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Worksheet
Curated OER

Implicit Differentiation

For Students Higher Ed
In this implicit differentiation worksheet, students solve problems using the chain rule and implicit differentiation. They explain the differences between the chain rule and the implicit differentiation. This two-page worksheet...
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Worksheet
Curated OER

Related Rates Problems: An Application of Implicit Differentiation and the Chain Rule

For Students Higher Ed
In this related rates problem worksheet, students use the chain rule and implicit differentiation to solve related rate problems, such an writing an expression relating to the ripple of a circle. This three-page worksheet contains...
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Lesson Plan
Curated OER

The Shortest Distance

For Teachers Higher Ed
Students, working on their GED, examine the steps used to resolve the unknown sides of a right triangle. They express the square root function as an exponential function and derive the distance formula using principles of geometry.
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Worksheet
Curated OER

Curve Sketching

For Students 11th - 12th
In this calculus worksheet, students identify the point of increase and decrease on a graph. They analyze the curve of a graph using the derivative. There are 10 open questions about derivatives.
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Lesson Plan
Curated OER

Transformations

For Teachers 10th
Tenth graders recognize, perform and derive rules for basic transformations including translation, reflection and rotation. They also consider compositions, a combination of two or more basic transformations. Students explore both...
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Lesson Plan
Curated OER

Kepler's Third Law

For Teachers 9th - 12th
Students use Kepler's third law to derive the velocity in a circular orbit of any radius, and identify the Earth escape velocity.
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Lesson Plan
Curated OER

Minimize Perimeter

For Teachers 6th - 8th
Students practice calculating the perimeter of different sized rectangles. Individually, they identify the derivations of a function that can show the perimeter and determine how to minimize the perimeter within a fixed area. They use...
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Lesson Plan
Curated OER

Minimize Perimeter -- Lecture

For Teachers 6th - 8th
Students are introduced to the concept of perimeter. As a class, they listen to a lecture describing the derivations of a function that describes perimeter. They calculate the minimum perimeter of a rectangle and determine the numbers...
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Worksheet
Curated OER

Calculus Test

For Students 11th - 12th
In this calculus activity, students assess their understanding and knowledge of limits, derivatives, differential equations, and other calculus topics.  The one page activity contains twenty-eight multiple choice questions.  Answers are...
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Lesson Plan
Curated OER

Ceramics: A Vessel into History

For Teachers 9th - 12th
High schoolers produce a ceramic vessel based on elements derived from historical examples.
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Worksheet
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Worksheet #5, Concavity,

For Students 11th - 12th
In this calculus worksheet, students determine the intervals in which a given relation is concave up. They determine the inflection points of a given formula. Students use the second derivative test to classify the relative extrema of a...
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Worksheet
Curated OER

AP Calculus Practice Exam

For Students 12th
In this calculus worksheet, 12th graders assess their knowledge of functions, integrals, trigonometric functions, derivatives, and limits.  The four page worksheet contains twenty-eight multiple choice questions.  Answers are not provided. 
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Lesson Plan
Curated OER

Calculus

For Teachers 10th - Higher Ed
Students make an inquiry with the aid of technology into the concept of functions. The emphasis of the lesson is on the interplay between the geometric and analytic information.
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Lesson Plan
Curated OER

OUtside Influence

For Teachers 9th - 12th
Students identify factors that are important for brain functioning of learning. They observe the impact of interaction in mice. They also create their own experiment dealing with the mice. They analyze and share their results.
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Worksheet
Curated OER

States of Consciousness

For Students 9th - 12th
In this psychology worksheet, high schoolers write short answers to 5 questions on states of consciousness. They list the different classes of recreational drugs and functions of sleep.
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Lesson Plan
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Finding Historical Motifs in Today's Furniture

For Teachers 6th - 8th
Students observe and explain continuity with the past in contemporary furniture design.
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Lesson Plan
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Exploring Geometric Constructions of Parabolas

For Teachers 6th - 8th
Students are introduced to the construction geometrically of parabolas. Using a software program, they identify lines, segments and midpoints. They label the parabolas properties and characteristics and use a formula to determine the...
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Lesson Plan
Curated OER

Easter Egg Eggstravaganza

For Teachers K
Students identify functions and proper use of the computer. They identify secondary colors by mixing primary colors. Students reinforce listening, speaking and following directions by playing a game. They identify the color gold.
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Lesson Plan
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Pendulum Problems

For Teachers 9th
Ninth graders explore how pendulums function.  In this pendulums lesson students complete a pendulum lab activity. 
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Lesson Plan
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Floppy And the Puppies

For Teachers 5th
Fifth graders reinforce and focus on the meaning derived from the text as a whole and identify and describe the main characters, events and settings in a fiction piece of writing. They incorporate a wide-range of adventurous vocabulary...
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Lesson Plan
Curated OER

Universal Gravitation

For Teachers 10th - 12th
Students calculate gravitational potential energy for any situation. They use two scenarios to evaluate gravitational potential energy in relation to conservation of energy. They verify that the gravitational potential energy function...
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Lesson Plan
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A.P. Exam Calculator Review

For Teachers 11th - 12th
Students review ways to use the calculator to graph a function, solve an equation, calculate a numerical derivative, and calculate a definite integral. They practice using their calculator to solve a set of sample exercises. Students...
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Interactive
Curated OER

Review of Calculus BC II

For Students 11th - 12th
In this Calculus instructional activity, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series.  The one...
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Lesson Plan
Curated OER

Exploding Numbers

For Teachers 9th - 12th
Students discuss how numbers increase when exponential growth is occurring. They view a video and compare exponential and linear growth with a graphing calculator.