Use a "linkage strip" to build triangles with different side lengths. When you build a triangle, see if you can deform it into a different triangle while keeping the side lengths the same.
Count the number of raisins in seventeen half-ounce boxes of raisins. Then come up with a solution to determine how many raisins are in Brand X's or Brand Y's box of raisins.
Look at patterns of solids made with Cuisenaire rods. Make a table of the surface area and volume for each term of this sequence and view graphs of your data. Find the rule for the nth term.
Curate a museum exhibit centered on the theme of "Conflicts in American History." Select artifacts, letters, paintings and other items, and then write descriptions of the items that tie them to the larger theme. View and print final compiled exhibit.
Is there a relationship between the volume of a sphere and the volume of a cylinder of equal diameter and height? What about the volume of the sphere and the cone?