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Math

Kansas Math

Algebra: Seeing Structure in Expressions

Interpret the structure of expressions.

A.SSE.1

(all) Interpret expressions that represent a quantity in terms of its context.

A.SSE.1a

Fully covered
(all) Interpret parts of an expression, such as terms, factors, and coefficients.

A.SSE.1b

Fully covered
(all) 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 (1+r)^n.

A.SSE.2

Fully covered
(all) Use the structure of an expression to identify ways to rewrite it.

Write expressions in equivalent forms to solve problems.

A.SSE.3

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

A.SSE.3a

Fully covered
(9/10) Factor a quadratic expression to reveal the zeros of the function it defines.

A.SSE.3b

Fully covered
(11) Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

A.SSE.3c

Fully covered
(11) 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)12^t ≈ 1.012^12^t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.