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Preview of AP Calculus Project: Roller Coaster with Piecewise Functions & Derivatives

AP Calculus Project: Roller Coaster with Piecewise Functions & Derivatives

Created by
Diane McClaskey
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
Preview of Calculus BIG Jeopardy Review Game - Differentiation & Integration

Calculus BIG Jeopardy Review Game - Differentiation & Integration

Topics in this Jeopardy Review Game include: 1. Derivatives 2. Using Derivatives to Graph Functions 3. Applications of Derivatives 4. Integrals 5. Applications of Integration 6. Mixed Review (For this, I used questions that related to our class, so I would recommend personalizing them for yourself or excluding the category). This game would be a great review for IB Math SL or AP Calculus AB, and I recommend having students work in groups for Jeopardy. Answers are included in the Power Point.
Preview of PreCalculus Curriculum Bundle Activities Notes Assessments

PreCalculus Curriculum Bundle Activities Notes Assessments

Created by
Joan Kessler
This PreCalculus Curriculum Bundle with Notes, Organizers, and Activities, includes over 135 Resources which will enhance your lessons and engage your students with rigorous, challenging and fun lessons. It will also supplement your AP PreCalculus course. If you need help organizing the activities for the AP course, please email me. Though this bundle includes engaging activities such as Task Cards, Matching, Mazes, Games, and Coloring, it also contains course content within Flip Books, F
Preview of DERIVATIVES HIDING IN THE LIMIT FORMULA

DERIVATIVES HIDING IN THE LIMIT FORMULA

Created by
SG'S STEM STORE
Description: Derivative Detectives 🕵️‍♂️In this activity, students become Derivative Detectives and solve the mystery of hidden derivatives! Each problem is written as a limit, but secretly represents a derivative using the definition: f′(a)= Lim h→0(f(x+h)-f(x))/h ​ Students must analyze each expression, identify the function and the point, and determine the derivative. Then, they match their answers to the correct choices. This activity helps students: Recognize derivatives from limits (fir
Preview of Math Exit Tickets Grades 9–12 | DOK Levels 1–3 | PDF + Google Slides | CCSS

Math Exit Tickets Grades 9–12 | DOK Levels 1–3 | PDF + Google Slides | CCSS

Created by
DeskMade
Exit tickets for senior Math that match the depth and rigour of high school mathematical thinking. This pack gives you 36 DOK-leveled exit tickets across 12 skills from functions and proof through to calculus, matrices, and vectors. Every ticket has a structured working space and reasoning explanation area. DOK 3 prompts require the kind of extended justification expected at IB DP and AP level. What's Inside36 exit tickets across 12 Math skills3 DOK levels per skill (DOK 1–3)Working box on every
Preview of IB Math Applications & Interpretation SL Topic 5 Calculus BUNDLE

IB Math Applications & Interpretation SL Topic 5 Calculus BUNDLE

This is a GROWING bundle covering IB Math Applications and Interpretation SL Topic 5 Calculus standards: SL 5.1 Introduction to the concept of a limit and derivative interpreted as gradient function and as rate of rangeSL 5.2 Increasing and decreasing functions (coming soon)SL 5.3 Derivative using power rule where all exponents are integersSL 5.4 Tangents and normals at a given point, and their equationsSL 5.5 Introduction to integration as anti-differentiation of functions (indefinite and defi
Preview of Finding  g and Moment of Inertia Using a Physical Pendulum using a meter stick

Finding g and Moment of Inertia Using a Physical Pendulum using a meter stick

Created by
SG'S STEM STORE
This engaging Compound (Physical) Pendulum Lab allows students to explore rotational motion by using a meter stick suspended from different pivot points. Students will measure the period of oscillation at multiple pivot locations, analyze how the distance to the center of mass affects motion, and use their data to determine gravitational acceleration (g) and the moment of inertia (I). This hands-on investigation strengthens understanding of key physics concepts including torque, rotational
Preview of AP Calculus Differentiation Rules Unit | Guided Notes, Answer Key, & PPT

AP Calculus Differentiation Rules Unit | Guided Notes, Answer Key, & PPT

AP Calculus Differentiation Rules Unit | Guided Notes, Practice, Answer Key & Editable PPTHelp your AP Calculus students master differentiation techniques with this comprehensive Differentiation Rules Unit. These guided notes and practice pages provide structured instruction, worked examples, reflection opportunities, and independent practice designed to build conceptual understanding and procedural fluency.This resource is ideal for AP Calculus AB and BC courses and can be used for direct instr
Preview of Multivariable Calculus - Illustrating Vector Addition in GeoGebra

Multivariable Calculus - Illustrating Vector Addition in GeoGebra

Created by
FisherMath
This brief activity is designed to help students visualize 2d and 3d vectors and affirm visually the foundational idea of how vectors are added (tip to tail), verify triangle and parallelogram laws, and illustrate that vector addition is commutative. It also serves as the foundation for gaining some skills in GeoGebra that can be applied in later activities.
Preview of Lagrange Error Bound and Accuracy (BC Calculus - Unit 10)

Lagrange Error Bound and Accuracy (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus BC lesson provides you with a  customizable and  fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for  Lagrange Error Bound and Accuracy.⭐⭐ ✅ Learning Objective:★  Use Taylor polynomials to estimate values of functions ★ Use Taylor’s Inequality to measure the accuracy of approximations. ★ Use alternating series error bound to bound the error of a Taylor approximation of a function. ✅ College Board® Topics:⭐ Topic 10.
Preview of AP Calculus AB | Unit 3 Assessments

AP Calculus AB | Unit 3 Assessments

Need a quick way to assess your student's understanding of unit 3 topics? These are fully editable, multiple versions daily quizzes or "quick checks". Also a complete Unit test with scoring guide, and all keys! Included in this product are:Daily quizzesIncluded topics:The Chain RuleImplicit FunctionsHigher Order DerivativesDerivatives of Inverse FunctionsEach quiz is designed to take 10 minutes or less.Two versions of each quizUnit Exam & ReviewFRQ and MCQ formatsScoring GuideCED alignment cha
Preview of Taylor and Maclaurin Series (BC Calculus - Unit 10)

Taylor and Maclaurin Series (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus BC lesson provides you with a  customizable and  fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for  Taylor and Maclaurin Series.⭐⭐ ✅ Learning Objective:★ Differentiate and integrate a Taylor or Maclaurin series. ★ Find a geometric power series that represents a function. ★ Construct a power series using series operations. ✅ College Board® Topics:⭐ Topic 10.14: Finding Taylor or Maclaurin Series for a Function Less
Preview of AP Calculus AB Full Year Curriculum Bundle | Math Lion

AP Calculus AB Full Year Curriculum Bundle | Math Lion

Created by
Math Lion
AP Calculus AB Full Year Bundle This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quizzes, unit tests, unit reviews, and unit pacing guides for a full year of AP® Calculus AB. This bundle contains 8 units. Unit 1: Limits and Continuity Unit 2: Differentiation: Definition and Fundamental Properties Unit 3: Differentiation: Composite, Implicit, and Inverse Functions Unit 4: Analytical Applications of Differentiation Unit 5: Co
Preview of AP Calculus AB Semester 1 Bundle (Units 1 -5)

AP Calculus AB Semester 1 Bundle (Units 1 -5)

Created by
Math Lion
AP Calculus AB Semester 1 Bundle (Units 1 -5) This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quizzes, unit tests, unit reviews, and unit pacing guides for the first semester of AP® Calculus AB. This bundle contains 5 units. Unit 1: Limits and Continuity Unit 2: Differentiation: Definition and Fundamental Properties Unit 3: Differentiation: Composite, Implicit, and Inverse Functions Unit 4: Analytical Applications of Diffe
Preview of AP Calculus Multiple Choice Monday Editable Bundle

AP Calculus Multiple Choice Monday Editable Bundle

⭐⭐ This fully-editable resource includes 7 Multiple Choice Monday Skill Sets.⭐⭐ Your Calculus students will practice AP-Style multiple choice questions related to the CED Binder and Topics in the course with these skill sets. Each resource is designed as a series of “Multiple Choice Monday” Exam Prep and Practice Sets. The questions in the sets are design to better prepare students for the rigor of the AP Exam. ✅ AP Calculus AB Exam Multiple Choice Monday Activity Bundle includes: Skill Set #1:
Preview of AP Calculus Integration by U-Substitution Multiple Choice Monday

AP Calculus Integration by U-Substitution Multiple Choice Monday

This resource is Set #6 in the Multiple Choice Monday Skill SetsYour AP Calculus students will practice AP-Style multiple choice questions related to Integration Using U-Substitution with this 16-question skill set. The fully-editable resource is designed as a series of “Multiple Choice Monday” Exam Prep and Practice. The questions in the set are non-calculator prompts and should be able to be completed in a 30 to 35-minute timed setting to better prepare for the rigor of the AP Exam. You can u
Preview of AP Calculus Related Rates and Optimization Multiple Choice Monday

AP Calculus Related Rates and Optimization Multiple Choice Monday

This resource is Set #7 in the Multiple Choice Monday Skill SetsYour AP Calculus students will practice AP-Style multiple choice questions related to the Contextual and Analytical Applications of Differentiation Units in the course with this 16-question skill set. The fully-editable resource is designed as a series of “Multiple Choice Monday” Exam Prep and Practice. The questions in the set are both non-calculator and calculator prompts and should be able to be completed in a 40-minute timed set
Preview of Infinite Sequences and Series Guided Notes (BC Calculus - Unit 10)

Infinite Sequences and Series Guided Notes (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus Unit 10-BC Guided Notes Bundle provides you with a  customizable and  fully-editable resource of guided notes that cover the topics for  Infinite Sequences and Series.⭐⭐ The unit covers all 15 topics stated in the College Board Course Framework (CED) divided into 10 lessons. ✅  Learning Objectives Include: Series and Convergence (5 pages) The Integral Test and p-Series (5 pages) Comparison of Series (3 pages) Alternating Series (4 pages) Ratio and Root Tests (4 pages)
Preview of AP Calculus Topic-by-Topic Practice Drills — Zero Hour: Topic Drills

AP Calculus Topic-by-Topic Practice Drills — Zero Hour: Topic Drills

Created by
Draft and Form
The foundation skill set in the Zero Hour: AP Calculus system. Topic Drills gives students focused, single-topic practice on every major move tested on the AP exam — limits, continuity, derivatives, applications of derivatives, integration, accumulation, and differential equations. Each anchor lesson isolates one topic and drills the AP-frame exercise: see the prompt, recognize the move, deploy the rule. No mixed sets, no review-everything noise — just clean reps on the specific skill. What's in
Preview of AP Calculus Error Analysis & Find-the-Mistake Practice — Zero Hour: Error Audit

AP Calculus Error Analysis & Find-the-Mistake Practice — Zero Hour: Error Audit

Created by
Draft and Form
"Check your work" is a useless instruction unless students know what they're looking for. Error Audit teaches them to look — by giving them other students' work to dissect. Every problem in this skill set presents a worked solution with one or more embedded errors. Students don't redo the problem; they audit it. They identify the error, name the type (algebraic slip, conceptual misread, notation failure, sign error, derivative-of-a-product mistake, chain rule omission, etc.), and write the corre
Preview of Unit 1 CED Limits and continuity AP Calculus AB and BC problem of the day-warmup

Unit 1 CED Limits and continuity AP Calculus AB and BC problem of the day-warmup

Created by
Ruhle
I have created a spreadsheet that you would get access to that contains 2 problem of the days (warmup or exit ticket, bellringers) for each CED lesson. Each problem comes in two formats: pdf, and PPT. If you download the powerpoint, you can display it directly onto a whiteboard. If you print pdf, they are made so you can print half the copies, and cut the paper in half. This is a quick resource you can grab these problems to test your students understanding of a concept. This is only Unit 1. It
Preview of Infinite Sequences and Series Daily Quizzes (BC Calculus - Unit 10)

Infinite Sequences and Series Daily Quizzes (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus Unit 10-BC Daily Quiz Bundle provides you with a  customizable and  fully-editable resource of daily content quizzes that cover the topics for Infinite Sequences and Series. ⭐⭐ The  Ready-to-Go Daily Quiz Bundle will cover the 15 topics stated in the College Board Course Framework (CED). The daily quizzes are designed to be completed in 10-15 minutes. Each set of Daily Quizzes is designed to cover the standards of the course and help you assess understanding as you move
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