Current high schooler in the US here. I feel that today the trend is definitely more towards looking things up as opposed to memorizing them. For example, in my chemistry class, we always got a periodic table (with weights) and were given things like Planck's constant. We did, however, have to memorize some of the more basic ones such as speed of light and Avogadro's number. With regards to math, all tests involving more than trivial amounts of math you get a calculator, so I have never even thought of memorizing logs or exponents.