AP Calculus Webinar f, f’ and f’’ graphs and applications Thursday 11/12, 7:30-8:30PM EST Hosted by: Bryan Passwater Director of Mathematics/CS AP-TIP IN University of Notre Dame

 Intro to the topic  Multiple representations on the AP exam  AP questions—scoring  Important notes on pedagogy for the topic  Resources—Notes, activities, worksheets, AP problems, quizzes and tests  Discussion/Conclusion Overview of webinar

Entering the problem… Strategies

Be Specific---Name functions. Never use pronouns or vague descriptions! Justifications… Be Concise and Precise---using your own words is NOT OK. Use short canned reasons/justifications on the exam. Practice Practice Practice---hold students accountable for using precise language and practice justifications throughout the year

f, f’ and f’’ A graphical approach

2013 FR4—Scoring Rubric

2013 FR—Scoring Averages

f, f’ and f’’ A graphical approach-Part 2

2015 FR5– Scoring Rubric

2015 FR– Scoring Averages

AP MC questions…

 s/derivative_try_to_graph.html s/derivative_try_to_graph.html  ablerkennen.html ablerkennen.html Interactive Activities for f, f’ and f’’

Stations for f, f’ and f’’ 1. AP Style or Actual AP problems 2. Focused practice on specific problem types 3. Students work in groups 4. Shorts bursts of work and physical movement for engagement 5. Easy to pinpoint weaknesses for remediation, structured tutoring and/or differentiation

Activities for f, f’ and f’’ “Quiz, Quiz, Trade” Students will “create” 2-3 cards with the justifications on the back as part of a HW assignment You can go through them to make sure they are correct and reasonable Each student gets a card and finds another student in the class The first student “quizzes” the second student. Then, the second student “quizzes” the first student. The students trade cards and find another partner to repeat

 Kahoot is a free and fun interactive quiz game  Students log in with an electronic device  Questions appear on the screen and students answer using their device  Great for formative assessments and engagement Activities for f, f’ and f’’ “Kahoot” Search “bpasswat” to find two Kahoots for f, f’ and f’’

Activities for f, f’ and f’’ “QR Code Activity” 1.QR Codes are placed randomly around the room 2.Students work in groups to scan and solve each problem. 3.Each problem will lead to the next problem for students to solve.

Quizzes and Tests AP Style Tests MC and FR Calculator active and Non-Calculator Multiple versions AP score correlation and recommended curve included Look in the Drop Box folder---Quizzes/Tests

o Mock Reading—March 10 th $199-Includes Lunch MC and FR questions ---Chief Readers: Ben Hedrick, Steve Kokoska, Bryan Passwater o APSI---July th ---Will cover redesigned course ---New and Exp. rooms for AB, separate room for BC Wendy Barnes at or Bryan Passwater at Upcoming Trainings