In a covered small saucepan, cook carrots in a small amount of boiling water about 15 minutes or until very tender. Drain well. Cool.
Place drained carrots in a blender. Add finely shredded orange peel and orange juice. Cover and blend until smooth. Add ice cubes; cover and blend until smooth. Pour into glasses. If desired, garnish with orange peel curls. Makes 3 (5-ounce) servings.