In a large mixing bowl, stir yeast, water, and 1 tablespoon of the honey together. Cover and let sit for 5 minutes to activate the yeast.
Whisk ½ cup melted butter, eggs, remaining 4 tablespoons + 1 teaspoon honey, and salt into the yeast mixture. (Make sure the butter isn't scalding hot or it will kill the yeast.) Then, add the whole wheat flour and whisk until smooth.
Use a wooden spoon to incorporate the all-purpose flour, mixing until well combined. Scrape the sides of the bowl as needed. Cover the bowl with plastic wrap and let it rise for 1 ½ to 2 hours or until the dough doubles in size.
Grease two large baking sheets. Set aside. Melt 3 tablespoons butter in a small dish. Set aside.
Punch down the dough and turn it out onto a floured work surface. Divide the dough in half and set one half aside for now.
Roll one half of the dough into a large circle about ¼-inch thick (mine was 12 inches in diameter). Brush the top of the dough disc with 1 ½ tablespoons of melted butter.
Use a pizza cutter to slice the disc into 12 wedges. Roll up each dough wedge, starting at the bottom (wide end) of the triangle and rolling up to the point. Place the rolls point side down onto the prepared baking sheet. Repeat with the rest of the dough.
Cover the rolls with a dish towel or plastic wrap and let rise for 1 ½ to 2 hours.
Preheat the oven to 400 degrees F. Bake (one pan at a time) for 8 minutes or until lightly golden. Remove from the oven.
Melt the remaining 1 tablespoon of butter and brush it over the tops of the rolls. Serve warm with jam, butter, honey, or as is.