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The Corner Problem

For Teachers 11th - Higher Ed
Students explore the concept of the corner problem. For 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
In this Calculus activity, 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. ...
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Relative Humidity & Dew Point

For Teachers 10th - 12th
Students use a 24-hour graph of air temperature, relative humidity, and dew point to describe at least one reason why the variables change (or don't change) during the day. They use given scenarios to identify and describe the problems...
Worksheet
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Functions of Two Variables

For Students Higher Ed
In this function of two variables worksheet, 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...
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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...
Worksheet
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Applications of Derivatives: Concavity and Optimization

For Students Higher Ed
In this derivatives instructional activity, 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...
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A.P. Calculus Practice Exam AB Version- Section I- Part B

For Students 11th - Higher Ed
In this A. P. Calculus AB instructional activity, students solve seventeen multiple-choice problems with a graphing calculator.  This instructional activity is designed as a practice test for the A.P. Exam and should be timed.
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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.
Worksheet
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Math 155: Worksheet 12. Functions & Intervals

For Students Higher Ed
In this function instructional activity, students identify all numbers in the interval. They determine open intervals, find the local maximum and local minimum. This two-page instructional activity contains eight problems.
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Heating the Atmosphere

For Teachers 5th - 8th
Learners 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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Worksheet 22-Fall 1995

For Students 11th - Higher Ed
In this math worksheet, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.
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Inequalities

For Students 9th
In this inequalities instructional activity, 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...
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Find the Average Value of a Function

For Students 11th
In this calculus worksheet, 11th graders calculate the average value of a function. They find the line tangent to a curve and graph the equation. There are 15 questions.
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Algebra 2 - Linear Programming

For Teachers 10th - 11th
Students read real world problems, determine the variables, and set up the function using algebraic statements. After entering data into the graphing calculator, they display information in the form of graphs and scatter plots. ...
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Functional Analysis

For Teachers 9th - 10th
Students perform functional analysis. In this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
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Polynomial Functions

For Students 11th
In this Algebra II worksheet, 11th graders use a graphing calculator to determine the regression equation of the given data, graph polynomial functions, factor polynomials, and determine the quotient and remainder in polynomial division....
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Model Data with Quadratic Functions

For Teachers 8th - 11th
Learners model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
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Collecting And Fitting Quadratic Data

For Teachers 9th - 12th
High schoolers investigate the concept of using quadratic data to plot coordinates on a plane. They also apply the quadratic formula for a variety of problems with the help of a graphing calculator to draw the parabola for given...
Lesson Plan
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ExplorA-Pond:4th Grade Surface Area

For Teachers 4th
Fourth graders estimate the surface area of a pond using the chance method and the estimation method. They complete a graph and a short report comparing the results of the two methods.
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Intervals

For Students 11th - Higher Ed
In this intervals instructional activity, students solve and complete 8 various types of problems. First, they find the intervals of x for each curve. Then, students sketch a graph of each showing all maximum and minimum points and all...
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Parabolas

For Teachers 9th - 11th
In this Algebra I/Algebra II worksheet, students identify the vertex and the axis of symmetry of a parabola, given the equation.  The two page worksheet contains a combination of ten multiple choice and free response...
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Baseball Statistics

For Teachers 11th - 12th
Students take an in depth examine baseball record breakers. They calculate statistics, not just for one year, but over whole careers, to compare some famous players and find who was the best all-time home run hitter.
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TOPSY TURVY MAPS

For Teachers 8th
Eighth graders use the data analyzer and motion detector to collect data and measure distances. They create topographic maps drawn to scale of a given setup and relate the concepts to the creation of historical ocean maps.
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US Historical Climate: Excel Statistical

For Teachers 11th - Higher Ed
Students import US Historical Climate Network mean temperature data into Excel from a station of their choice. They are guided through the activity on how to use Excel for statistical calculations, graphing, and linear trend estimates.