Lesson Plan
Curated OER

Implicit Differentiation

For Teachers 11th - 12th
Students implicitly differentiate functions .  In this implicitly differentiating functions instructional activity, students take the derivative of functions that cannot be solved for a variable.  Students find the derivative...
Worksheet
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The Product and Quotient Rules

For Students Higher Ed
In this derivatives worksheet, students solve nine short answer problems by multiplying or dividing with derivatives. They answer one true/false question. Students solve five short answer questions.
Worksheet
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Worksheet 17

For Students 11th - Higher Ed
For this math worksheet, students suppose that a function f and its derivative f1 are continuous and that there are constants K, a, and M such that |f(t)|< Keat for t ≥ M.
Worksheet
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Implicit Differentiation

For Students Higher Ed
In this implicit differentiation worksheet, students use the chain rule to solve for the derivative. The find the equation for the tangent line at a given point and determine if the line is vertical. This two-page worksheet contains...
Worksheet
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More on Least Squares

For Students 12th - Higher Ed
In this least squares worksheet, students solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2 equations in 2...
Worksheet
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A.P. Calculus - First Semester Esxamination

For Students 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.
Worksheet
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Calculus Activity based on "The Simpsons"

For Students 12th - Higher Ed
In this calculus worksheet, learners 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
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Worksheet 20 Fall 1995

For Students 11th - Higher Ed
In this math worksheet, students describe a step by step method to solve rate problems. Then they state the time derivatives of different quantities.
Worksheet
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Maximum and Minimum Points

For Students 11th - 12th
In this maximum and minimum points worksheet, students solve and complete 12 various types of problems. First, they find the area of the smallest triangle given the point of intersection. Then, students find the volume of a box that has...
Lesson Plan
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Differential Equations

For Teachers 11th - 12th
Students solve derivatives of differential equations. In this calculus lesson plan, students solve equations using the derivative to obtain no differentials in the equation. They complete an assignment in the text book also.
AP Test Prep
College Board

2016 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Using the common errors and test taker responses, it's easy for teachers to see where to pinpoint instruction throughout the AP Calculus course. Pupils, using the released items, develop an understanding of how future exams assess the...
AP Test Prep
College Board

2014 AP® Calculus AB Free-Response Questions

For Students 10th - 12th
Give classes a sneak peek at an upcoming test. Scholars work released items from the AP Calculus AB test to prepare for their own exams. The resource consists of six items, two graphing calculator items, and four non-calculator items....
Lesson Plan
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Matter and Motion 3

For Teachers 11th - Higher Ed
In this matter and motion worksheet, students solve 3 different types of problems that relate to the chain rule for multivariable functions. First, they find the rate of increase of the volume of a can and the rate of increase of the...
Worksheet
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Challenge Discussion Sheet 5

For Students Higher Ed
In this math worksheet, students solve for the derivative of seven functions. For three derivatives, students set up a sign chart. They solve three word (or story) problems dealing with falling items.
Worksheet
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Worksheet 9

For Students Higher Ed
In this integration worksheet, students solve 30 short answer (computation) problems. They find the area of regions enclosed by graphs of given functions for one problem. Students solve five short answer problems using derivatives. They...
Worksheet
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Numerical Analysis: Solving Linear Equations

For Students Higher Ed
In this linear equation worksheet, students compare methods to solve linear equations. This four-page worksheet contains approximately five questions.
Worksheet
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A Plethora of Derivatives

For Students Higher Ed
In this derivative worksheet, students fill in tables to identify the value of given functions. They write and utilize the addition rule, chain rule, multiple rule, product rule, quotient rule and power rule to solve functions. This...
Worksheet
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Inverse Trig

For Students 11th - Higher Ed
In this inverse trig activity, students solve and complete 24 various types of problems. First, they evaluate each of the trigonometric inverses shown. Then, students find x and y in each trigonometric derivative. They also find the...
Worksheet
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Senior Analysis: Trig Limits

For Students 11th - Higher Ed
In this trig limits learning exercise, students evaluate the limits of given equations. They use trig derivatives and implicit differentiation to solve given equations. This three-page learning exercise contains 27 multi-step problems.
Worksheet
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Math 155 - Spring 2002 Worksheet: Limits

For Students 11th - 12th
In this limits worksheet, students solve 6 short answer problems.  Students find the limits of functions, points of discontinuity, and the derivatives of functions.
Worksheet
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Applications of Derivatives: General Rules for Optimization

For Students Higher Ed
In this minima and maxima worksheet, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.
Worksheet
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Quiz 2: Rules of Differentiation

For Students Higher Ed
For this differentiation worksheet, students apply the rules of differentiation to solve given problems. This two-page worksheet contains three problems.
Worksheet
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ESP Quiz 4

For Students 12th - Higher Ed
Students solve four short answer (computation) problems by evaluating indefinite integrals. This worksheet is intended to be used as a quiz, but could be used a review.
Worksheet
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Quiz 1-Problem Solving and Naming Compounds

For Students 11th - Higher Ed
In this problem solving activity, students are given five problems including calculating volume given the dimensions of a pool, determining the number of subatomic particles in an atom, filling in a table with chemical names and formulas...