Preheat oven to 350° and grease an 8x8 baking pan.
Melt the 5 oz dark chocolate in a microwave-safe bowl, stirring after each 30 second burst. Set aside to cool for 5 minutes.
To the bowl of a food processor, add the peeled and pitted avocado, maple syrup, and vanilla extract. Puree until smooth.
Add the cooled chocolate and puree again. Add the eggs, and puree again until combined and smooth.
Pour the chocolate mixture into a mixing bowl, and sift in the whole wheat pastry flour and cocoa powder. Stir until almost combined.
Add about ¼ cup of the chocolate chips and stir until well combined. Pour the brownie batter into the prepared baking pan and smooth into an even layer with a spoon.
Sprinkle the remaining chocolate chips over the batter, then bake in the preheated oven for 25 minutes. Allow to cool, then slice into 9 squares and serve!