Final answer:
Standard 7.1 refers to the student's ability to apply the scientific definition of work, involving calculations related to force and energy. Standard 7.2 focuses on the student's ability to connect scientific concepts across different domains, promoting a comprehensive grasp of science's interrelated elements.
Step-by-step explanation:
The standard 7.1 in the context of AP courses, specifically in a science subject like physics or biology, indicates that the student should understand and be able to apply the scientific definition of work. This involves being able to calculate or determine how much force is applied over a distance, which is crucial for understanding concepts like energy and force in scientific scenarios. An example provided is that of a rocket engine exerting force on a payload, where the student is expected to use given data, such as in Table 7.7, to calculate the force exerted. Furthermore, the mention of standard 7.2 suggests that students should be able to connect concepts in and across different domains of science to extend their understanding to general patterns or big ideas. This skill allows them to extrapolate information from one area of study and apply it to another, enhancing their understanding of how various parts of science are interrelated.