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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
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
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)
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
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
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 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
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus Multiple Choice Monday Editable Bundle
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
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus Multiple Choice Monday Editable Bundle
AP Calculus Limits Review Bingo
DETAILED DESCRIPTIONMake reviewing limits engaging, interactive, and AP-level rigorous with this AP Calculus Limits Bingo Review Activity! This resource combines a teacher-led PowerPoint presentation with a student-centered bingo game to reinforce key limit concepts in a fun and effective way. Students will solve a variety of AP-style limit problems, including algebraic limits, trigonometric limits, limits involving infinity, L’Hôpital’s Rule, and derivatives in disguise, while actively pa
11th - 12th, Higher Education
Applied Math, Calculus, PreCalculus
DERIVATIVES HIDING IN THE LIMIT FORMULA
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
11th - 12th, Higher Education
Calculus, Engineering, PreCalculus
Finding g and Moment of Inertia Using a Physical Pendulum using a meter stick
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
11th - 12th, Higher Education
Calculus, Engineering
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