Piecewise Functions

Show your class members that if they can graph a linear function, they can graph an absolute value function. Groups create an absolute value graph using a table, then entertain the idea of an absolute value function defined as two pieces of linear functions. The resource also includes the greatest inter function. 

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Use board work after each example to check for understanding; assign practice problems at the end
  • Emphasize the meaning of the open and closed circles of the piecewise graph
Classroom Considerations
  • If piecewise functions is a new concept for students, it may be necessary to extend to multiple days to ensure time for understanding
  • The 16th installment of a 26-part series
Pros
  • Allows groups to make their own discoveries of the absolute value function
  • All handouts, keys, and a detailed teacher guide are included
  • Introduction and exit ticket are provided
Cons
  • May advance too quickly for Algebra I students