Standard #: MA.8.NSO.1.1


This document was generated on CPALMS - www.cpalms.org



Extend previous understanding of rational numbers to define irrational numbers within the real number system. Locate an approximate value of a numerical expression involving irrational numbers on a number line.


Examples


Within the expression begin mathsize 12px style 1 plus square root of 30 end style, the irrational number begin mathsize 12px style square root of 30 end style can be estimated to be between 5 and 6 because 30 is between 25 and 36. By considering begin mathsize 12px style open parentheses 5.4 close parentheses squared end style and begin mathsize 12px style open parentheses 5.5 close parentheses squared end style, a closer approximation for begin mathsize 12px style square root of 30 end style is 5.5. So, the expression begin mathsize 12px style 1 plus square root of 30 end style is equivalent to about 6.5.

Clarifications


Clarification 1: Instruction includes the use of number line and rational number approximations, and recognizing pi (π) as an irrational number.

Clarification 2: Within this benchmark, the expectation is to approximate numerical expressions involving one arithmetic operation and estimating square roots or pi (π).



Related Courses

Course Number1111 Course Title222
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

Access Point Number Access Point Title
MA.8.NSO.1.AP.1 Locate approximations of irrational numbers on a number line.


Related Resources

Formative Assessments

Name Description
Sum of Rational Numbers

Students are asked to define a rational number and then explain why the sum of two rational numbers is rational.

Sum of Rational and Irrational Numbers

Students are asked to describe the difference between rational and irrational numbers and then explain why the sum of a rational and an irrational number is irrational.

Product of Non-Zero Rational and Irrational Numbers

Students are asked to describe the difference between rational and irrational numbers, and then explain why the product of a non-zero rational and an irrational number is irrational.

The Root of the Problem

Students are asked to evaluate perfect square roots and perfect cube roots.

Rational Numbers

Students are asked to identify rational numbers from a list of real numbers, explain how to identify rational numbers, and to identify the number system that contains numbers that are not rational.

Decimal to Fraction Conversion

Students are given several terminating and repeating decimals and asked to convert them to fractions.

Printed On:12/1/2022 9:47:57 AM
Print Page | Close this window