulary.
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Perform arithmetic operations with complex numbers and use
complex numbers in polynomial identities and equations.
(P.O. #1)
Write and interpret the structure of expressions in equivalent
forms to solve problems. (P.O. #2)
See below for more power objectives.
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monomial
degree of a monomial
polynomial
degree of a polynomial
polynomial function
standard form of a
polynomial function
turning point
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end behavior
factor theorem
multiple zero
multiplicity
relative maximum
relative minimum
sum of cubes
difference of cubes
synthetic division
Polynomials and Polynomial Functions
Enduring Understandings:
Essential Questions:
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The degree of the polynomial will determine the shape of its
graph, the maximum number of turning points, its end behavior,
and the number of roots (including multiple and complex roots)
so that real world data can be analyzed in terms of its maximum,
minimum, and break-even values.
Knowing the zeros of a polynomial function will help you factor
the polynomial, graph the function, and solve the related
polynomial equation.
Polynomials can be divided using steps similar to the long
division steps used to divide whole numbers.
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What does the degree of a polynomial tell you about its
related polynomial functions?
For a polynomial function, why are factors, zeros, and xintercepts related?
For a polynomial equation, why are factors and roots
related?
Power Objectives:
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Perform arithmetic operations on polynomials, understand the relationship between zeros and factors of polynomials and use polynomials
identities to solve polynomials. (P. O. #3)
Rewrite rational expressions. (P.O. #4)
Understand, represent and solve equations and inequalities graphically. Use this understanding as a process of reasoning and explain the reasoning.
(P.O. #6)
Interpret functions that arise in applications in terms of the context and analyze functions using different representations. (P.O. #7)
Academic Vocabulary:
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Remainder theorem
Rational roots theorem
Fundamental theorem of Algebra
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expand
Pascal’s triangle
Binomial theorem