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Common Core: Standard
Common Core: ELA
Common Core: Math
Topic: Common Core Learning Standards
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 Student Outcomes Students perform arithmetic operations on polynomials and write them in standard form. Students understand the structure of polynomial expressions by quickly determining the first...

 Student Outcomes Students work with polynomials with constant coefficients to prove polynomial identities.

 Student Outcomes Students perform arithmetic by using polynomial identities to describe numerical relationships.

 Student Outcomes Students apply polynomial identities to the detection of prime numbers.

 Student Outcomes Students understand that the sum of two square roots (or two cube roots) is not equal to the square root (or cube root) of their sum. Students convert expressions to simplest radical...

 Student Outcomes Students explore the difference of two squares identity x2 − y2 = (x − y)(x + y) in the context of finding Pythagorean triples.

 Student Outcomes Students find solutions to polynomial equations where the polynomial expression is not factored into linear factors. Students construct a polynomial function that has a specified set...

 This topic focuses on factoring polynomials and the advantages of factored form of a polynomial to both solve equations and sketch graphs of polynomial functions. Students solve problems involving...

 Student Outcomes Students will factor certain forms of polynomial expressions by using the structure of the polynomials.

 Student Outcomes Students will use the structure of polynomials to identify factors.

 Student Outcomes Students will use the factored forms of polynomials to find zeros of a function. Students will use the factored forms of polynomials to sketch the components of graphs between zeros.

 Student Outcomes Students graph polynomial functions and describe end behavior based upon the degree of the polynomial.

 Student Outcomes Students transition between verbal, numerical, algebraic, and graphical thinking in analyzing applied polynomial problems.

 Student Outcomes Students transition between verbal, numerical, algebraic, and graphical thinking in analyzing applied polynomial problems.

 Student Outcomes Students rewrite simple rational expressions in different forms, including representing remainders when dividing.

 Student Outcomes Students know and apply the Remainder Theorem and understand the role zeros play in the theorem.

 Student Outcomes Students learn to fit polynomial functions to data values.

 Student Outcomes Students model a crosssection of a riverbed with a polynomial function and estimate fluid flow with their algebraic model.

 Students solve polynomial, rational, and radical equations, and apply these types of equations to realworld situations. They examine the conditions under which an extraneous solution is introduced...

 Student Outcomes Students define rational expressions and write them in equivalent forms.

 Student Outcomes Students compare rational expressions by writing them in different but equivalent forms.

 Student Outcomes Students multiply and divide rational expressions and simplify using equivalent expressions.

 Student Outcomes Students perform addition and subtraction of rational expressions.

 Student Outcomes Students solve rational equations, monitoring for the creation of extraneous solutions.