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AP Calculus Applications of Integration - Domino Puzzle Activity
This is a 60 minute activity over applications of integration for AP Calculus. This should be applicable for both AP Calculus AP and BC. It includes Area of region between two curvesVolume via rotation around x-axis and/or y-axis (disc-method only)Volume using cross-sections xAverage valueNote that both washer-method, cylindrical shells, and rotation around vertical or horizontal lines that are not the axis is not part of this activity. I find that students need a little practice with the basic
10th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Puzzle Activities Bundle - Second Semester
Grade 1–3 Math Worksheets – Addition, Subtraction, Multiplication, Division (19)
This bundle includes 19 printable math worksheets with 171 problems. Perfect for Grade 1–3 students to practice addition, subtraction, multiplication, and division. ✔️ Great for classroom use, homework, or homeschooling ✔️ Simple and clear layout for kids ✔️ Black and white design to save ink What’s included: 19 worksheets (PDF format)171 problems in totalCovers addition, subtraction, multiplication, and divisionGive your students extra practice in essential math skills while keeping learning fu
PreK - 6th
Basic Operations, Calculus, Numbers
Calculus Derivatives Critical Values Extrema Task Cards and Worksheet
This Calculus activity on Critical Values, Absolute Extrema, and Relative Extrema is designed for Calculus 1 or AP Calculus and is part of the unit, Applications of the Derivative. Students find critical values, and then apply them to find extreme values. This engaging activity is excellent practice and enrichment to reinforce a lesson before the first derivative test. Included: 20 Task Cards in both color and black and white for easy printing. They are numerically coded.#1 – 7 Determine
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Bundle of 15 Activities and Resources
AP® Calculus BC - Unit 9: Parametric Equations, Polar Coordinates, Vector-Value
This resource includes one powerpoint-style lesson (example is in the preview) per section, one worksheet set with full solutions per section, one reference sheet for the unit, and one unit test for the unit with solutions. Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions9.1 Defining and Differentiating Parametric Equations 9.2 Second Derivatives of Parametric Equations 9.3 Finding Arc Lengths of Curves Given by Parametric Equations 9.4 Defining and Differentiating Ve
12th, Higher Education
Calculus
Also included in: AP® Calculus BC - Full Course Curriculum
Parametric Equations - Vector Valued Functions with Calculus
These activities and resources for Calculus and Parametric Functions and Vector valued Functions are designed for AP Calculus BC and College Calculus 2. This topic is included in the Calculus 2 Unit, Polar and Parametric Functions and is also be part of the Unit 9 Parametric Equations, Polar Coordinates, and Vector-Valued in AP Calculus BC. Topics includeSlope of Parametric Equations and Vector Valued FunctionDetermining a Tangent lint to a parametric equationsEnclosed Area of Functions define
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC or Calculus 2 Supplement Bundle
Tangent Lines to Parametric Vector Valued Functions Calculus
In this Tangent Lines to Parametric Functions (Vector Valued Functions) lesson, students use the formulas for derivatives of parametric equations to find derivatives and also find equations of tangent lines. They will also determine vertical and horizontal points of tangency for parametric curves (Vector Valued Functions). Included in the Activity: 10 Task or Station cards plus one blank for you to personalize if you choose. There are ten questions. For #1 – 8 students find a tangent line
10th - 12th
Calculus, Math
Calculus Intermediate Value Theorem Foldable Notes and Practice
Your Calculus students will learn, understand, and apply the Intermediate Value Theorem with the help of this foldable organizer and practice resource. Designed for Unit 1, Limits and Continuity, this trifold contains notes, diagrams, a completed example, and 6 problems for your students to complete. The foldable can be used stand alone or in Interactive Notebooks if desired. What's included?The foldable with notes, examples and problemsan additional HW assignment or quiz with 6 similar pro
11th - 12th, Higher Education
Calculus, Math, Math Test Prep
Also included in: Calculus Foldables Big Bundle
AP Calculus Unit 8 Coloring Pages: Average Value, Area, Disc, Washer, Arc Length
AP Calculus Unit 8 Coloring Pages – Applications of Integration! ✨Help students build strong conceptual understanding of Area between curves, disc method, washer method, and arc length (BC concept) with this engaging set of AP Calculus Unit 8 coloring pages! These visual, student-friendly worksheets transform abstract integration techniques into approachable, memorable practice—supporting both procedural fluency and conceptual insight. Perfect for warm-ups, stations, review days, sub plans, or i
10th - 12th
Calculus
Calculus Average Value and Mean Value Theorem for Integrals
This Calculus resource on the Mean Value Theorem and the Average Value includes three parts to help your students understand and apply the Mean Value Theorem for Integrals. Included in the Lesson: Guided Notes handout which demonstrates Average value and the MVT with two examples, one completed, showing all the steps, and a second example for your students to complete.Set of 11 task or station cards for your students to practice. Five of the problems are applications. There is a good mix of c
11th - 12th, Higher Education
Calculus
Also included in: Calculus Integration and Accumulation of Change Functions Bundled Unit
AP CALCULUS AB - 8.1 AVERAGE VALUE OF A FUNCTION ON AN INTERVAL
This Calculus worksheet is intended for students after they have learned the following lessons from the AP Calculus AB Course and Description: 6.6 Applying Properties of Definite Integrals 6.7 The Fundamental Theorem of Calculus and Definite Integrals 6.9 Integrating Using Substitution 8.1 Average Value of a Function on an Interval In this worksheet, I have included various examples where students find the average value of a function on a given interval. The problems include a polynomial functio
9th - 12th, Higher Education
Calculus
AP Calculus Unit 1 Coloring Pages: Limits, Continuity, Intermediate Value Thm
AP Calculus Unit 1 Coloring Pages – Limits & Continuity Made Visual! ✨Bring clarity and creativity to AP Calculus Unit 1 with this engaging set of limits-and-continuity–focused coloring pages! These visually rich coloring pages help students internalize foundational limit concepts through guided, low-stress practice that strengthens both conceptual understanding and procedural confidence. Perfect for classwork, stations, review days, early finishers, homework, or sub plans—this resource boosts e
10th - 12th
Calculus
Introduction to Extreme Value Theorem (EVT) for AP Calculus AB
This introductory activity helps AP Calculus AB students explore the Extreme Value Theorem (EVT) in an intuitive way before taking formal notes on the topic. Students begin with a real-world analogy — hiking a trail — to understand the concept of absolute maxima and minima. Students will: ✔ Analyze continuous functions on closed intervals ✔ Predict extrema and verify their findings through graphing ✔ Graph two functions by hand and two using a graphing calculator The activity emphasizes why c
10th - 12th
Calculus
AP CALCULUS BC - UNIT 9 PARAMETRIC, POLAR, & VECTOR-VALUED FUNCTIONS HANDOUT
This Handout includes Parametric Equations Formulas, Polar Curves (Circles, Rose Curves, Lemniscates, & Limacons), Polar Equation Formulas, & Vector-Valued Functions/Particle Motion Formulas (Unit 9 - AP Calculus BC Course and Description). It includes formulas and tips for the following topics: 9.1 - Defining and Differentiating Parametric Equations 9.2 Second Derivatives of Parametric Equations 9.3 Finding Arc Lengths of Curves Given by Parametric Equations 9.4 Defining and Differentiating Ve
9th - 12th, Higher Education
Calculus
Also included in: AP CALCULUS BC EXAM STUDY GUIDE & FORMULA SHEET BUNDLE
AP CALCULUS AB - UNIT 5 CRITICAL VALUES & ABSOLUTE MIN/MAX ON A CLOSED INTERVAL
This Calculus worksheet is intended for students after they have learned the following topics (Unit 5 AP Calculus Course and Description): 5.2 - Critical points 5.5 - Using the Candidates Test to Determine Absolute (Global) Extrema In this worksheet, students will practice finding critical points of a given function, and finding absolute minimum/maximum values on a closed interval. I have also included solutions so that as the students complete each problem, they can check whether their answer i
9th - 12th, Higher Education
Calculus
AP Calculus AB Topic 1.16: Intermediate Value Theorem (IVT) (PDF + LaTeX)
The Intermediate Value Theorem is guaranteed to be on the AP Exam. Make sure your students know how to write the formal justification. Get perfectly formatted, AP-aligned practice that you can edit in seconds.This premium 10 question practice set is perfectly aligned with the AP Calculus AB Course and Exam Description (CED) for Topic 1.16: Working with the Intermediate Value Theorem (IVT). It moves students past the intuitive idea of "connecting the dots" and forces them to verify the strict c
11th - 12th, Higher Education
Calculus
AP Calculus Parametric Eqns, Polar Coords, Vectors MC Practice – BC Test Prep
AP Calculus Parametric Equations, Polar Coordinates, and Vector-Valued Functions Multiple Choice Practice – 25+ AP-style questions covering parametric curves, polar graphs, vector operations, velocity, acceleration, and motion in the plane (BC). Aligned to AP College Board CED Units 9. Build student confidence before unit tests and the AP exam with rigorous, classroom-ready problems that balance conceptual understanding and procedural skill. What's Included: Original AP-style multiple choice que
9th - 12th, Higher Education
Calculus, Math Test Prep, Other (Math)
Limits & Limit Definition Matching
In this activity, students will play a game of memory. Place all the cards face down and flip two over at a time. If the two cards have the same answer they've created a pair and may keep it (teacher/students can decide if this means they get to go again). Each card either has a limit problem or a limit definition of a derivative problem on it. Great review before the AP Test.
10th - 12th
Calculus
Calculus Continuity of Piecewise Functions and Functions with Holes
In this Calculus Continuity of Piecewise Functions activity your students determine the values of x which make a discontinuous piecewise function or functions with holes continuous everywhere as they explore points of discontinuity. This activity is designed to build your students' skills and proficiency with analyzing continuous functions, What's included? 16 Task or Station Cards which explore the topic of finding a value which makes a discontinuous function continuous. My students ha
11th - 12th
Calculus, Math
Also included in: Limits and Continuity Calculus Unit 1 Bundle
Derivative and Integral Relations
Visualize Fundamental Calculus Concepts The calculus curriculum and the AP calculus exams place a heavy emphasis on the relations between a function and its first and second derivatives and integrals. This resource presents those relations with clear graphics and intuitions.
10th - 12th, Higher Education
Calculus
Calculus AB Unit 1 Notes: Guided Notes, Practice, MCQs, & FRQs
These Calculus AB Unit 1 guided notes cover Limits, Continuity, and the Intermediate Value Theorem. They include worked and unworked examples for teacher-led instruction or student practice, with over 300 practice problems, end-of-section MCQs, and select FRQs. Topics IncludeIntroduction to derivativesDefinition of a limit and limit notationLimits graphically and tabularlyProperties of limitsEvaluating limits algebraicallyPolynomials, radicals, complex fractions, piecewise, absolute value, trigT
10th - 12th
Calculus
Absolute Extrema Exploration handout and answer key
This resource allows Calculus students to explore the ideas that underly the Extreme Value Theorem before the words "Extreme Value Theorem" are ever mentioned, building on foundations of precalculus, continuity, and horizontal tangent lines. Students will see multiple instances of functions that do not have absolute extrema, for various reasons. Then they are prompted to consider the "bare minimum" requirements for a function to be guaranteed absolute maximum and absolute minimum values. Next, t
11th - 12th, Higher Education
Calculus
The three little pigs : a game to learn counting
This game helps in understanding the digital system. He works on the ten and places the child in situations of groups and trade (with still visible quantity). It introduces to the understanding of addition and subtraction with restraint.
PreK - 2nd
Calculus, French, Numbers
Unit Circle: Study Sheet, Quiz, and Answer Key
This resource includes a blank unit circle with areas to fill in the radian angles, degree angles, sine values, cosine values, and tangent values for student practice. Additionally, a unit circle quiz and answer key are also included with directions and a full page of problems of various difficulty levels to solve with a completed unit circle.
8th - 12th, Higher Education
Calculus, PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.2
, HSF-TF.A.3
AP Calculus Unit 5 - Posters / Bulletin Board Kit / Reference Sheet Review
Decorate your classroom with these memory device Calculus posters that include tips and tricks for concepts such as Mean Value TheoremGlobal Vs Local ExtremaIncr/decr intervalsIntervals of ConcavityFirst Derivative TestCandidates Test Second Derivative Test Connecting f f’ f’’Optimization These posters review all concepts needed for AP Calculus AB and BC Unit 5: Analytical Applications of Differentiation Hang these posters around your classroom to help students put to memory key concepts from Un
10th - 12th
Applied Math, Calculus
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