Yes, those are good tips for using EQ.
When I used to lecture audio, I made up a chart with the frequency range from 20Hz-20kHz and where the fundumental frequency of various instruments are, similar to the one Bob Katz has in his mastering book.
Then above and below each range, a description of a negative or positive boost. For example- 6kHz boost, clarity, sweetning vocals, sibilence, or cut for warmth...conversly, you could boost 200Hz for warmth but this could make the sound muddy and conjested. Going for the upper harmonics rather than the fundumental can make a boost or cut less obvious. I used a graphic EQ on a single sound and went up the scale at octave intervals to demonstrate. Each instrument has common 'sweet spots' as you would already know, many less obvious than people think, so it's good to demonstrate how even a 12kHz boost will effect the kick drum.
The most common EQ misconception I found was in the low end, and this will effect the entire frequency spectrum, clouding the midrange. Many students used to boost the low end for more punch, then have to add midrange EQ for clarity as it was swamped with the upper harmonics of the low end. But if you get the low end right, by giving either the kick or the bass some punch and making then sit together, then notching out the upper harmonics, the top end will almost take care of itself and only require slight amounts of corrective EQ. So being a ME is excellent for these types of demonstrations because we do it every day with an entire track. Mixing is so much more flexible!
A good starting point for EQ practice is start at the low end, then just use HP/LP filters to bandpass other instruments into their own spectrum. Then choose only a couple of sounds to 'poke through' the mix, such as vocals and say acoustic guitar, making them the focus. I find this works with begineers because they are often confused as to why EQ is used...it doesn't help that at many audio schools the trainers have never really mixed a commercial song, so they rely on technical descriptions rather than hands on demonstrations. It's only through ear training that the students will go 'right, I get it'.
I'd suggest going to a bookshop as there are some excellent explanations and diagrams in 'Modern Recording Techniques', and also go to the SOS website and do a search for articles, it's a godsend for ideas when preparing lessons.