Select a 4- to 6-inch growing container with one or more holes in the bottom to promote good drainage.
Fill the container with a mixture consisting of 2 parts lightweight potting soil and 1 part well-rotted compost.
Set the coreopsis plant into the soil at the same depth it grew when purchased. Water until the soil feels evenly moist.
Place the container in a location that receives exposure to full sun.
Water lightly when the top half-inch of potting mix feels dry. Check the moisture level before watering to prevent root rot.
Prune faded blooms and dead foliage as often as necessary.
Apply slow-release fertilizer, at half the suggested rate, before new foliage appears in spring.
Move the container to a protected location that maintains a temperature of approximately 50 degrees Fahrenheit in mid to late fall, before freezing temperatures occur. Water only when the surface inch of soil dries out completely. This is necessary because the roots of container-grown coreopsis are more vulnerable than those planted in garden soil.