Lesson Plan
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Teach Engineering

Floaters and Sinkers

For Teachers 7th - 9th Standards
Whatever floats your boat. Young engineers learn about density by measuring the masses and volumes of boxes filled with different materials. Using their knowledge of densities, they hypothesize whether objects with given densities will...
Lesson Plan
Shodor Education Foundation

Triangle Area

For Teachers 6th - 9th Standards
While the lesson focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in in half; can they...
Lesson Plan
Curated OER

Area, Surface, and Volume

For Teachers 9th
Ninth graders demonstrate application of area, surface, and volume. They apply formulas to a model of the classroom so they can determine the volume and surface area of the classroom.
Lesson Plan
Curated OER

Changing Twines: Exploring Area and Perimeter

For Teachers 3rd
Third graders review formulas for area and perimeter in quadrilaterals. They arrange pre-cut twine on a centimeter graph paper to create non-congruent quadrilaterals. They calculate the perimeter and area of each form.
Lesson Plan
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EngageNY

Definition and Properties of Volume

For Teachers 9th - 10th Standards
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder. 
Worksheet
Curated OER

Area of Regions

For Students 11th - Higher Ed
In this area of regions worksheet, students determine the area of a region enclosed by a graph. They find the volume of a solid and write equations involving an integral expression for given conditions. This two-page worksheet contains...
Activity
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Baylor College

Global Atmospheric Change: The Math Link

For Teachers K - 5th Standards
Change up the classroom atmosphere with this interdisciplinary resource. Following along with the children's book Mr. Slaptail's Curious Contraption, these math worksheets provide practice with a wide range of topics including...
Interactive
CK-12 Foundation

Volume by Disks: The Vase Case

For Students 11th - Higher Ed
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
Worksheet
Curated OER

Decomposing Rectangular Solids

For Students 7th - 8th
In this surface area and volume instructional activity, students solve and complete 3 different decomposing rectangular solids. First, they use the given formulas for surface area and volume to calculate the measurements of each of the...
Lesson Plan
Discovery Education

Discovering Math: Exploring Geometry

For Teachers 6th - 8th Standards
Apply geometric properties and formulae for surface area and volume by constructing a three-dimensional model of a city. Learners use similar and congruent figures and transformations to create a city of at least 10 buildings. They trade...
Worksheet
Math Mammoth

Area- Perimeter- Volume

For Students 7th - 9th
In this geometry worksheet, students use a grid to draw 3 different rectangles that have an area of 20 square units and determine the perimeter of each rectangle. They draw and answer questions related to the relationships and uses of...
Interactive
CK-12 Foundation

Volume by Cross Section: Volume of the Cone

For Students 11th - Higher Ed
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....
Lesson Plan
Curated OER

Outlining Area

For Teachers 3rd - 5th
Explore measuring various objects using square centimeters. Learners create various shapes using five centimeter cubes, calculate the area in square centimeters of different classroom objects, and discover who has the largest mouth,...
Lesson Plan
Curated OER

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...
Lesson Plan
Curated OER

Geometry and Measurement

For Teachers K - 5th Standards
Young geometers explore relationships between units of measure and objects. Three activities provide varied opportunities to practice. Learners calculate the volume of two cylinders made by rolling a piece of paper vertically and...
Lesson Plan
Teach Engineering

Boxed In and Wrapped Up

For Teachers 6th - 8th Standards
If cubes have the smallest surface area, why aren't there more cube-shaped packages? Scholars take a box in the shape of a rectangular prism, cut it up, and make new boxes in the shape of cubes with the same volume. They then brainstorm...
Lesson Plan
Curated OER

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...
Lesson Plan
Curated OER

Moles Lab Activities

For Teachers 9th - 12th
General chemistry class members engage in a mini-unit on mole conversions. Through nine lab activites with varying degrees of difficulty, they practice measuring mass and volume, molar calculations, and stoichiometry. Terrific...
Assessment
Mathed Up!

Volume of Prism

For Students 7th - 10th Standards
The area is essential to volume. As part of the review for the General Certificate of Secondary Education math assessment, a helpful video covers how to find the volume of several common 3-D figures. Pupils use the general volume formula...
Lesson Plan
Curated OER

Volume of Solid Figures

For Teachers 7th - 11th
Learners calculate volume using the correct formula and the correct unit. They explore different prisms, spheres, cubes, and cones as they calculate volume and relate it to depths in oceans.
Assessment
Noyce Foundation

Pizza Crusts

For Teachers 6th Standards
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...
Lesson Plan
EngageNY

Volume of Right Prisms

For Students 7th Standards
Apply volume and area formulas to find the volume of any right prism. The 26th lesson of a 29-part module examines methods for finding the volume of right prisms with varying shapes of bases. Learners use the formula V = Bh to find...
Lesson Plan
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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...
Performance
Radford University

Koi Pond

For Teachers 8th - 12th Standards
There's nothing fishy about the activity. Future mathematicians design a koi pond from various three-dimensional shapes. They calculate the perimeter, area, and volume of the pond, and then create PowerPoint presentations. They also...