8.MATH.5.I

Write an equation in the form $y = mx + b$ to model a linear relationship between two quantities using verbal, numerical, tabular, and graphical representations.

Grade 8 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

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Vocabulary
equationformy = mx + blinear relationshiptwo quantitiesverbal representationnumerical representationtabular representationgraphical representation
Skills
  • write (an equation in the form y = mx + b to model a linear relationship between two quantities) #dok2
  • identify (key information from verbal, numerical, tabular, and graphical representations) #dok2
  • translate (different types of representations into an equation) #dok2
  • interpret (verbal, numerical, tabular, and graphical data to determine m and b) #dok3
  • model (real-world linear relationships with equations in y = mx + b form) #dok3
Learning Targets
  • I can recognize when a linear relationship between two quantities can be represented by y = mx + b. #dok1
  • I can identify the slope (m) and y-intercept (b) from a table or graph. #dok2
  • I can write an equation in the form y = mx + b given a table of values. #dok2
  • I can write an equation in the form y = mx + b given a graph. #dok2
  • I can write an equation in the form y = mx + b from a real-world situation described verbally. #dok3
  • I can construct a table or graph from a linear equation and interpret the relationship it models. #dok3
Big Ideas
  • Linear relationships can be represented using equations, tables, graphs, and verbal descriptions, and these representations can be translated between one another.
  • The equation y = mx + b models a linear relationship by showing how changes in one quantity affect another, where m represents the rate of change (slope) and b represents the starting value (y-intercept).
Essential Questions
  • How can we identify the slope and y-intercept from different representations of a linear relationship?
  • What strategies can we use to translate a real-world situation into an equation in the form y = mx + b?
  • Why is the equation y = mx + b useful for modeling linear relationships?
  • How are verbal, numerical, tabular, and graphical representations similar and different when modeling a linear relationship?
  • What information do we need from a problem to write the equation that models it?