one variable vs. two variables

Home Forums Questions about the standards HS Algebra one variable vs. two variables

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  • #1597
    dickstanley
    Participant

    It is great that these high school progressions have appeared!  And it is nice that on the very first page the algebra progression takes on a subtle subject and talks about the connection of algebra to functions. On this first page the algebra progression also talks about both equations in one variable and equations in two variables.  Would there be a place to discuss why there are equations in both one and two variables, but why all functions treated in the CCSSM are functions in one variable?

    #6094
    Cathy Kessel
    Participant

    As noted in the Functions Progression, the main focus is on functions of one variable:

    Undergraduate mathematics may involve functions of more than one
    variable. The area of a rectangle, for example, can be viewed as a
    function of two variables: its width and length. But in high school
    mathematics the study of functions focuses primarily on real-valued
    functions of a single real variable, which is to say that both the
    input and output values are real numbers. One exception is in high
    school geometry, where geometric transformations are considered to be
    functions. For example, a translation T, which moves the plane 3 units to the
    right and 2 units up might be represented by T: (x,y) –> (x+3,y+2).

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