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Video on Exponential Growth
Students watch a video on exponential growth and discuss the different graphs. In this calculus lesson, students analyze graphs using examples from the fish population, human population and investments. They discuss compounding interest...
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Logarithmic Differentiation
Young scholars 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...
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Related Rates
Twelfth graders solve problems using related rates. For this calculus activity, the students solve word problems following 8 different key steps. They solve 4 problems related to the real world.
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Review for Test
Twelfth graders review logs and derivatives in preparation for their test. In this calculus lesson plan, 12th graders review inverse functions, log functions, derivatives of implicity and the three definitions of e. They prove...
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Inverse Trigonometric Functions (Review)
Students discuss the importance of inverse functions and derivatives. In this calculus lesson plan, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
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L'Hospital's Rule
Twelfth graders investigate and solve limit problems using L'Hopital's Rule. In this calculus lesson, 12th graders review the 3 properties of limits and apply those properties to solve equations of limits. They work lots of examples with...
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Test on Chapter 4
Twelfth graders review concepts of logarithms for their test. In this calculus lesson, 12th graders review inverse function, limits, deratives and solving logs equations. They review the chain rule and domain and range of inverse logs.
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Introduction to Applied Maximum Minimum Problems
Twelfth graders solve problems by finding the maximum and minimum. In this calculus lesson, 12th graders analyze certain animals identifying their maximum and minimum points. They also use bubble as part of their real world application...
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Applied Maximum Minimum Problems
Students investigate the maximum and minimum of a graph as it related to cat food. In this calculus lesson, students analyze the amount of cat food a cat consumes, identifying the maximum and minimum amount. They graph their data and...
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Applied Maxim Mininmum Problems
Students define the maximum and minimum of an equation. In this calculus lesson, students analyze point on a graph and determine when a graph is approaching a maximum or minimum. They take a Quiz after working some review problems.
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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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Rolle's Theorem and the Mean Value Theorem
Twelfth graders investigate the applications of the mean value theorem. In this calculus lesson, 12th graders apply the concepts of the mean value theorem to real life scenarios problems and relate it to Rolle's theorem. They...
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The Spider and the Fly
Young scholars investigate maxima and minima by finding the shortest distance. In this calculus instructional activity, students calculate the shortest distance a bug travels to get to the other side of the tv. They analyze their...
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Displacement, Velocity, Acceleration
Twelfth graders solve problems of displacement, velocity and acceleration. In this calculus lesson, 12th graders are given the acceleration and asked to derive the formula for velocity. They work problems involving real life scenarios.
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Review for Test on sections 6.2-6.3
Twelfth graders review integration techniques to get ready for their test. In this calculus lesson, 12th graders review integrals, trig substitution, integration by parts, trapezoidal rules and simpson's rule in preparation for a test....
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Test on sections 6.2-6.3
Twelfth graders review the properties of derivatives without a calculator to get ready for their test. In this calculus lesson, 12th graders review average rate change, parametric equations, a line tangent to a curve, quotient...
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Proof by Induction
Twelfth graders define and prove theorems using induction. For this calculus lesson, 12th graders differentiate between inductive reasoning and deductive reasoning. They review sigma notations and work proofs by induction.
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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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Video on Integration and Quiz on Induction
Young scholars investigate proofs through practice and example. In this calculus lesson, students watch a video on integration, discuss induction and take a quiz. They prove their understanding of a proof by induction.
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Slope Fields
Twelfth graders define and sketch slope fields. In this calculus lesson, 12th graders investigate solving differential equations through slope field graphs and algebraic equations. They use slope fields to check their work for the...
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The Definite integral and Area Under a Curve
Students define integrals and explore how they relate to the areas under a curve. In this calculus instructional activity, students solve word problems relating curves and integrals. They sing a song to help them remember the formula for...
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Test on Section 6.1-6.6
Students apply their knowledge of integration on this test. In this calculus activity, students answer question about, riemann sums, integrals and calculate area under a curve. This activity review these concepts and includes a test for...
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Average Value of a Function
Students investigate the average value of a function given different interval values. In this calculus lesson plan, students explore word problems and apply their knowledge of average value to find the answer. They apply previous...
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Evaluating Definite Integrals with Substitution
Students evaluate and define limits using substitution. In this calculus lesson, students apply the use of Integrals to explore Newton's law of Cooling. They solve rate and temperature problems using Integrals.
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