Kentucky Standards for High School Mathematics and Science

Minimum graduation requirements (link):
As of May 2015, these include

MATH: 3 years, including Algebra I, Geometry and Algebra II
If a student does not meet the college readiness benchmarks for mathematics
as established by the Council on Postsecondary Education in 13 KAR 2:020, the
student shall take a mathematics transitional course or intervention, which is monitored
to address remediation needs, before exiting high school.

Some standards for Algebra II (link) have included:
1) Use radians and trigonometric functions correctly.
2) Rearrange formulas to highlight a quantity of interest, using the same
reasoning as in solving equations. For example, re-arrange Ohm’s law V
= IR to highlight resistance R.
3) Find the inverse of a function. Solve an equation of the form f(x) = c
for a simple function f that has an inverse and write an expression
for the inverse. For example: y=f(x)=2x^3 has the inverse x=f(y)=(0.5 y)^(1/3),
where ^ means an exponent.
4) For exponential models, express as a logarithm the solution to
a*b^d=d, where a, b, and d are numbers, * is multiplication and the base is 2, 10, or e;
evaluate the logarithm using technology.  Recognize the laws and
properties of logarithms, including change of base.  Recognize and
describe the key features logarithmic functions.  Recognize and know
the definition of logarithm base b.  Evaluate a logarithm using
technology.
5) Use the mean and standard deviation of a data set to fit it to a
normal distribution and to estimate population percentages.

SCIENCE: 3 years