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Math 155 Worksheet 6
For this college level calculus worksheet, students determine the derivatives of the indicated functions and solve application problems. The two page worksheet contains seven problems. Answers are not included.
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Symmetric Secant
Mathematicians use a symmetric secant line to prove the derivative at a point. In this trigonometry activity, students create secant lines on the navigator to analyze the derivative. They move the lines around and make observations.
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Differentiation
Learners explore estimated and exact results for derivatives, tangent lines, implicit differentiation, and symbolic differentiation. The lesson provides examples with solutions and practice problems.
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Minimums, Maximums and Zeroes
Young mathematicians will identify the minimum, maximum-and zeros of a function in this calculus instructional activity. They relate the derivative of a function to its zeros and minimum or maximum. They then graph their solutions and...
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Optimization
Learners identify the critical points to a function. In this calculus lesson, learners perform optimization of functions. They use the TI to create a visual of the graph.
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Curve Sketching
In this calculus worksheet, students sketch a curve using a given function. They take the derivative of a function and graph it. There are 10 questions.
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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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Natural Logarithm
Young mathematicians solve problems of logs and natural logs. They graph functions of natural logs on the TI and relate integrals to natural logarithms.
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TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, young scholars explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics...
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Position, Distance, Velocity
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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The First Fundamental Theorem of Calculus
Solve problems using the fundamental theorem. In this calculus lesson, high schoolers solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.
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AP Calculus Practice Exam
In this calculus instructional activity, students calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.
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Linear Approximation
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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Local Linearity
In order to investigate local linearity, students graph the function on the TI-calculator and zoom to observe the change in slope on the line. They incorporate technology to visualize these problems.
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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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Move My Way: A CBR Analysis of Rates of Change
Learners match a given velocity graph and sketch the corresponding position graph using a graphing calculator. After collecting data from their everyday life, students use specific functions on their calculators to create graphs and...
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Word Problems
In this calculus worksheet, students use integration to solve word problems they differentiate between integration and anti derivatives, and between definite and indefinite integrals. There are 3 questions with an answer key.
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Listen and Line Up
High schoolers practice the derivative using an interactive activity. In this calculus lesson plan they explore the derivative by playing a game. Each student gets a turn at being the caller.
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#3 Differential Calculus
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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Curve Sketching
In this calculus worksheet, 12th graders answer questions about derivatives, increasing and decreasing functions, relative maximum and minimum and points of inflection. They also sketch the graph of the equation. There are 10 problems...
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Practicing the Chain Rules
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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The Second Fundamental Theorem of Calculus
Students investigate the fundamental theorem of calculus. In this calculus activity, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
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AP Calculus Practice Exam BC Version: Part B
In this calculus worksheet, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.
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Math 150 - Differentiation Applications
In this differentiation activity, students solve 25 short answer word problems. Students solve application word problems by finding the derivatives of functions.