A chord inversion is when another note in a chord in played in the bass. If a chord has 3 notes (triad) there are 2 possible inversions – the 3rd in the bass is called the first inversion and the 5th in the bass is called the second inversion. If a chord has 4 notes (4 part harmony) there are 3 possible inversions – the first and second inversions are the 3rd and 5th in the bass respectively (just like the triads) and the third inversion is the 7th in the bass
When I teach inversions I have my students practice every permutation of inversions in their progressions. This can create interesting bass movement and add a lot to your playing. In the next blog I'll explore several specific ways of doing this.
Another way to utilize inversions is: when you're playing a chord for say two measures, a measure or two beats you could play, respectively, a measure on a chord and a measure on one of it's inversions, two beats on a chord and two beats on one of it's inversions or one beat on a chord and one beat on one of it's inversions.
Lastly, you should also practice cycling through inversions, for ex) play a Cmaj7 for two beats then it's first inversion (Cmaj7/E) for two beats then it's second inversion (Cmaj7/G) for two beats and finally it's third inversion (Cmaj7/B) for two beats and do this process for every chord.