AP Calculus AB Homepage

Schedule 8/19/19 to 8/23/19

monday
(time schedule off 2nd hour assembly)
  • average rate of change
  • begin limits
  • review simplify rational expressions tricks
tuesday
(time schedule off 2nd hour assembly)
  • use limits to find instantaneous rate of change​
  • connect instantaneous rate of change to slope of tangent line
  • start basic properties of limits
  • Using a graphing calculator to create tables to find limits
wednesday
  • continue basic properties of limits
  • add limits of rational functions and limits of polynomials
  • start one sided limits versus actual limit
  • Squeeze Theorem (sandwich theorem) if time permits 
thursday
  • QUIZ 1
friday
  • Start limits that involve infinity
  • End Behavior Models (EBM)
  • Start Continuity, if time permits

Topics

  • Be able to find the average rate of change between two specific points
  • Be able to connect the idea of a limit to the instantaneous rate of change
  • Be able to use a table to determine if a limit exists at a particular value of x
  • Be able to use a graph to determine if a limit exists at a particular value of x
  • Be able to use the properties of limits to determine one sided limits
  • Be able to use the properties of limits to determine two sided limits
  • Connect instantaneous rate of change to the slope of a tangent line to the function at the same point

Practice ​

Additional Resources (For This Week)

Khan Academy

THIS Website

Other Websites

Additional Resources

Topics Covered in AP Calculus AB

Differential Equations

Applications of Integration

 

Exam Date for 2019-2020 School Year 8:00 A.M. Tuesday May 5 

Exam Topic & Mathematics Practice Distribution

Topics throughout the semester

Week 1
  • Basic Function Review
  • Domain and Range
  • Graphing functions and conic sections
  • Graphing Piecewise Functions
  • Properties and characteristics of inverse functions
  • Types of symmetry that functions may or may not have
    • symmetry about the origin
    • symmetry about the y axis
    • symmetry about the axis 
  • Types of reflections 
    • vertical (over x axis)
    • horizontal (over y axis)
    • both over x and y axis
    • over y = x
Week 2
  • Be able to find the average rate of change between two specific points
  • Be able to connect the idea of a limit to the instantaneous rate of change
  • Be able to use a table to determine if a limit exists at a particular value of x
  • Be able to use a graph to determine if a limit exists at a particular value of x
  • Be able to use the properties of limits to determine one sided limits
  • Be able to use the properties of limits to determine two sided limits
  • Connect instantaneous rate of change to the slope of a tangent line to the function at the same point

Additional Resources