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Applications of First and Second Derivatives.
In this calculus instructional activity, students solve for the critical values, open intervals and find the maximum and minimum. There are 7 questions dealing with the derivative.
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Math 150 - Differentiation Applications
In this differentiation worksheet, students solve 25 short answer word problems. Students solve application word problems by finding the derivatives of functions.
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EOC Review G
In this end of course review, students factor expressions, interpret statistic problems, and identify the maximum and minimum of equations. This two-page instructional activity contains 5 multi-step problems.
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Trigonometry Practice
In this trig worksheet, learners draw graphs of trig functions and identify the cycle of the function. They discuss period and phase shift. There are 9 questions with an answer key.
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The Corner Problem
Students explore the concept of the corner problem. In this corner problem lesson, students use the TI-NSpire to determine the maximum length a rod can be and still pass horizontally around a corner. Students use similar triangles to...
College Board
2001 AP® Calculus AB Free-Response Questions
Take a closer look at the exam. Released items from the 2001 Calculus AB exam allow teachers and pupils to view how the exam presents questions. Scholars use the questions to prepare for the test and compare their responses to the...
Flipped Math
Intro to Quadratics
Quadratics need no introduction, but here is one anyway. Learners watch a video that introduces them to quadratics. The pupils learn what a quadratic is, its key features, and how to sketch a graph of the parabola it defines. Then, they...
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Application of Differentiation: Optimization
In this optimization worksheet, students complete a table identifying the characteristics of a function and it's derivative and provide an illustration of each type of function. Afterward, they use the first derivative test for finding...
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Application of Parabolas
Students graph quadratic equations. In this algebra lesson plan, students relate the parabola to real life applications. They identify the maximum and minimum of the parabola.
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Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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Design-a-Lesson-Packaging a Product
Pupils in a teacher education class address consumer related issues involving packaging. Using volume, surface area and graphs, they create a package for a given volume of a product. They design modifications for this lesson plan and...
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Multivariable Optimization
In this multivariable optimization worksheet, students determine the local maximum and local minimum of given functions. They identify the critical points for given function and match contour plots to the proper functions. This four page...
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AP Calculus Practice Exam
In this Calculus worksheet, students are provided with questions that are reflective of the content of their exam. Topics covered include derivatives, volume of a solid of rotation, local maximum and minimum, and integration. The one...
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AP Calculus Practice Exam
In this Calculus worksheet, students are provided with practice problems for their exam. Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of revolution. ...
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Qualitative Analysis of the S-I-R Model
In this qualitative analysis worksheet, students explore the S-I-R model of determining given values of a function. They determine the maximum, minimum values and the slope. students write a rate equation for given information. This...
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Applications of Derivatives: Concavity and Optimization
For this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...
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Converging Series
In this functions worksheet, learners calculate the average value, continuity, and the radius of convergence. There are 17 multiple choice questions.
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Heating the Atmosphere
Students construct a thermograph for maximum and minimum temperatures for the 2-week period. They illustrate how the earth's atmosphere is heated by convection and conduction currents and evaporation of water.
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Between The Extremes
Students analyze graphs for specific properties. In this algebra lesson, students solve equations and graph using the TI calculator. They find the different changes that occur in each graph,including maximum and minimum.
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Rate Equations: Equilibrium and Inflection Values
In this rate equation, learners are given 7 short-answer problems regarding functions, maximum and minimum values, equilibrium values, and inflection values.
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Effects of Parameter Changes
Students define properties of a quadratic equation. In this algebra lesson, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
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Integration
In this calculus worksheet, students simplify integrals and solve problems that involve related rates and maximum and minimums. The one page worksheet contains twenty-three problems. Solutions are not provided.
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Modelling Periodic Phenomena
For this Pre-calculus/Trigonometry worksheet, students determine the trigonometric function that best models the given data. The eight page worksheet contains explanation, examples, and twenty-one problems. Answers are not included.
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The Second Derivative Test for Relative Extrema in Three Dimensional Space
In this math worksheet, students seek to find the relative maximum and minimum values of surfaces in three dimensional space for the function.