Roast the chickpeas: Transfer the chickpeas to a large rimmed nonstick baking sheet. Drizzle with oil and sprinkle with salt. Toss to coat the chickpeas with the oil. Bake for about 20 minutes or until crispy.
Cook the noodles and broccoli: Bring a pot of lightly salted water to a boil. Cook the noodles according to package directions until al dente. When there are 2 minutes of cooking time remaining, add the broccoli. Stir well. When the noodles are done cooking, drain in a colander.
Make the sauce: Meanwhile, combine the tahini, rice vinegar, maple syrup, soy sauce, lime juice, and crushed red pepper in a medium bowl. Grate or press the garlic into the bowl. Whisk well to incorporate. Add up to 3 tablespoons water as needed until the desired consistency. Season with salt and black pepper as desired.
Combine: Return the noodles and broccoli to the saucepan. Toss with the sauce. Serve warm topped with roasted chickpeas.
Notes
Optional for crispier chickpeas: Dry the chickpeas between layers of a dish towel or paper towel. Change the oven setting to broil and cook for 2 minutes more for crispier chickpeas.
Do not overcook the noodles or they will be mushy. Cook them until al dente.
Tahini brands differ in their consistency. Add cold water one tablespoon at a time to adjust the consistency of the sauce or dressing. The tahini may seize but just keep on mixing and adding cold water. It will return to a creamy consistency.
Storage: Refrigerate leftover Pasta with Tahini Sauce in an airtight container for up to 4 days.