Calculus Teacher Resources

Calculus is the study of change, and the place where one has finally aquired enough of a math background to finally solve some real problems!
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Calculus: Derivatives 3 Video

Calculus: Derivatives 3

10 mins 11th - Higher Ed
This video covers the differential notation dy/dx and generalizes the rule for finding the derivative of any polynomial. It also extends the notion of the derivatives covered in the Khan Academy videos, "Calculus Derivatives 2Ó and...
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Introduction to Calculus Handouts & Reference

Introduction to Calculus

11th - Higher Ed
CCSS: Adaptable
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
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Essence of Calculus, Chapter 1 Video

Essence of Calculus, Chapter 1

17 mins 11th - Higher Ed
Dive into the essence of calculus. The first installment of an 11-part playlist introduces the video series by looking at the area of a circle and the area under curves. The narrator explains how to look at calculus as taking a hard...
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Math Handbook: Calculus Handouts & Reference

Math Handbook: Calculus

10th - 12th
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
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Calculus Worksheet Worksheet

Calculus Worksheet

12th - Higher Ed
For this calculus worksheet, students solve 10 different problems that include determining the first derivative in each. First, they apply properties of logarithmic functions to expand the right side of each equation. Then, students...
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Calculus: Derivatives 1 (new HD version) Video

Calculus: Derivatives 1 (new HD version)

16 mins 11th - Higher Ed
Sal defines the term derivative by taking the listener on a well-organized tour of slope. First, he reviews the concept of slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining a secant...
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Calculus: Derivatives 2 (new HD version) Video

Calculus: Derivatives 2 (new HD version)

8 mins 11th - Higher Ed
Sal continues where he left off with the last video, �Derivatives 1,� by looking at the equation y = x2 and examining the slope of the secant line at a specific point. He continues with defining the limit as _x approaches zero to get...
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Calculus: Derivatives 2.5 (new HD version) Video

Calculus: Derivatives 2.5 (new HD version)

11 mins 11th - Higher Ed
By defining the formal definition of a derivative, f�(x), Sal is able to find the general form of the derivate function for the example f(x) = x2. He continues to stress the importance of an intuitive understanding of derivative...
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Calculus: Derivative of x^(x^x) Video

Calculus: Derivative of x^(x^x)

9 mins 11th - Higher Ed
Sal starts with an example of finding dy/dx of y = x2 and builds to showing the solution to the more complicated implicit differentiation problem of finding the derivative of y in terms of x of y = x ^ x ^ x .
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Calculus: Derivatives 1 Video

Calculus: Derivatives 1

9 mins 11th - Higher Ed
Sal defines the term derivative by taking the listener on a well-organized tour of slope. First, he reviews the concept of slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining a secant...
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Calculus: Derivatives 2 Video

Calculus: Derivatives 2

10 mins 11th - Higher Ed
Sal continues where he left off with the last video, �Derivatives 1,� by looking at the equation y = x2 and examining the slope of the secant line at a specific point, and again defining the limit as _x approaches zero to get the...
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Calculus: Derivative of x^(x^x) Video

Calculus: Derivative of x^(x^x)

9 mins 11th - Higher Ed
Sal starts with an example of finding dy/dx of y = x2 and builds to showing the solution to the more complicated implicit differentiation problem of finding the derivative of y in terms of x of y = x ^ x ^ x .
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Calculus: Derivatives 1 (new HD version) Video

Calculus: Derivatives 1 (new HD version)

16 mins 11th - Higher Ed
Sal defines the term derivative by taking the listener on a well-organized tour of slope. First, he reviews the concept of slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining a secant...
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Calculus: Derivatives 1 Video

Calculus: Derivatives 1

9 mins 11th - Higher Ed
Sal defines the term derivative by taking the listener on a well-organized tour of slope. First, he reviews the concept of slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining a secant...
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Calculus: Derivatives 2 (new HD version) Video

Calculus: Derivatives 2 (new HD version)

8 mins 11th - Higher Ed
Sal continues where he left off with the last video, "Derivatives 1,Ó by looking at the equation y = x2 and examining the slope of the secant line at a specific point. He continues with defining the limit as x approaches zero to get the...
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Calculus: Derivatives 2.5 (new HD version) Video

Calculus: Derivatives 2.5 (new HD version)

11 mins 11th - Higher Ed
By defining the formal definition of a derivative, f�(x), Sal is able to find the general form of the derivate function for the example f(x) = x2. He continues to stress the importance of an intuitive understanding of derivative functions.
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Calculus: Derivatives 2 Video

Calculus: Derivatives 2

10 mins 11th - Higher Ed
Sal continues where he left off with the last video, "Derivatives 1,Ó by looking at the equation y = x^2 and examining the slope of the secant line at a specific point, and again defining the limit as x approaches zero to get the slope...
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The AP Calculus Problem Book Worksheet

The AP Calculus Problem Book

11th - Higher Ed
CCSS: Adaptable
Are you always looking for extra problem resources to incorporate in your classes?  A set of problems for a full AP Calculus course may be all you need! Each unit has a full set of questions and a sample test.
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Historical Reflections on the Fundamental Theorem Of (Integral) Calculus Presentation

Historical Reflections on the Fundamental Theorem Of (Integral) Calculus

11th - 12th
Highlight the process of mathematical discovery for your classes. This lesson examines the development of the Fundamental Theorem of Calculus over time. Understanding the history of the theorem helps create a better understanding of the...
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Graphing with Calculus Video

Graphing with Calculus

10 mins 11th - Higher Ed
In a problem where you are not given the original function, but rather only three known points on the graph and a few additional pieces of information about when the first and second derivatives are positive or negative, Sal shows how...
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Optimization with Calculus 3 Video

Optimization with Calculus 3

17 mins 11th - Higher Ed
Using what one learned about finding the minimum and maximum of functions, the optimization problem to find two numbers whose product is -16 and whose sum of squares is a minimum is solved. Sal starts by writing the equations and...
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Calculus 4.4 - Modeling and Optimization Presentation

Calculus 4.4 - Modeling and Optimization

11th - 12th
Looking for an interractive presentation for your high schoolers dealing with calculus? Then this PowerPoint is for you! Problems that cover area, volume, and other calculus-related topics are presented. Students are led through the...
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Calculus 10.1 - Parametric Functions Presentation

Calculus 10.1 - Parametric Functions

11th - 12th
Here is a high-level, interractive presentation on calculus for your high schoolers. Parametric equations, derivatives, functions, and the Pythagorean Theorem are all part of this fine PowerPoint. Additionally, two interesting...
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The Fundamental Theorems of Calculus Lesson Plan

The Fundamental Theorems of Calculus

11th - Higher Ed
Are your calculus pupils aware that they are standing on the shoulders of giants? This lesson provides a big picture view of the connection between differential and integral calculus and throws in a bit of history, as well. Note: The...
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Calculus - Early Transcendentals Handouts & Reference

Calculus - Early Transcendentals

9th - Higher Ed
CCSS: Adaptable
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
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Extreme Derivative Word Problem (advanced) Video

Extreme Derivative Word Problem (advanced)

4 mins 11th - Higher Ed
Sal shows the complex solution to a challenging derivative problem about �normalines�. This is probably beyond the scope of most first year calculus students but might be an interesting problem to show how complex these problems can...
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The Second Fundamental Theorem of Calculus Video

The Second Fundamental Theorem of Calculus

2 mins 11th - Higher Ed
How many fundamental theorems are there? The Second Fundamental Theorem of Calculus is also known as the second part of the Fundamental Theorem of Calculus. Here's a video that introduces the theorem as the method to evaluate a definite...
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Study Guide for the Advanced Placement Calculus AB Examination Handouts & Reference

Study Guide for the Advanced Placement Calculus AB Examination

11th - 12th
CCSS: Adaptable
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
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Calculus Handouts & Reference

Calculus

11th - Higher Ed
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. 
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The Great Calculus Caper Activities & Project

The Great Calculus Caper

11th - 12th
CCSS: Adaptable
Motivate your classes with a unique approach to presenting problems. With this "caper," pupils must solve AP Calculus problems to eliminate suspects and determine the perpetrator. Topics range from velocity to trapezoid rule to volume of...
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Pre-Calculus Review Sheet Handouts & Reference

Pre-Calculus Review Sheet

10th - 12th
CCSS: Adaptable
Pre-Calculus has some detailed formulas involved and here is a great resource that lumps then all together for you. Broken up into rectangular, polar, and parametric sections, the conics all include formulas and graphs. 
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AP Calculus Exam Prep Lesson Plan

AP Calculus Exam Prep

11th - 12th
CCSS: Designed
Pupils practice sample questions from the AP Calculus Exam. They solve calculus problems involving bounded regions, integration, derivatives, and limits. They then answer free response and multiple choice questions on the above mentioned...
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The Second Fundamental Theorem of Calculus Lesson Plan

The Second Fundamental Theorem of Calculus

10th - 12th
CCSS: Designed
Learners investigate the fundamental theorem of calculus. In this calculus lesson, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
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The First Fundamental Theorem of Calculus Lesson Plan

The First Fundamental Theorem of Calculus

9th - 12th
CCSS: Designed
Solve problems using the fundamental theorem. In this calculus lesson, high schoolers solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
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Calculus Test Worksheet

Calculus Test

9th - 11th
In this calculus worksheet, students take the derivative of functions, solve logarithmic equations and derive log formulas. There are 25 questions on this test.
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A.P. Calculus - First Semester Examination Worksheet

A.P. Calculus - First Semester Examination

11th - 12th
For this calculus exam worksheet, students solve 40 multiple choice and short answer problems.  Students find derivatives, second derivatives, normal lines, slopes, etc.
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Pre-Calculus Sudoku Puzzle Worksheet

Pre-Calculus Sudoku Puzzle

11th
In this pre-calculus worksheet, student solve 35 multiple choice problems and then place the answers in a Sudoku puzzle form. This worksheet would be a great warm up or fun test review.
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AP Calculus Practice Exam: BC Version - Part A Worksheet

AP Calculus Practice Exam: BC Version - Part A

11th - 12th
In this calculus worksheet, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
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AP Calculus Practice Exam Worksheet

AP Calculus Practice Exam

11th - 12th
In this calculus worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
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AP Calculus Practice Exam BC Version: Part B Worksheet

AP Calculus Practice Exam BC Version: Part B

11th - 12th
In this calculus instructional activity, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.
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Use of CAS in Teaching Differential Calculus Lesson Plan

Use of CAS in Teaching Differential Calculus

11th - Higher Ed
Students explore the concept of differential calculus.  In this differential calculus lesson plan, students use the derivative definition as h approaches zero to find the derivative of quadratic and 4th degree functions.  Students use...
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Calculus 3.6 - The Chain Rule Presentation

Calculus 3.6 - The Chain Rule

11th - 12th
Greg Kelly puts together another great slide presentation to demonstrate ways to combine derivative rules to evaluate more complicated functions. This pattern is called the chain rule.  He shows step by step ways to solve these...
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A.P. Calculus Integration Test Worksheet

A.P. Calculus Integration Test

12th - Higher Ed
In this A.P. Calculus worksheet, students complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields.  Some of the problems are multiple choice, while others are...
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Calculus Inverse Derivative Lesson Plan

Calculus Inverse Derivative

9th - 12th
CCSS: Designed
Students solve equations using a given derivative. In this calculus instructional activity, students identify the rise of fall of each function. They use the calculator to find the derivative.
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Limits | Essence of Calculus, Chapter 7 Video

Limits | Essence of Calculus, Chapter 7

18 mins 11th - Higher Ed
There's no limit on the importance of the limit in calculus. Scholars learn the formal definition of derivative and the epsilon-delta definition of limit by watching a video. They also listen to an explanation of l'Hospital's Rule.
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Slope Fields and Euler's Method for AP Calculus Lesson Plan

Slope Fields and Euler's Method for AP Calculus

12th
Twelfth graders investigate slope fields and Euler’s Method.  In this calculus lesson, 12th graders explore the steps for programming slope fields on the TI-83 and Euler’s method for achieving a numerical solution to differential...
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AP Calculus Practice Exam AB Version-Section1-Part 1 Worksheet

AP Calculus Practice Exam AB Version-Section1-Part 1

11th - Higher Ed
In this calculus practice exam, students select the best answer to 28 multiple choice questions. Questions cover information from the entire year of calculus. A suggested time limit of 55 minutes is included.
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Variational Calculus 3 Worksheet

Variational Calculus 3

12th - Higher Ed
In this methods of applied mathematics worksheet, students solve 5 various types of problems that relate to variational calculus equations. First, they determine a second order differential equation for the geodesic. Then, students write...
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Variational Calculus 2 Worksheet

Variational Calculus 2

12th - Higher Ed
In this methods of applied mathematics worksheet, students solve 6 different types of problems related to variational calculus. First, they determine the first integrals of the Euler-Lagrange equations corresponding to the optimizations...
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Calculus Test Worksheet

Calculus Test

11th - Higher Ed
In this calculus worksheet, students integrate various functions, find the sum of a series, and solve differential equations. There are 16 questions including multiple choice and free response.
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Sixteen Multiple Choice AP Calculus BC Exam Preparation Questions Worksheet

Sixteen Multiple Choice AP Calculus BC Exam Preparation Questions

11th - Higher Ed
In this review for Calculus BC exam worksheet, students solve sixteen various multiple choice problems.  These problems are designed as review and preparation for the AP Calculus Exam.
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Newton Leibniz and Usain Bolt Video

Newton Leibniz and Usain Bolt

9 mins 10th - 12th
What do Usain Bolt and calculus have in common? Using Usain Bolt as an example of distance traveled over a period of time, Sal shows why you need differential calculus to answer the question of how fast something is traveling at a...
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Integration and the Fundamental Theorem of Calculus | Essence of Calculus, Chapter 8 Video

Integration and the Fundamental Theorem of Calculus | Essence of Calculus, Chapter 8

21 mins 11th - Higher Ed
Integrate a great resource into your lesson plans. The eighth video in an 11-part series explains integration and the relationship between derivatives and integrals. The relationship between a car's velocity and its travel distance helps...
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What Does Area Have to Do with Slope? | Essence of Calculus, Chapter 9 Video

What Does Area Have to Do with Slope? | Essence of Calculus, Chapter 9

13 mins 11th - Higher Ed
It seems like area and slope wouldn't have any connection. Here is a video that explains how to find the average value of a function over an interval. It connects the area under a curve to the slope of the antiderivative curve.
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Introduction to Calculus Lesson Plan

Introduction to Calculus

10th - Higher Ed
CCSS: Adaptable
Don't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based lesson helps them keep it in check! The second lesson in a three-part series asks learners to analyze the rate of change of different...
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Nine Definite Integrals and Fundamental Theorem Of Calculus Problems Worksheet

Nine Definite Integrals and Fundamental Theorem Of Calculus Problems

11th - Higher Ed
In this definite integral worksheet, student find the value of five definite integrals.  Student then explain why a definite integral inequality holds true.  Finally, students are given the graph of a functions and asked to determine...
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Variational Calculus 1 Worksheet

Variational Calculus 1

12th - Higher Ed
In this methods of applied mathematics instructional activity, students solve 4 different problems that relate to variational calculus. First, they determine a second order differential equation for the function y(x) for which the...
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Squeeze Theorem Video

Squeeze Theorem

8 mins 11th - Higher Ed
Sal uses an intuitive example to explain how the squeeze theorem got its name and applies it in the next video to prove the limit as x approaches 0 of (sin x)/x = 1.
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Proof: d/dx(x^n) Video

Proof: d/dx(x^n)

7 mins 11th - Higher Ed
Using the binomial theorem and definition of a limit, Sal shows a proof that the derivative of xn equals nxn-1.
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Introduction to L'Hopital's Rule Video

Introduction to L'Hopital's Rule

9 mins 11th - Higher Ed
After defining L'Hopital's rule, Sal shows an example of using the rule to solve for the limit as x approaches 0 of (sin x) / x. He also describes what it means for a fraction to have indeterminate form.
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Introduction to Limits (HD) Video

Introduction to Limits (HD)

12 mins 11th - Higher Ed
Sal begins his explanation of limits with a few basic examples and takes a more intuitive point of view before looking at a formal mathematical definition in later videos. He starts by introducing the notation for limits and describes...
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Epsilon Delta Limit Definition 2 Video

Epsilon Delta Limit Definition 2

11 mins 11th - Higher Ed
By using the Epsilon Delta definition of limits, Sal shows listeners how to prove an example limit problem. Specifically, given any epsilon distance away from L, the limit of f(x), he finds a delta that is within delta of the x value...
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Mean Value Theorem Video

Mean Value Theorem

4 mins 11th - Higher Ed
Sal spends most this video explaining what the Mean Value Theorem says in a very intuitive way. He follows this with a concrete example of finding the value of a function on a closed interval where the slope is the same as the average...
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Calculus 30 - Typical Exam Questions Worksheet

Calculus 30 - Typical Exam Questions

11th - 12th
In this limits and functions learning exercise, students solve 30 short answer questions about calculus  Students find limits, domain, range, tangent lines, derivatives, and composition functions.
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Fundamental Theorems of Mathematics Handouts & Reference
1 In 1 Collection

Fundamental Theorems of Mathematics

9th - Higher Ed
There are four fundamental theorems of mathematics: arithmetic, algebra, calculus, and linear algebra listed here. Each one is described on this poster or handout. The challenge for a student of math is to figure out why they are true. 
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Calculus, What Is It Good For? Video

Calculus, What Is It Good For?

8 mins 11th - Higher Ed
Explore the meaning of differentiation and integration. A video lesson describes in detail what differentiating and integrating an equation means using the momentum and kinetic energy formulas. Progressing from a linear to a quadratic...
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Calculus 10.2 day 2 - Vector Valued Functions Presentation

Calculus 10.2 day 2 - Vector Valued Functions

11th - 12th
Looking for a lesson on vectors?  Here is a PowerPoint that has six examples for finding velocity, acceleration, speed and direction of motion. One of the examples demonstrates the use of the TI-89 Graphing Calculator to solve a problem.
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Questions over Chapter 12: Calculus and Analytic Geometry Worksheet

Questions over Chapter 12: Calculus and Analytic Geometry

Higher Ed
In this calculus question worksheet, students read calculus questions by their peers. The students attempt to teach each other by answering the written questions. Questions cover limits, test for convergence, approximation, interval of...
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Engineering in a Calculus Classroom Lesson Plan

Engineering in a Calculus Classroom

11th - 12th
Students solve several differential equations. For this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
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Calculus Assignment #1: Integrals Worksheet

Calculus Assignment #1: Integrals

10th - 12th
For this calculus worksheet, students evaluate given integrals. Problems contain exponents, square roots, and complex fractions. This two-page worksheet contains 16 multi-step problems. Answers are provided on page two.
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Reductions of Order Worksheet

Reductions of Order

11th - 12th
In this calculus worksheet, students identify functions as linear or nonlinear, homogeneous versus nonhomogeneous by using the reduction power theorem. There are 5 questions.
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Calculus Worksheet: Limits of Functions (1) Worksheet

Calculus Worksheet: Limits of Functions (1)

11th - 12th
In this calculus worksheet, students determine the limit of the given functions.  The two page worksheet contains four problems.  Answers are provided. 
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Differentiation Computations Worksheet

Differentiation Computations

11th
In this calculus worksheet, 11th graders solve problems using differential equations and computations. They apply properties of trig functions and simplify their answers. There are 9 questions.
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Proof: d/dx(sqrt(x)) Video

Proof: d/dx(sqrt(x))

5 mins 11th - Higher Ed
Using the definition of a limit, Sal proves the derivative of �x or x1/2 is equal to _ x-1/2.
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L'Hopital's Rule Example 1 Video

L'Hopital's Rule Example 1

8 mins 11th - Higher Ed
After applying L'Hopital's Rule once and showing that the limit is still indeterminate, Sal applies the rule a second and third time before arriving at a limit that exists. He then shows that given that the final limit exists, so do the...
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L'Hopital's Rule Example 2 Video

L'Hopital's Rule Example 2

5 mins 11th - Higher Ed
Sal shows two different ways of finding the limit of a rational expression where the limit of the polynomial is of an indeterminate form involving infinity. First, he shows how to solve this using L�Hopital�s Rule and then by using the...
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L'Hopital's Rule Example 3 Video

L'Hopital's Rule Example 3

8 mins 11th - Higher Ed
In this video, Sal starts with an example where the limit is not indeterminate but rather undefined and therefore cannot be solved using L'Hoptial's rule. He shows how you can rewrite the problem algebraically so that the rule can be...
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Introduction to Limits Video

Introduction to Limits

4 mins 11th - Higher Ed
Sal starts an explanation of limits by looking at a basic example of a discontinuous function and takes a more intuitive point of view before looking at a formal mathematical definition in later videos.  He starts by introducing the...
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Proofs of Derivatives of Ln(x) and e6x Video

Proofs of Derivatives of Ln(x) and e6x

4 mins 11th - Higher Ed
In this video, Sal takes on the challenge of proving both the derivative of ln x = 1/x and of ex = ex, showing that no circular logic is used in the proof.  It contains a clearer version of both proofs shown in the videos titled, _Proof...
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Proof: d/dx(e^x) = e6x Video

Proof: d/dx(e^x) = e6x

5 mins 11th - Higher Ed
Using the derivative of ln x, the chain rule, and the definition of a limit, Sal shows a proof that derivative of ex = ex. Note: The video titled "Proof of Derivatives of Ln(x) and e^x,Ó has a clearer explanation of this proof.
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Proof: d/dx(ln x)=1/x Video

Proof: d/dx(ln x)=1/x

10 mins 11th - Higher Ed
Using the definition of a limit, various properties of logarithms, and a definition of e, Sal shows the proof of derivative of ln x = 1/x. Note: The video titled "Proof of Derivatives of Ln(x) and e^x,Ó has a clearer explanation of this...
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Proof: d/dx(sqrt(x)) Video

Proof: d/dx(sqrt(x))

5 mins 11th - Higher Ed
Using the definition of a limit, Sal proves the derivative of �x or x1/2 is equal to _ x-1/2.
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Proof: d/dx(x^n) Video

Proof: d/dx(x^n)

7 mins 11th - Higher Ed
Using the binomial theorem and definition of a limit, Sal shows a proof that the derivative of xn equals nxn-1.
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The Area Function Lesson Plan

The Area Function

11th - 12th
Students explore the concept of area under a curve.  In this area under a curve lesson, students find integrals of various functions.  Students use their Ti-Nspire to graph functions and find the area under the curve using the...
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Calculus Practice Test: Velocity, Functions Worksheet

Calculus Practice Test: Velocity, Functions

10th - 11th
For this calculus worksheet, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. This...
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Biological Models with Differential Equations Lesson Plan

Biological Models with Differential Equations

12th
Explore differential equations by using models representing growth and decline. Using calculus, learners will investigate exponential and logistic growth in the context of several models representing the growth or decline of a...
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Calculus Exam Worksheet

Calculus Exam

11th
In In this calculus worksheet, student solve 6 multi-step problems involving volume, intervals, acceleration, and graphing. A graphing calculator will be necessary to complete the worksheet.
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Calculus Review Worksheet

Calculus Review

11th - 12th
For this calculus worksheet, students practice solving problems that utilize functions. They determine the critical points, and determine where the open intervals are increasing or decreasing.
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AP Calculus Practice Exam Worksheet

AP Calculus Practice Exam

11th - 12th
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
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Calculus Assignment #5: Integrals Worksheet

Calculus Assignment #5: Integrals

11th - 12th
In this calculus assignment worksheet, students evaluate given integrals. Problems contain square roots, complex fractions, and exponents. This two-page worksheet contains 14 problems. Answers are provided on page two of the worksheet.
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Calculus Games Worksheet

Calculus Games

11th - 12th
In this calculus worksheet, learners rewrite a word problem using algebraic symbols and calculate the derivative of a function to find the correct solution. There are 20 matching questions with an answer key.
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AP Calculus Practice Exam 2008 Worksheet

AP Calculus Practice Exam 2008

11th - 12th
For this calculus practice exam worksheet, students solve 16 multiple choice problems. Students find derivatives, points of continuity, area, rates, etc.
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Separation of Variables and Initial Value Problem Video

Separation of Variables and Initial Value Problem

5 mins 11th - Higher Ed
Ap Calculus classes learn how to solve a differential equation by getting like variables together with a video that presents an example of how to solve a differential equation by using the method of separation of variables. The example...
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Calculus 2.1 day 2 - Step Functions Presentation

Calculus 2.1 day 2 - Step Functions

11th - 12th
"Step functions" are sometimes used to describe real-life situations. This extensive lesson with many practice examples demonstrates two such functions: the Greatest Integer Function and the Least Integer Function. The commands on the...
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Newton and Leibniz: Crash Course History of Science #17 Video

Newton and Leibniz: Crash Course History of Science #17

14 mins 9th - 12th
CCSS: Adaptable
The scientific revolution went out with a bang, thanks to some impressive intellectuals! Newton's and Leibniz's noteworthy discoveries unfold in the 17th installment in a lengthy History of Science series. Viewers witness the birth of...
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Accumulation Functions Lesson Plan

Accumulation Functions

12th
Twelfth graders explore functions defined by a definite integral.  In this Calculus lesson, 12th graders investigate accumulation functions in which a variable is a limit of integration.  The lesson is meant to be an introduction to the...
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Calculus Activity based on "The Simpsons" Worksheet

Calculus Activity based on "The Simpsons"

12th - Higher Ed
For this calculus worksheet, students are provided with a translation of a scene from the Simpsons in which the teacher solves a calculus problem.  Students explain if her solution is correct. The one page worksheet contains two...
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Challenge Sheet 2: Evaluate Functions Worksheet

Challenge Sheet 2: Evaluate Functions

Higher Ed
In this function worksheet, students evaluate integrals using the fundamental theorem of calculus. They identify the maxima and minima on intervals. This one-page worksheet contains seven problems.
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Are You Ready for Calculus? Worksheet

Are You Ready for Calculus?

10th - 12th
In this calculus learning exercise, learners solve a variety of problems. They use trigonometric identities to solve problems, find the ratio of areas inscribed in polygons, solve functions, determine the graphs of functions, solve...
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A.P. Calculus - First Semester Esxamination Worksheet

A.P. Calculus - First Semester Esxamination

11th - 12th
In this calculus exam worksheet, students solve 40 multiple choice and short answer questions.  Students find normal lines, derivatives of functions, evaluate functions at points, etc.
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A.P. Calculus Test Covering Limits, Derivatives, and Integrals Worksheet

A.P. Calculus Test Covering Limits, Derivatives, and Integrals

12th - Higher Ed
In this calculus worksheet, students solve ten multiple-choice questions and eleven free-response questions covering limits, derivatives, and integrals.  Students should have covered trig limits prior to this worksheet.
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AP Calculus Practice Exam Worksheet

AP Calculus Practice Exam

11th - 12th
In this Calculus learning exercise, students are provided with practice problems for their exam.  Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of...
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AP Calculus Practice Exam Worksheet

AP Calculus Practice Exam

11th - 12th
In this Calculus worksheet, students are provided with problems of a similar nature to those on their exam.  Problems include limits, derivatives, and integrals.  The four page worksheet contains twenty-eight problems.  Answers are not...
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AP Calculus Practice Exam Worksheet

AP Calculus Practice Exam

12th
In this Calculus worksheet, 12th graders are provided with practice problems for their exam.  Topics covered include limits, derivatives, area bounded by a curve, minimization of cost, and the volume of a solid of revolution.  The four...
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Integration by Substitution Lesson Plan

Integration by Substitution

11th - Higher Ed
Looking for help in introducing integration by substitution to your calculus students?  Here is a lesson that walks a learner through a review of the change rule, and then by starting with more recognizable derivatives, it helps them...
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Exponential Decay Formula (can skip, involves Calculus) Video

Exponential Decay Formula (can skip, involves Calculus)

12 mins 7th - 10th
Sal continues his discussion of decay by showing students the math involved in determining how much a substance is left after one half-life, two half-lives, and even three half-lives have gone by. He sets up a general function of time...
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Exploring Functions with Calculus and Dynamic Software Lesson Planet Article

Exploring Functions with Calculus and Dynamic Software

11th - Higher Ed
Calculus can be project-based and inquiry-centered by using dynamic software.
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Calculus and the TI-89 Lesson Plan

Calculus and the TI-89

11th - Higher Ed
Students investigate calculus using the TI Calculator. For this calculus lesson, students deepen their understanding of calculus. This lesson includes step by step instruction for the TI.  
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Optimization Example 4 Video

Optimization Example 4

10 mins 11th - Higher Ed
Sal does another optimization example, this time, minimizing the total cost of an open rectangular box. In this problem, the volume can be defined in terms of a single variable and given a cost model, he builds a cost equation. He finds...
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Maxima Minima Slope Intuition Video

Maxima Minima Slope Intuition

10 mins 11th - Higher Ed
Before solving any problems, Sal gives an overview of what happens to the slope, first derivative, and second derivative at local maxima and minima to give the viewer a more intuitive feel for these types of problems.
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An Investigation in Calculus Using the TI-92 Lesson Plan

An Investigation in Calculus Using the TI-92

11th - 12th
Students listen to a lecture about defining a function and testing the area on the TI-92 graphing calculator. In this calculus lesson plan, students utilize concepts drawn from their lecture notes, along with screen shots from the TI-92...
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Using Slope Fields Lesson Plan

Using Slope Fields

12th
Twelfth graders investigate slope fields.  In this Calculus lesson plan, 12th graders identify whether a slope field appropriately reflects a differential equation by matching.  TI-83 Plus/TI-84 Plus and appropriate programs are required...
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Approxiamte Solutions to Differential Equations-Slope Fields (graphical) and Euler's Method (numeric) Lesson Plan

Approxiamte Solutions to Differential Equations-Slope Fields (graphical) and Euler's Method (numeric)

12th
Twelfth graders explore differential equations.  In this calculus lesson, 12th graders explore Euler’s Methods of solving differential equations.  Students use the symbolic capacity of the TI-89 to compare Euler’s Method of numeric...
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Properties of the Definite Integral Video

Properties of the Definite Integral

8 mins 11th - Higher Ed
What are the properties that can be associated with the definite integral? The AP Calculus video lists nine properties of the definite integral and provides explanations of why the properties hold for integrals in language that is simple...
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Implicit Differentiation Worksheet

Implicit Differentiation

9th - 11th
In this calculus worksheet, students solve equations using implicit differentiation with respect to x. They find the slope givena  specific point. There are 14 questions.
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Applications of First and Second Derivatives. Worksheet

Applications of First and Second Derivatives.

12th - Higher Ed
In this calculus worksheet, students solve for the critical values, open intervals and find the maximum and minimum. There are 7 questions dealing with the derivative.
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Basic Calculus II: Fundamental Theorem of Calculus Worksheet

Basic Calculus II: Fundamental Theorem of Calculus

Higher Ed
In this fundamental theorem worksheet, students find the antiderivative of a function. This two page worksheet contains five multi-step problems.
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Average Rate of Change of a Function Video

Average Rate of Change of a Function

6 mins 11th - Higher Ed
CCSS: Adaptable
Just how fast is the function changing? The presenter provides a general explanation of the average rate of change in the 28th presentation in a series of 31 calculus videos. The video moves on to find the average rate of change for a...
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Derivatives of Hyperbolic Functions Video

Derivatives of Hyperbolic Functions

4 mins 11th - Higher Ed
Trig provides assistance in finding the derivatives of hyperbolic functions. The presentation provides an example of finding the derivative involving hyperbolic functions. Using the chain rule, the video finds the derivative of a...
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Equation of the Normal Line at a Point Video

Equation of the Normal Line at a Point

5 mins 11th - Higher Ed
Is it normal to find a perpendicular line to the tangent line? The short video provides a problem to find the equation of the normal line to a function. Beginning with an explanation of the normal line, the 27th installment in a 31-part...
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Chapter 3, Worksheet 3Z: Pre-Calculus Worksheet

Chapter 3, Worksheet 3Z: Pre-Calculus

9th - Higher Ed
In this pre-calculus worksheet, students graph 18 equations on a calculator. Then they create a sketch of each the graph as it appears on the calculator.
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Part 3 of the Fundamental Theorem of Calculus Worksheet

Part 3 of the Fundamental Theorem of Calculus

Higher Ed
In this Fundamental Theorem of Calculus worksheet, students find the solution of given functions. This one-page worksheet contains five problems.
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Understanding the Fundamental Theorem of Calculus Worksheet

Understanding the Fundamental Theorem of Calculus

Higher Ed
In this Fundamental Theorem of Calculus worksheet, students demonstrate their understanding of the theorem by identifying the derivative and anti-derivative of given functions. This two-page worksheet contains ten problems.
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College Calculus: L' Hopital's Rule Worksheet

College Calculus: L' Hopital's Rule

12th - Higher Ed
In this calculus worksheet, learners use L' Hopitals rule to determine the limit of each given function. This two-page worksheet contains ten problems. Answer sheets, to the odd problems, are provided on page two.
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Calculus Review Worksheet Worksheet

Calculus Review Worksheet

10th - 12th
In order to review calculus skills, mathematicians read story problems regarding area, change of rate, volume, and distance. They determine rates per minute, per second, and miles per hour from given information. This two-page...
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A.P. Calculus Exam Prep Worksheet

A.P. Calculus Exam Prep

11th - Higher Ed
In this A.P. Calculus exam practice test, students answer 28 multiple choice questions. Questions cover a wide variety of topics. Students tell the position of a particle moving along a horizontal line. They identify the solution to a...
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Three Calculus Overview Problems Worksheet

Three Calculus Overview Problems

11th - Higher Ed
In this calculus overview worksheet, students: find the equation of a tangent line, curve sketch, and find limits.  Students should have covered continuity as well.
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Four Calculus Derivative, Extrema, and Maximize Area Problems Worksheet

Four Calculus Derivative, Extrema, and Maximize Area Problems

11th - Higher Ed
In this calculus review worksheet, students find derivatives, calculate extrema on an interval, and maximize area. Students should be familiar with the derivatives of trigonometric functions.
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Calculus Worksheet Interactive

Calculus Worksheet

11th - 12th
In this calculus worksheet, students find the derivative of a given function, evaluate limits, and integrals, and find the area of a region.  The one page interactive worksheet contains eight multiple choice questions and is self checking. 
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Twenty-Eight Multiple Choice AP Calculus BC Exam Preparation Questions Worksheet

Twenty-Eight Multiple Choice AP Calculus BC Exam Preparation Questions

11th - Higher Ed
In this AP Calculus review activity, students solve twenty-eight multiple choice questions in preparation for the AP Calculus BC exam.
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Multivariable Calculus Quiz 9 Worksheet

Multivariable Calculus Quiz 9

11th - Higher Ed
In this math learning exercise, students practice the calculus problems that involve integrals. Then they use the rules to complete the quiz by showing all the work for the two problems.
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The Fundamental Theorem of Calculus and Properties of the Definite Integral Lesson Plan

The Fundamental Theorem of Calculus and Properties of the Definite Integral

11th - Higher Ed
Students discuss the importance of fundamental theorems in math. In this calculus lesson, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this...
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Calculus Cryptogram Worksheet

Calculus Cryptogram

11th - Higher Ed
For this calculus worksheet, students solve an intriguing cryptogram comprised of the addition of calculus vocabulary words. There is 1 cryptogram and solution.
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Introduction to Calculus Lesson Plan

Introduction to Calculus

12th
Twelfth graders discuss attitude necessary to be successful in calculus. For this calculus lesson, 12th graders review famous quotes about success to help them get motivated to learn and be successful in the classroom. This assignment...
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The Fundamental Theorem of Calculus and Area Under the Curve Lesson Plan

The Fundamental Theorem of Calculus and Area Under the Curve

12th
Twelfth graders review the fundamental theorem of calculus and solve for the area under the curve. In this calculus lesson, 12th graders differentiate between the area under the curve and the definite integral as it related to the...
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AP Calculus Practice Exam Worksheet

AP Calculus Practice Exam

12th - Higher Ed
In this calculus activity, students calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.
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Calculus Cryptogram Worksheet

Calculus Cryptogram

11th - Higher Ed
In this calculus worksheet, students solve an intriguing cryptogram addition puzzle comprised of calculus vocabulary words. There is 1 cryptogram and solution.
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Calculus Practice Exam Worksheet

Calculus Practice Exam

11th - 12th
In this calculus activity, students practice solving problems that will be on their calculus exam. They evaluate, take the derivative and find the slope of a tangent line. There are 28 questions.
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AP Calculus Worksheet

AP Calculus

11th - 12th
In this calculus worksheet, students solve problems with trigonometric functions. They take the derivative and find the average rate of change.
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AP Calculus Worksheet

AP Calculus

12th - Higher Ed
In this calculus worksheet, students answer questions about integrals, trig functions and natural logs. There are 20 questions mixed with multiple choices and free responses.
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Calculus Practice BC Worksheet

Calculus Practice BC

12th - Higher Ed
In this calculus activity, students solve functions using the derivatives. They calculate the volume where the graph is revolving around the x-axis, a line, the y-axis and where x=e. There are 28 questions.
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Fundamental Theorem of Calculus Worksheet

Fundamental Theorem of Calculus

11th - 12th
In this calculus worksheet, learners observe the graph the function and identify the interval as increasing or decreasing. They identify the critical points and perform integration. There are 4 questions.
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Introduction to Rate-of-Change Problems Video

Introduction to Rate-of-Change Problems

10 mins 11th - Higher Ed
Sal solves an example for finding the rate of change of the height of water in a cone at a specific point when it is being filled at a given rate. In this video, Sal reviews the volume of a cone and the chain rule and then, uses these to...
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Calculus and The Simpsons Worksheet

Calculus and The Simpsons

12th - Higher Ed
In this calculus activity, students examine a situation form The Simpsons in whcih Bart falls from a tree house.  Students write and solve an differential equation that gives the height of the tree house. The one page activity...
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Seeing is Believing: Derivatives Lesson Plan

Seeing is Believing: Derivatives

9th - Higher Ed
CCSS: Designed
Learn to solve functions by taking the derivatives. In this calculus lesson, students compare the graph of a derivative to that of the original function.
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Parametric Races & Slopes Lesson Plan

Parametric Races & Slopes

9th - 12th
CCSS: Designed
Learners investigate the slopes and parametric equations. In this calculus lesson, students solve parametric equations with specific parameters. They relate lines and slopes based on the derivative of the equation.
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The Spread of Disease with Differential Equations Lesson Plan

The Spread of Disease with Differential Equations

12th
Twelfth graders solve problems using differential equations.  In this Calculus lesson, 12th graders analyze data regarding the spread of a flu virus.  Students use the symbolic capacity of the TI-89 to develop a model and analyze the...
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Listen and Line Up Lesson Plan

Listen and Line Up

9th - 12th
CCSS: Designed
High schoolers practice the derivative using an interactive activity. In this calculus lesson they explore the derivative by playing a game. Each student gets a turn at being the caller.
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Soduko Puzzle Worksheet

Soduko Puzzle

11th - 12th
For this calculus worksheet, student solve problems by taking the derivative of the function as x approaches a specific limit. They evaluate trig functions using the properties of trig. There are 26 questions with an answer key.
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Derivatives and Functions Worksheet

Derivatives and Functions

11th - 12th
In this calculus worksheet, students factor differential expressions and evaluate functions. They define whether two functions are equal. there are 7 questions.
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Polar Graphs Lesson Plan

Polar Graphs

9th - 12th
CCSS: Designed
Students graph polar graphs. In this calculus lesson, students convert between polar and rectangular coordinates. They graph their solution on the TI calculator and make observations.
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Multivariable Calculus/ Bonus Quiz 4, Partial Derivatives Worksheet

Multivariable Calculus/ Bonus Quiz 4, Partial Derivatives

11th - Higher Ed
In this math worksheet, students practice solving the problems that focus upon the concept of partial derivatives. The problems are in the form of a quiz.
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Multivariable Calculus Bonus Quiz 3, Determinants Worksheet

Multivariable Calculus Bonus Quiz 3, Determinants

11th - Higher Ed
in this math worksheet, students practice finding the determinant for each matrix. Then they use the solutions to develop a hypothesis for the determinants.
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Return Intervals & Reasoning from Tabular Data Lesson Plan

Return Intervals & Reasoning from Tabular Data

11th - 12th
Students calculate derivatives from a set of data. In this calculus lesson, students estimate the limit at infinity. They complete a Return Interval handout at the end of the lesson.
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The Paradox of the Derivative | Essence of Calculus, Chapter 2 Video

The Paradox of the Derivative | Essence of Calculus, Chapter 2

19 mins 11th - Higher Ed
It turns out that "instantaneous rate of change" isn't an accurate representation of the derivative. Viewers of the second video in a series of 11 learn about the concept of the derivative, from the limit of a difference quotient to the...
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Visualizing the Chain Rule and Product Rule | Essence of Calculus, Chapter 4 Video

Visualizing the Chain Rule and Product Rule | Essence of Calculus, Chapter 4

17 mins 11th - Higher Ed
Take a look at the product rule and chain rule through the eyes of geometry. The fourth video in an 11-part series continues to explore derivative rules using geometry. An area model and a set of number lines help viewers understand the...
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Implicit Differentiation, What's Going on Here? | Essence of Calculus, Chapter 6 Video

Implicit Differentiation, What's Going on Here? | Essence of Calculus, Chapter 6

16 mins 11th - Higher Ed
Teach implicit differentiation explicitly. An engaging video explains implicit differentiation to viewers. It describes how small changes in x and y can be thought of as contributing to the derivative dy/dx. This is the sixth video in a...
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Derivatives of Exponentials | Essence of Calculus, Chapter 5 Video

Derivatives of Exponentials | Essence of Calculus, Chapter 5

14 mins 11th - Higher Ed
See why exponential functions are special. Viewers learn how the derivatives of exponential functions are proportional to their original functions. They see that e^x is a special case where the constant of proportionality is one. 
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Higher Order Derivatives | Footnote, Essence of Calculus Video

Higher Order Derivatives | Footnote, Essence of Calculus

6 mins 11th - Higher Ed
Take the derivative. Then repeat. Scholars learn about higher order derivatives in the 10th video of an 11-part series. They see how the second derivative connects to physics concepts such as acceleration.
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Taylor Series | Essence of Calculus, Chapter 10 Video

Taylor Series | Essence of Calculus, Chapter 10

22 mins 11th - Higher Ed
Sometimes close enough is just perfect. The last video in a series of 11 explores the Taylor series and its connection to derivatives. It shows the process for finding Taylor series approximations for y = sin x and for y = e^x.
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Derivative Formulas Through Geometry | Essence of Calculus, Chapter 3 Video

Derivative Formulas Through Geometry | Essence of Calculus, Chapter 3

19 mins 11th - Higher Ed
Geometry to the rescue. By watching a video, scholars see how geometric concepts help explain derivative formulas: areas of rectangles and volumes of rectangular prisms for the Power Rule and similarity and trig ratios for the Sine Rule.
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Interactive Calculus Tool Interactive

Interactive Calculus Tool

9th - 12th
It's almost like a graphing calculator, but it's completely free. An interactive allows users to graph a polynomial function on a coordinate plane. Additionally, the program can draw tangent lines, draw derivative curves, and calculate...
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The Fundamental Theorem of Calculus Presentation

The Fundamental Theorem of Calculus

10th - 12th
CCSS: Adaptable
Practice in the mechanics of using substitution in integration is often hard to come by in enough quantity for learners to really wrap their heads around the nuances of the technique. This worksheet set with solution key and worked...
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Finding Limits Using Tables and Graphs Presentation

Finding Limits Using Tables and Graphs

10th - 12th
CCSS: Adaptable
An excellent set of problems for developing limit intuition in learners, this presentation and homework set leads the class from testing basic continuous functions through to discontinuous piecewise problems. Using both table and...
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Polynomial Graphing Activities & Project

Polynomial Graphing

11th - Higher Ed
CCSS: Adaptable
Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...
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Calculus - Functions Video

Calculus - Functions

6 mins 11th - Higher Ed
CCSS: Adaptable
An understanding of the basics of a function is key to success in upper-level math courses! A video describes in detail the important aspects of functions including domain, range, combinations, compositions, and vertical line test. 
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Sales Decline Calculus Problems Video

Sales Decline Calculus Problems

6 mins 11th - Higher Ed
CCSS: Adaptable
Decaying car sales ... when should the advertising resume? The last video in a series of 31 works a problem involving exponential decay. The problem presents the scenario of declining car sales in which the rate is not given directly to...
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Integral Calculus Lesson Plan

Integral Calculus

10th - Higher Ed
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
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Mathematics Definitions -- Calculus Interactive

Mathematics Definitions -- Calculus

10th - 11th
In this calculus worksheet, students define words related to math to emphasize the importance of knowing the vocabulary in order to understand what is being asked of the problem. This worksheet contains 17 questions dealing with...
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Mini Exam on Calculus Worksheet

Mini Exam on Calculus

11th - 12th
In this calculus worksheet, learners differentiate equations and calculate rate of change. They find the area and volume under a curve. There are 18 questions on this test.
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Topics in Calculus: Applications of Derivatives Lesson Plan

Topics in Calculus: Applications of Derivatives

11th - 12th
Students explore and apply derivatives. In this math lesson, students graph and write a model representing a derivative. They identify important properties of a derivative using a word problem.
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Topics in Calculus: Applications of Derivatives Lesson Plan

Topics in Calculus: Applications of Derivatives

11th - Higher Ed
Students investigate rate related problems and derivatives. In this math lesson, students calculate derivatives through graphing and word problems. This activity requires a TI calculator.
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Calculus Cryptarithm Worksheet

Calculus Cryptarithm

10th - 12th
In this cryptarithm instructional activity, students solve an alphametic puzzle.  They determine the numerical value of letters.  This one-page instructional activity contains 1 problem.  The answer is provided.
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Exam 1 Review - Basic Calculus Worksheet

Exam 1 Review - Basic Calculus

Higher Ed
In this basic calculus review worksheet, students write examples and definitions of terms. Topics include the Euler's method, the SIR model, functions, equation of a line and successive approximations. This one-page worksheet contains...
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Introduction To Calculus Lesson Plan

Introduction To Calculus

11th - 12th
Students engage in a lesson that is about an introduction to the course of calculus. They practice some of the basic concepts and solve some problems applying different principals of calculus. The teacher uses the sample problems...
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Calculus Exploration: Area of Rectangles and Definite Integrals Lesson Plan

Calculus Exploration: Area of Rectangles and Definite Integrals

12th - Higher Ed
Students calculate area under a curve using Riemann Sums. In this calculus lesson plan, students investigate the integral through estimation and calculation. They compare their approximate answer to their true answer.
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Air Resistance Lesson Plan

Air Resistance

12th
Twelfth graders explore integral calculus.  In this Calculus instructional activity, 12th graders use the tools of integral calculus to investigate the motion of a free falling objet which is governed by both gravity and air resistance. 
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Functioning on Your Own Lesson Plan

Functioning on Your Own

12th - Higher Ed
Young scholars explore and create functions. In this calculus activity, students create functions with the help of the Voyage 200 PLT. This assignment requires technology.
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Calculus Concepts Lesson Plan

Calculus Concepts

12th - Higher Ed
Students use a graphing calculator to do calculations and edit their calculations using script. In this graphing calculator activity, students compute the length of intervals given in parametric form. Students verify the results for...
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Derivative Grapher Lesson Plan

Derivative Grapher

9th - 12th
CCSS: Designed
Learners graph the derivative of functions in this calculus lesson. They use the TI to graph their functions and algebraically take the derivative of each function. They then create a visual and analyze the graph.
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Functions and Limits Worksheet

Functions and Limits

11th - 12th
In this calculus learning exercise, students apply the properties of limits as they solve functions with x approaching 1. They identify the point of inflection. There are 40 questions.
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Substitution Method Worksheet

Substitution Method

11th - 12th
In this calculus worksheet, students solve the function using the derivatives. They use properties of derivative and trigonometry to help them find the trig values. There are 28 problems.
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Derivatives Worksheet

Derivatives

9th - 12th
In this calculus worksheet, students take the derivative of functions and identify the instantaneous rata of change. There are 20 questions.
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Guess My Number Worksheet

Guess My Number

9th - 11th
In this calculus worksheet, students solve word problems using algebra. Students solve derivatives to attain clues needed to solve a given quandary. There are 10 questions with an answer key.
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Derivative Formulas Worksheet

Derivative Formulas

9th - 11th
In this calculus worksheet, students solve functions using the derivative formulas. There are 26 formulas for them to review and go over.
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Maximum and Minimum of Functions Worksheet

Maximum and Minimum of Functions

10th - 12th
In this calculus learning exercise, students are given functions and values to derive using the functions. They are asked to find the maximum, minimum and point of inflection. There are 28 questions.
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Vectors and Lines Worksheet

Vectors and Lines

11th - 12th
In this online calculus worksheet, students find the vector of a line using the derivative. They calculate the points on a curve where the lines have the same direction, opposite direction or the same direction. These are all example...
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Derivatives and Maximum or Minimum Worksheet

Derivatives and Maximum or Minimum

9th - 11th
In this calculus worksheet, students calculate the maximum, minimum, and determine if the graph is concave up or down. There are 2 questions.
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Graphs and Exponential Functions Lesson Plan

Graphs and Exponential Functions

9th - 11th
Students graph and analyze exponential functions. In this calculus lesson, students define the changes of the parameters and how they affect the graph. They explore asymptotes and horizontal asymptotes. They solve and graph different...
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A Further Look at Inverse Functions Lesson Plan

A Further Look at Inverse Functions

11th - 12th
Students investigate inverse functions. In this calculus lesson, students use the horizontal line test to determine if a functions inverse is a function. They define functions given a graph or an equation.
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Epsilon-Delta Window Challenge Lesson Plan

Epsilon-Delta Window Challenge

9th - 12th
CCSS: Designed
Learners graph functions and analyze them. In this calculus activity, students define limit formally using Epsilon-Delta. They use the TI to graph the function and analyze it.
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A Tale of Two Lines Lesson Plan

A Tale of Two Lines

9th - 12th
CCSS: Designed
Students graph systems of equation. In this calculus instructional activity, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.
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Limits at Infinity Lesson Plan

Limits at Infinity

9th - 12th
CCSS: Designed
Young mathematicians solve problems involving limits in this calculus instructional activity. They identify the value of x as the limit approaches positive and negative infinity. Learners study the magnitude as x increases in value.
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Basic Limits Lesson Plan

Basic Limits

9th - 12th
CCSS: Designed
Learners calculate the limits of functions. In this calculus lesson, high schoolers find the left and right handed limits of different functions. They use the Ti Navigator to drag the function around as they study limits.
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Critical Points Lesson Plan

Critical Points

9th - 12th
CCSS: Designed
Students identify critical points on a graph. In this calculus instructional activity, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.
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MVT for Derivatives Lesson Plan

MVT for Derivatives

9th - 12th
CCSS: Designed
Young scholars find the derivative using the mean value theorem in this calculus lesson. They find the slopes of secant and tangent lines, then analyze the function and identify the slope.
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Continuity and Differentiability 1 Lesson Plan

Continuity and Differentiability 1

9th - 12th
CCSS: Designed
Pupils examine graphs for continuity and differentiability in this calculus lesson. They observe piecewise functions to see where continuity and differentiability come into play. Learners finish by graphing their equation on the TI...
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Mean Value Theorem Lesson Plan

Mean Value Theorem

9th - 12th
CCSS: Designed
High schoolers calculate the slopes of secant lines. In this calculus lesson plan, students graph tangent and secant lines using the coordinate plane. They use the Ti calculator to graph and observe the lines.
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Concavity of a Graph Lesson Plan

Concavity of a Graph

9th - 12th
CCSS: Designed
Learners explore the graph of a function. In this calculus lesson, learners identify when and where the graph is increasing or decreasing. They identify if it concave up or down by moving the cursor.
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Position, Distance, Velocity Lesson Plan

Position, Distance, Velocity

9th - 12th
CCSS: Designed
Learners calculate the position, distance and velocity using functions in this calculus lesson. They investigate horizontal motion through the derivative of functions and use the TI to create a visual of their function.
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