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Geometry Task: Interstate

Geometry Task: Interstate

Standards & Objectives

Essential and guiding questions: 
  • Do we understand the concept of grade? Have you seen this while riding on the Interstate?
  • In part B did it matter where you put the 4 miles? Why?
  • What did you notice about the angle of elevation and the angle of depression? Do you think this would always be true?

Activity/Task Variations

Blooms taxonomy level: 
Understanding
Differentiation suggestions: 

If students can’t get started….
Assessing

  • Do you understand what the sign you see means?

Advancing

  • Can we draw a diagram about what is happening and then label it for this situation?
Extension suggestions: 

If students finish early….
Assessing

  • At what angle did you descend down the slope?

Advancing

  • Do you see any pattern in this with your answer to part c?