My kids are in 3rd and 5th grade and are doing common core math, they learn the traditional methods as well, of course. The technique pictured above is just a shortcut they also learn to add proficiency and fluency to their math skills.
I figured this stuff out on my own in grade school and did a lot of math that way in my head, it bothered me to have to do it the long way when I already knew the answer but the teacher wouldn't accept anything else back in my day.
I'm not saying I am onboard with the whole common core thing, or that I even really understand it - just that the example above is being used out of context to what happens in the actual classroom.
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