Two points. Firstly, it depends on the house system you're using. If you're using Equal Houses, then there'll be Aries on the cusp of the first, Taurus on the second, etc. However if you're not using Equal Houses this match-up is not a given, though it rather depends on your latitude and which degree of Aries you have as your ascendant.
Secondly, signs and houses are not the same thing. They're similar, but by no means the same. The signs are more symbolic, and more abstract. They also provide rulership and essential dignity. The houses, by contrast, are more about the details of our everyday life.
For example, the Sixth House is connected with small animals. Virgo is not. The Twelfth House is connected with bedrooms, Pisces is not. The Eighth House is connected with legacies, Scorpio is not. And neither is Scorpio connected with death, except in a very spiritual way (eg transformation, snakes shedding their skin, etc).
While I understand that making the house-sign connection can make it easier to learn astrology, in my opinion it's not a good habit. Though I suppose if you do a lot of horary or Vedic astrology you quickly learn the difference between signs and houses.