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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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AP Calculus Practice Exam
In this calculus worksheet, 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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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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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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Linear Approximation
In this algebra worksheet, learners 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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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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#3 Differential Calculus
Young scholars 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...
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Curve Sketching
In this calculus activity, 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
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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The Second Fundamental Theorem of Calculus
Students investigate the fundamental theorem of calculus. In this calculus instructional activity, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
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Symbolic Math Guid App
High schoolers explore problem solving with the TI-89 or Voyage 200. In this secondary mathematics lesson, your learners will investigate the Symbolic Math Guide Application which assists students with problem solving strategies by...
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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 learning exercise, students solve 25 short answer word problems. Students solve application word problems by finding the derivatives of functions.
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Precalculus Exam
In this precalc lesson, learners write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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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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Differential Equations
Learners solve derivatives of differential equations. In this calculus lesson plan, 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
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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Skin as an Organ
Middle schoolers are introduced to human skin as an organ of the body with many roles, functions and interactions with other organs. They investigate the integumentary system in groups and complete a worksheet with their findings.
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Limits and Infinity
In this calculus lesson, learners graph functions, identify limits and use the derivative to solve equations with limits. There are 5 questions about limits as x approaches infinity.
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Limits and Trigonometric Equations.
In this calculus worksheet, students solve functions dealing with limits and the 6 trigonometric values. They find the slope and tangent lines. There are 28 questions.
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Exponential Decay
Students study exponential decay and its application to radiocarbon dating. In this exponential decay lesson, students use candy to model the time it takes for something to decay. Students also graph the data they collect and...
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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.