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Graphing: What do beginning algebra students need to know?

Here's what I said my students will need to know:

  • Graph a line given equation (slope-intercept form)
  • Graph a line given equation (standard form)
  • Find slope given two points
  • Find equation of a line given two points
  • Find slope given equation (any form)
  • Find slope given graph
  • Find y-intercept given two points
  • Find y-intercept given equation
  • Find equation of line perpendicular to given line and through given point
  • Find equation of line parallel to given line and through given point
  • Explain meaning of slope in a real problem
  • Explain meaning of y-intercept in a real problem
  • Create an equation based on a real problem
  • Make a graph for a real problem
Am I missing anything? I'm thinking of adding 'convert any equation in two variables to slope-intercept form'. And I'm thinking of taking out 'graph a line given the equation in standard form'.

What do you all think?

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