MA.912.NSO.1.2

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Generate equivalent algebraic expressions using the properties of exponents.

Examples

The expression begin mathsize 12px style 1.5 to the power of 3 t plus 2 end exponent end style is equivalent to the expression begin mathsize 12px style 2.25 left parenthesis 1.5 right parenthesis to the power of 3 t end exponent end style which is equivalent to begin mathsize 12px style 2.25 left parenthesis 3.375 right parenthesis to the power of t end style.
General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Number Sense and Operations
Standard: Generate equivalent expressions and perform operations with expressions involving exponents, radicals or logarithms.
Date Adopted or Revised: 08/20
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
1200310: Algebra 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200320: Algebra 1 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200380: Algebra 1-B (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7912090: Access Algebra 1B (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
1200315: Algebra 1 for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1200385: Algebra 1-B for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7912075: Access Algebra 1 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))
1200388: Mathematics for Data and Financial Literacy Honors (Specifically in versions: 2022 and beyond (current))
1200384: Mathematics for Data and Financial Literacy (Specifically in versions: 2022 and beyond (current))
7912120: Access Mathematics for Data and Financial Literacy (Specifically in versions: 2022 and beyond (current))
1200710: Mathematics for College Algebra (Specifically in versions: 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MA.912.NSO.1.AP.2: Identify equivalent algebraic expressions using properties of exponents.

Related Resources

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

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

MFAS Formative Assessments

College Costs:

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

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.

Rational Exponents - 1:

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

Rational Exponents - 2:

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

Rational Exponents - 3:

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

Rational Exponents - 4:

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

Rational Exponents and Roots:

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

Roots and Exponents:

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

Student Resources

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Parent Resources

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