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Practicing the Chain Rules
In 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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Logarithmic Differentiation
Learners 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
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
Students calculate the distance between two points using the distance formula. In this geometry lesson, students derive the distance formula using the Pythagorean Theorem.
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Five Utah Indian Tribes
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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Differentials
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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Related Rates
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
Twelfth graders rewrite word problems using algebraic expressions. For 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
Learners solve derivatives of differential equations. For 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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Linear Approximation
In this algebra worksheet, 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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Gravitational Acceleration
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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Why Are Hot Things Red?
In this radiation and temperature instructional activity, learners 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...
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AP Calculus Exam Prep
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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Soduko Puzzle
In this calculus learning exercise, 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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Position, Distance, Velocity
Learners calculate the position, distance and velocity using functions in this calculus activity. 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
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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Making Cladograms
High schoolers 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...
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A Hard Sell on Stem Cells?
Students 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?
High schoolers 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...
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Taking the Human Rights Temperature of Your School
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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The Area of a Circle
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
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
Students create models of the Mean Value Theorem. In this Mean Value 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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Inverse Trigonometric Functions (Review)
Students discuss the importance of inverse functions and derivatives. In this calculus lesson, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
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