I was thinking something along these lines:
http://chem.chem.rochester.edu/~nvd/NMRH1ShiftsandCoupling.docThere is a very limited list of coupling constants here, but sufficient for this exercise. The first three entries will let you start to prepare a splitting diagram. (You can find much more detailed lists and some methods of calculating coupling constants in most NMR texts and all over the web.)
So get yourself a piece of graph paper and pick a point - that is the chemical shift of your proton. Now, your coupling constants (from the table) are 6-8 for the coupling to the two protons to the right, 11-18 from the trans proton, and 6-15 for the cis proton. Let's just pick some numbers that will make the drawing easy - 8 for the CH2, 14 for the trans, and 10 for the cis.
So your CH2 will give you a triplet, with peak heights in the ratio 1:2:1, with each peak about 8 Hz from the next. On your graph paper, that means you would have your center peak at the point you picked as your chemical shift, with a height of 2, and a peak at +8Hz and another at -8Hz, each with a height of 1.
Then each of these is split by the trans proton, ~14Hz. Each peak will be split into two peaks, 14 Hz apart, which means it will give one peak at +7 and one peak at -7 in relation to your previous peaks. So your peak at -8Hz will be split into two peaks of equal height at -15Hz (-8-7) and -1Hz (-8+7), the peak at 0 will be split into two peaks at +7 and -7 (twice the size of the 15 and -1 Hz peak because this peak had a height of two), and the peak at +8 will be split into two equal peaks at +1 and +15.
I'll leave the third split for you - each of these peaks now gets split into a doublet separated by 10 Hz (+5 and -5). What is your final splitting pattern? You should be able to give the distance from the chemical shift and the peak integration (which I've been calling peak height).