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Common Core: Math
CCLS - Math: A.SSE.2
- Seeing Structure In Expressions
- Interpret The Structure Of Expressions
- State Standard:
- Use the structure of an expression to identify ways to rewrite it. For example, see x4 – y4 as (x2)2 – (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 – y2)(x2 + y2).
- Student Outcomes Students write explicit polynomial expressions for sequences by investigating successive differences of those sequences.
- Student Outcomes Students develop the distributive property for application to polynomial multiplication. Students connect multiplication of polynomials with multiplication of multi-digit integers.
- Student Outcomes Students develop a division algorithm for polynomials by recognizing that division is the inverse operation of multiplication.
- Student Outcomes Students will factor certain forms of polynomial expressions by using the structure of the polynomials.
- 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 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 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 work with polynomials with constant coefficients to prove polynomial identities.
- 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 perform arithmetic by using polynomial identities to describe numerical relationships.
- Student Outcomes Students will use the structure of polynomials to identify factors.
- 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.