"You are eating chicken with carrots."
Translation:Tu manges du poulet avec des carottes.
To say some in French, you need to know the gender of the word (noun) in question.
Masculine If the word is masculine, such as (le) chocolat, (le) café, then the French for some is du:
du café some coffee du chocolat some chocolate du thé some tea du pain some bread du jus d'orange some orange juice
Feminine If the word is feminine, such as (la) limonade, (la) confiture, then the French for some is de la :
de la limonade some lemonade de la confiture some jam de la glace some ice cream
Plural If the word is plural (whether masculine or feminine), then the French for some is des: des garçons some boys des filles some girls des chocolats some chocolates
This is not a completely accurate exposition.
You insisted that to first use "some" in French that you must first know the gender of the noun.
Later on you discussed the use of "des" for plural nouns, whether masculine or feminine.
I do hope I got you right.
Actually, the English word translated as "some" is most often used for AN UNSPECIFIED QUANTITY OF UNCOUNTABLE NOUNS/OBJECTS in French, which being plural in themselves require no further qualifications apart from use of the PARTITIVE ARTICLES "Du" for masculine uncountable objects, "De la" for feminine uncountable objects and "De l'" for uncountable objects beginning with a french vowel (a,e,i,o,u, silent h or y) whether masculine or feminine.
Even in the UNCOUNTABLE NOUNS/OBJECTS group, a SPECIFIED QUANTITY of the noun/object using French-English equivalents of a bottle of, a loaf of, a slice of, a glass of, a cup of, a plate of will require use of either "de" (for either gender of an uncountable noun/object) or " d' " (for either gender of an uncountable noun/object that begins with a french vowel, silent h or y). Example: Une bouteille de bière = A bottle of beer; Une bouteille de vin = A bottle of wine; Une tasse de thé = A cup of tea; Un verre d'eau = A glass of water; Une tranche de pain = A slice of bread; Une tranche de gâteau = A slice of cake
Only rarely will it be necessary to translate the plural form of COUNTABLE NOUNS/OBJECTS in French "Des" (a plural indefinte article) as "some" in English, and in many cases this will be misleading or an odd fit.
Please also recall that the singular forms of countable nouns (INDEFINITE ARTICLES) are: "un" for masculine singular countable nouns and "une" for feminine singular countable nouns.
Your various sentence illustrations are otherwise correct. Only please note that the beginning of determining which article to use to express plurality in French begins by determining first if the noun/object is COUNTABLE OR UNCOUNTABLE. Determining if the latter group of UNCOUNTABLE NOUNS is an UNSPECIFIED OR A SPECIFIED QUANTITY, after which gender will then play a further role in determining choice for the former group of UNSPECIFIED QUANTITY OF AN UNCOUNTABLE NOUN.