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DENSITIES OF REGULARLY SHAPED SOLIDS
Students calculate the volumes of regularly shaped objects from measurements of their dimensions. They use several formulas and measure different objects to calculate the density, volume, and mass of the objects selected or assigned.
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Finding our way
Tenth graders investigate the use of a GPS. In this math lesson, the students will use a GPS type system to determine positioning in two dimensions. They will complete questions out of a student workbook.
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Properties of Fractals
Pupils build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using logs.
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Area graphics for 7th graders
Students randomly select dimensions for three geometric shapes (square, right triangle and circle). From the graphs they compare and contrast the graphical results of each shape.
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Where in the World?
Students explore how GPS works, the mathematics behind the technology, and how GPS is used. They find positions in one and two dimensions, and participate in a WebQuest that explores how math is used to find a location on Earth using GPS.
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Lesson- Infinite Potential Well
Student create a numerical model which integrates Schrodinger's equation in 1 dimension. They discuss the properties of the solutions which match the boundary conditions. Student discusss any limitations if there are any in there model.
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Properties of Fractals
Students build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by trial...
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Prime and Composite Numbers
Sixth graders inspect prime and composite numbers. Using graph paper, they draw as many different shaped rectangles as possible. They use the dimensions of the rectangles to discuss prime and composite numbers. Students create a chart...
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Self Portraits
Student pictures are taken with a digital camera. The picture is opened on the computer, and selected. On the computer, the image is cloned, and traced (using the computer, not a "real" pencil). Students discuss how well the "average...
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Play Ball
Students calculate baseball statistics and ball field dimensions. In this Pythagorean Theorem, percentages and metric conversion lesson, students are given formulas to find earned run and batting averages for White Sox baseball players....
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13 Ways to Tell Time Backwards
Students explore different ways geological time can be measured: comparing the time dimensions for each method, the mechanisms of each method, and the materials used.
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Cast of characters -- Lost in Space Lesson
Students examine how artists use the picture plane to depict two and three dimensions. They view online images, discuss how space is used to depict three-dimensional space, and create a painting.
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Create a Full-Scale Layout of the International Space Station
Students work together to convert scale dimensions to determine the true size of the International Space Station. They create a full-scale outline of the station. They share their layout with the class.
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Irregular Fractals
Middle schoolers study and research irregular fractals and construct a few based on their research. Students practice pattern recognition skills and plane geometry skills calculating dimensions on the Fractured Pictures activity.
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Sports Bag
Young scholars determine an efficient layout of the pattern pieces needed to make a sports bag with given dimensions and specifications. Given a word problem, data set and a diagram, students evaluate the information they have available...
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The Effects on Flight Characteristics/Performance Due To Variations in Design of Sled Kites.
Young scholars expand upon previous lessons with sled kites by varying the dimensions or materials while building a news sled kite while working in a team. They fly their original kites and the new ones under similar conditions to...
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Learning About Japan Through Its Kites--Intermediate
Learners read various readings on two kit making sessions. They locate places and human spatial patterns using a map. Students design in two dimensions using line to create details.
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Running with Momentum
Students discuss the conservation of momentum in a collision between two bumper cars and an explosion between a bullet and the rifle's kickback, as well as collisions occurring in 2 dimensions and how they are all expressed mathematically.
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Emily Dickinson: Luminous Letters
Young scholars analyze the dimensions of Emily Dickinson's poetry and persona. For this Emily Dickinson lesson, students read the example letters and analyze a chart of the poems. Young scholars present their findings from the poems in a...
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Silly Science
In this science worksheet, students use the dichotomous key to identify common objects listed on the sheet. Then they write the scientific name of each object.
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New Visions of the World
Students explore the art of Kazimir Malevich and Piet Mondrian as an analysis of abstract painting. In this abstract painting lesson, students explore the painting style of the two artists. Students analyze the use of shape, line,...
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Shaping Ideas: Symbolism in Sculpture
Students consider the ways that sculptors have represented concepts and ideals as symbolic forms in three dimensions. They compare historical examples to those in contemporary culture, and begin sketching designs for their own symbolic...
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Space Ship Pilot
Students visualize the relation between acceleration and velocity in 2 dimensions. They are introduced to Newton's first law,and Newton's second law. Students work on an exploration activity where they condsider an example of a...
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Diagonals and Altitudes
Students discover the mathematical way to find the dimensions of a diagonal. Using this process, they complete a worksheet in which they identify the relationships between different degree triangles. They review their answers and are...
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