My school's general, unspoken, rule of thumb is that the math progression is (Algebra)-->Geometry-->Algebra II-->Precalculus-->AP Calc/Stats. Is it really necessary to take Precalc before AP Stats, or is that just my school?
Hmmm... I always thought that was odd, and now I do even more. I'm taking precalc over summer, so if I wanted I guess I could do both AP Calc and Stats, but that doesn't sound too great to me.
My school only lets you skip "Math Analysis" if you're really good at math and request it. Calculus and Statistics are very different (AP Stat is barely like math) so it wouldn't be that bad.
The progression from Algebra II is either Precalculus (for the smarter kids) or AFM (Adv. Fxns and Modeling, for the ones who perhaps aren't the brightest lightbulb in the box). Precalculus leads into Calculus/IB Math and AFM leads into ICM (Intro to College Math).
Statistics is entirely separate from the progression; most of the smart kids take it sophomore year but it's open to 10-12.
Does precalc actually serve a purpose for calculus? At our school, we spend half a year on random topics like polar graphs and matrices, then start calculus after midterms.
^ Yes, but not directly. Precalc gives you a broad mathematical knowledge base and heightens your math skills which you will need for the calculus class. Also if you do any math in college a lot of the precalc topic will be extremely useful especially Matrices...
yea, you have to know some of the identities in order to do certain integrals
(think sin^2 + cos^2 = 1, 1 + tan^2 = sec^2, sin^2 A = [1 - cos(2A)]/2...)
don't pass them off as things you're allowed to forget when you're done with the class
Precalculus actually doesn't cover any calculus at all (unless the curriculum includes limits and basic derivatives, like ours did). But the topics taught in precalculus form the basis for everything you need to do in calculus; without it you'll struggle in calculus.
One guy in my school somehow got to skip straight from Algebra 2 AA to Calculus AB in 10th grade. I have no idea how he got the school to let him do that, but he's really quite a smart guy.
But everyone else takes Pre-Cal (unless they're not going to do calc). Most of it is pretty useless for calc, but you become more solid with radians and you learn a few more trig identities than you did in Algebra 2.
Replies to: Math Progression
Hmmm... I always thought that was odd, and now I do even more. I'm taking precalc over summer, so if I wanted I guess I could do both AP Calc and Stats, but that doesn't sound too great to me.
so i guess it makes sense that you would take it later
but it's not really necessary
Freshman: ALG 2/Trig
Sophomore: Precalc
Junior: AP Calc BC or AP Calc AB
Senior: Advanced Calc or AP Statistics
For normal people its
Freshman : Geometry
Sophomore: Alg 2/Trig
Junior : Precalc
Senior: AP Calc BC or AP Calc AB
For somewhat inferior people.
Freshman: Geometry
Sophomore: ALG 2
Junior: Trig
Senior: Precalc
For stupid people
Freshman: ALG 1
Sophomore: Geometry
Junior: ALG 2
Senior: TRig
For failures
Freshman: Geometry
Sophomore: Integrated 1
Junior: Integrated 2
Senior Integrated 3
Statistics is entirely separate from the progression; most of the smart kids take it sophomore year but it's open to 10-12.
(think sin^2 + cos^2 = 1, 1 + tan^2 = sec^2, sin^2 A = [1 - cos(2A)]/2...)
don't pass them off as things you're allowed to forget when you're done with the class
it's also EXTREMELY useful for physics
But everyone else takes Pre-Cal (unless they're not going to do calc). Most of it is pretty useless for calc, but you become more solid with radians and you learn a few more trig identities than you did in Algebra 2.