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...

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...