Curated OER
Surface to Volume Ratios
Young scholars measure the rate of diffusion and to calculate the surface area to volume ratios of varying cell sizes. The lesson is very clearly organized with a useful student worksheet provided. They perform a lab experiment which is...
Curated OER
Volume, Surface Area for Rectangular & Triangular Prisms
Seventh graders explore the concept of rectangular and triangular prisms. In this rectangular and triangular prism lesson, 7th graders identify various prisms as triangular or rectangular. Students discuss the various shapes of bases...
Curated OER
Surface Area
Students calculate the surface area of cubes, solids and cylinders. In this geometry lesson, students define the surface area formulas for different prisms. They calculate the surface area with 100%, and 80% accuracy.
Curated OER
Surface Area of Prisms
Students calculate the surface area of different prisms. In this geometry instructional activity, students identify the shapes of solids based on the properties of that solid. They calculate the surface area using nets and properties of...
Curated OER
Surface Area of Spheres
Learners identify the properties of a sphere. In this geometry instructional activity, students calculate the surface area of spheres using the formula derived by nets. They identify the radius and diameter of the sphere.
Cord Online
Pyramids and Cones
Young mathematicians find the surface area and volume of a square pyramid and a cone. In what looks like a typical activity out of a textbook, you'll find an activity where learners find an unknown measurement of a pyramid or cone,...
Curated OER
Fill and Wrap It Up
Students find the surface area and volume of the solid figures by measuring the length and the height of each face and base. They use concrete models to derive formulas for finding perimeter, circumference, area, surface area, and volume...
Curated OER
Measurement: Cylinders
Math scholars observe and demonstrate how to calculate the surface area and volume of cylinders. They analyze pictures of various cylinders on a handout, solve problems on two worksheets independently, and discuss the answers to the...
Curated OER
Maximize It!
Students design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...
Curated OER
A Rectangular Prism and Its Net
Identify the nets for prisms and other geometric shapes. Learners calculate the surface area of the rectangular prism then sketch the shapes of prisms and other polygons. Unfolded cereal boxes are used as a visual aid, great idea!
Virginia Department of Education
Geometry and Volume
The history of math is fascinating! Utilize a woodcut primary source image from 1492 and posters from the 1930s to help geometers apply their volume-calculation skills to real-life questions.
Curated OER
Volume of Rectangular Prisms
Introduce the procedure needed to find the volume of a rectangular prism. Learners rank various prisms such as cereal boxes and tissue boxes from smallest to largest volume. They use an applet to find the volume and surface area of each...
Nuffield Foundation
Effect of Size on Uptake by Diffusion
Cell size is limited by the surface area to volume ratio, but why is this true? Scholars measure the surface area and volume of cubes before placing them into liquid. After a set amount of time, they measure the uptake by diffusion for...
PBS
Surface Area and Volume
You and your class will like this lesson on using visual models to relate the volume and surface area of solid shapes. Learners construct three-dimensional forms using nets. They calculate the surface area and volume for each and then...
Shodor Education Foundation
Surface Area of Rectangular Prism
With this interactive lesson plan, learners compute the surface area of rectangular prisms. They visit an online investigation applet and record data on the provided handout. Pair this lesson plan with the volume lesson plan by the same...
Curated OER
Volume, Surface Area for Cylinders
Seventh graders explore the concept of volume and surface area of cylinders. In this volume and surface area of cylinders lesson, 7th graders break cylinders into their base shapes of a circle and a rectangle. Students discover that...
Curated OER
Surface Area and Volume of a Cube
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...
Curated OER
Solid Surface Area
Students calculate the area of solids. In this geometry lesson, students use formulas to find the surface are and the volume of solids. They investigate 3-dimensional shapes.
Purdue University
Plastic Water Bottle Design – What’s the Best Shape?
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...
Santa Monica College
Introducing Measurements in the Laboratory
We use basic units of measurement to break down things and communicate clearly. The first lesson in an 11-part series teaches the proper way to measure various items. It starts simply with measuring the dimensions and areas of geometric...
Neufeld Learning Systems
Concept: Exponents in Formulas
In this volume and surface area worksheet, students use their calculators to find the volume or surface area of a pictured 3-dimensional figure.
Curated OER
The Calculus Whiz Who Owned a Box Company
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.
Curated OER
A Cylinder Workshop
Pupils work with given formulas to solve for specific variables. The calculation of the volume of a cylinder and the change in volume when there is a constant surface area is analyzed in this lesson.
Virginia Department of Education
Volume of a Rectangular Prism
Fill the minds of your young mathematicians. A hands-on activity has learners fill in a rectangular prism with unit cubes to determine its volume. the exercise provides a great hands-on way for learners to connect the activity to the...
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