Proof your yeast by pouring ½ cup warm water, yeast, and sugar into the bowl of a stand mixer and let it sit for 5 minutes.
Add in flour, salt, and remaining warm water. Knead the dough using the dough hook attachment for 10 minutes on low speed. You want to make a firm dough that's not sticky (kinda like playdough!). When it's finished, the dough shouldn't stick to the bowl and should be smooth.
Place dough in large bowl and cover for 1 hour to rise. (Dough should double in size)
Once risen, punch down and let rise another 10 minutes. While dough rests, proceed to the following steps.
Preheat oven to 425° and bring large pot of water to boil. (There should be at least 5 inches of water in the pot)
Divide the dough in half, then each half into fourths. You'll have 8 dough balls. (You can also split the 8 balls in half for 16 small bagels)
Roll dough into balls and jab a hole into the middle of each ball. Stretch dough until hole is about twice the width of the thickness of the bagel.
Drop as bagels into pot of gently boiling water. (I normally boil 3 at a time). Boil bagels for 1-2 minutes on each side. (The longer the boil, the chewier the bagel.) As they are done, place bagels on a cookie sheet with parchment paper.
Brush bagels with egg whites before baking (if baking everything bagels, add seasoning to tops prior to baking!) put into the oven for 20-25 minutes (or until golden brown in color!)