It's easier to memorize a sequence as listed above by TallGeese, ScottMac or tboneuls, but this really doesn't teach where and how the color pair, wire, pin designations come from OR How they can change. If you only want to teach your students to memorize the sequence on an Ethernet cable, then do as TallGeese, ScottMac or tboneuls recommend with the following additions or changes.
As mentioned above, the cable always results in a white/color then color/white consecutive sequence of wires. The primary color [white] predominant wire is always on an odd pin number, or first of the pair except in between the split pair.
568A: OGBGBr - pins 1&2;3;4&5;6;7&8 (most commonly used for data and Ethernet)
568B: GOBOBr - pins 1&2;3;4&5;6;7&8 (so, G; O[split], B[reversed pair], O[split remainder], Br)
Note pins 4&5, the center two pins always have the blue pair and the blue pair is reversed. Pins 7&8 always have brown.
10B-T: BOO - pins 1&2;3;6 (pair 1, pair 2)
I think it's easiest to remember 568B and then just remember that first two colors are transposed between 568B and 568A, then to also remember that pins 1&2,3&6 are the pins that must be wire paired together and fill in the rest according to the alternating primary color rule. The listing above uses pairs of colors and 1/2 of pairs of colors, or just consecutive color pairs. Or memorize GOBBr from 568B (transpose first two for 568A -- OGBBr) with pairs for 1&2, 3&6, memorizing 3&6 as the first split pair and fill in the rest according to the alternating primary color rule and color scheme.