Basic Function Tables
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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
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
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
AP Pre Calc Free Response Practice Test
Product Title: AP Precalculus Free Response Practice Test - Units 1 & 2 (Editable & with Key)Elevate your AP Precalculus prep with this comprehensive, classroom-ready Free Response Question (FRQ) set! This resource features four meticulously crafted multi-part questions that mirror the specific rigor, "task verbs," and formatting of the official College Board AP Precalculus Exam. Whether used as a unit test, a mock exam, or targeted homework, these problems challenge students to apply their kno
10th - 12th
Calculus, Math Test Prep, 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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