I knit a matching set of hat, mittens and a thick scarf for me and my boyfriend this Christmas, I can't wait for him to open them up and see that we can match! I think another cute idea could be knee socks for a family member who might feel chilly at home during winter, I know my mom preferred something that covered more leg since it helps warm up the blood flow better. I have not yet tackled a sweater project but a sweater or cardigan could be a valued gift too. Another good idea for winter would be a throw blanket although that plan would need a bit more time to prepare for, haha.
brainstorm
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Scarves are probably one of the first projects we were taught in school. And other things that only require straight pieces to complete like some traditional socks and tank tops. After that socks and hats are probably some of the easier projects! Hats are super fast to complete too.
Also watch YouTube videos at half the speed and copy their movements to learn the stitches and techniques! Very handy for me at least who learns best but copying and trying.
I mostly use 4mm 20cm needles for my socks. Size 5 for stuff like hats. Circle needles for scarves and blankets. But it depends on the tightness of your knit and your project and yarn strength.
We were all taught basic knitting in school when I was a kid, alongside sewing and all. But I think I stuck with it because my mom likes to knit and helped me whenever I lost a knit or got confused. It was pretty simple to figure out stuff after you learn to read the knits though and after that I've been learning new techniques from YouTube whenever a pattern requires it. But I would probably still credit those school lessons for providing me with the tools and materials to try so I could then look more into it myself to really learn!