### General Information

**Subject Area:**Mathematics (B.E.S.T.)

**Grade:**8

**Strand:**Number Sense and Operations

**Date Adopted or Revised:**08/20

**Status:**State Board Approved

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.

Within the expression , the irrational number can be estimated to be between 5 and 6 because 30 is between 25 and 36. By considering and , a closer approximation for is 5.5. So, the expression is equivalent to about 6.5.

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

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)) |

Access Point Number |
Access Point Title |

MA.8.NSO.1.AP.1 | Locate approximations of irrational numbers on a number line. |

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. |