Lesson Plan
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The Spider and the Fly

For Teachers 11th - 12th
Students investigate maxima and minima by finding the shortest distance. In this calculus lesson, students calculate the shortest distance a bug travels to get to the other side of the tv. They analyze their findings discussing...
Worksheet
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Maxima Minima Problems

For Students 9th - 11th
In this algebra instructional activity, learners find the maxima and the minima of the parabola. They calculate the maximum and minimum area and apply the formulas of polygons to help them solve equations. There are 8 questions with an...
Worksheet
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Analyze This Function

For Students 11th - 12th
In this derivatives worksheet, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the...
Worksheet
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The Sunspot Cycle-Endings and Beginnings

For Students 7th - 10th
In this sunspot cycle worksheet, students use a graph of the sunspot numbers from January of 1994 to January of 2008. Students solve 8 problems using the data in the graph to determine the maximum occurrence of sunspots, the minimum...
Worksheet
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Accuracy of Calculations

For Students 7th - 8th
In this accuracy of calculations activity, students solve and complete 4 different types of problems. First, they estimate the solution of the calculations shown. Then, students find the maximum and minimum possible values for each...
Worksheet
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Statistics

For Students 7th
In this statistics worksheet, 7th graders solve and complete 5 different problems related to determining various statistics. First, they find the average of a given set of numbers. Then, students find the median and mode of each set of...
Worksheet
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Scatterplots

For Students 9th
For this scatterplots worksheet, 9th graders solve and complete 6 different word problems with different sets of data. First, they sort the data set in increasing order and find the minimum, first quartile, median, third quartile, and...
Lesson Plan
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The Corner Problem

For Teachers 11th - Higher Ed
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...
Worksheet
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AP Calculus Practice Exam

For Students 11th - 12th
For this Calculus worksheet, learners 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...
Worksheet
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Multivariable Optimization

For Students Higher Ed
In this multivariable optimization learning exercise, 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...
Worksheet
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Mathematics of Image Processing

For Students 10th - 11th
In this mathematics of image processing worksheet, students solve 10 various types of problems related to image processing on a computer. They type in all the commands listed and figure out what is going on. Then, students determine the...
Worksheet
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AP Calculus Practice Exam

For Students 11th - 12th
In this Calculus learning exercise, 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...
Lesson Plan
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WW II Magazine

For Teachers 11th
Eleventh graders search the database for pictures of WW II, photographs, posters, etc. They use the documents to support writing two magazine articles. The magazine articles be a minimum of 500 and maximum 1000 words.
Lesson Plan
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Heating the Atmosphere

For Teachers 5th - 8th
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.
Worksheet
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Math 155: Worksheet 12. Functions & Intervals

For Students Higher Ed
In this function worksheet, students identify all numbers in the interval. They determine open intervals, find the local maximum and local minimum. This two-page worksheet contains eight problems.
Worksheet
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Functions of Two Variables

For Students Higher Ed
In this function of two variables learning exercise, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
Lesson Plan
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Application of Parabolas

For Teachers 7th - 9th
Students graph quadratic equations. In this algebra lesson, students relate the parabola to real life applications. They identify the maximum and minimum of the parabola.
Lesson Plan
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Price Controls: Prescribed Drugs in North America

For Teachers 9th - 12th
Students examine the nature of price controls, the impact of maximum prices below the equilibrium level on a market, the effect it can have on other markets, the requirements for effective price discrimination in a market, and the price...
Worksheet
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Applications of Derivatives: Concavity and Optimization

For Students Higher Ed
In 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...
Lesson Plan
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Creating a Structure Lab

For Teachers 6th - 8th
Students construct a paper structure that supports a standard hard cover textbook at least 12 inches above a flat sturdy surface for a minimum of 30 seconds. They explain what a blueprint is. Students build the structure entirely out of...
Lesson Plan
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Equilibrium, Enthalpy and Entropy

For Teachers 10th - Higher Ed
In this chemical reactions worksheet, students determine what is true about a system at equilibrium and give examples of macroscopic properties. Students determine minimum enthalpy and maximum entropy for reactions. This worksheet has 2...
Worksheet
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Multivariable Calculus Quiz 7

For Students 11th - Higher Ed
In this math activity, students practice using the concept of multivariable optimization. They find the maximum and minimum values of the surface z.
Worksheet
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Inequalities

For Students 9th
In this inequalities worksheet, 9th graders solve and complete 18 different types of problems. First, they use systems of 2 equations/2 unknowns to solve each word problem shown. Then, students graph each and identify the vertex plus 2...
Assessment
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Cumulative Frequency and Box Plots

For Students 9th - 12th
Learn how to display data. Young data analysts watch a video to review how to create cumulative frequency histograms and box plots. They work on a set of questions to practice producing these data displays.  

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