AP Calculus

Week 4
9-2-19 to 9-6-19

Overview of Topics

Links to Previous Weeks

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

Schedule 9/2/19 to 9/6/19

monday
  • No School Labor Day
tuesday
  • Discuss QUIZ 1
  • Formative Assessment
    • VA and HA through Calculus methods
    • End Behavior Models
  • More Advanced Limit Properties
wednesday (Shortened Schedule Day Does NOT APPLY)
  • Work on quiz 2 study guide
  • Start on continuity 
thursday
  • Finish Continuity
  • Formative assessment on limit properties and basics of continuity
friday
  • Review Activity for Quiz 2

Topics

Be able to use limit properties to show FORMALLY
  • that a function has a vertical asymptote
  • that a function has a horizontal asymptote
  • a function has the same Right End Behavior Model (REBM) as a simpler version of the original model
  • a function has the same Left End Behavior Model (LEBM) as a simpler version of the original model
  • limits of more advanced functions
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

Applicable Learning Objectives from AP Central Calculus AB

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

Sample Quiz and Study Guide for Quiz 1 Continuity Practice Worksheet

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
Week 4
​Be able to use limit properties to show FORMALLY
  • that a function has a vertical asymptote
  • that a function has a horizontal asymptote
  • a function has the same Right End Behavior Model (REBM) as a simpler version of the original model
  • a function has the same Left End Behavior Model (LEBM) as a simpler version of the original model
  • limits of more advanced functions
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