New York flagNew York: AI-A Math Standards

19 standards · 4 domains

ALGEBRA - ARITHMETIC WITH POLYNOMIALS AND RATIONAL EXPRESSIONS

  • AI-A.APR.1 Add, subtract, and multiply polynomials and recognize that the result of the operation is also a polynomial. This forms a system analogous to the integers.
  • AI-A.APR.3 Identify zeros of polynomial functions when suitable factorizations are available. (Shared standard with Algebra II)

ALGEBRA - CREATING EQUATIONS

  • AI-A.CED.1 Create equations and inequalities in one variable to represent a real-world context. (Shared standard with Algebra II)
  • AI-A.CED.2 Create equations and linear inequalities in two variables to represent a real-world context.
  • AI-A.CED.3 Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.
  • AI-A.CED.4 Rewrite formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

ALGEBRA - REASONING WITH EQUATIONS AND INEQUALITIES

  • AI-A.REI.1a Explain each step when solving a linear or quadratic equation 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.
  • AI-A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
  • AI-A.REI.4.a Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p)2 = q that has the same solutions. Understand that the quadratic formula is a derivative of this process.
  • AI-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. Recognize when the process yields no real solutions. (Shared standard with Algebra II)
  • AI-A.REI.6a Solve systems of linear equations in two variables both algebraically and graphically.
  • AI-A.REI.7a Solve a system, with rational solutions, consisting of a linear equation and a quadratic equation (parabolas only) in two variables algebraically and graphically. (Shared standard with Algebra II)
  • AI-A.REI.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane.
  • AI-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; and iii) interpret the solution in context. (Shared standard with Algebra II)
  • AI-A.REI.12 Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

ALGEBRA - SEEING STRUCTURE IN EXPRESSIONS

  • AI-A.SSE.1.a Write the standard form of a given polynomial and identify the terms, coefficients, degree, leading coefficient, and constant term.
  • AI-A.SSE.1.b Interpret expressions by viewing one or more of their parts as a single entity.
  • AI-A.SSE.2 Recognize and use the structure of an expression to identify ways to rewrite it. (Shared standard with Algebra II)
  • AI-A.SSE.3.c Use the properties of exponents to rewrite exponential expressions. (Shared standard with Algebra II)