Teach your homeschooler how to read a map and about some of the points of interest in your own community. Present a street map or the map of a large park to the student. Provide a list or pictures of areas that you want the student to photograph. Using only the paper map, and not any Internet or cellular devices, the student will have to navigate through the area and take photographs of the various points.
Purchase a pottery making kit from your local craft or toy shop. For younger children, you should sit with them and provide assistance about why they are creating the bowl. Older students can work on the modeling by themselves. Once the clay is dry, have the child paint a design onto the pottery. You could incorporate history into this assignment, by having the student paint the pottery in the style of a particular ancient civilization.
This activity allows for the combination of two disciplines. Allow the student to write a menu in the language that you are teaching, such as Spanish or Italian, or have the student write out a menu that is representative of the time period. If the parent allows, set up a cooking session in the kitchen of the student's home. You can make ethnic cuisine together or dishes from recipe books of long ago.
Take the student for a drive to watch the fog in the early morning or before a rainstorm is about to fall. Head back home. Get out a long neck soda bottle, and fill it about halfway full with hot water. After a few minutes, empty out all of the water except for approximately one inch at the bottom. Put an ice cube in, which will cause a blockage in the bottle neck. Fog will form between the water and the ice.