Mississippi College- and Career-Readiness Standards for
Mathematics Scaffolding Document

Algebra I

ALGEBRA I
Number and Quantity
The Real Number System (N-RN)

Use properties of rational and irrational numbers Additional

N-RN.3
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero

A student should know

* The significance of rational and irrational numbers as subsets of real numbers, distinguishes between the two, and provides examples

Desired Student Performance

A student should understand

* The meaning of rational exponents follow the properties of integer exponents. For
1
example, 53   is defined as the
cube root of 5 because

A student should be able to do

* Simplify and solve expressions involving radicals, and rational exponents.
* Extend the properties of integer exponents to rational exponents.

of each type when

1   3 1 1 1
*
Attend to precision

rational number and an

prompted.

(53)

= 53 x 53 x 53 = 5.

(Mathematical Practice 6), using

irrational number is
irrational.
*
Simplify expressions including rational terms.
* Use the properties of exponents to evaluate
expressions with exponents, including expressions
containing negative and
zero exponents.
* Interpret and compare representations of square root functions.
* Use the laws of exponents to find products and quotients of monomials.

* Simplify and solve expressions involving radicals and rational exponents.
* The sum of rational numbers is always rational, and the product of rational numbers is always rational.
* The sum of a rational number and an irrational number is always irrational, and the product of a rational number and an irrational number is always irrational.

clear definitions and stating the meaning of the mathematical symbols they include...