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AP CALCULUS AB - 6.9 INTEGRATING USING SUBSTITUTION WORKSHEET
This Calculus worksheet is intended for students after they have learned the 6.9 Integrating Using Substitution lesson from the AP Calculus AB Course and Description. In this worksheet, I have included various examples where students find integrals using substitution. The problems also require the derivatives and integrals of radical functions, cosx, sinx, e^x, and lnx. I structured the problems in the worksheet so that they start off straight forward, and progressively get a little more intrica
9th - 12th, Higher Education
Calculus
PARTIAL FRACTION DECOMPOSITION
This worksheet is intended for students to practice partial fraction decomposition, given a rational function. When I teach partial fraction decomposition, some students pick it up right away, while other students need a little more practice. So I created this worksheet, scaffolding the required skills. In this worksheet, students first identify the correct set up for partial fraction decomposition, then they complete the process in the following problems. The problems get progressively more cha
9th - 12th
Calculus, PreCalculus
AP CALCULUS AB - 6.10 INTEGRATING USING LONG DIV. & COMPLETING THE SQUARE
This Calculus worksheet is intended for students after they have learned the 6.10 Integrating Functions Using Long Division and Completing the Square lesson from the AP Calculus AB Course and Description. In this worksheet, I have included various examples where students find integrals by first using long division and completing the square in order to rewrite the integrand. The problems then result in integrals involving natural log and inverse tangent. I structured the problems in the two part
9th - 12th, Higher Education
Calculus
Deriving Kinematics Equations : AP Physics C
Take your AP Physics C students beyond memorization! This calculus-based worksheet walks them step-by-step through deriving all kinematics equations using differential equations, complete with a full answer key for easy grading. Grades: 11-12 | Subject: AP Physics C | Topic: Kinematics (Calculus-Based) Product Description:This AP Physics C – Deriving Kinematics Equations Worksheet is a must-have for any calculus-based physics classroom! Perfect for deepening conceptual understanding, this reso
11th - 12th, Higher Education
Calculus, Engineering, Physics
Where's My Calculus Pie? AP Calculus AB BC Pi Day Activity
Celebrate Pi Day with Trig Substitution! 🥧📐Make March 14th meaningful and mathematically delicious with this Pi Day Calculus Integration Worksheet! This engaging activity helps students practice trigonometric substitution while celebrating everyone’s favorite irrational number. Students will work through one integral that naturally leads to π, using trigonometric substitutions, trigonometric identities, and formulas to simplify expressions and evaluate a definite integral. The problem is d
10th - 12th
Calculus
AP Calculus Limits & Continuity Interactive Review / Self-Testing Study Guide
Help your AP Calculus AB students master limits and continuity with this interactive review and study guide designed to support conceptual understanding, self-checking, and exam readiness. Help your AP Calculus students organize, practice, and self-check their understanding of limits and continuity with this interactive review and study sheet. This resource is designed to be more than a worksheet — students actively engage with definitions, examples, and concepts using foldable flash-card tab
10th - 12th, Higher Education
Calculus, Math Test Prep
Also included in: AP Calculus AB Review Bundle – Interactive Foldables & Study Guides
AP Calculus AB/BC Guided Notes Units 1-4 with Key!
AP Calculus AB/BC Units 1-4 Guided Notes with Answer Key! Aligned directly with Collegeboard CEDIncludes guided notes, practice pages, and answer keysPDF file
10th - 12th, Higher Education
Calculus, Other (Math)
Chain Rule Activity Bundle | Guided Notes, Practice, Exit Tickets & Games
Help your calculus students understand the Chain Rule by thinking in layers! This resource uses a memorable inside-out “pretzel” approach to help students identify the inside function, track each layer of a composite function, and build the derivative one piece at a time. This is especially helpful for students who struggle with composition of functions, forget the inside derivative, or need a stronger foundation before future topics like u-substitution. What’s Included Guided notes Scaffol
11th - 12th, Higher Education
Calculus
Applications of Integration (AP Calculus AB - Unit 8)
Applications of Integration Calculus Unit Bundle: This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), 2 mid-unit quizzes, unit test, unit review, and unit pacing guide for Applications of Integration Calculus (Unit 8). This unit contains 7 lessons. Lesson 8.1: Average ValueLesson 8.2: Connecting Position, Velocity, and Acceleration Using IntegralsLesson 8.3: The Accumulation Function and Definite Integrals in Applied ContextLesson 8.4:
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 2 Bundle Units 6-8
AP Calculus AB/BC Unit 4 Contextual Apps of Derivatives Guided Notes with Key
AP Calculus AB/BC Unit 4 Guided Notes with Answer Key! Aligned directly with Collegeboard CEDIncludes guided notes, practice pages, and answer keysPDF file
10th - 12th, Higher Education
Calculus, Other (Math)
Also included in: AP Calculus AB/BC Guided Notes Units 1-4 with Key!
Notes Overview of Related Rates using Implicit Differentiation
I created this for Calculus to use as a notes summary for students to reference with the written processes and an accompanying example applying related rates skills using implicit differentiation.
12th
Applied Math, Calculus
AP-Precalculus Preview Outlined Notes & Lesson Plan beginning of the year Review
This outlined note packet is intended forAP-Precalculus (or non-AP) to start off the year with some review topics and preview topics that will give your students time to prepare themselves for what the year will bring. It covers a wide variety of topics: exponent properties, solving linear equations and inequalities, slope (rate of change), equations of a line in all forms, linear regressions, solving systems of equations, factoring, solving quadratics, finding x and y-intercepts, and multiple r
9th - 12th
Calculus, Other (Math), PreCalculus
One Sided Limits Calculus Guided Notes Task Cards and HW
Your Calculus students will get lots of practice with One Sided Limits with this Task Card Activity with Guided Notes and HW. Students love working in small groups and this will foster many questions and discussions. There are 16 Task Cards which include: finding one-sided limits limit from graphsfinding one-sided limits of piecewise defined functionsfinding one-sided limits of rational functionsfinding one-sided limits of radical functions requiring rationalization of the numeratorconcept
11th - 12th, Higher Education
Calculus, Math, Math Test Prep
Also included in: Limits and Continuity Calculus Unit 1 Bundle
AP Calculus AB/BC Unit 2 Derivatives Guided Notes with Key
AP Calculus AB Unit 2 Guided Notes with Answer Key! Aligned directly with Collegeboard CEDIncludes guided notes, practice pages, and answer keysPDF file
10th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus AB/BC Guided Notes Units 1-4 with Key!
AP Calculus AB/BC Unit 3 Composite, Implicit, Inverse Guided Notes with Key
AP Calculus AB Unit 3 Guided Notes with Answer Key! Aligned directly with Collegeboard CEDIncludes guided notes, practice pages, and answer keysPDF file
10th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus AB/BC Guided Notes Units 1-4 with Key!
AP Calculus AB/BC Unit 1 Limits and Continuity Guided Notes with Key
AP Calculus AB Guided Notes with Answer Key! Aligned directly with Collegeboard CED Includes guided notes, practice pages, and answer keysPDF file
10th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus AB/BC Guided Notes Units 1-4 with Key!
Introduction to Derivatives Guided Notes
Use these guided notes to introduce students to derivatives for the first time! Students first graph the function f(x) = x2 and then attempt to find the rate of change at a given point. Students learn that they must find the slope or gradient of the tangent line at a point. Using the limit definition of a derivative, students are then led to find the derivative of various polynomial functions. Created for IB Math SL, but great for introductory Calculus as well.
11th - 12th
Calculus, Math
Eigenvalue & Eigenvectors Made Easy - Notes, Presentation and Assignment
Looking for clear and student-friendly notes on Eigenvalues and Eigenvectors? This complete lesson is designed to make teaching Eigenvalues and Eigenvectors simple, especially for teachers covering it for the first time. Created specifically for IB Math Applications and Interpretations HL, this resource is perfect for introducing the topic in a way that students can actually understand. What’s Included: ✅ Clear, step-by-step notes (in plain English) ✅ Editable PowerPoint presentation with def
11th - 12th, Higher Education
Algebra, Calculus, Other (Math)
Derivatives & Differentiability Cheat Sheet | AP Calculus AB/BC Rules & Formulas
Help your students master derivatives with this clear, comprehensive Differentiability & Derivative Rules Cheat Sheet for AP Calculus! This 2-sided, one-page resource is perfect for learning, review, and exam prep, covering all essential derivative concepts and formulas students need for success in AP Calculus AB and BC. 📘 What’s Included:• Definition of the derivative (multiple forms) • Difference quotient and rate of change • Average vs. instantaneous rate of change • Equation of a tangen
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Other (Math)
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