"Lesson with Student 1:
I taught the student some basics about the nominative, accusative, and dative grammar cases. Nominative is for subjects, accusative deals with direct objects, and dative is linked to indirect objects. Genitive is used with ownership. I asked him to review his conjugation of sein/to be. He seemed very comfortable with the various forms.
I taught him some masculine, feminine, and plural versions of nouns such as friend. We reviewed that the possessive pronoun my has two different forms: one for the masculine/neutral and one for the feminine/plural. I then asked him to incorporate all of these new findings into constructing short sentences with saying so-and-so is or are my friend(s). He had a bit of difficulty stringing it all together at first, but after some confusion, he was able to do so quite well. We also reviewed the conjugation for heissen/to be called. I asked the student to give me all the names by using possessive forms of familial relationships of his family. He had some difficulty, but in the end he was able to find the correct answers upon prompting.
I then introduce the concept of negation forms in German with kein and nicht. Kein is usually followed by a noun. Nicht is usually preceded by a verb. I gave him a written exercise of 10 sentences and asked him to insert the correct negations. The kein forms needed to change sometimes for accusative cases. He also learned some plural forms of the word for books and the word for siblings.
I also taught him the word for this and its different forms when followed by masculine, neutral, or feminine/plural nouns.
Lesson with Student 2:
I made some small talk with the student using some greetings phrases and asked how her weekend was. She learned a phrase to describe the weather and the temperature. I taught her some elements of the perfect tense and how it's conjugated in German. Some forms use the auxiliary verb haben/to have; others use the auxiliary verb sein/to be.
I also explained that some verbs use reflexive forms, such as to meet up with one another (sich treffen).
I reviewed the brief homework assignment I had given her two classes ago. There was one correction with the sein/to be verb conjugation. We also revised her dialogue she wrote to correct some word choices and possessive pronoun forms.
I then taught her the negation forms, as well using kein and nicht. Afterward, I explained the accusative/direct object case and how articles and words like kein can change their forms accordingly.
We finished the lesson with a nine-question written exercise where I asked her to insert nicht or kein as needed. The exercise also included some vocabulary words she hadn't learned before.
I also shared a worksheet using Google Docs for Student 2 to review her kein and nicht."