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The Calculus Whiz Who Owned a Box Company

For Teachers 10th - 12th
Students use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
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Cut It Out!

For Teachers 8th - 11th
Learners calculate the surface area of polygons. In this geometry lesson, students use spacial reasoning to find the answer to their problem. They analyze solids and create formulas to estimate the measurements of the area.
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Bubbles Everywhere!

For Teachers 8th
Eighth graders use concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two- and three-dimensional shapes. This activity is a fun way to practice measurement and circle...
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Rectangular Prisms (D)

For Students 7th
In this volume and surface area worksheet, 7th graders find the volume and surface area for the rectangular prisms. Students solve 3 problems.
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Triangles

For Students 10th
In this triangles worksheet, 10th graders solve 10 different problems that include determining the measurement of various angles. First, they determine the area of a triangle illustrated on the sheet. Then, students use the picture to...
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Functions

For Students 10th
In this functions activity, 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...
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Rectangular Prisms (H)

For Students 7th
In this rectangular prisms worksheet, 7th graders find the volume and surface area of the rectangular prisms. Students solve 3 rectangular prisms problems.
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Rectangular Prisms (E)

For Students 6th - 8th
For this rectangular prisms worksheet, students find the volume and surface area for the rectangular prisms. Students solve 3 problems.
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Rectangular Prisms (I)

For Students 5th - 7th
In this rectangular prisms worksheet, students find the volume and surface area for the rectangular prisms. Students solve 3 problems.
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Worksheet 5

For Students 11th - Higher Ed
In this math worksheet, students describe how to define surface area given a variety of situations from word problems. They solve for the volume using calculus.
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Color Your World

For Teachers 6th - 8th
Students calculate the cost of painting a room. In 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 costs are...
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Geometry Institute Lesson

For Teachers 6th - 8th
Students practice geometry skills. In this geometry lesson, students find the surface area of cubes and prisms, identify shapes on solids, and distinguish between 2-dimensional objects and solids.
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Similarity of Length, Area, and Volume

For Students 9th - 11th
In this similarity worksheet, students determine the length, area and volume of similar figures. This three-page worksheet contains explanations, examples, and 20 problems. Answers are provided on page three.
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Study Buddies: Explore - Area

For Teachers 2nd - 3rd
In this math worksheet, students will work with a coach to find the total area of a tree-house. Students will follow a step-by-step process and notes are provided for the coach.
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Surface Area of Cubes and Rectangular Prisms

For Teachers 8th
Eighth graders calculate surface area of 3-D shapes. In this geometry lesson, 8th graders analyze cubes and prisms by finding their area and surface area. They compare the data of these two shapes.
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Area Explorations

For Teachers 7th - 8th
Learners explore the concept of area. In this area lesson, students find the area of irregular shapes with right angles. Learners break down each irregular shape into multiple regular shapes in order to find the area. Students...
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Prisms and Pyramids Homework

For Students 8th - 10th
In this surface area and volume of prisms activity, students identify the requested measurement of each of 10 geometric shapes. The first two shapes are rectangular prisms, students tell surface area and volume. The next three shapes ask...
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Pooling Around

For Teachers 8th - 9th
Students complete a unit of lessons on computing area and volume. They play a Jeopardy game of basic area formulas, calculate surface area of shapes, develop a Powerpoint presentation, and conduct a simulation of finding the surface area...
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Complex Figures

For Students 4th - 6th
In this complex figure activity, students find the length, height, perimeter, and surface area of the complex figure. Students complete 4 problems.
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Chapter 6: Geometry Perimeter and Area

For Students 10th - 12th
In this perimeter and area learning exercise, students find the perimeter of various polygons.  They compute the perimeter, surface area, circumference, and volume of given figures.  Students explore trigonometric ratios. ...
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Surface Area and Volume of a Cylinder

For Teachers 7th
Seventh graders find the surface area and volume of a cylinder. In this area and volume lesson, 7th graders complete several activities to learn the volume and surface area of cylinders.
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Tools for Integrating Math and Engineering: Weighin' In

For Teachers 7th - 12th
Students collect and analyze data on a fictional cereal company's products. In this measurement lesson, students collect data from cereal boxes (weight, volume, surface area, etc.) to determine if the boxes labels correctly inform...
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Exploring Number and Operation in Secondary Mathematics

For Teachers 5th - 8th
Young geometers need a clear understanding of perimeter, volume, and area. This lesson provides a worksheet to help small groups of learners to calculate various measurements of objects and choose the proper units for measurement. It...
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Inquiry Unit: Modeling Maximums and Minimums

For Teachers 8th - 12th
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and  plot width v. area on a...

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