A knot is “positive” if it has a diagram in which all crossings are positive. How does having such a diagram force patterns and structure to appear in the Jones polynomial and Khovanov homology? When can these patterns distinguish positive knots from almost-positive knots? In this talk we discuss results from the last few years and ongoing work to understand the Jones polynomial and Khovanov homology of positive knots and links. Particular attention is paid to the class of fibered positive knots, which contains all braid positive knots.