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Purdue University

Plastic Water Bottle Design – What’s the Best Shape?

For Teachers 6th Standards
Join the fight to reduce plastic waste. A hands-on STEM activity first teaches scholars about the scourge of plastic waste. They then measure the dimensions of water bottles to calculate surface areas and volumes before using the surface...
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Lesson Plan
Curated OER

Geometry, Measurement & Reasoning

For Teachers 7th - 9th
Students measure prisms and determine their volume. In this measurement and reasoning activity, students estimate the volume and area of prisms. They measure given boxes. Students use paper to create prisms and cylinders. They determine...
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Lesson Plan
Curated OER

New Boxes From Old

For Teachers 6th - 8th
Students find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new, cube-shaped box...
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Lesson Plan
Curated OER

NetsS.A. of Prisms

For Teachers 10th - 12th
Young scholars build nets of three-dimensional prisms based on the dimensions they are given for hexagonal prism, triangular prism, rectangular prism. Working in groups, they use their prisms and calculate the Surface Area and Lateral Area.
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Lesson Plan
Curated OER

Chemical Reaction Rates

For Teachers 9th - 12th
High schoolers observe demonstrations to show factors that affect rates of chemical reactions. For this rates of chemical reactions lesson, students investigate how catalysts, reactant concentrations, temperature and surface area affect...
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Lesson Plan
Teach Engineering

Penny Perfect Properties (Solid-Liquid Interations)

For Teachers 7th - 12th Standards
I can get more water to stay on a penny than you can! Collaborative pairs determine the volume of liquids that can be contained on the surface of copper pennies and plastic coins. The pairs analyze their results using graphs and go on to...
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Lesson Plan
Mathematics Assessment Project

Evaluating Statements About Enlargements

For Teachers 9th - 12th Standards
Double, toil ,and double linear dimensions. Learners first complete an assessment investigating how doubling linear dimensions affects the area of pizzas and the volume of popcorn containers. They then complete an activity investigating...
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Lesson Plan
Curated OER

Volume of Spheres

For Teachers 9th - 12th
Students find the volume of spheres. In this geometry lesson, students measure and derive the formula for each shape and solid. They use the correct terminology and units when solving these problems.
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Lesson Plan
Curated OER

Radius, Diameter and Area

For Teachers 8th - 9th
Students identify the radius and diameter of a circle. In this geometry lesson, students calculate the volume and area of a cylinder and circle. They relate the circumference of a circle to Pi.
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Lesson Plan
Utah Education Network (UEN)

Candies R Us

For Teachers 5th - 6th Standards
A box is fun to make, especially when it's a candy box! These activities help to cement understanding of the difference between surface area and volume. Have individuals measure the surface area of their box in two-dimensions before...
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Lesson Plan
Curated OER

Measurement: Volume

For Teachers 6th
Sixth graders determine how to find the volume of a box. In this volume lesson, 6th graders participate in a lesson in which the teacher uses the associated study guide to explain how to find the volume of a cubic figure. They use boxes...
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Lesson Plan
Curated OER

Which container holds a larger amount of popcorn?

For Teachers 6th - 7th
What does popcorn have to do with math?  Seventh grade mathematicians are provided an opportunity to develop a conceptual understanding of the formula for volume and to use it as a tool to solve problems. The lesson begins with a...
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Lesson Plan
Virginia Department of Education

Similar Solids and Proportional Reasoning

For Teachers 9th - 11th
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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Lesson Plan
Shodor Education Foundation

Volume of Prisms

For Teachers 7th - 10th Standards
Explore the concept of volume of prisms using an applet to perform the calculations. The link to the interactive applet is embedded into the lesson plan as well as a link to associated data sheets. Get your math class to the computer lab...
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Lesson Plan
Curated OER

Finding the Area & Volume of Buildings Using Architectural Drawings

For Teachers 5th
Fifth graders find the area and volume of buildings. In this architecture lesson, 5th graders look at the drawings of three historic Tennessee buildings. They use these to help find the area and volume of the building. 
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Lesson Plan
Curated OER

Exploring Volume of Cylinders

For Teachers 10th
Tenth graders investigate the volume of a cylinder.  In this geometry lesson, 10th graders create three-dimensional cylinders and use a ruler to determine the dimensions.  The lesson progresses to the use of the formula to find the...
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Lesson Plan
Curated OER

Surface Tension and 3D Soap Films

For Teachers 7th - 8th
Students are introduced to the concept of surface tension, its dependence on material composition, and how it can produce uniquely shaped surfaces.
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Lesson Plan
Curated OER

Area and Perimeter Relationships

For Teachers 6th
Sixth graders explore the relationship between area and perimeter. After discovering the definition of perimeter, 6th graders work together to create designs for a flower bed. They observe that the perimeter remains constant even...
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Lesson Plan
Curated OER

Cap-It to the Max

For Teachers 8th
Eighth graders compare the volume of three cylinders constructed from the same size sheet of paper. They use concrete and graphical models to derive formulas for finding perimeter, circumference, area, and volume of two and three...
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Lesson Plan
Curated OER

Measurement

For Teachers 6th - 8th
Students create two prisms out of the same paper. They calcuate the number of centimeter cubes needed to fill each prism. They discover the concept of volume.
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Lesson Plan
Curated OER

Pacing a Gunther Chain

For Teachers 3rd - 5th
Students pace a Gunther Chain, a measurement used by foresters to determine distance and area. They discuss that pacing is individualized depending on age, gender, etc. They practice to find an average pace. Teams estimate, pace and...
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Lesson Plan
Mathematics Assessment Project

Estimating Volume: The Money Munchers

For Teachers 7th Standards
Don't stuff money under your mattress. To find out why learners first complete a task determining how $24,000 in cash would affect the height of a mattress and whether this same amount would fit into a suitcase of given dimensions. They...
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Lesson Plan
Curated OER

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 instructional activity, 7th graders complete several activities to learn the volume and surface area of cylinders.
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Lesson Plan
Curated OER

Surface Area and Volume of a Cube

For Teachers 7th - 12th
Students explore finding the surface area and volume of cubes and cylinders. They construct similar three-dimensional figures from a two-dimensional drawing. Students derive the formula for volume and surface area through examination...

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