Louisiana flagLouisiana: Algebra - Seeing Structure in Expressions Math Standards

6 standards · 2 domains

INTERPRET THE STRUCTURE OF EXPRESSIONS.

  • A1:A-SSE.A.1.a Interpret parts of an expression, such as terms, factors, and coefficients.
  • A1:A-SSE.A.1.b Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.
  • A1:A-SSE.A.2 Use the structure of an expression to identify ways to rewrite it. For example, see x^4 – y^4 as (x^2)^2 – (y^2)^2, thus recognizing it as a difference of squares that can be factored as (x^2 – y^2)(x^2 + y^2), or see 2x^2 + 8x as (2x)(x) + 2x(4), thus recognizing it as a polynomial whose terms are products of monomials and the polynomial can be factored as 2x(x+4).

WRITE EXPRESSIONS IN EQUIVALENT FORMS TO SOLVE PROBLEMS.

  • A1:A-SSE.B.3.a Factor a quadratic expression to reveal the zeros of the function it defines.
  • A1:A-SSE.B.3.b Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
  • A1:A-SSE.B.3.c Use the properties of exponents to transform expressions for exponential functions emphasizing integer exponents. For example, the growth of bacteria can be modeled by either f(t) = 3^(t+2) or g(t) = 9(3^t) because the expression 3^(t+2) can be rewritten as (3^t)(3^2) = 9(3^t).

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