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Worksheet
Curated OER

Applications of Derivatives: Concavity and Optimization

For Students Higher Ed
In this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...
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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

Math 155 - Worksheet 5. Derivative

For Students Higher Ed
In this derivative worksheet, students find the derivative of given functions and find the equation of a tangent line to a curve. They differentiate functions and work velocity and acceleration functions. This two-page worksheet...
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Worksheet
Curated OER

Derivative

For Students 10th - Higher Ed
In this derivative worksheet, learners determine the derivative and then find the value at a specified point for a given function. There are 3 questions.
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Lesson Plan
Curated OER

Worksheet 25 - Chain Rule

For Teachers Higher Ed
In this chain rule worksheet, students use the chain rule and substitution to find partial derivatives. They identify total surface area, and find the distance from the origin to the plane. This one-page worksheet contains seven...
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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
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...
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Worksheet
Curated OER

Practice Test for Midterm: Partial Derivatives

For Students 10th - 12th
In this partial derivatives worksheet, students use Lagrange multipliers to find the maximum and minimum values of a given function. They find an equation of the tangent plane under given conditions and identify the second partial...
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Lesson Plan
Curated OER

Exploring Functions and Their Derivatives

For Teachers 10th - 12th
Students explore and derive functions. In this calculus lesson, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.
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Worksheet
Curated OER

Multivariable Calculus: Application of Partial Derivatives

For Students Higher Ed
In this partial derivatives worksheet, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page worksheet contains explanations, examples,...
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Lesson Plan
Curated OER

Gravitational Acceleration

For Teachers 9th - 12th
Students investigate the interdependence of mass and gravitational acceleration using computer simulation. In this physics lesson plan, students derive the formula for acceleration due to gravity. They calculate air resistance on falling...
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Worksheet
Curated OER

The Chain Rule

For Students 12th - Higher Ed
In this calculus worksheet, students are given 21 short-answer problems regarding the "chain rule", derivatives, rate of change and completing tables.
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Worksheet
Curated OER

AP Calculus Practice Exam 2008

For Students 11th - 12th
In this calculus practice exam worksheet, students solve 16 multiple choice problems. Students find derivatives, points of continuity, area, rates, etc.
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AP Test Prep10:44
Flipped Math

Calculus AB/BC - Exploring Behaviors of Implicit Relations

For Students 10th - 12th
Put everything together implicitly. Pupils use their knowledge of implicit differentiation to determine whether a curve is increasing or decreasing or its concavity. Given a differential equation, scholars determine whether a specific...
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Worksheet
Curated OER

Worksheet #3, Derivative Rates, Percent Rate of Change, Chain Rule

For Students 10th - 11th
In this calculus learning exercise, students answer compute the distance of an object from a given point after t seconds when given the formula. They use the chain rule to answer 2 questions. Students compute the derivatives and sketch a...
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Lesson Plan
Curated OER

Sign of the Derivative

For Teachers 9th - 12th Standards
Learn how to investigate the change in a graph by dragging the cursor to observe the change in the function. They use the TI calculator to graph their parabola.
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Lesson Plan
EngageNY

Modeling Video Game Motion with Matrices 2

For Teachers 11th - 12th Standards
The second day of a two-part lesson on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the 32-part...
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Lesson Plan
Curated OER

Worksheet 12: Functions

For Teachers 11th - Higher Ed
In this math worksheet, students are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.
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AP Test Prep19:47
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Flipped Math

Calculus AB/BC - Straight-Line Motion: Connecting Position, Velocity, and Acceleration

For Students 10th - 12th
Move the video on motion to the front of the line. The second of eight lessons in Unit 4 - Contextual Applications looks at straight-line motion. Scholars learn how position, velocity, and acceleration are related by derivatives before...
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AP Test Prep
College Board

2011 AP® Calculus BC Free-Response Questions Form B

For Students 10th - 12th
Take a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...
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Lesson Plan
Curated OER

Motion of a Bouncing Ball

For Teachers 12th
Twelfth graders complete a unit of lessons on derivatives as they are applied to motion. They observe and discuss demonstrations, conduct an experiment involving a motion sensor, graph and analyze the results, and summarize their findings.
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Worksheet
Curated OER

A.P. Calculus - First Semester Esxamination

For Students 11th - 12th
In this calculus exam learning exercise, 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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Worksheet
Curated OER

The Second Derivative Test for Relative Extrema in Three Dimensional Space

For Students 11th - Higher Ed
In this math activity, students seek to find the relative maximum and minimum values of surfaces in three dimensional space for the function.
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Lesson Plan
EngageNY

Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?

For Students 10th - 12th Standards
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!

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