Arkansas flagArkansas: HSF Math Standards

12 standards · 3 domains

HSF.BF

  • HSF.BF.A.1 Write a function that describes a relationship between two quantities.
  • HSF.BF.A.2 Write arithmetic and geometric sequences both recursively and with an explicit formula, and translate between the two forms. Use arithmetic and geometric sequences to model situations.
  • HSF.BF.B.3 Identify the effect on the graph of replacing f(x) by f(x) + k,k f(x),f(kx),and f(x + k) for specific values of k (k, a constant both positive and negative). Find the value of k given the graphs of the transformed functions. Experiment with multiple transformations and illustrate an explanation of the effects on the graph with or without technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
  • HSF.BF.B.4 Find inverse functions.

HSF.IF

  • HSF.IF.A.3 Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example: The Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n + 1) = f(n) + (n − 1) for n ≥ 1.
  • HSF.IF.B.4 For a function that models a relationship between two quantities: Interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.
  • HSF.IF.B.5 Relate the domain of a function to its graph. Relate the domain of a function to the quantitative relationship it describes. For example: If the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.
  • HSF.IF.B.6 Calculate and interpret the average rate of change of a function (presented algebraically or as a table) over a specified interval. Estimate the rate of change from a graph.
  • HSF.IF.C.7 Graph functions expressed algebraically and show key features of the graph, with and without technology.
  • HSF.IF.C.8 Write expressions for functions in different but equivalent forms to reveal key features of the function.

HSF.LE

  • HSF.LE.A.2 Construct linear and exponential equations, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
  • HSF.LE.A.4 Express exponential models as logarithms; Express logarithmic models as exponentials; Use properties of logarithms to simplify and evaluate logarithmic expressions (expanding and/or condensing logarithms as appropriate); Evaluate logarithms with or without technology