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...
Curated OER
Cover Up: Tools for Integrating Math and Engineering
Blend art, adolescent snacking habits, and math to create new cereal boxes. Secondary learners review scale drawings. They use this information to construct cereal boxes to scale and will compare their creation to the original product to...
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
Volume and Surface Area: Which Is More?
Students explore the volume and surface area of three dimensional figures. Through the use of video, students discover three dimensional shapes, their uses in real-life applications, and methods used to calculate their volume and surface...
Curated OER
The Luxor Hotel Contract
High schoolers determine the surface area of the Luxor Hotel, using the square feet of the base, volume, and the volume formula. They create a scale model of the triangular/pyramid shaped hotel.
Curated OER
Geometry and Measurement
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...
Curated OER
Surface Area to Volume Ratio
Pupils examine the surface area to volume ratio and how they relate. In this surface area lesson students complete several activities.
Curated OER
Cylinders and Scale
Students review what a cylinder is and how a cylinder is measured. They build a variety of cylinders with different heights and radii. They compare the surface area and volume of each cylinder and discuss anything that surprises them...
Shodor Education Foundation
Triangle Area
While the instructional activity 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...
Curated OER
SA/V Ratio and Rate of Diffusion
Students calculate the SA/V ratio and volume of phenophthalien agar that are cut into different shapes. They then let ammonia diffuse into the various pieces of agar and determine the effect that SA/V had on the rate of diffusion.
Curated OER
Surface Area with Polydrons
Students explore measurements by analyzing geometric shapes. In this surface area activity, students identify the terms volume, weight, perimeter and area in order to find the requested measurements of specific polygons. Students utilize...
Curated OER
Area, Surface, and Volume
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.
Curated OER
Changing Twines: Exploring Area and Perimeter
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.
Curated OER
Solid Surface Area
Students calculate the area of solids. For this geometry lesson, students use formulas to find the surface are and the volume of solids. They investigate 3-dimensional shapes.
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...
Curated OER
Surface Area of Spheres
Students identify the properties of a sphere. In this geometry lesson, students calculate the surface area of spheres using the formula derived by nets. They identify the radius and diameter of the sphere.
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...
Mathematics Assessment Project
Estimating Volume: The Money Munchers
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....
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...
Curated OER
Cylinder Volume Lesson Plan
Tenth graders define the formula for cylinders and use it to solve real world problems. In this geometry lesson, pupils differentiate between area, perimeters, 2D shapes, 3D shapes, and volume of prisms, cylinders and spheres. They...
Curated OER
Linear, Square, and Cubic Units
Linear, square, and cubic units are all investigated as different types of packages are measured. The teacher will need supplies such as a box of aluminum foil, a package of ribbon, and a bag of mulch. The class determines the...
Curated OER
Surface Area
Students calculate the surface area of cubes, solids and cylinders. For this geometry lesson, students define the surface area formulas for different prisms. They calculate the surface area with 100%, and 80% accuracy.
Shodor Education Foundation
Surface Area of Rectangular Prism
With this interactive lesson, learners compute the surface area of rectangular prisms. They visit an online investigation applet and record data on the provided handout. Pair this lesson with the volume lesson by the same publisher as an...
Curated OER
Surface to Volume Ratios
Students measure the rate of diffusion and to calculate the surface area to volume ratios of varying cell sizes. The instructional activity is very clearly organized with a useful student worksheet provided. They perform a lab experiment...