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Fundamental Theorem of Calculus
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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#3 Differential Calculus
Students create models of the Mean Value Theorem. In this Mean Value lesson, students use their knowledge of derivatives and exponential functions to explore the Mean Value Theorem. They illustrate the meaning of the throrem, create...
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Sign of the Derivative
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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One Revolution for Robot
Students calculate the revolution and circumference of circles. For this calculus lesson, students derive the formulas for their given shape. They use the d=rt to calculate the distance and rate of travel.
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Interest and the Number e
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would happen as...
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Rules For Differentiation
Students investigate the concepts related to derivatives tat include the Power Rule and then apply the appropriate derivative formula to solve the different problems. They practice reading the rules of derivatives included in the lesson...
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Review For Test On Chapter 5
High schoolers engage in a study of various concepts in relation to preparing for a calculus exam. They sketch and discuss and sketch a variety of functions. The lesson plan includes an outline of review that should be used by the...
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Derivatives of Exponential Functions
Learners listen as the teacher develops the derivative formula for if y=e^x, They find dy/dx by showing two proofs. Students determine the derivative of y=e^tan3x, and if y=e^2x they determine the hundredth derivative. Learners listen as...
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Related Robots
Learners solve problems using implicit differentiation. In this calculus lesson, students take the derivative to calculate the rate of change. They observe two robots and draw conclusion from the data collected on the two robots.
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The Calculus Whiz Who Owned a Box Company
Students use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
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Maxima and Minima Problems
Students calculate the maxima and minima of quadratic equations. In this calculus lesson plan, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative.
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Rules for Differentiation
Twelfth graders review the rules for derivatives and use them to solve problems. In this calculus lesson, 12th graders apply the power rules for derivatives correctly to solve equations. This assignment contains lots of examples of...
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Listen and Line Up
High schoolers practice the derivative using an interactive activity. In this calculus instructional activity they explore the derivative by playing a game. Each student gets a turn at being the caller.
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Related Rates
Twelfth graders rewrite word problems using equations. In this calculus lesson, 12th graders solve real world situation using the derivative. They solve problems on rate, and distance.
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Logarithmic Differentiation
Students analyze the steps required to take the derivative of an equation. In this calculus instructional activity, students take the derivative of logs using the same method for regular equations. They review derivatives of sine, cosine...
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Concavity of a Graph
Learners explore the graph of a function. In this calculus lesson, students identify when and where the graph is increasing or decreasing. They identify if it concave up or down by moving the cursor.
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Minimums, Maximums and Zeroes
Young mathematicians will identify the minimum, maximum-and zeros of a function in this calculus lesson. They relate the derivative of a function to its zeros and minimum or maximum. They then graph their solutions and explain different...
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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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Rectilinear Motion
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
Students 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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A Tale of Two Lines
High schoolers graph systems of equation. In this calculus lesson, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.
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Optimization
Learners identify the critical points to a function. In this calculus lesson, students perform optimization of functions. They use the TI to create a visual of the graph.
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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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Displacement, Velocity, Acceleration
Twelfth graders solve problems of displacement, velocity and acceleration. In this calculus instructional activity, 12th graders are given the acceleration and asked to derive the formula for velocity. They work problems involving real...