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Common Core: Standard
Common Core: ELA
Common Core: Math
43 Results

 Student Outcomes Students reduce rational expressions to lowest terms. Students determine the domain of rational functions.

 Student Outcomes Students understand that rational expressions form a system analogous to the rational numbers, closed underaddition, subtraction, multiplication, and division by a nonzero rational...

 In Topic B, students explore composition of functions in depth and notice that a composition of a polynomial function with the function f(x) = 1/x gives functions that can be written as ratios of...

 Student Outcomes Students observe patterns in the coefficients of the terms in binomial expansions. They formalize their observations and explore the mathematical basis for them. Students use the...

 Student Outcomes Students discover patterns in the expansion of binomials, leading to the understanding of the binomial theorem. Students use Pascal’s triangle to find the coefficients of binomial...

 Topic A brings students back to the study of complex roots of polynomial functions. Students briefly review quadratic and cubic functions and then extend familiar polynomial identities to both...

 Students revisit the fundamental theorem of algebra as they explore complex roots of polynomial functions. They use polynomial identities, the binomial theorem, and Pascal’s Triangle to find roots...

 Student Outcomes Students perform addition and subtraction of rational expressions.

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

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

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

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

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

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

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

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

 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 will use the structure of polynomials to identify factors.

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

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

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

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