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Contenido principal

STANDARDS

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US-NJ

Math

New Jersey Math

Algebra: Seeing Structure in Expressions

A-SSE.A

Interpret the structure of expressions

A-SSE.A.1

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

A-SSE.A.1.a

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

A-SSE.A.1.b

Fully covered
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

Fully covered
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).

A-SSE.B

Write expressions in equivalent forms to solve problems

A-SSE.B.3

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

A-SSE.B.3.a

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

A-SSE.B.3.b

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

A-SSE.B.3.c

Fully covered
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

Fully covered
Derive and/or explain 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.