8.G.3

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  • #1661
    Jim
    Participant

    8.G.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

    Is it safe to assume that this refers to dilations through the origin, rotations centered at the origin by n*pi/2 (n an integer), and reflections over the axes or y=x, y=-x?

    Or should we really prepare students as broadly as the standard says?

    I only break this into so many cases because it says “using coordinates” and while students could “describe” what happens in the more general cases than the ones I described, they do not have the tools to “describe…using coordinates” that generally.

    #1687
    Bill McCallum
    Keymaster

    The standard is limited by what else students know at this grade level. This includes the cases you mention, and it might make sense for a curricular implementation of the standards to leave it at that. But there are other transformations that are possible, it seems to me. You could rotate by a multiple of $\pi/2$ around any point on the coordinate grid, for example.

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