Graphs of Linear Functions and Rate of Change

Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if functions are linear.

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CCSS: Designed
Instructional Ideas

  • Have the class work in groups, with each member calculating the rate of change for a different input-output pair
Classroom Considerations

  • A 10-minute fluency exercise on solving equations can be placed anywhere within the lesson
  • Note that the lesson doesn't involve graphing linear functions
  • Builds on previous lessons in module
Pros

  • Teacher version includes sample solutions
  • Lesson guide shows mathematical practices to look for during activities
Cons

  • None
Common Core