1530s, "value of property for tax purposes," from assess + -ment. Meaning "act of determining or adjusting of tax rate, charges, damages, etc., to be paid" is from 1540s (earlier in this sense was assession, mid-15c.). General sense of "estimation" is recorded from 1620s; in education jargon from 1956.
the assessment for repairs outraged the club's membership
assertive
assertively
assertiveness
assess
assessable
assessment
assessor
asset
assets
asseverate
asseveration