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In many schools in the United States, students struggling the most in mathematics at the start of high school have the worst odds of getting a qualified teacher in the subject, new research finds. Succeeding in freshman-level mathematics is critical for students to stay on track to high school graduation, with students who make poor grades in math in 8th and 9th grades more likely to leave school entirely.

Some folks in Silicon Valley and elsewhere say a conventional education can't possibly give kids with outsize talents what they need. Others, like Vivek Wadhwa, a fellow at Stanford Law School who teaches and advises startup companies, say dropping out to pursue a dream is like "buying a lottery ticket — that's how good your odds are here. More likely than not, you will become unemployed. For every success, there are 100,000 failures."

The consideration of cord length is very important in a bungee jump—too short, and the jumper doesn’t get much of a thrill; too long, and ouch! In this lesson, students model a bungee jump using a Barbie® doll and rubber bands. The distance to which the doll will fall is directly proportional to the number of rubber bands, so this context is used to examine linear functions.