Massachusetts: Algebra - Seeing Structure in Expressions Math Standards
7 standards · 2 domains
INTERPRET THE STRUCTURE OF EXPONENTIAL, POLYNOMIAL, AND RATIONAL EXPRESSIONS.
- A-SSE.A.1.a Interpret parts of an expression, such as terms, factors, and coefficients.
- 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.
- 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).
WRITE EXPRESSIONS IN EQUIVALENT FORMS TO SOLVE PROBLEMS.
- A-SSE.B.3.a Factor a quadratic expression to reveal the zeros of the function it defines.
- A-SSE.B.3.b Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
- A-SSE.B.3.c Use the properties of exponents to transform expressions for exponential functions. For example, the expression 1.15^t can be rewritten as (1.15^(1/12))^12t ≈ 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
- A-SSE.B.4 Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.