seeing structure in expressions
CCR.Math.Content.HSA-SSE.A.1
Interpret expressions that represent a quantity in terms of its context.^{★}
CCR.Math.Content.HSA-SSE.A.1a
Interpret parts of an expression, such as terms, factors, and coefficients.
CCR.Math.Content.HSA-SSE.A.1b
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.
CCR.Math.Content.HSA-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}).
CCR.Math.Content.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.^{★}
CCR.Math.Content.HSA-SSE.B.3a
Factor a quadratic expression to reveal the zeros of the function it defines.
CCR.Math.Content.HSA-SSE.B.3b
Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
CCR.Math.Content.HSA-SSE.B.3c
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%.
CCR.Math.Content.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.^{★}