MA.8.NSO.1.7

Solve multi-step mathematical and real-world problems involving the order of operations with rational numbers including exponents and radicals.

Examples

The expression begin mathsize 12px style open parentheses negative 1 half close parentheses squared plus square root of open parentheses 2 cubed plus 8 close parentheses end root end style is equivalent to begin mathsize 12px style 1 fourth plus square root of 16 end style which is equivalent tobegin mathsize 12px style 1 fourth plus 4 end stylewhich is equivalent to begin mathsize 12px style 17 over 4 end style.

Clarifications

Clarification 1: Multi-step expressions are limited to 6 or fewer steps.

Clarification 2: Within this benchmark, the expectation is to simplify radicals by factoring square roots of perfect squares up to 225 and cube roots of perfect cubes from -125 to 125.

General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 8
Strand: Number Sense and Operations
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1205050: M/J Accelerated Mathematics Grade 7 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current))
1205070: M/J Grade 8 Pre-Algebra (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7812030: Access M/J Grade 8 Pre-Algebra (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.8.NSO.1.AP.7: Use tools to solve multi-step mathematical problems, with four or fewer steps, involving the order of operations with rational numbers including exponents and perfect squares and/or square roots.

Related Resources

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

Formative Assessment

Dimensions Needed:

Students are asked to solve problems involving square roots and cube roots.

Type: Formative Assessment

Original Student Tutorial

Square Root Part 3: Simplifying Radicals:

Learn how to simplify radicals in this interactive tutorial.

Type: Original Student Tutorial

MFAS Formative Assessments

Dimensions Needed:

Students are asked to solve problems involving square roots and cube roots.

Original Student Tutorials Mathematics - Grades 6-8

Square Root Part 3: Simplifying Radicals:

Learn how to simplify radicals in this interactive tutorial.

Student Resources

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

Original Student Tutorial

Square Root Part 3: Simplifying Radicals:

Learn how to simplify radicals in this interactive tutorial.

Type: Original Student Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.