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)
Math MOCK Exam 5
This comprehensive mathematics mock exam is aligned with the rigor of AP Calculus, IB Mathematics (Analysis & Approaches HL), and other advanced pre-university programs. With 50 MCQ questions organized by topic and a complete answer key, it offers broad curriculum coverage in a clean, timed-exam format. 📌 Topics Covered Analytic Space Geometry (Q1–Q5) — orthogonal projections, distances to planes, parametric equations of lines, parallel planes in 3DComplex Numbers (Q6–Q10) — quadratic equ
11th - 12th, Higher Education
Calculus, Geometry, Other (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
Euler's Method, Tangent Lines Notes
These notes cover writing tangent lines and using Euler's method to get better estimations for solutions to differential equations. This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use it as part of their interactive notebook OR they can staple/tape/glue it to wherever they are taking notes. My students kept it out during the lecture and
9th - 12th, Higher Education
Calculus
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
Differential Calculus Quick Study Guide
Quick study guide for Differential Calculus. Includes formulas for derivatives, definitions of theorems, and hints for curve sketching, related rates, tangent lines, linearization, optimization, implicit differentiation, derivative of an inverse, error approximation, and velocity/acceleration.
10th - 12th, Adult Education, Higher Education
Calculus
Calculus Part 2 Notes (Derivative, Motion, Slope Fields, Euler's, Antideriv)
These notes cover introductions to the following topics: Derivative (basic trig and power rule)Motion (graphically and analytically)Slope FieldsTangent Lines and Euler's MethodAntiderivates/Indefinite IntegralsAntiderivatives and Initial ConditionsThese note sheets are formatted to be on 1/2 sheets of paper. They are intended to be handed out to the students so that they do not have to write everything down - not for them to cram everything on the note page. They can use them as part of their in
9th - 12th, Higher Education
Calculus, PreCalculus
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
Applications of Derivatives Unit
🎯 Master the most important applications of derivatives This comprehensive 100+ page unit teaches students how to apply derivatives to real-world problems, including tangent lines and graph analysis, optimization, and related rates. Designed for AP Calculus AB/BC, CLEP Calculus, Honors Calculus, and college courses, this resource builds both conceptual understanding and problem-solving mastery. ✔️ 100+ page complete unit ✔️ Concept lessons + worked examples ✔️ Scaffolded guided practice ✔️
9th - 12th, Higher Education
Calculus
Also included in: Complete Calculus 1 Review
Calculus 3 Multivariable Calculus Unit 1 Exam
This Multivariable Calculus Unit 1 Exam includes 17 questions. The test should take approximately one hour. Please look through the preview Topics Include• Space Coordinates and Vectors in Space • Dot product • Cross Product • Lines and Planes in Space • Surfaces in Space • Cylindrical and Spherical Coordinates Also included: Full SolutionsFormula Sheets for StudentsTwo-page Summary of Quadric SurfacesPlease email me for any special requests for this course. Not everything is posted at this
11th - 12th, Higher Education
Calculus, Math
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
AP Calculus: Implicit Differentiation Worksheet with detailed solutions
Objective This resource provides a structured approach to mastering Implicit Differentiation, guiding students from basic algebraic relations to complex transcendental functions. Content HighlightsScaffolded Problems: Covers basic circles, power rule fractions, and complex trigonometric equations.Practical Applications: Includes finding tangent lines, horizontal tangents, and second derivatives.Step-by-Step Solutions: Detailed keys designed to highlight the correct application of the Chain Rule
12th, Adult Education, Higher Education
Calculus
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
Halloween | Chain Rule Task Cards | 12th grade | Calculus | Higher Ed
Looking for a Calculus resource that helps students find derivative using the chain rule?This set of 🎃Halloween task cards is perfect for making learning engaging and stress-free! In these task cards students will use the chain rule to take derivatives of functions and find the slope of tangent lines. ✅ This resource includes:12 task cards (minimal prep - simply cut each sheet in fourths)An answer key for quick gradingThis resource is ideal for grades 11th-12th or higher ed.Grab it now and sta
11th - 12th, Higher Education
Calculus
Math MOCK Exam 3
This rigorous mathematics exam is aligned with the format and rigor of AP Calculus, AP Statistics, IB Mathematics (Analysis & Approaches HL), and other advanced pre-university programs. It combines a 28-question MCQ section and a multi-step open-ended problem, mirroring the mixed-format structure students encounter in international standardized exams. 📌 Topics Covered Calculus & Functions — curve reading, derivatives, tangent lines, asymptotes, concavity, limitsSequences & Series — geometri
11th - 12th, Higher Education
Calculus, Geometry, Other (Math)
Math MOCK Exam 2
This rigorous mathematics exam is aligned with the format and rigor of AP Calculus, AP Statistics, IB Mathematics (Analysis & Approaches HL), and other advanced pre-university programs. It combines a 30-question MCQ section and a rich multi-step open-ended problem, mirroring the mixed-format structure students encounter in international standardized exams. 📌 Topics Covered Calculus & Functions — curve analysis, derivatives, convexity, tangent lines, limitsSequences & Series — convergence, p
11th - 12th, Higher Education
Calculus, Geometry, Other (Math)
AP Calculus AB 1.1– Introducing Calculus: Can Change Occur at an Instant?
Build a deep understanding of one of the most important ideas in calculus: the transition from average rate of change to instantaneous rate of change.This resource introduces the fundamental question that led to the development of calculus and guides students step by step toward the concept of the derivative.✔ Average rate of change over an interval✔ The need for instantaneous rate of change✔ Secant lines and limiting processesPerfect for students beginning AP Calculus AB or BC.Build a deep unde
10th - 12th, Higher Education
Calculus
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
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
Calculus Limits by Delta Epsilon Notes plus Practice
This Calculus Limits by Definition resource will help give your students a solid foundation in this difficult topic and is designed to give them fluency understanding the limit process for finding derivatives. This is an optional topic for AP Calculus. What's Included? Guided Notes on Limits by Definition with examples13 Practice problems on Limits by Definition using the basic Delta Epsilon method to find delta, given epsilon. Three problems have fully typed solutions, ready to give out t
11th - 12th, Higher Education
Calculus, Math
Also included in: Limits and Continuity Calculus Unit 1 Bundle
Visualizing Calculus: A Visual Reference for Students and Teachers
Bring core calculus concepts to life with this classroom-ready visual resource. Designed by a PhD in mathematics with years of teaching experience, this packet uses clear diagrams and targeted prompts to build conceptual understanding from the ground up. Whether you’re teaching AP Calculus or Calculus I, these visuals help students see the math behind the rules. ✅ What’s Included7 core concepts visualized (25+ pages total)Teacher copies with labeled diagrams and instructional notesStudent copi
11th - 12th, Higher Education
Calculus
Implicit Differentiation Worksheet with Answer Key
Help students master implicit differentiation with this rigorous calculus worksheet! Students will practice differentiating implicitly, solving for y', working with trigonometric and exponential functions, and applying derivatives to tangent line and higher-derivative problems. Perfect for: AP Calculus ABAP Calculus BCCollege CalculusHonors CalculusTest ReviewHomeworkExam PrepWhat’s Included: ✔ 24 implicit differentiation problems ✔ Polynomial, trigonometric, logarithmic, and exponential equatio
11th - 12th, Higher Education
Calculus, Math Test Prep
MHF4U - Advanced Functions Gr 12 - Culminating Performance Task (CPT)
MHF4U Culminating Task – Advanced Functions (Ontario Grade 12)Bring your course full circle with this comprehensive, curriculum-aligned culminating task designed specifically for the Ontario Grade 12 Advanced Functions (MHF4U) course. This rich performance task challenges students to demonstrate mastery of key concepts while making meaningful connections between multiple function families. THEME : Hiking the Salkantay Trail in Peru to Machu PichuThis document is a 27 Page PDF. 1) The task is sp
12th, Adult Education, Higher Education
Algebra 2, Applied Math, Calculus
CCSS
HSF-IF.C.7c
, HSF-IF.C.7d
, HSF-IF.C.7e
+1
Math MOCK Exam 4
This focused mathematics mock exam is aligned with the rigor of AP Calculus, IB Mathematics (Analysis & Approaches HL), and other advanced pre-university programs. The purely MCQ format makes it perfect for timed practice, quick assessment, and exam simulation — with a complete answer key included. 📌 Topics Covered Complex Numbers (Q1–Q8) — roots of equations in ℂ, modulus, argument, exponential form, invariant points, mappingsProbability (Q9–Q15) — conditional probability, combinations, Bay
11th - 12th, Higher Education
Calculus, Geometry, Other (Math)
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