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Area of Parallelograms
Seventh graders review the process of finding the area of a rectangle and complete a couple of examples as a class. They discuss what a parallelogram is and what the formula would be for finding its area. They listen to an explanation...
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Karen's Tiles
Students investigate how perimeter changes as area changes to see the relation between area and perimeter for similar shapes. They then students answer the question if the area of the rectangle increase, does its perimeter have to increase?
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Prints and Outlines
Learners determine the area of two objects by superimposing one on the other. They compare and order the area of different shapes by covering a larger shape with similar smaller ones. They complete these activities as different stations.
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How Big is a Crowd?
Sixth graders compare the relative sizes of the five Great Lakes and their human populations. They describe some of the problems that arise when many people depend on a limited resoure. Students discuss how the Great Lakes and the...
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Year Book Page Special Shape Collage
Students design a collage of pictures for a yearbook that make a shape. They determine the area of the shape and the price of putting the collage in the yearbook.
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Square Pegs in Round Holes
Sixth graders problem solve the square peg in the round whole problem by applying knowledge of the formulas for the areas of the circle and the square. They decide on a problem solving strategy based on logical reasoning.
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The Calculus Whiz Who Loved Candy
Students develop an equation for finding the volume of a commonly known piece of candy (M&M, Hershey's Kiss, Tootsie Roll Pop, Life Saver, etc.) by using calculus.
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AP Calculus Practice Exam
In this Calculus worksheet, 12th graders are provided with practice problems for their exam. Topics covered include limits, derivatives, area bounded by a curve, minimization of cost, and the volume of a solid of revolution. ...
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The Louis Vuitton Project, using 3rd degree equations
Students model three-dimensional objects using cubes. In this geometry lesson, students calculate the volume and derived the amount mathematically. They use different objects to create two and three-dimensional objects.
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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...
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Measurement
Seventh graders measure surface area. In this geometry lesson, 7th graders find the surface area of various geometrical shapes. Using a computer program, students compute the area of 2-D and 3-D shapes. Students use...
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Worksheet 34 - Fall 1995
In this math worksheet, students sketch the finite area whose boundary is composed of pieces of the curves x =1− y 4 and x = y2 − 1.
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Bingo
Learners practice determining the most appropriate units for a given situation while measuring attributes of objects, systems and processes of measurement. They review the concepts of angles, perimeter, area, surface area and volume.
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Modeling Limits To Cell Size
Learners participate in a 'hands-on' activity that simulates the changing relationship of Surface Areas -to- Volume for a growing cell. They assemble models of cells for comparison.
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Linear Systems: Applications of Determinants
In this determinant worksheet, students use determinants to find area and volume. This two-page worksheet contains examples, explanations and four problems.
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Geoboard Area
Young scholars explore the basic geometric shapes and geometric shape vocabulary through the use of geoboards and virtual geoboards. They create a variety of shapes with a partner, build ten different rectangles on their geoboards, and...
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Cylinder: Teacher Notes
Middle schoolers construct a basic cylinder out of a piece of paper, then answer seven questions about their cylinder. Questions have to do with measurement, volume, radius, etc.
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Review Geometric Figures
Youngsters review different geometric figures and shapes. In this geometry lesson, pupils use formulas to calculate area, perimeter, circumference and volume of geometric shapes. They calculate the surface area also.
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Old Glory
Students utilize mathematical concepts such as: measurement, ratio and proportion and geometric probability to analyze the components of the U.S. Flag. They collect, organize and interpret data by constructing charts, tables and graphs...
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Determining Mercantile Volume of a Pine Tree
Fourth graders, acting as foresters, determine timber volumes as sawtimber or pulpwood for marketing. They find the marketable value of a tree using its diameter and volume.
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Optional Laboratory: Forest Volume Cruise
Middle schoolers examine the process in which to complete a forest volume cruise. They practice calculating the amount of lumber per acre of a given area. They share their results with the class.
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Math: Equal Area Triangles
Pupils examine a math worksheet and determine how to divide a single triangle into four of equal area. Using geometric principles, they sketch two additional ways to divide into into four equal triangles. To conclude, students explain...
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Unit Perimeters and Areas
Pupils use Geometers SketchPad to find the area and perimeter of several shapes. In this geometry lesson, students determine area of rectangles and progress through irregular polygons. None of the referenced worksheets are included with...
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Discussion Sheet 10: Improper Integrals
In this improper integral worksheet, students compute improper integrals, they determine finite improper integrals, and find the area of a region bounded by graphs. Students compute the arc length of a curve on the indicated interval. ...
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