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K–12 teaching and learning · from the UNC School of Education

Advanced Placement Calculus

Goal 1: Number and Operations - The learner will demonstrate an understanding of the behavior of functions.

Objective 1.01
Demonstrate an understanding of limits both local and global.
  • Calculate limits, including one-sided, using algebra.
  • Estimate limits from graphs or tables of data.
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Objective 1.02
Recognize and describe the nature of aberrant behavior caused by asymptotes and unboundedness.
  • Understand asymptotes in terms of graphical behavior.
  • Describe asymptotic behavior in terms of limits involving infinity.
  • Compare relative magnitudes of functions and their rates of change.
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Objective 1.03
Identify and demonstrate an understanding of continuity of functions.
  • Develop an intuitive understanding of continuity. (Close values of the domain lead to close values of the range.)
  • Understand continuity in terms of limits.
  • Develop a geometric understanding of graphs of continuous functions. (Intermediate Value Theorem and Extreme Value Theorem).
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