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Worksheet
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Practicing the Chain Rules

For Students 10th - 12th
For this calculus worksheet, students solve problems using the chain rule to take the derivative and solve the function. There are 6 questions which require the students to find the correct strategy to solve the equations.
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Lesson Plan
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Logarithmic Differentiation

For Teachers 12th - Higher Ed
Students analyze the steps required to take the derivative of an equation. In this calculus lesson, students take the derivative of logs using the same method for regular equations. They review derivatives of sine, cosine and tangent...
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Maxima and Minima Problems

For Teachers 11th - 12th
Students calculate the maxima and minima of quadratic equations. In this calculus lesson, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative. 
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Distance Formula

For Teachers 1st - 11th
Students calculate the distance between two points using the distance formula. For this geometry lesson, students derive the distance formula using the Pythagorean Theorem.
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Lesson Plan
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Five Utah Indian Tribes

For Teachers 4th
Fourth graders trace the emergence and development of culture in Utah. They study the five Utah Indian Tribes and review several names of physical features of Utah that are derived from Indian words. They discuss how many cultures have...
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Worksheet
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Why Are Hot Things Red?

For Students 11th - Higher Ed
In this radiation and temperature worksheet, students use 2 methods to derive the Wein Displacement law that shows the relationship between the temperature of a body to the frequency where the Planck curve's value is at its maximum....
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AP Calculus Exam Prep

For Teachers 11th - 12th Standards
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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Differentials

For Teachers 11th - Higher Ed
Students investigate Differential equations using derivatives. In this calculus lesson, students solve problems of differential equations by taking the derivative and explaining the changes that occurred in the equation. They define the...
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Lesson Plan
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Related Rates

For Teachers 12th
Twelfth graders rewrite word problems using equations. In this calculus activity, 12th graders solve real world situation using the derivative. They solve problems on rate, and distance.
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Rectilinear Motion

For Teachers 12th
Twelfth graders rewrite word problems using algebraic expressions. In this calculus lesson, 12th graders calculate the velocity, time and acceleration while analyzing real life scenarios. They solve problems related to when the...
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Differential Equations

For Teachers 11th - 12th
Learners solve derivatives of differential equations. In this calculus lesson, students solve equations using the derivative to obtain no differentials in the equation. They complete an assignment in the text book also.
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Soduko Puzzle

For Students 11th - 12th
In this calculus instructional activity, 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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Worksheet
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Linear Approximation

For Students 9th - 11th
In this algebra learning exercise, students solve problems using estimation and the derivative. They calculate the critical points, domain and indicated intervals. They calculate the first and second derivative. There are 5 problems.
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Lesson Plan
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Position, Distance, Velocity

For Teachers 9th - 12th Standards
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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Introduction to Conic Sections

For Teachers 9th - 12th Standards
Learners slice cones and identify the different conics formed. They then derive the formula to solve problems involving cones. Pull out the TI calculators to visualize the slicing and the different parts and properties created.
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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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Making Cladograms

For Teachers 9th - 12th
Students construct cladograms (evolutionary trees), showing how shared derived characters can be used to reveal degrees of relationship. They interpret and analyze cladograms, and determine where unclassified vertebrates would fit on a...
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A Hard Sell on Stem Cells?

For Teachers 6th - 12th
Learners examine their prior knowledge of cell regeneration and therapeutic use of stem cells. After reading an article, they discover new techniques for deriving embryonic stem cells. In groups, they research on the different types of...
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What Is The Concept?

For Teachers 9th - 12th
Students systemically determine the concept that the waste items placed in a "yes" category are biodegradable and those in the "no" category are not. This activity is a motivating way to introduce a unit on wastes by having students use...
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Taking the Human Rights Temperature of Your School

For Teachers 6th - Higher Ed
Students evaluate their school's human rights climate using criteria derived from the universal Declaration of Human Rights. They identify areas of particular concern and develop an action plan to begin addressing the issues.
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Fundamental Theorem of Calculus

For Teachers 9th - 12th Standards
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
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The Area of a Circle

For Teachers 8th
Eighth graders find the circumference and diameter of several lids, show the relationship of the two measurements and derive the formula for finding the area of a circle. In this area of a circle lesson plan, 8th graders find...
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Similarity

For Teachers 9th - 10th
Learners find the factor of proportionality in similar polygons. In this similarity of polygons lesson plan, students measure the sides and angles of polygons and derive a factor of proportionality between corresponding pairs of sides...
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#3 Differential Calculus

For Teachers 12th - Higher Ed
Students create models of the Mean Value Theorem.  In this Mean Value instructional activity, students use their knowledge of derivatives and exponential functions to explore the Mean Value Theorem.  They illustrate the meaning of the...

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