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showing 1-24 of 43 results

Match the Graphs of f, f ', and f "
This set of 100 cards (25 sets of 4) can be duplicated on card stock and then cut apart for a great cooperative learning activity in Calculus.Each set of four cards includes:• a graph of a function, • a graph of a derivative of a function, • a graph of the second derivative of a function, and • an a
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PHET Vector Lab (Online Simulator)
I created this lab as an intro into two dimensional motion for my physics classes. The lab uses all the techniques of adding vectors head-to-tail and demonstrates for them that the two vectors being added to make a resultant are the components of that resultant. This lab is great practice and very s
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Integrals: 5 Geometer's Sketchpad (GSP) Files
The preview file is one of the five files--so you can get one of them free! Since Teachers Pay Teachers does not support .gsp files, the preview file is a .gsp file that can be extracted from a (supported) .zip file. (Please rate the preview file if you do use it, thanks!) You will download a .zip
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Average Value of a Function - An Exploration
As part of the AP Calculus course description students need to understand what it means to find the average value of a function. This activity incorporates the graphing calculator to develop an understanding for the average value of a function. Students draw graph for four functions to view all the

Also included in: Bundled Lessons on The Average Value of a Function

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Polynomial Labs (Quadratics, Cubics, etc.) including Catapults!
This lab includes two versions of a catapult lab (calculus based and non-calculus based). Students work in groups to collect data on a ball launched using a catapult. Students create regression equations using a graphing calculator or spreadsheet. Also included is a painted cubes lab that includes
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What is the Slope of a Function at a Point?
This graphing calculator activity engages the students in using two difference quotients and table values to approximate the slope of a function at a point. Students first study y = 2x^2 at the point (1,2). Using the two difference quotients, students find that the slope is 4. The students the
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Exponential Growth - An Exploration on the Graphing Calculator
This class activity engages students in modeling exponential growth and decay using the RandInt command on the TI84 graphing calculator.
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A Function and Its Derivatives - Making Observations
Students set up the graphs of three equations in their TI84 or TI84C graphing calculator and make observations about the relationship between the three graphs. • One equation is the original function entered in y1. • A second equation, entered in y2, is a difference equation that models the derivat
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Definition of a Derivative  - Using the Rule of 4
This activity incorporates the graphing calculator to help students understand the definition of a derivative. Students in AP Calculus and Calculus should be studying the concepts in Calculus graphically, numerically, verbally and analytically ( which is also known as the rule of 4). This activity
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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 th
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Mean Value Theorem - An Investigation
This activity engages the students in studying several continuous, non-continuous, differentiable, and non-differentiable functions to decide what conditions must be met to guaranteed the conclusions of the mean value theorem.
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Calculus Lab 7-1: Volume by Cross Section Cake Lab
There are many ideas for helping students visualize volumes of solids by cross sections, but nothing gets the students’ attention more than food‼ This simple packet includes directions for making the hemisphere cake and a lab sheet for the students. The lab only takes about 20 minutes so there is pl
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UNDERSTANDING THE DEFINITION OF A LIMIT-1
Students often struggle to understand the formal definition of a limit. This activity sheet has the students build both tables and graphs to see what the definition is saying. In the tabular form, the students keep refining the table to be convinced that as long as they stay very close to a value

Also included in: 3 BUNDLED LESSONS ON UNDERSTANDING THE DEFINITION OF A LIMIT

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Pizza and Marginal Profit
In this lab the students will be analyzing whether it is beneficial toraise or lower prices of pizzas at a restaurant. Using profit as our motivation,the student will explore changes in functions, the average change of a functionover the interval, and this will lead them to realize the instantaneous
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Skydiving and Derivatives
A calculus lab using derivatives to find the velocity and acceleration of a skydiver.
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Calculus Lab 7-2: Volume by Revolution Play-Doh Discovery Lab
There are many ideas for helping students visualize volumes of solids by revolution, but seniors love to play with Play-Doh‼ This resource includes how to use Play-Doh to discover the formulas for Volumes of Revolution by Disks and Washers as well as how I incorporate the discovery in my lesson and
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Volumes of Solids with Known Cross Sections - An Exploration
One of the topics that is difficult for students to grasp is finding the volume of a solid with a known cross section. One reason is that students have difficulty with this topic is that they have difficulty drawing the solid. In this activity the students get to build eight different "solids.”This

Also included in: Volume using Known Cross Sections Bundle

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Continuity
This activity engages the students in understanding the three parts of the definition for a function to be continuous at a point by asking a series of questions about several functions.You also might be interested in the Activity Sheet on Continuity and the Intermediate Value Theorem that is availab
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Chain Rule Practice Worksheet
** BE SURE TO CHECK OUT MY OTHER WORKSHEETS! ** - *50* Questions! - *COMPLETE* Solutions! If you want to move on to more complex mathematics, you need to get certain topics out of working memory. This is my goal in all of my worksheets - to help students learn a particular techniques or topi
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Maximizing Volume: Cubic Functions (popcorn lab)
Student will create boxes from graph paper. Their goal is to make a bog with the biggest volume possible. They will then determine an equation representing the volume of a box. They'll use a graphing calculator to determine the maximum volume and height of the box as well as the domain and range.
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Derivative of the Sine Cosine Exponential and Natural Log functions (Editable)
To help my students see the connection between the sine, cosine, exponential, and natural log graph and their derivatives, I have them use the TI calculators to compute the derivatives. For the sine and cosine, they graph the derivatives directly on the graph; for the other functions, they use a ta
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Derivatives: 4 Geometer's Sketchpad (GSP) Files
The preview file is one of the four files--so you can get one of them free! Since Teachers Pay Teachers does not support .gsp files, the preview file is a .gsp file that can be extracted from a (supported) .zip file. (Please rate the preview file if you do use it, thanks!) You will download a .zip
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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
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Slope or Derivative of Inverse Functions
This activity will engage students in discovering the relationship between the slope of two inverse functions. It is designed to be used with the TI84 graphing calculator.There are answers to the investigation and to the 5 problems included in the activity.You might be interested in the Activity Sh
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showing 1-24 of 43 results

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