Parallel Lines Project
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AP Calculus BC Polar Design Project (Taylor and Maclaurin series also included)
Polar Design Project – AP Calculus BC End-of-Year Project (Includes Series, Derivatives & Integrals)Bring creativity into your AP Calculus BC classroom with this engaging Polar Design Project that combines art, calculus, and real understanding! Students create a unique design using polar equations and analyze it using key BC concepts such as: Area between polar curves (definite integrals) Slope of tangent lines in polar form (derivatives) Taylor/Maclaurin series (local approximation) This
11th - 12th, Higher Education
Calculus, Math Test Prep, Other (Math)
BUNDLE! Complete Derivative Rules Review for Calculus Success
Mastering Finding Derivatives: Power Rule and Writing Tangent Lines in CalculusReview Worksheet:Diverse Problem Set: The worksheet covers a variety of function types:Classic power rule problems that reinforce foundational concepts.Three functions that require students to distribute before differentiating.Three functions that necessitate “breaking” the fraction down first.Tangent Line Applications: Students will also tackle two problems where they write the equation of a tangent line at a specifi
10th - 12th
Calculus, Math, Math Test Prep
Preschool & Kindergarten Math Workbook 150 Pages | Numbers, Shapes, Time & More
This 150-page printable PDF is a complete math workbook for preschool and kindergarten students. It covers essential early math skills through engaging activities. What's inside?Number Recognition & Counting: Numbers 1-20, counting objects, before/after/betweenAddition & Subtraction: With pictures for easy understandingComparing Numbers: Greater than, less than, equal toShapes: Identifying, tracing circles, squares, triangles, rectangles, hexagons, pentagons, diamondsTracing Lines & Curves: Pre
PreK - 1st
Calculus, Numbers, Telling Time
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
Optimization Volume Project for Calculus
This project is for Calculus after students have mastered Optimization using derivatives. It is a hands-on activity in which students will find the minimum surface area of different geometric objects given a specific volume and then build the object. It includes worked out solutions for multiple geometric objects so that every student can do a different object. It culminates with a day to fill the objects with candies to see how close their object is to the set volume. Great project!
12th, Higher Education
Calculus
AP Calculus Project: Roller Coaster with Piecewise Functions & Derivatives
Engage your AP Calculus students after the exam with this hands-on and creative project! Students design a mathematically valid roller coaster using piecewise functions that are continuous and differentiable at each transition point. They must graph the coaster, build a 3D model, and provide formal mathematical proofs of continuity and differentiability. Perfect for: AP Exam wrap-up weeks Summative assessments Honors Calculus projects Includes: Full student instructions Grading rubric Proof
10th - 12th
Calculus
AP Calculus BC “Tough Stuff” Project | Review & Concept Mastery Activity
Looking for a meaningful way to help your AP Calculus BC students review challenging concepts while building confidence before the exam? This FREE “Tough Stuff” Project is a student-centered activity that encourages deeper understanding, ownership of learning, and peer teaching—all essential for success in AP Calculus BC. Students identify a concept they find difficult, learn it more deeply, and then teach it in a clear and engaging way. This project is perfect for pre-exam review, post-unit r
9th - 12th
Calculus, Math Test Prep, PreCalculus
Connecting Derivatives, Riemann/Trapezoidal Sums, and Tangent Lines
Students will match/sort cards depending on what connections can be made between first and second derivatives, left, right, and trapezoidal sums, and whether a tangent line would be an over or underestimate of a curve.
9th - 12th, Higher Education
Calculus
Create a Calc-u-lentine Box Activity
Give your Calculus students a "crush" on math this February! This hands-on project transforms the traditional Valentine’s Day card box into a comprehensive portfolio of Calculus applications. From maximizing volume to approximating the area of a heart, this project requires students to apply core concepts to a physical 3D object. This project is designed for High School Calculus (AB, BC, or Dual Enrollment). Students are challenged to design a card box where every side represents a different Cal
11th - 12th
Calculus
Threads & Trends: Build a T-Shirt Company with Calculus
Turn your classroom into a business lab with this engaging end-of-year AP Calculus AB project! In Threads & Trends, students create their own T-shirt company and use calculus to make real business decisions. They’ll build cost, revenue, and profit functions, use derivatives to maximize profit, graph their models, and make data-driven recommendations like real entrepreneurs. This project blends optimization, derivatives, modeling, and business applications into a creative, real-world challenge
11th - 12th
Calculus, Engineering, Math Test Prep
AP Calculus AB Dodecahedron End of Year Review
It is the end of the year and now it is time for review. This mini project will help students focus in on a topic and get even more comfortable with it. The students will fill out each of the pentagons and then put them together for a dodecahedron review. They will look at the CED and see how and where their topic lies, create their own MCQ and FRQ based questions, review important formulas and more. This project is editable, so please, make this your own. You can do this project individua
11th - 12th
Calculus
Instantaneous Rate of Change | Answer Key
This worksheet focuses on estimating and calculating the instantaneous rate of change of functions at specific points. Students practice finding slopes of tangent lines using limits, difference quotients, and interpreting graphs or tables to approximate instantaneous rates. Problems include polynomial and quadratic functions. Ideal for deepening understanding of derivatives and preparing for calculus concepts.
9th - 12th, Higher Education
Calculus, PreCalculus
AP Calculus: Area, Volumes of Revolution & Cross-Section Around the Room Circuit
Transform your AP Calculus review with this engaging, self-checking "Area and Volume Around the Room Circuit." This dynamic activity features 12 AP-style problems covering: ✅ Tangent Lines ✅ Area of Regions (5 problems) ✅ Volume of Revolution (4 problems) ✅ Cross-Sectional Volume (2 problems)Designed for collaborative learning, students work in pairs or trios, solving problems that guide them through the circuit until they return to their starting point. With a mix of 7 calculator and 6
11th - 12th
Calculus, Math, Math Test Prep
Design a Packaging to Maximize Volume
📦 Design an Open-Top Box to Maximize Volume: A Phenomena-Based STEM Optimization Challenge (5E Lesson)Turn your classroom into a hub of innovation with this real-world, phenomena-driven STEM project where students investigate a powerful mathematical question: How can we maximize volume while working within real design constraints?In this engaging challenge, students act as engineers tasked with designing an open-top box from a flat sheet of material, using mathematics to determine the most ef
10th - 12th
Algebra 2, Calculus, PreCalculus
CCSS, NGSS
HSA-SSE.A.1a
, HSF-BF.A.1
, HSF-LE.A.3
+5
Also included in: STEM Night Expo Bundle
AP Calculus Washers & Discs - Arrow Sudoku Puzzle Activity
This is a 60 minute activity over disk and washer method for AP Calculus. This should be applicable for both AP Calculus AP and BC. It includes Volume via rotation around x-axis and y-axisVolume around vertical and horizontal lines that are not the axesNote that cylindrical shells can, of course, be used for a number of these problems, however no problem results in an impossible integral using washer or disc method, so shells is not absolutely necessary. The puzzle follows the same rules as a tr
10th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Puzzle Activities Bundle - Second Semester
Area Between Two Curves Investigative Activity | AP Calculus AB & BC
Introducing your AP Calculus AB or BC class to the concept of area between two curves has never been easier with this structured, investigative task! Designed to build understanding progressively, this resource walks students step-by-step through increasingly rigorous applications of definite integrals: Page 1 investigates the area between two basic lines, allowing students to connect geometric reasoning with integral setup. Page 2 moves on to switching the upper curve at a point, requiring s
10th - 12th
Calculus, Math
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
The Derivative is the SLOPE of a Tangent Line Scavenger Hunt for Calculus
Engage your AP Calculus AB or AP Calculus BC students with this interactive Around-the-Room Circuit Activity focused on understanding the relationship between the derivative and the slope of a tangent line — a foundational AP Exam concept! This movement-based review helps students practice multiple representations of derivatives while building confidence with common AP-style questions. What’s Included (14 Total Problems): This circuit covers the most common ways the AP Exam assesses derivati
10th - 12th
Calculus, Math, Math Test Prep
Also included in: BUNDLE! Complete Derivative Rules Review for Calculus Success
Precalculus Polar Graphs - Coordinate Battleship Graphing Game Lesson Activity
Precalculus or Calculus lesson game for Polar Coordinate practice! Play battleship with a classmate! Students have so much fun trying to sink each others' ships while getting needed practice with plotting polar coordinates and practicing with coterminal angles. This is one of my students favorite activities of the year! I use it in my AP- Precalculus class and spend one class period playing (48 minutes). The directions are right on the worksheet along with 2 "game boards". I usually project
9th - 12th
Algebra 2, Calculus, PreCalculus
AP Calculus AB Multiple Choice No Calculator Review Activity
AP Calculus AB Multiple Choice Questions Scavenger Hunt is an interactive way for students to practice a variety of topics on the no calculator part of the AB calculus exam. This resource comes ready to go. Just print and hang the cards around your classroom! AP Calculus AB Multiple Choice Review has 20 problems covering both differential and integral calculus including applications. All problems are designed to be completed without using a calculator. Concepts Include:Limits and Continuit
11th - 12th, Higher Education
Calculus, Math
CCSS
MP1
, MP2
, MP4
+1
Polar Graphs Task Cards Matching and Organizers with QR
These Polar Graphs Task Card, Matching Activity with Graphic Organizer Summary will give your Trig, AP PreCalculus, PreCalculus students the practice they need to succeed and are designed to build your students' skills and proficiency and retention on this topic. These activities will reinforce concepts taught in class and will solidify their understanding of Polar Graphs. My students like to explore the subtle differences of the graphs of limacons and cardioids and what makes them loop and
10th - 12th
Calculus, Other (Math), PreCalculus
Also included in: AP PreCalculus Unit 3 Trig Functions Activity Bundle
Calculus Implicit Differentiation Task Card Activity
Calculus implicit differentiation task card activity will give students an opportunity to practice a variety of questions with different levels of difficulty. This activity is perfect for students to work on in pairs or groups. Calculus implicit differentiation practice activity has 16 task cards using all derivative rules (power, product, quotient, and chain rule) with algebraic functions (polynomials and radical functions), trig functions (sine, cosine, and tangent only), and exponential fu
11th - 12th, Higher Education
Calculus
CCSS
MP1
, MP2
, MP6
Also included in: Calculus Derivative Practice Task Card Review Activity
Limits Calculus Coloring and Review Activity
This Evaluating Limits Color by Number for Calculus and PreCalculus will give your students the challenging practice they need to succeed. Even big kids love coloring. This fun, engaging but rigorous activity includes 23 review questions from the unit on limits. Students find limits algebraically and and from graphs. Problems do not include limits as x approaches infinity. Great for End of Unit Review or anytime as a refresher. Difficulty levels for the problems are are mixed and this
10th - 12th
Calculus, PreCalculus
Also included in: Limits Bundle of Fun Activities for Calculus
Polar Coordinates Mystery Picture
Students will practice plotting polar coordinates to create a mystery picture. Coordinates include radians, degrees, negative angles and radii, and coterminal angles. When points are plotted and connected in order, the resulting picture is a sea turtle.
9th - 12th
Calculus, Graphing, PreCalculus
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