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Programs & methods
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 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
Around the Room Work Space
Use this workspace for your students when completing any type of numbered "around the room" or "scavenger hunt" activity.
5th - 12th
Calculus, Math Test Prep, PreCalculus
Calculus 1 Editable Unit Tests, Exams, and Assessments Bundle or Review
This bundle of 4 Editable Unit Exams for the Main Units in Calculus 1 will save you hours of time. Each rigorous test comes with typed full solutions for each problem. There are over 88 problems, some with multiple parts. The units are: Limits and ContinuityDerivativesApplications of the DerivativeIntegration The tests are in two formats. First is a formatted PDF version ready to print and go. The editable versions are created in MS PowerPoint and/or MS Word. You may need an equation e
11th - 12th, Higher Education
Calculus
Trapezoid Rule Basics - IB Math Calculus - Lesson - Guided Notes - HW & KEY
This guided lesson makes the trapezoid rule intuitive and visual for IB Math students. With animated slides, scaffolded examples, and matching guided notes, students grasp the why behind the formula—not just the steps. Perfect for IB and AP Calculus!This is day 1 of a 2 or 3 day lesson to help students master the estimation of the area under a curve using the trapezoid rule.Help your students confidently master numerical integration with this powerful resource that breaks down the Trapezoid Rule
10th - 12th
Calculus
Also included in: Trapezoid Rule - Calculus - Complete Teaching Bundle
AP Physics C Mechanics Calculus, Integration, Differential Equation Practice
I created this document as an collection of AP Physics problem sections that will allow students to focus on calculus practice for the AP test. It is intended to be an end of the year practice. I've re-worked the questions so that students can focus completely on the calculus only sections. Once you've purchased it, I'll send you the answer key for free!
Not Specific
Calculus, Physics
TED Talk: How to organize, add and multiply matrices- Bill Shillito
This high school math resource introduces matrices and linear algebra concepts, including operations and real-world applications like cryptography and data organization. Best for: Math, Algebra II, Pre-Calculus, STEM Includes: • 20 discussion and comprehension questions • Analytical essay prompt • Structured essay with paragraph guidance and sentence starters • Classroom debate activity • Critical thinking discussion questions Grades: 9–12, College, Adult Ed | Print-and-go
9th - 12th, Adult Education, Higher Education
Algebra 2, Calculus, Other (Math)
Trapezoid Rule - Calculus - Complete Teaching Bundle
Make the trapezoid rule stick with this complete, two-day lesson bundle that blends visuals, geometry, and algebra into a student-friendly package. Designed for IB Math but perfectly suited for AP Calculus, this resource turns one of calculus’s most misunderstood tools into an accessible, powerful concept.This bundle includes two days of lessons that build deep conceptual understanding of numerical integration using the trapezoid rule. On Day 1, students explore the meaning behind the method—co
12th
Calculus
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)
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus BC Big Bundle 2nd Semester | Flamingo Math
TED Talk: How big is infinity?- Dennis Wildfogel
This high school math resource explores infinity, set theory, and Cantor’s groundbreaking discoveries, helping students understand one-to-one correspondence, irrational numbers, and the limits of mathematics. Best for: Math, Algebra, Pre-Calculus, STEM, Critical Thinking Includes: • 20 discussion and comprehension questions • Analytical essay prompt • Structured essay with paragraph guidance and sentence starters • Classroom debate activity • Critical thinking discussion questions Grades: 9–12,
9th - 12th, Adult Education, Higher Education
Algebra, Algebra 2, Calculus
Differential Equations (AP Calculus AB - Unit 7)
Differential Equations Calculus Unit Bundle This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Differential Equations Calculus (Unit 7). This unit contains 3 lessons. Lesson 7.1: Slopes FieldsLesson 7.2: Growth and DecayLesson 7.3: Separation of VariablesThis unit was designed to align with the AP® Calculus AB Course Exam and Description (CED) effective Fall 2020. Th
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 2 Bundle Units 6-8
AP Calculus AB Full Year Curriculum Bundle | 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
10th - 12th, Higher Education
Calculus, Math
Limits and Continuity (AP Calculus AB - Unit 1)
Limits and Continuity Calculus Unit Bundle: This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Limits and Continuity Calculus (Unit 1). This unit contains 5 lessons. Lesson 1.1: Estimating Limits from Graphs and TablesLesson 1.2: Determining Limits Using AlgebraLesson 1.3: Continuity and the Intermediate Value TheoremLesson 1.4: Infinite Limits and Vertical AsymptotesLesso
10th - 12th
Calculus, Math, PreCalculus
Also included in: AP Calculus AB Semester 1 Bundle (Units 1 -5)
Applications of Integration (AP Calculus AB - Unit 8)
Applications of Integration Calculus Unit Bundle: This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), 2 mid-unit quizzes, unit test, unit review, and unit pacing guide for Applications of Integration Calculus (Unit 8). This unit contains 7 lessons. Lesson 8.1: Average ValueLesson 8.2: Connecting Position, Velocity, and Acceleration Using IntegralsLesson 8.3: The Accumulation Function and Definite Integrals in Applied ContextLesson 8.4:
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 2 Bundle Units 6-8
Contextual Applications of Differentiation (AP Calculus AB - Unit 5)
Contextual Applications of Differentiation Calculus Unit Bundle: This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Contextual Applications of Differentiation Calculus (Unit 5). This unit contains 4 lessons. Lesson 5.1: Straight-Line Motion: Connecting Position, Velocity, and AccelerationLesson 5.2: Related RatesLesson 5.3: Approximating Values of a Function Using Lineari
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 1 Bundle (Units 1 -5)
Analytical Applications of Differentiation (AP Calculus AB - Unit 4)
Analytical Applications of Differentiation Calculus Unit Bundle:This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Analytical Applications of Differentiation (Unit 4). This unit contains 6 lessons. Lesson 4.1: Using the Mean Value TheoremLesson 4.2: Extrema on an IntervalLesson 4.3: Increasing and Decreasing Intervals and The First Derivative TestLesson 4.4: Concavity and
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 1 Bundle (Units 1 -5)
Differentiation: Definition & Fundamental Properties (AP Calculus AB - Unit 2)
Differentiation: Definition and Fundamental Properties Calculus Unit Bundle:This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Differentiation: Definition and Fundamental Properties Calculus (Unit 2). This unit contains 5 lessons. Lesson 2.1: Defining Average and Instantaneous Rates of ChangeLesson 2.2: Defining the Derivative of a FunctionLesson 2.3: The Power RuleLesson
10th - 12th
Calculus, Math, PreCalculus
Also included in: AP Calculus AB Semester 1 Bundle (Units 1 -5)
AP Calculus AB Semester 2 Bundle Units 6-8
AP Calculus AB Semester 2 Bundle (Units 6-8) 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 semester 2 of AP® Calculus AB. This bundle contains 3 units. Unit 6: Integration and Accumulation of Change Unit 7: Differential Equations Unit 8: Applications of Integration This unit was designed to align with the AP® Calculus AB Course Exam and Description (CED) eff
10th - 12th
Calculus, Math
AP Calculus AB Semester 1 Bundle (Units 1 -5)
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
10th - 12th
Calculus, Math
Differentiation: Composite, Implicit, Inverse Functions (AP Calculus AB- Unit 3)
Differentiation: Composite, Implicit, and Inverse Functions Calculus Lessons BundleThis is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Differentiation: Composite, Implicit, and Inverse Functions Calculus (Unit 3). This unit contains 5 lessons. Lesson 3.1: The Chain RuleLesson 3.2: Implicit DifferentiationLesson 3.3: Differentiating Inverse FunctionsLesson 3.4: Differentiat
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 1 Bundle (Units 1 -5)
Integration and Accumulation of Change (AP Calculus AB - Unit 6)
Integration and Accumulation of Change Calculus Unit Bundle:This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), 2 mid-unit quizzes, unit test, unit review, and unit pacing guide for Integration and Accumulation of Change Calculus (Unit 6). This unit contains 7 lessons. Lesson 6.1: Finding Antiderivatives and Indefinite IntegralsLesson 6.2: Approximating Areas with Riemann SumsLesson 6.3: Riemann Sums, Summation Notation, and Definite In
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 2 Bundle Units 6-8
Trapezoid Rule - Mastery Lesson, Guided Notes, Homework & Key PPT Word
Turn confusion into clarity with this visual, step-by-step derivation of the trapezoid rule formula. This IB-focused calculus lesson makes connections to geometry and algebra, helping students truly understand—not just memorize. Also great for AP Calculus!This is Day 2 in your trapezoid rule sequence—and it’s where the magic happens. Students go beyond estimation to derive the trapezoid rule formula themselves by connecting geometry with algebraic reasoning. This lesson builds on conceptual fou
10th - 12th
Calculus
Also included in: Trapezoid Rule - Calculus - Complete Teaching Bundle
Multivariable Calculus - Illustrating Vector Addition in GeoGebra
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.
11th - 12th, Higher Education
Calculus, Other (Math), Physics
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
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