ALG1.MATH.3.A

Determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including $y = mx + b$, Ax + By = C, and y - y1 = m(x - x1).

Algebra I · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

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Vocabulary
slopelinetable of valuesgraphpointequationformy = mx + bAx + By = Cy - y1 = m(x - x1)
Skills
  • determine (the slope of a line given a table of values) #dok2
  • determine (the slope of a line given a graph) #dok2
  • determine (the slope of a line given two points) #dok1
  • determine (the slope of a line given an equation in slope-intercept, standard, or point-slope form) #dok2
  • compare (slopes obtained from different representations) #dok2
Learning Targets
  • I can determine the slope of a line given a table of values. #dok2
  • I can determine the slope of a line given a graph. #dok2
  • I can determine the slope of a line given two points on the line. #dok1
  • I can determine the slope of a line given an equation in slope-intercept form, standard form, or point-slope form. #dok2
  • I can compare slopes from different forms of representation. #dok2
  • I can explain the process used to find slope from different sources of information. #dok3
Big Ideas
  • The slope of a line can be determined from multiple representations, such as tables, graphs, points, and equations.
  • Understanding slope across various formats is essential to interpreting and analyzing linear relationships.
Essential Questions
  • What information do you need to determine the slope of a line from a table, a graph, two points, or an equation?
  • How does the representation of a linear function affect your method for finding its slope?
  • How are the different forms of linear equations related to the concept of slope?
  • Why is it important to be able to determine slope from various types of data or representations?
  • In what real-world situations does determining the slope from data in a table, graph, or equation become useful?