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Optimizing Perimeter and Area

For Students 6th - 8th
In this math worksheet, students examine the possible dimensions to construct two different fences. They try to maximize the area for the best value of space.
Worksheet
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Squares

For Students 10th
For this squares worksheet, 10th graders solve and complete 7 various types of problems. First, they divide a product of one with a square of the other. Then, students find the dimensions of a rectangle that will maximize the area. In...
Lesson Plan
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Health Styles

For Teachers 7th - 8th
Students define and compare health terms. They estimate a person's health status on each dimension of health. They describe the major determinants of health.
Lesson Plan
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Wave Equations

For Teachers Higher Ed
Students manipulate a model of a wave in order to solve the wave equation in 1 dimension. By using a model of a wave on a string the student is able to change the tension, length, and mass of the string as well as fix either end of the...
Worksheet
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Functions

For Students 10th
For this functions worksheet, 10th graders solve and complete 6 different types of problems. First, they find the largest value of a given function. Then, students determine the values of the constants a, b, c, dso that the curve is a...
Worksheet
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Area Problems

For Students 4th - 6th
In this area worksheet, students find the area of 3 given figures, then fill in missing dimensions in 3 additional figures. Answers included on page 2.
Lesson Plan
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Building With Triangles

For Teachers 4th
Fourth graders use two different techniques to construct triangles with specific dimensions. They determine how to construct nets for three-dimensional objects focusing on those made with equilateral triangles. They are able to name the...
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...
Worksheet
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Chapter 8 Worksheet 2 Area of Polygons

For Students 7th - 12th
In this area of polygons learning exercise, students compute the area of squares, rectangles, triangles, trapezoids and parallelograms. Given the area of polygons, students determine the missing dimension of the figure. This two-page...
Lesson Plan
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Color Your World

For Teachers 6th - 8th
Young scholars calculate the cost of painting a room. For this surface area lesson, students create a scale model from provided dimensions of a bedroom. Groups use area formulas to find square footage, from which materials and labor...
Lesson Plan
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Volumes of Prisms and Cylinders

For Teachers 8th - 10th
Learners calculate the volume of prisms and cylinders. In this geometry lesson, students are give part of the formula, and must calculate the missing parts. They use 80% accuracy for their dimensions.
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Projectiles

For Teachers 12th
Twelfth graders investigate the factors that affect a projectile using computer simulation. In this physics lesson, 12th graders watch a video about the topic and complete the worksheet package that follows. They post answers to certain...
Lesson Plan
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What are Fractals?

For Teachers 6th - 12th
Middle and high schoolers identify and analyze fractals and research information using the Internet to locate information about them. They look at fractals in relation to nature and other real world situations. Pupils create several...
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Teach Engineering

Identifying Possible Underground Cavern Locations

For Teachers 6th - 8th Standards
Teams continue with the Asteroid Impact challenge and determine possible locations to construct their underground shelters. Participants cut scale area models of their shelters from paper and place them on the map to find locations...
Lesson Plan
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Sphere Dressing

For Students 7th - 10th Standards
Geometric design makes a fashion statement! Challenge learners to design a hat to fit a Styrofoam model. Specifications are clear and pupils use concepts related to three-dimensional objects including volume of irregular shapes and...
Lesson Plan
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How Many Trees Can You Grow?

For Teachers 6th - 12th
Students solve a story problem about how many trees can be planted in a given area. Using a map, they gather information about the size of the area and the dimensions of an acre. They use a specific equation to determine the area of...
Worksheet
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Rotational Symmetry

For Students 3rd - 5th
In this math worksheet, students examine the shapes given in two dimensions. They determine which ones are symmetrical to each other.
Lesson Plan
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Measuring with Mathematics

For Teachers 8th
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.
Lesson Plan
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DENSITIES OF REGULARLY SHAPED SOLIDS

For Teachers 6th - 8th
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.
Lesson Plan
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Properties of Fractals

For Teachers All
Students 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...
Lesson Plan
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Lesson- Infinite Potential Well

For Teachers Higher Ed
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.
Lesson Plan
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13 Ways to Tell Time Backwards

For Teachers 7th - 12th
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.
Lesson Plan
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Geo Jammin' - Day 5, Lesson 18: By George!

For Teachers 2nd - 5th
Students handle geometric shape puppets and answer specific questions about dimension. They write from the shape's point of view comparing themselves to everyday objects.
Lesson Plan
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Space Ship Pilot

For Teachers 9th - 12th
Learners 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...