EEWeb offers a free online calculus derivatives, rules, and limits reference/cheat sheet (with formulas). Visit to learn about our other math tools & resources.
This is my first year teaching AP® Calculus AB, and I am really enjoying delving deep into an area of math that I haven't really looked at or thought about
I'll be teaching AP PreCalc next year and I'm not going to lie...I'm nervous about it. I can't figure out why exactly...I'm an experienced teacher and I've taught AP Calculus before. But, for some reason the responsibility of guiding students through this level of math seems daunting. Perhaps it's because there aren't a lot of materials out there and I'll have to create a lot of my own notes, tests and quizzes. There won't be a lot out there to use. In addition, I'm already looking toward the students taking the test next May. What will it look like? How will the college board ask questions about the topics they have listed in the course description. If you've ever taught AP Calculus, you know that they come up with ingenious ways to ask questions that aren't hard necessarily, but if students haven't seen the questions asked that way before they are super difficult! So, I'll be creating a lot this year...I've been working on starting at the beginning and writing notes for my students. Along the way, I'll be creating activities for them to use to deepen their understanding of the material. Here's my first one... This is a printable activity students can use to practice end behavior and multiplicity. Students cut out the graphs at the bottom of the page and glue them to the correct matching graph. Does this look fun to you? If you'd like to receive this activity for free and then see what else I'm creating this year...sign up for my email list:
Taking the AP Calculus BC Exam this year? I'll be outlining the essential steps you should take and any information you need to know.
I’ve been rethinking all of my lessons this year. My hope has been to get my students to reason more. To think independently. To not be sponges. I’d like to think it…
I was a Calculus teacher for years and I was always looking for ways to provide better visualization of concepts for students. I used colored chalk on the chalkboard, hand-built models, Mathemati…
20-page study guide/outline for high school and college calculus or AP Calculus Covers most Calculus 1 curriculums Hand-written, original illustrations Digital PDF file Following topics covered: Continuity Limits Derivatives Related Rates Approximation L'Hospital's Rule Mean Value Theorem Critical Points/Curve Sketching Optimization Antiderivatives Integrals u-substitution Integration by Parts Particle Motion Volumes of Revolution Differential Equations (intro) Reimann Sum
Are you a homeschooler who will be teaching Calculus to your teen? Or are you a college student who needs extra help? Check out these free resources.
Calculus AB End of Year Review for AP Exam
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96 scanned pages of notes with highlights, practice problems, formulas and explanations, and more! These notes were taken during the 2020-21 school year, so all information is still up to date and corresponds with the current AP Calculus BC course and exam. These notes are also equivalent to a second-level college calculus course (eg. Calculus II).
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Taking the AP Calculus BC Exam this year? I'll be outlining the essential steps you should take and any information you need to know.
// Last Updated: September 10, 2023 - Watch Video // The following video provides an outline of all the topics you would expect to see in a typical
Course Overview Acellus AP Calculus AB provides students with an understanding of the advanced concepts covered in the first semester of a college Calculus course. Students gain an understanding of differential and integral Calculus and how they are used to solve real-world problems. Besides learning how to use the basic tools of Calculus, students completing this course learn on a deeper level what they are really doing and why it works. Acellus AP Calculus AB is taught by veteran AP Calculus teacher, Patrick Mara. This course has been audited and approved by the College Board. Students completing this course will be well-prepared for the AP Calculus AB Exam, enabling them to earn college credit for taking this course while yet in high school. Acellus AP Calculus AB is also A-G approved through the University of California. Course Objectives & Student Learning Outcomes Students successfully completing AP Calculus AB know what limits are and how to compute them. They know how to differentiate functions and use various differentiation rules including the combination rules and the chain rule. They know how to use Calculus to analyze various functions and sketch graphs based on their derivatives. They are familiar with using derivatives in real world situations. Students know how to approximate the area under curves using numerical methods and how to calculate the exact area using integration. Students are familiar with various integration techniques, including the chain rule, u-substitution, integration by parts, trig substitution, and partial fractions. They know how to use integration to calculate volumes of solids of revolution and surface area. Students know how to use integration to solve various real-world problems including work problems and problems based upon liquid pressure and fluid force. They also know how to use separable differential equations and are familiar with slope fields. Sample Lesson... Continue Reading
I was a Calculus teacher for years and I was always looking for ways to provide better visualization of concepts for students. I used colored chalk on the chalkboard, hand-built models, Mathemati…
If you can only take one AP class in high school, AP Calculus is the way to go.
These calculus apps will make it easier to learn challenging math concepts.
How do you solve related rates? Great question! And that's just what you're going to learn how to do in today's calculus lesson. Let's go! What Are
This handout is a compilation of many of the most important things students need to know to do well on the AP Calculus exam. The first page is all about derivatives and the second page is all about integrals. It is a great reference sheet for students to use when they are studying for the exam. ...
classroom tips, teaching ideas & resources for teaching high school math
Okay little Calculus Kidlets, maybe THIS will settle things in your mind. After reading my end-of-semester surveys, too many students were mixing up what to do when and why when finding the maximums and minimums of functions. I created this graphical organizer to put in their notebooks. This is how I picture it in my head and how I remember it, so maybe it will help some students.
I have a mission in life right now and it is for my entire calculus class to get the equation of the tangent line problem right on the AP test…it drives me nuts that some of them do that problem wrong EVERY TIME no matter how much I talk about it! So, I came up with the idea of a class challenge. This can really be applied to any math class, but it seems especially appropriate for an AP class. I came up with this in the middle of the night when I seem to do some of my best thinking :) So, I gave the class a very straightforward question - in my case - the first time I tried this I used this problem: Find the equation of the tangent line to the curve y = (3x-2)^2 at the point where x = 0. I told the class: If everyone in the class gets this right, I will give the entire class 5 bonus points. (To be honest I knew this wouldn't happen the first time I gave this challenge, but I am hopeful that some of the kids will put pressure on some of the other kids to LEARN HOW TO DO THIS!) The next day, the kids really wanted to know if they got the extra credit…they definitely didn't - at least 4 kids got the question wrong. I wondered if the ones that got it wrong would admit it, or just keep it to themselves. It seemed to me, as I looked around the room, that the kids that got the question wrong knew it, and looked kind of sheepish about it. A couple of them admitted it themselves, but it wasn't something that I shared. I didn't tell the class who got it wrong or how many students got it wrong. But, I'm definitely going to try this again in a couple of days. I am hopeful that the class will be getting their bonus points soon! Once we accomplish this task, we will move on to another type of problem. Like maybe a tricky limit question that is actually a derivative in disguise. I feel like this could be applied to other classes too, but I suppose you have to be careful. I wouldn't want any students blamed for messing up everyone's extra credit. However, in my class, the kids have all been together in honors math for awhile, and seem fine with it. We'll see how it goes!
2-page study guide/outline on LIMITS & CONTINUITY Covers AP calculus curriculum Hand-written, original illustrations Digital PDF file
