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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.
Improving Measurement and Geometry in Elementary Schools
The Sum of the Interior Angles of a Polygon
Junior geometers discover that polygons can be decomposed into triangles and that the number of triangles can be determined by a rule. Note that the Geometer’s Sketchpad® software is required to carry out all components of this...
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Chemical Wonders
Students read about and discuss how chemical engineers use different states of matter to create substances. In this chemical engineering lesson plan, students also give examples of the 3 kinds of matter.
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A Special Relationship
Students discover the relationships of the lengths of the sides of right triangles and right triangles using a series of drawings on dot paper. They investigate and solve problems of standard (customary and metric units) and non-standard...
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Optional Laboratory: Forest Volume Cruise
Students 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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Air Expansion and Contraction
Young scholars observe that air exerts pressure, that heated air expands and that cooled air contracts. After the demonstration, students engage in a question and answer session about what they saw.
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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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Insects and Spiders
Students make either and insect or a spider using materials their teacher provides. They then draw of picture of their organism and defend why it is either a spider or an insect.
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Wind, Pressure, Force, Calculus and Engineering Connections
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.
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Tiling the Plane
Fifth graders use pattern blocks and triagular grid paper to reivew shape names, be introduced to the concept of a tiling of the plane, and determine which pattern blocks tile the plane. They are asked if they comprehend what a...
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The Whiskey Rebellion and the New American Republic
Students examine the implications of the passage of the Whiskey Tax of 1791. In this Whiskey Rebellion instructional activity, students listen to their instructor present a lecture regarding the details of the rebellion. Students respond...
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Design an Apartment
Young scholars are given the task of designing an apartment. In groups, they practice estimating the area and perimeter of different shapes. After designing their space, they apply the same formulas to solving real-world story problems.
Pennsylvania Department of Education
A Geometric Scavenger Hunt
Fifth graders connect their knowledge of polygons and polyhedrons. For this geometric shapes lesson, 5th graders identify and classify two- and three-dimensional objects. Students construct a polyhedron out of polygons and describe their...
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Traditional American Indian Lodges
Students explore the mathematical properties of traditional American Indian lodges. They examine the effect of increasing sides of a polygon, calculate the surface area of prisms and cylinders, and construct a classroom size pyramid...
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Baseball Geometry
Middle schoolers apply various methods for finding the volume and surface area of sphere. They compare and contrast results among these mathematical methods. They work in cooperative groups to discuss their results with one another.
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Quadrilaterals
In this geometry worksheet, 10th graders solve problems with quadrilaterals. They calculate the sum of the angles, find missing angles and identify properties of quadrilaterals. There are 16 questions with an answer key.
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Ratios of Similar Figures
Students identify the ratios of different triangles. In this geometry lesson plan, students identify the similarity and differences of triangles. They use the navigator to move the sides of the triangle around.
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Congruent Trianges - Is This Enough Information?
Seventh graders determine whether two triangles are congruent and provide an explanation to why they are not. They apply concepts of measurement of angles and collect evidence of congruent angles in the world.
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Making Change
Second graders explore how to incorporate a new type of technology, the cash register and/or a calculator, as a motivational tool for solving real life problems. They practice estimating money and counting back change from $20.00.
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Geometric Angles
Students explore angles and their use in Geometry. Students investigate three different kinds of angles: obtuse, acute, and right angles through an online activity. They identify pairs of angles with special relationships: vertical,...
Mathematics Assessment Project
Applying Angle Theorems
Polygon ... an empty bird cage? After finding the angles of a polygon, young mathematicians use the provided methods to solve the problem in multiple ways.
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Naming Geometric Shapes
Name that shape! This simple worksheet has learners identify each geometric figure. They examine rectangular prisms, cylinders, rectangular pyramids, and hexagonal prisms. This one-page worksheet contains 8 problems, and the goals seems...
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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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