Low Floor, High Ceiling Problem Structures
Low floor, high ceiling problems give all students access to the problem and can be extended to high levels. The resources below have examples of these problems, tips for modifying problems for access and challenge, and structures that can be used to increase access and challenge.
This 10-15 minute activity encourages students to engage with abstract math problems in a way that facilitates collective sense-making and builds from what they know. Multiple solutions, ideas, and questions are generated through student-facilitated discussions, emphasizing that everyone has something to contribute and there are different ways of being “mathematically intelligent”.
Assessments should align with and reinforce the core values held in a classroom. This is a strategy for teachers to provide students with differentiated feedback on assessments, such as quizzes or tests, through extension questions that challenge students where they are and push them in their understanding.