AP Calculus

Week 3
8-26-19 to 8-30-19

Overview of Topics

Links to Previous Weeks

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

Schedule 8/26/19 to 8/30/19

monday
  • Review for Quiz 1
    • slope of secant lines versus tangent lines
    • rate of change (ROC) versus instantaneous rate of change (IROC)
    • methods of finding limits
      • substitution
      • through a table of values that approach a specific x value
      • through a graph
      • through algebraic methods 
tuesday
  • QUIZ 1
wednesday
  • More algebraic methods of determining limits 
  • limits as x approaches infinity
  • limits that approach infinity
  • End Behavior Models
thursday
  • Finish Limits 
  • Start Continuity
friday
  • Formative assessment on limit properties and basics of continuity

Topics

  • Be able to find limits using a wide variety of methods
    • substitution
    • graphs
    • tables
    • properties 
    • algebraic manipulation
  • Be able to establish the conditions of continuity
  • Be able to distinguish the different types and causes of discontinuities
    • jump/gap discontinuity
    • removable /point discontinuity
    •  infinite discontinuity
    • oscillating discontinuity

Practice ​

Online Practice with Solutions

Paul's Online Practice Chapter 2

FDWK Textbook Assignments

FDWK Section 2.1 pp 66-67
  • assigned 8/19/19 to 8/23/19
  • See Desmos Solutions Below
​FDWK Section 2.2
  • assigned 8/26/19 to 8/30/19
​FDWK Section 2.3
  • assigned 9/2/19 to 9/6/19
​FDWK Section 2.4
  • assigned 9/2/19 to 9/6/19
​

Handouts and Formative Assessments

BARRON'S Textbook Assignments

Other Textbook Assignments

Additional Resources
​(For This Week)

Other Websites

Geogebra 

Desmos

FDWK Section 2.1 pp 66-67
FDWK 2.1 Assignment Links

Solutions

 

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
Week 3
  • Be able to find limits using a wide variety of methods
    • substitution
    • graphs
    • tables
    • properties 
    • algebraic manipulation
  • Be able to establish the conditions of continuity
  • Be able to distinguish the different types and causes of discontinuities
    • jump/gap discontinuity
    • removable /point discontinuity
    •  infinite discontinuity
    • oscillating discontinuity

Additional Resources