Low Floor High Ceiling Math Tasks

Low floor high ceiling math problems have multiple entry points so they are accessible to all students but they can also be solved at higher levels.

Low floor high ceiling math tasks. Low floor high ceiling tasks are those that are accessible to all but continue to provide challenge to those who find it easy initially. Low threshold high ceiling tasks are activities that everyone in a group can begin and then work on at their own level of engagement but which has lots of possibilities for the participant to do much more challenging math taken from. The ultimate low floor high ceiling math task tweet last spring when i was doing the mathematical mindsets book study i wrote a lot about rich mathematical tasks that all students can access but that also keep going or growing for students who need more challenge. Require an inquiry approach when solving.

In this updated feature we bring together our favourite low threshold high ceiling tasks as well as two articles which will support you in creating a low threshold high ceiling classroom. These tasks are important because all classes are heterogeneous. This is the easiest way to create a task that can work for everyone. A low threshold high ceiling lthc task offers the opportunity for everyone to get started and everyone to get stuck.

An lthc classroom is one in which the teacher has an lthc approach which implies a certain pedagogy as well as the use of lthc tasks. Low floor high ceiling tasks are those that all students can access but that can be extended to high levels. These rich problems have the following characteristics. In other words everyone can get started and everyone can get stuck.

Do not have a predetermined solution pathway in advance. Low floor high ceiling tasks are those that all students can access but can be extended to high levels taken from you cubed. For example 7 3 2 has a low floor as one can find the sum by counting all but the goal is to get students to make ten. Low floor and high ceiling it should be our goal to develop tasks that all students can get started with but that also scale up for students who are ready for more.

Lfhc tasks allow students work at different paces and take work to different depths at different times. However in reality the task alone is not enough. A low threshold high ceiling task is one which is designed to be mathematically accessible and to have built in extension opportunities.