New York: AII-A Math Standards
12 standards · 4 domains
ALGEBRA - ARITHMETIC WITH POLYNOMIALS AND RATIONAL EXPRESSIONS
- AII-A.APR.2 Apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).
- AII-A.APR.3 Identify zeros of polynomial functions when suitable factorizations are available. (Shared standard with Algebra I)
- AII-A.APR.6 Rewrite rational expressions in different forms: Write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x).
ALGEBRA - CREATING EQUATIONS
- AII-A.CED.1 Create equations and inequalities in one variable to represent a real-world context. (Shared standard with Algebra I)
ALGEBRA - REASONING WITH EQUATIONS AND INEQUALITIES
- AII-A.REI.1b Explain each step when solving rational or radical equations as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
- AII-A.REI.2 Solve rational and radical equations in one variable, identify extraneous solutions, and explain how they arise.
- AII-A.REI.4.b Solve quadratic equations by: i) inspection, ii) taking square roots, iii) factoring, iv) completing the square, v) the quadratic formula, and vi) graphing. Write complex solutions in a + bi form. (Shared standard with Algebra I)
- AII-A.REI.7b Solve a system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. (Shared standard with Algebra I)
- AII-A.REI.11 Given the equations y = f(x) and y = g(x): i) recognize that each x-coordinate of the intersection(s) is the solution to the equation f(x) = g(x); ii) find the solutions approximately using technology to graph the functions or make tables of values; iii) find the solution of f(x) < g(x) or f(x) ≤ g(x) graphically; and iv) interpret the solution in context. (Shared standard with Algebra I)
ALGEBRA - SEEING STRUCTURE IN EXPRESSIONS
- AII-A.SSE.2 Recognize and use the structure of an expression to identify ways to rewrite it. (Shared standard with Algebra I)
- AII-A.SSE.3.a Factor quadratic expressions including leading coefficients other than 1 to reveal the zeros of the function it defines.
- AII-A.SSE.3.c Use the properties of exponents to rewrite exponential expressions. (Shared standard with Algebra I)