7th and 8th grade flutes and clarinets are starting to work on trills. Wow, are they confusing!
I found some online trill fingering charts to help you out:
Flutes -
http://www.cgconn.com/pdf/Flute%20Trill%20Chart.pdf
http://www.wfg.woodwind.org/flute/fl_tr2_1.html
http://fluteconnection.net/inst08/trillChart.pdf
Clarinet -
http://www.wfg.woodwind.org/clarinet/cl_tr2_1.html
Everyone can check online for fingering charts, helpful hints, music etc.