MA.912.NSO.1.4

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Apply previous understanding of operations with rational numbers to add, subtract, multiply and divide numerical radicals.

Examples

Algebra 1 Example: The expression begin mathsize 12px style fraction numerator square root of 136 over denominator square root of 2 end fraction end style is equivalent to begin mathsize 12px style square root of 136 over 2 end root end style which is equivalent to begin mathsize 12px style square root of 68 end style which is equivalent to begin mathsize 12px style 2 square root of 17 end style.

Clarifications

Clarification 1: Within the Algebra 1 course, expressions are limited to a single arithmetic operation involving two square roots or two cube roots.
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))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
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.

Related Resources

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

Lesson Plan

Simply Radical!:

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

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