2x2 rib stitch is usually seen on items like cuffs, necks, bottoms of sweaters. I've also seen this stitch used to make scarves. It is a really easy stitch that is made up of combinations of knit and purl stitches. The nice thing about this stitch is that it lies flat so it would make a great beginner pattern for a scarf.
The 2x2 rib stitch is is cast-on in multiples of 4 sts plus 2. My swatch is a total of 18 sts (4 sets of 4 + 2 sts).
*= repeat from * to end
For this swatch I US size 7 needles and Berroco Vintage yarn in Lavender.
CO 18 sts
Row 1: k2, *p2, k2; rep from* to end
Row 2: p2, *k2, p2; rep from * to end
Keep repeating rows 1 & 2 until you reach your desired length. This swatch is 8 rows or 4 repeats.