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Common Core: Math
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 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 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...

 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 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 apply polynomial identities to the detection of prime numbers.

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

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

 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 connect long division of polynomials with the long division algorithm of arithmetic and use this algorithm to rewrite rational expressions that divide without a remainder.

 Student Outcomes Students develop a division algorithm for polynomials by recognizing that division is the inverse operation of multiplication.

 Student Outcomes Students develop the distributive property for application to polynomial multiplication. Students connect multiplication of polynomials with multiplication of multidigit integers.

 Student Outcomes Students write explicit polynomial expressions for sequences by investigating successive differences of those sequences.

 The focus in this topic is on polynomial arithmetic and how it is analogous to operations with integers. The module opens with a lively lesson that engages students in writing polynomial expressions...

 In this installment of the video professional development series, there are two videos for small groups of educators to learn from the Common Core in practice. The first video does not include...

 This Geometry Common Core video features ninth and tenth grade students from Webster, New York. The lesson focuses on Standards GGPE.7, AREI.12 and GGMD.4

 Tables, graphs, and equations all represent models. We use terms such as “symbolic” or “analytic” to refer specifically to the equation form of a function model; “descriptive model” refers to a...

 Topic A focuses on the skills inherent in the modeling process: representing graphs, data sets, or verbal descriptions using explicit expressions (FBF.A.1a) when presented in graphic form in Lesson...

 In Topic C, students explore the families of functions that are related to the parent functions, specifically for quadratic (f(x) = x2), square root (f(x) = the square root of x), and cube root (f(x...

 Students apply their experiences from Topic A as they transform quadratic functions from standard form to vertex form, (x) = a(x  h)2 + k in Topic B. The strategy known as completing the square is...

 Topic A introduces polynomial expressions. In Module 1, students learned the definition of a polynomial and how to add, subtract, and multiply polynomials. Here, their work with multiplication is...

 In Topic D, students apply and reinforce the concepts of the module as they examine and compare exponential, piecewise, and step functions in a realworld context (FIF.C.9). They create equations...

 In Topic C, students extend their understanding of piecewise functions and their graphs including the absolute value and step functions. They learn a graphical approach to circumventing complex...