I don't understand why common core: High School Algebra II (NYC, NY, USA) removed so many topics. I think these ideas are pretty important and useful (especially since a handful of these topics come up in SAT). These also help with critical thinking, thinking abstractly and mathematical reasoning (proofs and problem solving/algorithms).

  • Rationalizing binomial denominators
  • Dividing complex numbers (incl. rationalizing binomial denominators, ex: 10/(3 – i)
  • Solving absolute value equations algebraically
  • Solving absolute value inequalities
  • Given a real-life scenario, write an absolute value inequality that models it
  • Solve problems involving direct and inverse variation
  • Simplifying complex fractions
  • Using L. of Sines and L. of Cosines to solve triangles
  • Finding area of a triangle using (1/2)abSinC
  • Ambiguous case (SSA, using L. of Sines)
  • Binomial Probabilities/Bernoulli experiments
  • Finding probabilities based on comparing areas
  • Finding probabilities using permutations and combinations
  • Composition of functions: writing an algebraic rule for f(g(x)) given f(x) and g(x) and finding the domain of f(g(x)) given f(x) and g(x)
  • Co-functions (applying the idea that cos(A) = sin(90 – A) in various ways)
  • Angle Sum, Angle Difference and Double Angle identities
  • Solving Trig equations (linear, quadratic, equations requiring use of the identities above)
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    $\begingroup$ Where did this list of cut topics come from? $\endgroup$ – Daniel R. Collins Oct 8 '18 at 14:35
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    $\begingroup$ Nothing is stopping you from continuing to teach these topics. especially since a handful of these topics come up in SAT The right reason to teach a topic is because it's important or useful, not because it's on the SAT. $\endgroup$ – Ben Crowell Oct 9 '18 at 21:51
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    $\begingroup$ This question would benefit from some contextualization. In addition to explaining what the common core is and where to find information about its implementation in New York City, it would be useful to explain the specific context (when? who? why?) of the supposed removal of topics from these standards. This is all background that is largely opaque to someone not operating within the New York City school system, or at least the US educational environment. $\endgroup$ – Dan Fox Oct 10 '18 at 8:54
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    $\begingroup$ That is a long list. It seems to me that just those topics could make up a whole course. U.S. education (especially in math) has been faulted for being a mile wide and an inch deep. Taking out topics is an important part of improving the situation. If you think those topics are more important than what is left in, that would be a more interesting question to me. $\endgroup$ – Sue VanHattum yesterday
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    $\begingroup$ @Sue VanHattum: To continue your comment, many of these topics (e.g. the trig. topics, binomial probabilities/Bernoulli experiments, finding probabilities using permutations and combinations) seem to me to belong to the next level course, precalculus, and not to algebra 2 (unless an honors algebra 2 course, but then we'd be out of the realm of standardized topics). Indeed, until 2016 trigonometry was not even tested on the SAT, and even now most of the trig. topics the OP listed are not tested. $\endgroup$ – Dave L Renfro yesterday

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