Virginia Department of Education
The Ratio of Surface Area to Volume
Demonstrate the ratio of surface area to volume in your high school class by using phenolphthalein, gelatin, and an onion. Intrigue the class by leading a discussion on osmosis and diffusion, then making "scientific jello." Participants...
Digital Lesson
Cereal Box Surface Area
How much math can your learners pour out of a cereal box? Your middle schoolers will explore their favorite cereal and calculate the surface area, volume, and weight ratios and log this information on the provided worksheet. They get to...
Alabama Learning Exchange
How Big Can a Bee Be?
Mathematicians analyze the relationships between surface area and volume. They conduct Internet research, conduct various experiments, record the data in a spreadsheet, and graph the results and compare the rate of increase of surface...
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 activity is very clearly organized with a useful student worksheet provided. They perform a lab experiment which is...
Curated OER
Surface Area to Volume Ratio
Students examine the surface area to volume ratio and how they relate. In this surface area lesson students complete several activities.
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...
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...
CK-12 Foundation
Area and Volume of Similar Solids: Similar Solids
Five questions make up an interactive designed to boosts knowledge of area and volume of solid figures. Question types include multiple-choice, true or false, and fill-in-the-blank. A scale model changes measurement to provide a visual...
Radford University
Green Acres is the Place to Be!
Nurture a love of math and farming at the same time. Pupils apply geometry concepts, such as surface area and volume of three-dimensional shapes and similarity ratios, to farming contexts. They consider the dimensions of bales of hay,...
Curated OER
Volume and Surface Area
Students explore volume and surface area. In this math lesson, students fill boxes with cubes to identify the volume of the boxes. Students discuss area.
Curated OER
Surface Area and Volume of Similar Solids
Students explore similar figures. In this surface area and volume lesson, students identify the relationship between the surface area and volume of similar figures.
Curated OER
Scale Factor- Surface Area and Volume
Students calculate the surface area and volume of shapes. In this geometry lesson, students create different scales and calculate the volume and area for each shape. They compare and contrast between the different scales and shapes.
Radford University
How Do I Design a Raised Bed Garden to Accommodate My Plants?
Give plants the best place to grow. Given constraints on plant spacing, pupils design a raised bed garden using graph paper, then calculate the perimeter, surface area, and volume. They use the provided costs of lumber and soil to...
Curated OER
Surface Area and Measuring
Tenth graders explore volume and surface area through percentages. For this geometry lesson, 10th graders analyze the surface area of two and three dimensional shapes, then use percents and ratio to compare the two.
Curated OER
Surface Area and Volume
Accompanying the lesson at www.shodor.org, this worksheet present students with a series of questions about the volume and surface area of a rectangular prism and a triangular prism. Students predict how these values would change if the...
Curated OER
Sizing Cells
Young scholars examine how living cells reproduce to make new cells. In this cell reproduction activity students complete a lab activity and answer questions.
Curated OER
Similarity of Length, Area, and Volume
In this similarity worksheet, learners 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.
Houghton Mifflin Harcourt
Unit 7 Math Vocabulary Cards (Grade 6)
Thirty-eight flashcards make up a set designed to reinforce math vocabulary. Two types of cards can be found here; a word card in bold lettering, and a corresponding definition card that offers a labeled example. Terms include area,...
Teach Engineering
Discovering Relationships Between Side Length and Area
Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...
Virginia Department of Education
Similar Solids and Proportional Reasoning
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...
Curated OER
SA/V Ratio and Rate of Diffusion
High schoolers 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.
Serendip
Diffusion and Cell Size and Shape
Is your class ready to size up the topic of diffusion? Help them get cell shape savvy with a well-written handout. The resource covers how substances such as oxygen passively move through the cell membrane and how cell size and shape...
University of Nottingham
Drawing to Scale: A Garden
See how design and geometry go hand in hand. The activity asks learners to use geometry to design a backyard garden given dimensions of each feature. Scholars work with ratios and scale to develop an accurate scale drawing that includes...
Curated OER
Perimeter and Area of Similar Figures
Young scholars determine the relationship between perimeter, circumference, area, surface area, and/or volume of similar figures and their parts. They complete activities related to the question. Answer key included.