A teacher is using the standard

This objective focuses solely on identifying whole numbers, which does not encompass the broader range of real numbers or the necessary skills to order different types. Classification alone does not demonstrate an understanding of the relationships between various number types.

Similar to option A, this objective limits the focus to integers, thereby excluding other real number types such as rational and irrational numbers. It does not address the skill of ordering or comparing these numbers, which is essential under the given standard.

While this objective pertains to rational numbers, it fails to capture the full spectrum of real numbers, including irrational numbers. It also does not involve the critical skill of ordering, which is necessary for a comprehensive understanding of how different types of numbers relate to one another.

This is the correct objective as it specifically requires students to engage with multiple types of real numbers and assess their understanding through ordering, thus demonstrating mastery of the standard.

This objective touches on operations with specific number types but lacks the broader context of ordering multiple real numbers. It also narrows the focus to only two types of numbers, missing out on the comprehensive understanding of the entire set of real numbers.

While explaining differences is valuable, this objective does not assess the practical application of these concepts, such as ordering numbers. It focuses on theoretical knowledge rather than the skill of organizing various real numbers.