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Splitting the Penstock
Students investigate the best way to calculate the measurements of an area. In this geometry activity, students relate a large circle to a cylinder and its measurements. They use PVC pipes to gain hands on experience as they calculate...
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Box It Up
Students calculate the surface area of prisms. In this geometry lesson, students investigate the properties of prisms and analyze ways to calculate the are of a rectangular prism. They derive the formula for surface area.
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Volume and Surface Area
Students explore volume and surface area. In this math instructional activity, students fill boxes with cubes to identify the volume of the boxes. Students discuss area.
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Square Roots Using a Carpenter's Square
Students calculate the square root of a given number using carpenter's square measurements. In this math lesson plan, students relate this method on the Pythagorean theorem. They answer practice problems after the exploration activity,
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What is Happening?
Review area, perimeter and volume using this lesson. After reviewing key vocabulary relating to these concepts and answering story problems, learners compute the perimeter, area, surface area, and volume of five storage boxes.
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Geometric Pictures of One Half
A learning task that involves creative ways of thinking permits children to use paper models as a way to visualize the fraction one-half. Learners can fold or cut their models in such a way that the unshaded regions, and shaded regions...
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
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Learning by Logic - Total Surface Area
Geometers calculate the area of plane surfaces using the formulas for the area of a square, rectangle, and triangle. They develop the formula for calculating the total surface area of two geometric solids: the cube and rectangular prism.
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Graph Paper Patterns
Young artists divide a piece of graph paper into sections using rectangles, squares, and triangles. They then fill each section with patterns of shape and color. Elementary graders describe how their patterns are organized. Secondary...
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Measure: Bearings and Scale Drawings
Young mathematicians practice measuring acurately with a protractor. They convert measurements using a scale factor, then translate the new information into diagrams. This lesson should be a hit in that it's mostly hands-on work with the...
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The Pythagorean Theorem Lesson 2
Learners discuss and review examples of the Pythagorean Theorem using a GSP, Geometer's Sketchpad, activity.
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Ruler and Compass Constructions
Fourth and fifth graders examine how to construct perpendicular lines and to bisect angles using rulers and compasses in this unit of lessons. They design a number of polygons using these methods.
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Garden Variety Geometry
A home improvement plan can help adult learners preparation for the GED exam. They review vocabulary, prepare diagrams, complete a worksheet, calculate perimeters and analyze how to approach a story problem. They identify many geometry...
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Exploring Perimeter
Students explore perimeter. In this geometry and measurement lesson, students create squares and rectangles using given perimeters. Students construct four sided shapes with given perimeters using the computer program "Math Keys:...
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Exploring the Definition of Reflection
Students practice using a protractor and ruler to draw various points and lines. Using a computer, they draw the points and lines in the program and describe the differences between their drawing and the computer's drawing. They complete...
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Vectors: How Much Force Can You Apply
This activity entails the viewing of two videos to get an overview of force and its application. The activity covers how vectors use force in real-world situations.
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The Right Stuff
Studentsare introduced to the Pythagorean Theorem by exploring right triangles and the squares built on each side. They apply the Pythagorean Theorem to real-world problems. Students u se informal and nonformal arguments of proof (i.e.,...
Earth Day
Introduction To Scale Drawings
Real-life math is really great! In groups, learners measure objects in the classroom. After comparing measurements, they determine a scale and create a blueprint of the classroom. They discuss the purpose of using scale drawings in...
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Volume of Rectangular Prism and Cylinder
Learners calculate volume of rectangular prisms and cylinders. They draw and label figures to use the formulas to calculate the volume of rectangular prisms. In addition, they use objects to calculate volume in a hands on activity.
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Transformations Worksheet
Use this transformations learning exercise to have learners describe given transformations. They identify rotations, reflections, and congruent images. This two-page learning exercise contains three multi-step problems.
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Worksheet 25 - Chain Rule
In this chain rule worksheet, students use the chain rule and substitution to find partial derivatives. They identify total surface area, and find the distance from the origin to the plane. This one-page worksheet contains seven...
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Worksheet 26 - Function
In this function worksheet, students identify the local maximum and minimum values and angle dimensions. This one-page worksheet contains six multi-step problems.
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Worksheet 21 - Vector
In this vector worksheet students find the geometric interpretation of the change in a vector. They identify vector fields for specified functions. This two-page worksheet contains five multi-step problems.
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Worksheet 14 - Rates
In this rate worksheet, students draw and label given situations, determine the rates and the relationship between them. This two-page worksheet contains 7 multi-step problems.
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