grad,gress=step

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Across
  1. 3. a step-by-step sequence within a continuous series
  2. 5. to move up a step or level;to improve in quality
  3. 8. hostile;stepping into someone's space with forceful energy
  4. 9. to reduce someone's worth or value; to make someone step down to a lower position or rank;to move down a step in social status
Down
  1. 1. to go back;to move backward;to move a step back
  2. 2. Celsius;temperature rating on the thermometer made up of 100 degree intervals or steps between the freezing and boiling points of water.
  3. 4. to move up a step in education (usually out of a school)
  4. 6. a slow change;a step-by-step change
  5. 7. to move up a step in a positive direction; to improve; to move a step closer to a goal