Chord tones over changes
Use the 3rd, 5th and octave of each chord and move smoothly between chords.
Roots and 5ths keep a line solid. Adding the 3rd makes it say what the chord is. Here you start to build lines that follow the changes.
Adding the 3rd
The 3rd tells the listener whether the chord is major or minor: the bass line now “spells” the chord (lesson 7.1). Common arpeggio patterns are 1–3–5–3, 1–3–5–8 and 1–5–8–10. The 10th is the 3rd an octave up; it sounds clearer than a low 3rd.
Moving between chords
Target the root of the next chord on its first beat (the target note). Choose the chord tones in each bar so that the last one is close to the next target, a step or a small leap away.
Chords in the same key share notes (lesson 8.1): C and Am share C and E. A shared note, a common tone, can be held or repeated across the change for a smooth line.
In practice, the root on beat 1 and other chord tones on the weaker beats is the most reliable plan. It is a strong tendency, not a rule.
Play 1–3–5–3 in quarter notes over C – Am – F – G, one bar per chord. Then reorder the notes in each bar so that the last note is the chord tone closest to the next root.