Teacher or house?

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Across
  1. 4. Junior NBA coach champion
  2. 5. King of the jungle
  3. 8. She inspires you to reuse, recycle and repurpose
  4. 10. Danger of the deep
  5. 11. Mathematical genius
  6. 12. She is the queen of the swim team
Down
  1. 1. She is the Picasso of Bateen
  2. 2. Mythical beast
  3. 3. This female teacher represents the UAE in rugby
  4. 6. Poisonous worm
  5. 7. Do not mess with your Head of Year
  6. 9. Long beard, Big brain, Science is his game