Yes, the names of specific Spanish dances are typically capitalized, as they are proper nouns. For example, "Flamenco," "Samba," and "Tango" are capitalized. However, if you are using the term generically to refer to a style of dance, it may not be capitalized, such as "she loves to dance flamenco."
no
The Latin American dance is the macarena. (sometimes capitalized)
No, "grandmother" (abuela) is not capitalized in Spanish unless it is the first word in a sentence or part of a title.
In general, the word "Spanish" should be capitalized when it refers to the specific language or nationality. However, "homework" should not be capitalized unless it is at the beginning of a sentence. So, "Spanish homework" should only be capitalized if it is the title of an assignment or if it is at the beginning of a sentence.
Agosto (not capitalized).
"In Spanish the days of the week and months of the year are written in lower case unless they are the first word in a sentence." Source: http://www.usa.gov/webcontent/spanish_guide/capitalization.shtml
Sunday is "domingo" in Spanish. Note the days of the week are not capitalized in Spanish.
"Thursday" in Spanish is "jueves". It is not capitalized.
The Spanish for the English word "dance" is "bailar".
You would say "español". It is not normally capitalized.
The Spanish word for "June" is "junio". It is not capitalized.
"Monday" in Spanish is "el lunes", and is not capitalized.