Common Core: Seeing Structure in Expressions

HSA.SSE.A1

Interpret expressions that represent a quantity in terms of its context.*

October 1, 2018
HSA.SSE.A1a

Interpret parts of an expression, such as terms, factors, and coefficients.

October 1, 2018
HSA.SSE.A1b

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.

October 1, 2018
HSA.SSE.A2

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).

October 1, 2018
HSA.SSE.B3

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.*

October 1, 2018
HSA.SSE.B3a

Factor a quadratic expression to reveal the zeros of the function it defines.

October 1, 2018
HSA.SSE.B3b

Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

October 1, 2018
HSA.SSE.B3c

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%.

October 1, 2018
HSA.SSE.B4

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.*

October 1, 2018