In a small saucepan, melt the butter over low heat.

Once melted, blend in the flour, and let it sit for a minute.

Gradually add the cold milk, stirring continuously with a whisk to avoid lumps.

Season the sauce with salt and a dash of cayenne pepper.

Continue to cook the sauce over low heat until it becomes smooth and begins to boil.

Stir occasionally with a whisk.

Once the sauce is smooth and reaches a boiling point, reduce the heat and stir in the grated sharp cheddar cheese until fully incorporated.

Take a lightly greased one-quart casserole dish.

Place half of the thinly sliced potatoes in the bottom of the casserole dish.

Pour half of the prepared cheese sauce over the first layer of potatoes.

Repeat the layering process with the remaining potatoes and the rest of the cheese sauce.

Sprinkle the remaining 1/2 cup of grated cheese on top of the dish.

For added visual appeal, sprinkle some paprika for color.

Bake the assembled dish uncovered for about 1 hour at 350°F (175°C).

The scalloped potatoes are ready when the top is golden brown, and the potatoes are tender when pierced with a fork.

Once the dish is done, remove it from the oven and allow it to cool slightly.

Serve your Cheesy Scalloped Potatoes as a side dish to complement your favorite main course.

They pair wonderfully with a variety of meats and other vegetables.