Peel the tangerines completely, including the inner skin.

Mash the tangerine flesh using a mortar, blender, or simply a spoon in a bowl.

Mix the mashed tangerine flesh with 1/3 cup tangerine juice and 1 tbsp honey.

Transfer the mixture to a freezer-safe container and add reserved tangerine chunks if desired.

Freeze for 2 hours, then scrape with a fork to create granita texture.

Refreeze for another 4-5 hours, then scrape again to finalize the granita texture.