HS Math Concept: Seeing Structure in Expressions


Seeing Structure in Expressions


Interpret the structure of expressions.
HSA-SSE.A.1. Interpret expressions that represent a quantity in terms of its context. tools-icon
a. Interpret parts of an expression, such as terms, factors, and coefficients. tools-icon
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.
HSA-SSE.A.2. 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). tools-icon
Write expressions in equivalent forms to solve problems.
HSA-SSE.B.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.  tools-icon
a. Factor a quadratic expression to reveal the zeros of the function it defines.  tools-icon
b. Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.  tools-icon
c. Use the properties of exponents to transform expressions for exponential functions. For example, the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.  tools-icon
HSA-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.  tools-icon