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Peter Liljedahl is author and researcher of Building Thinking Classrooms. The link has Peter's suggestions of high ceiling low floor problems (Good Problem), math card tricks, and numeracy tasks. There is also a link for other resource sites recommended by Peter.
Galileo.org contains a list of "good" problems sorted by Secondary or Elementary and the domain. These problems were created for use in math fairs.
Open Middle provides good problem solving questions that have the following traits:
a “closed beginning” meaning that they all start with the same initial problem.
a “closed end” meaning that they all end with the same answer.
an “open middle” meaning that there are multiple ways to approach and ultimately solve the problem.
When Math Happens provides 3 act math videos, number talk problems, and estimation challenges. These can be organized by course.
Make Math Moments has units of study that are organized by topic or domain/standard. The units will use three act math videos to guide the inquiry process.
Which One Doesn't Belong provides quick concept building problems in which students decide which model doesn't belong with the others.
Dan Meyer created the 3 act math task and now works with Desmos. Here you can find his original 3 act math tasks.
Slow Reveal Graphs is an instructional routine that promotes sensemaking about data. This highly engaging routine uses scaffolded visuals and discourse to help students (in K-12 and beyond) make sense of data. As more and more of the graph is revealed, students refine their interpretation and construct meaning, often in surprising ways.
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