While it is good to have at least some higher-order thinking activities in each lesson, it is not good to try to have all activities be only about higher-order thinking.

Higher order thinking needs to have a basis of lower order thinking in order to be effective.  If you try to get students to apply higher level thinking to an area about which they have little or no knowledge (lowest level of thinking) they will be unsuccessful.  Students must have knowledge of a subject before they can do things like trying to organize information or to hypothesize about things that are related to that subject.  If you simply try to do higher-level thinking without first building a platform of lower-level knowledge and understanding, you will end up with very frustrated students.