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Pre-Calculus

Julie Harrison

photo of Julie Harrison

Julie Harrison is a gifted-endorsed Math Teacher who has taught high school courses ranging from General Math to AP Calculus BC. For 20 years, she taught AP Calculus (both AB and BC) and Precalculus at ELHS. For 14 years, she served as Math Department Chair at ELHS. In Spring of 2022, she transitioned from Eagle’s Landing High School in McDonough, GA to Spelman College in Atlanta, GA. Julie attended APSIs in both AB and BC Calculus early in her career and, since 2008, has worked in various capacities at the AP Calculus Reading. Julie has served as a workshop presenter for her school, district, and Georgia DOE. She has been involved in curriculum writing at the district level for many years and worked with the 2020 – 2023 Georgia revision of standards and resources. Since Spring 2022, she has been involved in various ways with the development and launch of the AP Precalculus course. She is a member of the AP Precalculus Development Committee, serves as Lead Consultant for AP Precalculus, and is a Peer Advisor for AP Precalculus. In Summer 2024, Julie will be involved in the inaugural AP Precalculus Reading as an Exam Leader. Her passion is supporting and increasing student access to AP Mathematics courses as well as creating activities for students in the classroom, especially ones that use formative assessment, group discussions, and technology. Another specific interest of hers is the mathematics transition from high school to higher education. Julie is excited by the fantastic course content and the benefits of all students having access — what a game changer!

Course Description

This in-person 4-day course is for teachers preparing to teach AP Precalculus. A discussion regarding course purpose and philosophy will help guide our week’s work. We will fully explore the current Course and Exam Description (CED) to gain an in-depth understanding of the vision of the course. A detailed analysis of the Essential Knowledge statements will provide a cohesive view of function analysis, rate of change work, and modeling implementation. A variety of effective activities to support student learning will help increase student access to content. We will discuss common student misconceptions, AP exam question approaches and scoring, and classroom strategies to maximize learning. Discussions will focus on enhancing teacher understanding and development of topics as well as sharing ideas and activities. Participants will find access to a Google Drive beneficial for sharing purposes. 

Course Goals:

The topics listed below will be incorporated throughout the week. The emphasis, order, and inclusion of these and other topics will be driven by participant needs and goals

  • Introductions and Goals for the Week
  • Curricular Requirements Discussion
  • Diversity & Inclusion and Equity & Access Discussions
  • AP Precalculus Course and Exam Description Deep-Dive
  • AP Classroom Resources and Implementation
  • Course Pacing Plan Development
  • Strategies for Using Data to Assess, Reflect, and Adjust
  • Unpacking and Implementing the Three Mathematical Practices
  • Limit Notation as a Descriptive Thread in the Course
  • Modeling Analysis Along with Interpretation of Residuals and Assumptions/Limitations
  • Development and Planning of Unit 1: Polynomial and Rational Functions
  • Incorporating Multiple Representations
  • How Topics from Prerequisite Courses Manifest Differently
  • Key Components of Unit 2: Exponential and Logarithmic Functions
  • Key Components of Unit 3: Trigonometric and Polar Functions
  • Key Components of Unit 4: Functions Involving Parameters, Vectors, and Matrices
  • Analysis of CED Topic Notes and Learning Notes
  • Creating a Classroom Community and Culture of Success
  • Instructional Strategies and Effective Activity Design
  • Exam Style Questions and Task Verbs
  • A Deep-Dive with Practice Questions in the CED
  • AP Exam Structure Discussion
  • AP Exam Scoring from the 2024 Exam Administration
  • Expectations for Student Use of Justifications
  • Graphing Calculator Discussions
What to bring:

Items you should have access to during the week include:

  • A laptop computer/ tablet 
  • A favorite lesson strategy or practice to share
  • A copy of your school’s academic calendar
  • A copy of the textbook you will be using next year (if you have access to one)
  • A graphing calculator 

Agenda

Day 1
Day 2
Day 3
Day 4