Trap drum patterns were born in early-2000s Atlanta — Manny Fresh, Lex Luger, Shawty Redd, eventually Metro Boomin and the modern Atlanta producer canon. Mechanically: half-time tempo (typical "trap BPM" of 140 is felt as ♩=70), snare on 3 only (not 2 and 4), 808 sub-bass kick, and 32nd-note hi-hat rolls used as fills and ornaments. The half-time feel is what gives trap its lurching, slow-motion quality; the snare on 3 anchors the half-bar.
Translating trap to an acoustic kit means making compromises. The 808 has no acoustic equivalent — it's a long, decaying sub-bass synth note — so we substitute the floor tom (low pitch, longer resonance than the kick) plus the kick on the same beat. The 32nd-note hi-hat roll is the showcase ornament; on an acoustic hat played with a single hand it's hard to play cleanly, so we'll learn it as a triplet ornament that approximates the same effect.
Producers tag trap beats as 140, 150, even 170. They mean those numbers as the audible 16th-note pulse — the hat — not as the quarter-note tempo. The actual quarter-note tempo, where you'd tap your foot, is half of that: ♩=70, ♩=75, ♩=85. We'll write all the exercises in 4/4 at the half-time tempo, because that's what your foot does. Just know that when a producer says "this beat is 140," they mean the 16ths.
This is the biggest single difference from boom-bap. In a bar of trap, the snare hits ONCE — on beat 3, the middle of the bar, treated as the half-time backbeat. Beat 2 and beat 4 are silent (or carry a ghost note at most). It takes some adjusting; the temptation to put a snare on 2 and 4 is strong. Resist it. The half-bar feel is the genre.