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Common Core: Standard
Common Core: ELA
Common Core: Math
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 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...

 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...

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

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

 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...