The zig zag scarf is a great project for beginners and produces an interesting result. It is done all in garter stitch with the only hard ish part being increases and decreases and this is a good project to learn and work on those.
I got the free pattern from free zigzag scarf pattern but made it slightly wider. Basically cast on a odd number of stitches, say about 15 and on odd rows 1 to 11 you want to increase at the beginning of the row and decrease at the end of the row. On all even rows 2 to 12 you just knit. Row 13 is a knit row as well then just repeat the 13 row pattern.
A very simple interesting looking scarf that's great for new knitters.
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