Preheat the oven to 350 degrees. Grease a 2 qt. casserole dish and set aside.
In a large bowl, whisk together the corn meal, flour, baking powder, and salt. Set aside.
In a medium bowl, combine summer squash, onion, eggs, milk, honey, and 1/2 of the cheese. Mix thoroughly with a wooden spoon.
Make a well in the corn meal mixture and pour in the squash mixture. Fold together until everything is wet. Do not over-mix.
Place the mixture into a greased 9x11 casserole dish. Top with the remaining 1/2 cup cheese.
Bake for 45 minutes, until golden brown on top.