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Measuring with Mathematics
Eighth graders discover how the change in the dimensions of a shape cause a change in the overall area of the shape, but the perimeter stay the same. They, in groups, go out to the playground and construct large areas using stakes and rope.
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A4 Containers
Fifth graders determine which container made from a single sheet of paper has the greatest volume. They look the solutions made by three different students before working on their own examples.
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Triangle Explorer
Students calculate the area of triangles using a variety of materials including computer applets.
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Geoboard Area
Students 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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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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Million Dollar Gift
Third graders create a box big enough to hold a million dollars. This is a project fun to do near the winter holidays with inexpensive gifts included in the boxes. This hands-on lesson very effectively demonstrates the concept of volume.
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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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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.
Mathematics Assessment Project
Optimizing Coverage: Security Cameras
Are you being watched? Class members determine where to place security cameras protecting a shop. They then evaluate their own and several provided solutions.
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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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Prints and Outlines
Young scholars 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...
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Math: Equal Area Triangles
Students 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...
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Geometry and Spatial Sense
Students investigate geometric shapes in 2 and 3 dimensions. In this geometry lesson, students create a model chocolate factory working in groups and using an actual cake. Students take a quiz about measurement equations dealing with...
Willow Tree
Measurement
Build a basic understanding of units of measure and create a great foundation for your learners. The lesson gives a complete overview of everything measurement, from types of measurement to rounding to conversions — it has it all!
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Team Apollo
Seventh graders brainstorm about problems with a school track. They research different possibilities for a solution. They test different track materials with erosion, durability, abrasiveness and resiliency. They determine the area,...
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Water Monitoring Vocabulary
As the title implies, this is a list of vocabulary terms relating to water monitoring. If your ecology class is learning about how to test water quality, this will be an appropriate reference sheet for them. As a bonus, if you live in...
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Penny's Box
Students need to be able to calculate the volume and surface area of a cuboid as well as present a systematic list of results in order to justify the minimum case. The use of three factors of 100 is also important.
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New Boxes from Old
Ninth graders take a rectangular box (e.g., a cereal box) and cut it up to make a new, cubical box with the same volume as the original. In so doing, they will discover that because the cubical box has less surface area than the...
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Animal Skin
Students investigate the skin surface to body area ratios for different animals. In this seventh/eighth grade mathematics/science lesson, students explore heat transfer between an animal’s body and the environment. Using technology,...
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Water Treatment Plant Tour
Students define vocabulary related to geometry and calculate the volume. In this geometry lesson, students calculate flow rates, and volume as it relates to a water plant facility. They calculate the volume of three dimensional shapes...
Techbridge Curriculum
Calculating Rainwater Runoff
Thirsty plants soak up every bit of a rainfall, but what happens to the rain that hits the roof? Calculate the amount of rainwater from your school's roof with an Earth science activity, which brings measurement skills, observation...
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The Amazing Mathematical Race: Boxing the Rare Element
Students enter a race against time to determine the maximum sized box that can be formed from a standard sheet of copy paper. The boxes are to be used to contain a valuable and rare element which is light as cotton and corrosive to all...
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Design-a-Lesson-Packaging a Product
Students 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 and to...
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How Big is a Molecule?
Students calculate the size of a molecule. In this molecules and their sizes lesson plan, students find the size of an oleic acid molecule by using a measured amount of drops of oleic acid to find the volume of the sample, the thickness...
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