I think too much integration is a bad thing. Not all kids at every high school in the world want to be on a robotics team, they just are not passionate about it. And without a passion, FIRST is just a boring and time consuming.
Too much exposure to FIRST will not make kids want to join FIRST, actually it will do the opposite.
That being said, I do think there is room for some integration. For example, physics classes can do an experiment or two show real life scenarios. But, I still think a best way to integrate FIRST into classrooms is simply to add a robotics/engineering class. Where kids join because they have a slight interest in the field, and then they can use their science, math, and engineering skills to do things

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Team 3476 Code Orange- 2014-? ~ Head Mechanical and Design Mentor
FIRST Orange County 2015-? ~Regional Planning Committee Member
Beach Blitz 2016-? ~ Event Chair/Director
FIRST Volunteer-2010-?
Team 589 Falkon Robotics- 2010-2013 ~Captain, Driver, Outreach, Mech Lead
CD Moderator~ Always feel free to PM me.
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