# Standard 1: Generate equivalent expressions and perform operations with expressions involving exponents, radicals or logarithms. Export Print
General Information
Number: MA.912.NSO.1
Title: Generate equivalent expressions and perform operations with expressions involving exponents, radicals or logarithms.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Strand: Number Sense and Operations

## Related Benchmarks

This cluster includes the following benchmarks.

## Related Access Points

This cluster includes the following access points.

## Access Points

MA.912.NSO.1.AP.1
Evaluate numerical expressions involving rational exponents.
MA.912.NSO.1.AP.2
Identify equivalent algebraic expressions using properties of exponents.
MA.912.NSO.1.AP.3
Using properties of exponents, identify equivalent algebraic expressions involving radicals and rational exponents. Radicands are limited to monomial algebraic expression.
MA.912.NSO.1.AP.4
Apply previous understanding of operations with rational numbers to add and subtract numerical radicals that are in radical form.
MA.912.NSO.1.AP.5
MA.912.NSO.1.AP.6
Given a numerical logarithmic expression, identify an equivalent numerical expression using the properties of logarithms or exponents.
MA.912.NSO.1.AP.7
Given an algebraic logarithmic expression, identify an equivalent algebraic expression using the properties of logarithms or exponents.

## Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

## Formative Assessments

Roots and Exponents:

Students are asked to rewrite the square root of five in exponential form and justify their choice of exponent.

Type: Formative Assessment

Rational Exponents and Roots:

Students asked to show that two forms of an expression (exponential and radical) are equivalent.

Type: Formative Assessment

Rational Exponents - 4:

Students are asked to rewrite expressions involving radicals and rational exponents in equivalent forms.

Type: Formative Assessment

Rational Exponents - 2:

Students are asked to convert numerical expressions from exponential to radical form.

Type: Formative Assessment

Rational Exponents - 3:

Students are asked to convert a product of a radical and exponential expression to a single power of two.

Type: Formative Assessment

Rational Exponents - 1:

Students are asked to convert numerical expressions from radical to exponential form.

Type: Formative Assessment

College Costs:

Students are asked to transform an exponential expression so that the rate of change corresponds to a different time interval.

Type: Formative Assessment

Population Drop:

Students are asked to use the properties of exponents to show that two expressions are equivalent and compare the two functions in terms of what each reveals.

Type: Formative Assessment

## Lesson Plan

Students will rewrite radical expressions that can be simplified to one term and perform operations on radical expressions. They will solve problems in a Row-by-Row activity. Pairs of students work on different problems at different complexity levels that lead to the same solution. The students will challenge each other to prove their solutions are correct. This activity does not address rational exponents.

Type: Lesson Plan

## Original Student Tutorial

Learn to rewrite products involving radicals and rational exponents using properties of exponents in this interactive tutorial.

Type: Original Student Tutorial

## Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.