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A graduate of Valdosta State University with a Bachelor of Arts degree in Mathematics, Joseph Kelly earned a Master of Science degree in Mathematics Education from Florida State University, a Specialist of Education degree in teacher leadership from Georgia Southwestern State University and a Doctor of Education degree in Secondary Mathematics from Kennesaw State University. Joseph teaches AP Calculus AB and AP Precalculus at Bainbridge High School. He is also an AP Workshop Consultant for AP Calculus AB/BC and an AP Reader for AP Precalculus. He enjoys all things Disney, traveling, and spending time with his wife, Natalie, and three daughters, Caroline, Savannah, and Dorothy. His research interests include mathematical identity, the influence of tracking, and mathematics education in rural communities.
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COURSE DESCRIPTION
This course is intended for both new and experienced AP Calculus teachers. We will look closely at the AP Calculus AB Course and Exam Description (CED). We will take a tour of the AP Classroom web site and investigate other online resources such as Desmos, Blooket, Calc Medic, etc. We will explore the functions of AP Classroom and demonstrate how to utilize the tools to reinforce the connections between skills and practices in the course. We will discuss the use of the graphing calculator and share some tips and tricks to help students use it more efficiently. We will explore the main topics of the AP Calculus courses, focusing on teaching strategies and resources to help increase student understanding. We will examine the 2023, 2024, and 2025 AP Calculus AB Exam Free Response Questions along with their answer guidelines and sample student responses. We will also look at the 2018 and 1019 AP Calculus AB International Practice Exam (IPE) Multiple Choice Questions. We will practice scoring student responses and discuss ways to incorporate all these items into our classrooms. We will also discuss strategies for expanding access to reach more students, especially those in traditionally underrepresented groups.
Tentative Agenda
The schedule below is tentative and subject to revision.
Day OneCourse and Exam Description / Planning the AP Course
· Welcome and goals brainstorm
· Introduction to the Course and Exam Description
· Registering for the AP exam
· Introduction to AP Classroom’s Question Bank
· AP exam sections, timing, and calculator policies
· Planning the first three weeks of the course
· Participant’s questions and comments
Calculus Topics
· Exploring the CED
· Modifying released FRQs for use in the classroom
· Equity strategies
· Using AP Classroom, AP Central, and textbooks to develop assessments
· Time to discuss participants’ thoughts, questions, and comments
Calculus Topics
This course is intended for both new and experienced AP Calculus teachers. We will look closely at the AP Calculus AB Course and Exam Description (CED). We will take a tour of the AP Classroom web site and investigate other online resources such as Desmos, Blooket, Calc Medic, etc. We will explore the functions of AP Classroom and demonstrate how to utilize the tools to reinforce the connections between skills and practices in the course. We will discuss the use of the graphing calculator and share some tips and tricks to help students use it more efficiently. We will explore the main topics of the AP Calculus courses, focusing on teaching strategies and resources to help increase student understanding. We will examine the 2023, 2024, and 2025 AP Calculus AB Exam Free Response Questions along with their answer guidelines and sample student responses. We will also look at the 2018 and 1019 AP Calculus AB International Practice Exam (IPE) Multiple Choice Questions. We will practice scoring student responses and discuss ways to incorporate all these items into our classrooms. We will also discuss strategies for expanding access to reach more students, especially those in traditionally underrepresented groups.
Tentative Agenda
The schedule below is tentative and subject to revision.
Day OneCourse and Exam Description / Planning the AP Course
· Welcome and goals brainstorm
· Introduction to the Course and Exam Description
· Registering for the AP exam
· Introduction to AP Classroom’s Question Bank
· AP exam sections, timing, and calculator policies
· Planning the first three weeks of the course
· Participant’s questions and comments
Calculus Topics
- Limits & continuity
- limits involving composition
- defining the derivative at a point
· Exploring the CED
· Modifying released FRQs for use in the classroom
· Equity strategies
· Using AP Classroom, AP Central, and textbooks to develop assessments
· Time to discuss participants’ thoughts, questions, and comments
Calculus Topics
- the chain rule; implicit differentiation
- contextual applications of differentiation
- Course and Exam Description / Planning the AP Course
· Routine textbook questions versus AP exam questions
· Using College Board rubrics to score samples of student work
· Time to incorporate learned instructional strategies into a lesson plan
· Time to discuss participants’ thoughts, questions, and comments
Calculus Topics - analytical applications of differentiation
- accumulation functions & FTC
- integration using long division &
- completing the square
Day Four - Course and Exam Description / Planning the AP Course
· AP exam scoring rubrics and notes
· Reviewing for the AP exam
· Instructional Planning Report
· AP Course Audit
· A closer look at the 2024 AP exam FRQs
Calculus Topics - slope fields
- separation of variables
- applications of integration