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Preview of Connecting the Graphs of the First and Second Derivatives

Connecting the Graphs of the First and Second Derivatives

This is one of my favorite activities to get students to find patterns between the graphs of the first and second derivative in relation to the original function. It asked students to sketch them based on the given curve, then find intervals of increasing/decreasing, concavity, etc. It then asks them to constantly look at connections between the graphs. This activity consistently generates high quality discussions during and after.
Preview of Calculus - Analyzing Graph of the First Derivative

Calculus - Analyzing Graph of the First Derivative

Created by
Impwolf
Given the graph of the first derivative, analyzing the concavity and increasing/decreasing intervals of f(x)
Preview of Calculus Foldable 3-2: Curve Sketching Aids

Calculus Foldable 3-2: Curve Sketching Aids

Created by
Fan's Math
This is a three page foldable covering all the calculus curve sketching concepts (critical numbers, extrema, increasing/decreasing, points of inflections, and concavity), their definitions and how to find them using Calculus. My students find it easier to fill the foldable in over the week as we encounter the concepts in our discussions. All my foldables are self-guided which allows the students to start the foldable in class for about 10 to 15 minutes then complete the AP style examples at ho
Preview of Graphing Trigonometry Parent Functions - Graphic Organizers

Graphing Trigonometry Parent Functions - Graphic Organizers

Trigonometry Parent Functions - Graphic OrganizersSIX graphic organizers for the trigonometric functions: • Sine • Cosine • Tangent • Secant • Cosecant • Cotangent The graphic organizers include domain, range, continuity, symmetry, local maxima and minima, periods, asymptotes, intervals of increase and decrease, x and y intercepts, a table of important points, and a graph. Students can fill the graphic organizers in or a typed answer key version is included as well. These are great to give to st
Preview of Applications of Derivatives: Maximum Velocity of a Cough

Applications of Derivatives: Maximum Velocity of a Cough

This is created to be an in class assignment graded assignment, which will take approximately 25 minutes depending on the skill levels of the students. The answer key/scoring guidelines are attached at the end of the worksheet. The worksheet should be used after Increasing and Decreasing Functions and the First Derivative Test are taught.
Preview of The Final Countdown: 10 Things to Remember for AP Calculus

The Final Countdown: 10 Things to Remember for AP Calculus

This resource is designed as a high-leverage, one-page "cheat sheet" that distills the most critical concepts for the AP Calculus AB exam into a student-friendly reference guide. It serves as a visual anchor for students during their final review phase, focusing on the "Top 10" topics that frequently appear on the test. Product OverviewThe guide covers the heavy hitters of the curriculum, including: Fundamental Theorem of Calculus (FTC): Provides a clear shortcut for the derivative of an accumu
Preview of Unit Circle Quiz, Practice, and Key

Unit Circle Quiz, Practice, and Key

Created by
KstevMath
File contains three pages: a blank unit circle quiz, a blank unit circle practice page, and a unit circle key. 2/22/2022 - fixed typo on the key 12/29/2023 - added Easel activity Please leave me a comment if you have any suggestions on how to make the Easel assignment better. I was hoping that students would be able to copy and paste the square root and pi symbols to put in the boxes, but I don't know if it actually works to do that.
Preview of AP Calculus Quiz: trapezoidal rule and average value

AP Calculus Quiz: trapezoidal rule and average value

A quiz dealing with the trapezoidal approximation to the definite integral and the MVT for integrals. Emphasis on graphical representation and verbal interpretation. Answer KEY included. Could be used for practice and/or homework.
Preview of Calculus: Rates of Change and Limits - Warm-Ups

Calculus: Rates of Change and Limits - Warm-Ups

The videos are to be used as a PREVIEW of the next day’s lesson. This helps students come to class with some prior knowledge before the lesson is taught. The warm-ups are given as a quick way to check and see if each student watched the short videos. There are several benefits to this method: • Students are immediately engaged in the lesson because they already “know” something about it. • Students that learn at a slower pace, develop confidence and are more willing to participate in class bec
Preview of Power Rule in Calculus Quiz

Power Rule in Calculus Quiz

Power Rule in Calculus Quiz has two forms of a short quiz that's easy to grade. Students will have to solve 5 questions using the Power Rule. There's even a bonus question. It's perfect for your calculus or IB Math class. Power Rule in Calculus Quiz will assess your students' knowledge of finding derivatives using the power rule including rewriting expressions in radical form as exponential functions and using the laws of exponents. This Power Rule in Calculus Quiz is the best short assessment
Preview of Calculus BC Quiz: power series

Calculus BC Quiz: power series

This 4-page quiz on Power Series includes algebraic, numeric, and graphical representations. Includes answer KEY. Could also be used as a review/enrichment activity.
Preview of Relating f(x) f'(x) & f''(x)

Relating f(x) f'(x) & f''(x)

Created by
Shelby Olofson
Use it 3 ways! Worksheet ActivityHalf-Sheet HandoutHalf-Sheet QuizAnswer Key Included
Preview of Calculus Notes: Intro to the Derivative

Calculus Notes: Intro to the Derivative

Introduce the derivative as the LIMIT of a DIFFERENCE QUOTIENT. Students are actively involved in the Graphical, Algebraic, and Numerical analysis of the limit of "rise over run" as the "run" decreases toward zero. Students work through four graphical examples of the derivative at a point.
Preview of Properties of Limits (AP Calculus Unit 1)

Properties of Limits (AP Calculus Unit 1)

⭐⭐ This  AP Calculus lesson provides you with a  customizable and  fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for  Properties of Limits.⭐⭐ ✅ Lesson 1.3 Properties of Limits is a two-day lesson with an emphasis on the College Board Standard: LIM-1.C: Estimate limits of functions. ✅  What is included in this resource?⭐ Guided Student Notes ⭐ Video Lesson Link for Distance Learning - Flipped Classroom models ⭐ Google Slides® ⭐  Fully
Preview of Here’s The Right Way To Do Your Math Homework

Here’s The Right Way To Do Your Math Homework

When students do their homework thoroughly and correctly, they understand better and remember more. Students also spend way less time studying for tests and quizzes because they are studying as they go along. This one page sheet of step-by-step instructions is perfect for math teachers or study skills teachers to print out and distribute to students. The topic would make a great lesson for the beginning of the school year.
Preview of Trigonometric Identities Sheet

Trigonometric Identities Sheet

Created by
My Math Muse
This identity sheet lists the major Trigonometric Identities that your students will need in class! This is a word document that you can edit. I place boxes over various identities and make the students fill them in for quizzes!
Preview of Calculus 12 Worksheet - Review of Logarithms, Exponents, and the Natural Log

Calculus 12 Worksheet - Review of Logarithms, Exponents, and the Natural Log

Created by
Tim Barss
I'm sure I'm not the only one who finds my Calculus 12 students come in very weak on the basics of logs & exponents from Math 12. I use the accompanying two worksheets to help review the key log & exponent concepts they'll need in Calculus. Evaluating logarithms by inspection and with a calculator, understanding what they are, using log laws, solving logarithmic equations, solving exponential equations. The second worksheet mimics the first one but entirely using the natural number and na
Preview of Trapezoidal Rule & Simpson's Rule Worksheet

Trapezoidal Rule & Simpson's Rule Worksheet

Worksheet on Trapezoidal Rule and Simpson's Rule for numerical integration. Answer key included
Preview of Graphs of f, f' and f"

Graphs of f, f' and f"

This document gives helpful descriptions on what the graph of the function, derivative and second derivative can tell you about the other graphs.
Preview of Limits at Infinity Guided Notes

Limits at Infinity Guided Notes

Students will learn evaluate limits both graphically and algebraically using both the dividing out method and the end behavior method. This guided notes activity includes everything you need to teach your students about evaluating limits at infinity. I have done the lesson planning for you! The four page student's handout helps your students stay focus and engaged as you introduce limits at infinity. You will find the guided notes help students organize lecture content and actively respond to
Preview of Calculus Notes

Calculus Notes

Created by
Peter McIntosh
2 pages. Fast Reference for students for study and/or assessments. CALCULUS:Key derivative & integral formulas, including Inerse trig and other bases than e. Power, Quotient & Chain Rules, Average Value over a range. Thumbnails on MVT, Rolles, IVT, EVT, Limits & Continuity. TRIG: Special right triangles, Unit Circle values, Trig ratios & Identities, Pythagorean Identies, Sum & Differnece formulas, Law of sines, Law of Cosines,Special trig limits, Basics of sine curve sketching.
Preview of AP Calculus BC - Unit 10B (10.11-10.15) Guided Practice/Lecture Notes (PDF)

AP Calculus BC - Unit 10B (10.11-10.15) Guided Practice/Lecture Notes (PDF)

AP Calculus - Unit 10B (Reflecting the New CED) - Guided Practice/Class NotesTaylor and Maclaurin SeriesThis .PDF file contains complete notes for Topics 10.11-10.15 of Unit 10 under the CED for AP Calculus BC as set forth by the College Board in 2019. Topics within the document contain specific examples tailored to each topic within the unit as well as activities to expand students' understandings. Each topic's headings feature the Big Idea (CHA, LIM or FUN) as well as the color-coded Mathemat
Preview of AP Calculus AB Exam 2025 Information Bookmark

AP Calculus AB Exam 2025 Information Bookmark

This AP Calculus AB Exam 2025 Info Bookmark is a free resource designed to help students stay informed and organized as they prepare for the 2025 AP Calculus AB Exam. The bookmark includes essential information about the exam, including key dates, exam structure, content coverage, and important reminders for students. This resource is available in both color and black & white versions, ensuring that it meets the needs of any classroom setting. It is formatted for easy printing and cutting, wi
Preview of PUZZLE MATH:  Mixed Derivatives

PUZZLE MATH: Mixed Derivatives

Created by
Roxanne Kloper
This is a small collection of 3 math worksheets on the Calculus topic of derivatives. The worksheets provide instant feedback and fun for the math students because the answers correspond to letters or images that lead to the decoding of secret messages and pictures. They are also self-grading, which makes them ideal for customized treatment of learners. They are tested by multiple teachers, including the author and her colleagues. If you like these, you'll love "PUZZLE MATH: Trigonometry and Log
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