Percent Increase and Decrease Quiz
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Programs & methods
Calculus - How Can One Graph Help Describe Another Graph?
This activity incorporates the graphing calculator to help students understand how the behavior of one graph can describe the behavior of another function. Three related equations are entered in y1, y2, and y3 in the graphing calculator. • The original function is entered in y1. • An expression that represents the derivative of y1 is entered in y2. • An expression that represents the derivative of y2 is entered in y3. After graphing y1, y2, and y3 in the same window, a series of questi
10th - 12th, Higher Education
Calculus, Math
Calculus-Making Observations about the Function and Its Derivatives from Graphs
This discovery activity is made up of 5 part plus a closing question. Part I: Students graph a function and its derivative. From the two graphs students observe that when the graph of the derivative of y1 is positive the graph of y1 is increasing and that when the graph of the derivative of y1 is negative the graph of decreasing. Part II: In part I students studied a function with a minimum. In this part students will repeat the same observations but with a function that has a maximum. Part II
10th - 12th, Higher Education
Calculus, Math
Pre-Calculus - Maximizing the Volume of a Cone
This hands-on activity engages the students in constructing a cone from a circle,collecting data on the height and radius of the cone, creating a scatterplot, fitting a curve to the data and then estimating the maximum volume of the cone. Many students are surprised that the scatterplot indicates that the volume first slowly increases and then after a maximum volume occurs the volume quickly decreases. By working with a physical model helps students observe how the height, radius, and volume
11th - 12th, Higher Education
Calculus, Math
Calculus - Using Algebraic and Graphical Methods to Solve Optimization Problems
This activity illustrates for calculus students how they can solve optimization problems using algebraic and graphical methods. Two examples illustrate step by step procedures that can be followed to solve most optimization problems. Both analytical and graphical approaches are used to study the rate of change. After illustrating how two examples can be solved, five additional practice problems with solutions are provided for students to practice. Please check out the Activity Sheet on Op
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus - Optimization Bundle
The Masked Derivative - Limit Definition of Derivative Activity
Help your students truly understand where derivatives come from with this engaging and memorable activity! ✏️📘 This resource focuses on one of the trickiest—but most essential—skills in AP Calculus: identifying and taking derivatives in their limit definition form. Students often rely on derivative rules without recognizing that they are simply shortcuts for limits. This activity helps bridge that gap by showing how derivatives can “hide” behind two common limit “masks.” 🎭 How it works:Stude
10th - 12th
Calculus, PreCalculus
Calculus Lab 2-1: Parabolic Action of a Free-Falling Object
There is nothing better for understanding than real world applications. In this lab, the students will use a motion detector to find the parabolic graph in time vs distance of a ball thrown up and caught. They will find the regression equation for the parabola on their calculators, then answer questions dealing with average velocity, instantaneous velocity, acceleration and speed. This file contains helpful teacher hints for using a motion detector, student directions for the lab , and questions
11th - 12th
Calculus
Also included in: Calculus Unit Bundle 2A: Definition of Derivative
New Year’s Optimization Activity – AP Calculus Confetti Box Lab - Unit 5
🎆 Ring in the New Year with a hands-on calculus activity! 🎆 Introduce your students to the concept of optimization in a fun, tactile way using New Year’s confetti boxes. In this activity, students will cut, fold, and compare paper prisms to discover how to maximize volume—making the abstract concept of optimization concrete, festive, and memorable. How it works:Break students into groups and provide each group with: New Year’s Optimization – Introduction SheetNew Year’s Optimization – Lab Sh
10th - 12th
Calculus
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