Preheat oven to 450F and lightly butter a baking sheet.
Add the cornmeal, flour, baking powder, baking soda, salt, honey, and butter to the bowl of a food processor. Pulse until everything is combined.
Slowly add in the milk and continue to pulse until the dough comes together, it may be a bit wet and sticky.
Remove the dough to a lightly floured surface and mix in the cheddar by hand, knead a few times until it's no longer very sticky. Pat it into a rectangle about 1 inch thick, and cut out 8-10 biscuits with a 2 1/2 inch biscuit cutter.
Place the biscuits on your baking sheet, and bake at 450 for 5 minutes. Then, turn the oven down to 400F and bake for about 8-10 more minutes. Remove from the oven and allow the biscuits to cool on a baking rack.
Once you've mastered the biscuit baking basics, you're going to need more recipes to try~