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Step 1
Preheat the oven to 450F.
Step 2
In a large mixing bowl, whisk the eggs, cheese, ¾ cup yogurt, pepper, and salt until incorporated. Set aside.
Step 3
Trim the cauliflower into florets; discard any tough parts of the stem. Chop the cauliflower into small pieces.
Step 4
Set a large ovenproof skillet (preferably cast iron) over medium-high heat.
Step 5
Add the olive oil; once it starts to shimmer, add the cauliflower, stir to coat, and let cook undisturbed for 3 to 4 minutes, or until it starts to brown.
Step 6
Stir and cook for a few more minutes to increase the browning. Give the cauliflower one last stir and transfer the pan to the oven.
Step 7
Roast until the it’s browned all over, 6 to 8 minutes.
Step 8
Transfer the skillet back to the stovetop (carefully; it will be hot!) and decrease the oven to 300F. This can be done ahead, or you can just pause and wait for the oven to cool down.
Step 9
Set the skillet over medium-high heat.
Step 10
Pour in the egg mixture and cook undisturbed for 30 seconds to 1 minute, or until the edges are just beginning to set.
Step 11
Return to oven and bake the frittata until the top-center is just set, 25 to 30 minutes.
Step 12
While it bakes, zest half of the lemon and combine it with the remaining ½ cup yogurt.
Step 13
Season frittata generously with black pepper.
Step 14
Slice warm, directly from the skillet, or wait for the pan to cool down, set a large platter over the pan, and carefully invert it.
Step 15
Just before serving, toss the arugula with a bit of lemon juice (2 teaspoons or so).
Step 16
Serve slices of the frittata with about 1 generous tablespoon of lemony yogurt and top with the arugula salad; finish with black pepper and freshly grated Parmesan.