1. Mom had to check the timer every 10 minutes.

2. Mom had to check the timer every 10th minute.

(Can we use both expressions?)

3. How about going at 6:00 at the art center.

4. How about coming at 6:00 at the art center.

5. How about arriving at 6:00 at the art center.

6. How about watching at 6:00 at the art center.

(Would you watch the ing forms? Are they grammatical from #3 to #6?)

1, but not 2.

3, not 4. 5 - maybe. 6 is odd - watching what at 6:00?

1. is correct.

5. and 6. are correct.

3. and 4. You need to change the preposition to "to."

1. "Mom had to check the timer every 10 minutes." This sentence means that Mom needed to check the timer every time 10 minutes passed. To understand how often she checked the timer, simply divide the total time passed by 10. For example, if the timer was set for 30 minutes, she would check it three times (30 ÷ 10 = 3).

2. "Mom had to check the timer every 10th minute." This sentence means that Mom needed to check the timer specifically when the minute hand was at the 10th minute mark. This is different from the previous sentence, as it does not account for the total time passed. If the timer was set for 30 minutes, she would only check it once, when the minute hand pointed to the 10th minute mark.

Regarding the usage of these expressions, both are grammatically correct and can be used, depending on the desired meaning.

3. "How about going at 6:00 at the art center." This sentence is grammatically correct, using the verb "going" in the present participle form. It suggests the idea of someone going to the art center at 6:00 as a potential plan or suggestion.

4. "How about coming at 6:00 at the art center." This sentence is also grammatically correct, using the verb "coming" in the present participle form. Similar to the previous sentence, it suggests the idea of someone coming to the art center at 6:00 as a potential plan or suggestion.

5. "How about arriving at 6:00 at the art center." This sentence is grammatically correct, using the verb "arriving" in the present participle form. Like the previous sentences, it suggests the idea of someone arriving at the art center at 6:00 as a potential plan or suggestion.

6. "How about watching at 6:00 at the art center." This sentence is also grammatically correct, using the verb "watching" in the present participle form. It suggests the idea of someone watching something at the art center at 6:00 as a potential plan or suggestion.

In summary, all of the sentences #3 to #6 are grammatically correct and use the present participle form of the verb, indicating a potential plan or suggestion. The choice of which verb to use depends on the specific action being suggested.