🗓️ 217 Days of Learning the AP Precalculus Exam 📚
SAT Score Range
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18 sessions
•
EP
About
Great for self-studiers!
We will cover the entirety of the AP Precalculus Exam material in 217 days.
Prepare to watch a lot of videos from the Algebros at flippedmath.com. We will be using a lot of their material (practice problems and videos). Their material is online completely free and helped me earn a 5 on the AP exam and an A in the class. Between every session you will watch one video related to what we will be covering next session.
Our sessions will follow this formula:
Part 1 - 10 minutes - We will review the video watched outside of the session.
Part 2 - 40 minutes - You will work together with your classmates to solve practice problems. Faster learners should help their fellow slower learners. The goal is to have everyone progress at a sufficient rate.
Part 3 - 10 minutes - You will complete a short quiz on your own.
Part 4 - 10 minutes - We will review the answers to the quiz together.
Part 5 - 5 minutes - You will summarize what you learned during the session. I will then tell you which video you should watch before the next session.
Here are the materials that you should bring:
1. Scratch paper
2. A writing utensil
3. A graphing calculator
All sessions will be held on Tuesdays and Thursdays from 6:00 AM to 7:15 AM.
More sessions and session descriptions will be added as time goes on.
Tutored by
I received an invitation from College Board through my email to become an SAT tutor because I scored above the 90th percentile in "the math and/or reading and writing sections" of the SAT in spring 2025. My total SAT score was 1400 with a 720 in the reading and writing section and a 680 on the math section. I achieved the 93rd percentile out of all test takers. I also took advanced math courses. I like making computer music in my free time.
✋ ATTENDANCE POLICY
You are free to attend/skip whichever sessions you want.
SESSION 1
9
Sep
SESSION 1
AP Precalculus
AP Precalculus
Tue 10:00 AM - 11:15 AM UTCSep 9, 10:00 AM - 11:15 AM UTC
We will be covering Lesson 1.1: Change in Tandem. You will learn about basic properties of functions (such as concavity) and function notation. I would highly recommend that you watch the Algebros' video on Lesson 1.1 before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways. A graphing calculator will not be required here, but it will be in later sessions.
SESSION 2
11
Sep
SESSION 2
AP Precalculus
AP Precalculus
Thu 10:00 AM - 11:15 AM UTCSep 11, 10:00 AM - 11:15 AM UTC
We will be covering Lesson 1.2: Rates of Change. You will learn how to calculate the average rate of change in a function, how to make your average rate of change results more specific, and the difference between positive and negative rates of change. Watch the Algebros' video on Lesson 1.2 before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways. A graphing calculator will be required here. (You should keep a graphing calculator with you from now on.)
SESSION 3
16
Sep
SESSION 3
AP Precalculus
AP Precalculus
Tue 10:00 AM - 11:15 AM UTCSep 16, 10:00 AM - 11:15 AM UTC
We will be covering Lesson 1.3: Rates of Change Linear and Quadratic Functions. You will learn the difference between linear and quadratic rates of change, how to calculate the second difference (also known as the rate of change of the average rate of change) in a quadratic function, and how to determine the concavity of a quadratic function based on its second difference. Watch the Algebros' video on Lesson 1.3 before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways.
SESSION 4
18
Sep
SESSION 4
AP Precalculus
AP Precalculus
Thu 10:00 AM - 11:15 AM UTCSep 18, 10:00 AM - 11:15 AM UTC
We will be covering Lesson 1.4: Polynomial Functions and Rates of Change. You will learn the parts of a polynomial function and how to identify local and global extrema. You will also revisit the topic of inflection points from Lesson 1.1. Watch the Algebros' video on Lesson 1.4 before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways.
SESSION 5
23
Sep
SESSION 5
AP Precalculus
AP Precalculus
Tue 10:00 AM - 11:15 AM UTCSep 23, 10:00 AM - 11:15 AM UTC
We will be covering Lesson 1.5A: Polynomial Functions and Complex Zeros. You will learn how to determine the sign of each x-interval in a polynomial, how to account for multiplicities in polynomial functions, how to determine the number of real and non-real zeros in a polynomial, and how to use successive differences to find the degree of a polynomial. Watch the Algebros' video on Lesson 1.5A before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways.
SESSION 6
25
Sep
SESSION 6
AP Precalculus
AP Precalculus
Thu 10:00 AM - 11:15 AM UTCSep 25, 10:00 AM - 11:15 AM UTC
We will be covering Lesson 1.5B: Even and Odd Polynomial Functions. You will learn how to determine if a function is even, odd, or neither. Watch the Algebros' video on Lesson 1.5B before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways.
SESSION 7
30
Sep
SESSION 7
AP Precalculus
AP Precalculus
Tue 10:00 AM - 11:15 AM UTCSep 30, 10:00 AM - 11:15 AM UTC
We will be covering Lesson 1.6: End Behavior and Polynomial Functions. You will learn how to use limit notation to describe end behaviors and how to use the leading term of a polynomial to determine the end behaviors of a graph. Watch the Algebros' video on Lesson 1.6 before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways.
SESSION 8
2
Oct
SESSION 8
AP Precalculus
AP Precalculus
Thu 10:00 AM - 11:15 AM UTCOct 2, 10:00 AM - 11:15 AM UTC
We will be covering Lesson 1.7A: Rational Functions and End Behavior. You will learn how to determine a rational function and its vertical and horizontal asymptotes. Watch the Algebros' video on Lesson 1.7A before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways.
SESSION 9
7
Oct
SESSION 9
AP Precalculus
AP Precalculus
Tue 10:00 AM - 11:15 AM UTCOct 7, 10:00 AM - 11:15 AM UTC
We will be covering Lesson 1.7B: Rational Functions and End Behavior. You will dive deeper into the end behaviors and horizontal asymptotes of a rational function and learn how to use key shortcuts to algebraically identify both. Watch the Algebros' video on Lesson 1.7B before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways.
SESSION 10
9
Oct
SESSION 10
AP Precalculus
AP Precalculus
Thu 10:00 AM - 11:15 AM UTCOct 9, 10:00 AM - 11:15 AM UTC
We will be covering Lesson 1.8: Rational Functions and Zeros. You will learn how to quickly identify the zeros, holes, vertical asymptotes, and y-intercept in a rational function. You will then combine this with what you have learned about identifying horizontal asymptotes to describe the properties of a rational function. Watch the Algebros' video on Lesson 1.8 before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways.
SESSION 11
14
Oct
SESSION 11
AP Precalculus
AP Precalculus
Tue 10:00 AM - 11:15 AM UTCOct 14, 10:00 AM - 11:15 AM UTC
We will be covering Lesson 1.9: Rational Functions and Vertical Asymptotes. You will learn how to describe the behavior of a rational function when approaching a vertical asymptote using limit notation. You will also learn how multiplicity in the denominator affects the existence of holes and vertical asymptotes in a rational function. Watch the Algebros' video on Lesson 1.9 before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways.
SESSION 12
16
Oct
SESSION 12
AP Precalculus
AP Precalculus
Thu 10:00 AM - 11:15 AM UTCOct 16, 10:00 AM - 11:15 AM UTC
We will be covering Lesson 1.10: Rational Functions and Holes. You will learn how to describe the behavior of a rational function when approaching a hole using limit notation. You will also learn how multiplicity in the numerator affects the existence of holes and zeroes in a rational function. Watch the Algebros' video on Lesson 1.10 before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways.
SESSION 13
21
Oct
SESSION 13
AP Precalculus
AP Precalculus
Tue 10:00 AM - 11:15 AM UTCOct 21, 10:00 AM - 11:15 AM UTC
We will be covering Lesson 1.11A: Equivalent Expressions and Binomial Theorem. You will learn how to use Pascal's triangle and the binomial theorem to expand binomials with high degrees. Watch the Algebros' video on Lesson 1.11A before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways.
SESSION 14
23
Oct
SESSION 14
AP Precalculus
AP Precalculus
Thu 10:00 AM - 11:15 AM UTCOct 23, 10:00 AM - 11:15 AM UTC
We will be covering Lesson 1.11B: Long Division and Slant Asymptotes. You will learn how to use synthetic division and long division to determine the slant asymptote of a rational function as well as its end behavior. Watch the Algebros' video on Lesson 1.11B before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways.
SESSION 15
28
Oct
SESSION 15
AP Precalculus
AP Precalculus
Tue 10:00 AM - 11:15 AM UTCOct 28, 10:00 AM - 11:15 AM UTC
We will be covering Lesson 1.12A: Translations of Functions. You will learn how to translate and vertically reflect both functions and their domains and ranges. Watch the Algebros' video on Lesson 1.12A before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways.
SESSION 16
30
Oct
SESSION 16
AP Precalculus
AP Precalculus
Thu 10:00 AM - 11:15 AM UTCOct 30, 10:00 AM - 11:15 AM UTC
We will be covering Lesson 1.12B: Dilations of Functions. You will learn how to dilate and horizontally reflect both functions and their domains and ranges. You will then combine those transformations with translations and vertical reflections. Watch the Algebros' video on Lesson 1.12B before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways.
SESSION 17
4
Nov
SESSION 17
AP Precalculus
AP Precalculus
Tue 11:00 AM - 12:15 PM UTCNov 4, 11:00 AM - 12:15 PM UTC
We will be covering Lesson 1.13: Function Model Selection. You will learn how to select the appropriate type of function to model a situation. You will then learn how to use your calculator to determine restricted domains and ranges as well as the y-value of a specific x-value. Finally, you will learn the basics of interpreting piecewise functions on a graph. Watch the Algebros' video on Lesson 1.13 before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways.
SESSION 18
6
Nov
SESSION 18
AP Precalculus
AP Precalculus
Thu 11:00 AM - 12:15 PM UTCNov 6, 11:00 AM - 12:15 PM UTC
We will be covering Lesson 1.14: Function Model Construction. You will learn how to use your calculator to generate an appropriate regression equation to model a function. (You will also learn the different types of regression equations.) You will then learn how to solve problems with inversely proportional functions. Finally, you will learn how to algebraically solve problems with piecewise functions. Watch the Algebros' video on Lesson 1.14 before this session and take notes on the packet provided. (You can alternatively use your own paper to take notes). You are free to start on the practice problems before the session, but it is not required. You will work on the practice problems in the session with your fellow learners, anyways.