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Programs & methods
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
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
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
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
1.2 - Function Notation f(x) (MCR3U Grade 11 Functions / Pre-Calculus)
Ontario Curriculum Expectations:A1.2 - represent linear and quadratic functions using function notation, given their equations, tables of values, or graphs, and substitute into and evaluate functions.
11th
Algebra, Calculus, PreCalculus
EVALUATING LIMITS GIVEN A GRAPH AND MANIPULATING LIMITS WORKSHEET
This worksheet is intended for students after they have learned the following topics: 1.2 - Defining Limits and using Limit Notation 1.3 - Estimating Limit Values from Graphs 1.5 - Determining Limits Using Algebraic Properties of Limits 1.6 - Determining Limits Using Algebraic Manipulation It is perfect for a mid - unit review in Unit 1 (AP Calculus AB Course and Description). In this worksheet, I have included examples where students evaluate limits given a graph, evaluate left-hand and right-
10th - 12th, Higher Education
Calculus
AP Calculus BC Exam Study Packet | All Units | 100 Question Practice Test
A complete, print-ready AP Calculus BC exam study and review packet covering all AB content plus every BC-exclusive topic: advanced integration techniques, parametric and vector-valued functions, polar curves, and infinite sequences and series. Every major theorem, technique, and formula is explained, demonstrated with worked examples, and practiced with AP-style multiple choice questions. Includes a 100-question practice test that mirrors the actual AP Calculus BC exam format — no-calculator an
12th
Calculus
Also included in: AP Calculus AB + BC Exam Study Packets Bundle | 200 Practice Questions
Limit of Functions
Chapter: LimitsThis chapter introduces the concept of limits, which form the foundation of calculus. Limits describe how a function behaves as the input approaches a particular value, even if the function is not defined at that value. Understanding limits is essential for studying continuity, derivatives, and integrals. Students will learn to evaluate limits using graphs, tables, algebraic techniques, and analytical reasoning. The chapter covers one-sided limits, limits at infinity, and infin
10th - 12th, Higher Education
Calculus, Math Test Prep, PreCalculus
Continuity Worksheet for AP Calculus AB BC Limits Unit
Introducing the concept of Continuity for AP Calculus during the Limits Unit. The worksheet builds up the concepts of how and where a function could be discontinuous. Does the function value exist? Does the limit exist? Are those values the same?
9th - 12th
Calculus, Graphing, PreCalculus
AP Calculus BC Digital & Print Study Guide | Includes 100-Question Practice Test
Help your students get that 5 on the AP Calc BC exam! This study and review covers all AB content plus every BC-exclusive topic: advanced integration techniques, parametric and vector-valued functions, polar curves, and infinite sequences and series. Each major theorem, technique, and formula is explained, demonstrated with worked examples, and practiced with AP-style multiple choice questions. Includes a 100-question practice test with an answer key and explanation for every question. AP Calcul
12th
Calculus
Sine & Cosine Functions Matching Activity | Graphs, Equations, Tables & Words
Help your students master the behavior of sine and cosine functions with this engaging, hands-on matching activity! Students will connect four representations of sinusoidal functions: graphs, equations, verbal descriptions, and tables of values. What’s Included: 12 sinusoidal functions, each with: A graph A sine or cosine equation A table of values A verbal description Cut-and-match card sets Blank student answer sheet Teacher answer key Flexible Classroom Use: Stations or group work
9th - 12th
Algebra 2, Calculus, PreCalculus
Derivatives of Inverse Trig Functions Partner Activity | Calculus Practice
Help your Calculus students master derivatives of inverse trigonometric functions with this interactive partner worksheet activity. This resource provides structured practice with arcsin, arccos, arctan, and arccot derivatives, including applications of the chain rule, evaluating derivatives at specific values, and interpreting derivative limits as the slope of a tangent line. This is perfect for reinforcing derivative rules, building fluency with inverse trig differentiation, and improving
11th - 12th
Calculus
Also included in: Derivatives Activity Bundle for Calculus | Print & Digital Practice
Limits on Tables Practice Worksheet
Strengthen your students’ understanding of limits with this focused Calculus worksheet on evaluating limits from tables. In this activity, students analyze numerical data presented in table form to determine the limit of a function as xxx approaches a given value. Students must express each answer using proper limit notation, reinforcing both conceptual understanding and mathematical communication. Skills Reinforced: Interpreting function behavior from a table Identifying one-sided and two-si
11th - 12th, Higher Education
Calculus, Math Test Prep, PreCalculus
CCSS
MP6
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