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Worksheet
Curated OER

Discussion Sheet 2

For Students 11th - Higher Ed
In this math worksheet, students investigate the functions and find the derivatives. Then they examine the critical and saddle points.
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Worksheet
Curated OER

Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem learning exercise, students give antiderivatives of functions, find the area under a curve, and evaluate continuous functions. This two-page learning exercise contains ten problems.
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Worksheet
Curated OER

Math 212: Application of Partial Derivatives

For Students Higher Ed
For this partial derivatives worksheet, students find the equation of the tangent plane to a given surface, they compute functions, and sketch graphs of a tangent plane. This two-page worksheet contains three problems.
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Worksheet
Curated OER

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.
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Worksheet
Curated OER

Four Calculus Derivative, Extrema, and Maximize Area Problems

For Students 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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Worksheet
Curated OER

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

For Students 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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Worksheet
Curated OER

New Functions From Old, Part 1

For Students Higher Ed
In this function worksheet, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page worksheet...
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Worksheet
Curated OER

Find the Average Value of a Function

For Students 11th
In this calculus worksheet, 11th graders calculate the average value of a function. They find the line tangent to a curve and graph the equation. There are 15 questions.
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Worksheet
Curated OER

Bingo: Derivatives, Power Rule, Product Rule, Quotient Rule

For Students 11th - 12th
In this derivatives worksheet, students find the derivative of 25 problems.  Students use the power, product, and quotient rule to find the derivative of various functions.
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Worksheet
Curated OER

The Inverse Trigonometric Functions

For Students 12th
In this Calculus worksheet, 12th graders determine the derivative of inverse trigonometric functions and determine integrals.  The one page worksheet contains seven problems.  Answers and solutions are provided. 
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Lesson Plan
Curated OER

Worksheet 29 - Interval

For Teachers Higher Ed
In this interval worksheet, students find integrals of functions, use the first derivative test to classify points, and find the local and global extrema. This one-page worksheet contains eight multi-step problems.
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Lesson Plan
Curated OER

Worksheet 11 - Fall 95

For Teachers 12th - Higher Ed
In this calculus worksheet, learners solve differentiable functions, determine the inverse of a function and identify the derivative. This one-page worksheet contains seven multi-step problems.
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Lesson Plan
Curated OER

Worksheet 1

For Teachers Higher Ed
In this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...
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Lesson Plan
Curated OER

Worksheet 13 - Implicit Differentiation

For Teachers Higher Ed
In this implicit differentiation worksheet, students differentiate expressions and identify the derivative of a function. This one-page worksheet contains six multi-step problems.
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Lesson Plan
Curated OER

Worksheet 31 - Doman & Range

For Teachers Higher Ed
In this function worksheet, students determine the domain and range of given functions. They use trigonometric ratios to determine if a statement is true or false. Students differentiate equations. In this one-page worksheet, students...
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Interactive
CK-12 Foundation

Constant, Identity, and Power Rules: Power Rule

For Students 11th - Higher Ed
Learn to gain power in finding derivatives. The resource introduces the power rule. Using the sliders in the interactive, pupils create polynomial functions and find their derivatives. Given the derivative of a polynomial, learners...
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Interactive
CK-12 Foundation

Chain Rule

For Students 11th - Higher Ed
Keep it on the chains. Pupils work through the steps in the chain rule using the interactive as a guide. Learners identify the two composed functions and their associated derivatives from a set of choices. They continue on to build the...
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Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
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Lesson Plan
EngageNY

Modeling with Quadratic Functions (part 2)

For Students 9th - 10th Standards
How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped object,...
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Lesson Plan
EngageNY

The Graph of a Function

For Teachers 9th - 10th Standards
Mathematics set notation can be represented through a computer program loop. Making the connection to a computer program loop helps pupils see the process that set notation describes. The activity allows for different types domain and...
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Lesson Plan
EngageNY

Modeling with Quadratic Functions (part 1)

For Students 9th - 10th Standards
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...
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Lesson Plan
EngageNY

Graphs of Quadratic Functions

For Students 9th - 10th Standards
How high is too high for a belly flop? Learners analyze data to model the world record belly flop using a quadratic equation. They create a graph and analyze the key features and apply them to the context of the video.
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AP Test Prep14:50
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Flipped Math

Calculus AB/BC - Extreme Value Theorem, Global Versus Local Extrema, and Critical Points

For Students 10th - 12th
It is critical to find all the extreme points. Pupils analyze graphs in the presentation to determine whether there are points that are either maximums and minimums. Using derivatives, learners find out how to find critical points from...
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Lesson Plan
Project Maths

Introduction to Calculus

For Teachers 10th - Higher Ed Standards
Don't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based lesson plan helps them keep it in check! The second lesson plan in a three-part series asks learners to analyze the rate of change of...