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Lesson Plan
Virginia Department of Education

The Ratio of Surface Area to Volume

For Teachers 9th - 12th
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...
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Lesson Plan
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Digital Lesson

Cereal Box Surface Area

For Teachers 5th - 8th Standards
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...
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Lesson Plan
Alabama Learning Exchange

How Big Can a Bee Be?

For Teachers 7th - 10th Standards
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...
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Lesson Plan
Curated OER

Surface to Volume Ratios

For Teachers 9th - 12th
Students measure the rate of diffusion and to calculate the surface area to volume ratios of varying cell sizes. The lesson plan is very clearly organized with a useful student worksheet provided. They perform a lab experiment which is...
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Lesson Plan
Curated OER

Surface Area to Volume Ratio

For Teachers 7th - 10th
Students examine the surface area to volume ratio and how they relate.  In this surface area lesson students complete several activities.
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Lesson Plan
Nuffield Foundation

Effect of Size on Uptake by Diffusion

For Teachers 9th - 12th Standards
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...
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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...
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Interactive
CK-12 Foundation

Area and Volume of Similar Solids: Similar Solids

For Students 6th - 12th Standards
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...
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Unit Plan
Radford University

Green Acres is the Place to Be!

For Teachers 9th - 12th Standards
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,...
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Lesson Plan
Curated OER

Volume and Surface Area

For Teachers 5th - 6th
Students explore volume and surface area. In this math instructional activity, students fill boxes with cubes to identify the volume of the boxes. Students discuss area.
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Lesson Plan
Curated OER

Surface Area and Volume of Similar Solids

For Teachers 8th - 10th
Students explore similar figures. In this surface area and volume lesson, students identify the relationship between the surface area and volume of similar figures.
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Lesson Plan
Curated OER

Scale Factor- Surface Area and Volume

For Teachers 9th - 10th
Students calculate the surface area and volume of shapes. For 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.
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Performance
Radford University

How Do I Design a Raised Bed Garden to Accommodate My Plants?

For Teachers 7th - 12th Standards
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...
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Lesson Plan
Curated OER

Surface Area and Measuring

For Teachers 10th
Tenth graders explore volume and surface area through percentages. In this geometry lesson, 10th graders analyze the surface area of two and three dimensional shapes, then use percents and ratio to compare the two.
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Worksheet
Curated OER

Surface Area and Volume

For Students 8th - 10th
Accompanying the lesson at www.shodor.org, this worksheet present learners 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...
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Lesson Plan
Curated OER

Sizing Cells

For Teachers 9th - 12th
Young scholars examine how living cells reproduce to make new cells.  In this cell reproduction lesson students complete a lab activity and answer questions. 
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Worksheet
Curated OER

Similarity of Length, Area, and Volume

For Students 9th - 11th
In this similarity worksheet, students 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.
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Printables
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Houghton Mifflin Harcourt

Unit 7 Math Vocabulary Cards (Grade 6)

For Students 6th Standards
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,...
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Lesson Plan
Teach Engineering

Discovering Relationships Between Side Length and Area

For Students 9th - 12th Standards
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...
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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
Curated OER

SA/V Ratio and Rate of Diffusion

For Teachers 9th - 12th
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.
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Activity
Serendip

Diffusion and Cell Size and Shape

For Teachers 9th - 12th Standards
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...
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Lesson Plan
University of Nottingham

Drawing to Scale: A Garden

For Students 6th - 9th Standards
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...
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Lesson Plan
Curated OER

Perimeter and Area of Similar Figures

For Teachers 9th - 12th
Learners 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.