Teach Engineering
Measuring Surface Tension
How do you measure surface tension? The fifth installment of a nine-part series is an experiment where young scientists use tubes of different sizes to measure surface tension. They calculate the average and standard deviation of the...
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...
Curated OER
Seven Sets of Area Problems
In this area worksheet, students solve for the area of rectangles, parallelograms, triangles, trapezoids, kites, regular polygons, circles, and surface area. The worksheets is divided into seven different sets of problems.
Curated OER
Surface Areas
In this math worksheet, learners examine the measurements for the face of the triangle and trapezoid. Then they figure out the total surface area for each.
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
Using Math To Build A Swimming Pool
For this math worksheet, students create the plans for building a swimming pool through calculating its surface area. Then they answer the 13 related questions.
Curated OER
Chemical Reaction Rates
High schoolers observe demonstrations to show factors that affect rates of chemical reactions. For this rates of chemical reactions lesson, students investigate how catalysts, reactant concentrations, temperature and surface area affect...
Cornell University
Atomic Bonding
Explore the connection of surface area to bonding within atoms. Learners complete lab investigations to model changing surface area with different sizes and concentrations of atoms. A flour fireball demonstration follows the labs to...
PBS
Accessible Shapes
All the 2-D and 3-D measurement work you need is in one location. Divided into three sections, the geometry lesson plans consist of visualization of three dimensions, classifying geometric figures, and finding surface area and volume....
Noyce Foundation
Building Blocks
Building blocks have more uses than simply entertaining children. Young mathematicians calculate the volume of a given cube, and then calculate the volume and surface area of a prism formed from multiple cubes.
Virginia Department of Education
Attributes of a Rectangular Prism
A change is coming. Pupils use unit cubes to investigate how changes in the length, width, and/or height affects volume and surface area. They extend the results to write and test predictions on the effect of changing multiple sides on...
Indian Institute of Technology
Could King Kong Exist?
The title says it all: Could King Kong exist? Investigate how increasing the dimensions of an object affects its surface area and volume to mathematically conclude whether a creature with the weight and height of King Kong could actually...
101 Questions
File Cabinet
Take the resource out of the file cabinet. Young mathematicians estimate the number of sticky notes it would take to cover the surface area of a file cabinet. They answer a set of questions on how the number of sticky notes would change...
California Education Partners
Yum Yum Cereal
Design an efficient cereal box. Scholars use set volume criteria to design a cereal box by applying their knowledge of surface area to determine the cost to create the box. They then determine whether their designs will fit on shelves,...
Illustrative Mathematics
Ice Cream Cone
Every pupil with a sweet tooth will be clamoring for this lab and analysis, particularly when they're allowed to eat the results! Volume and surface area formulas for cones are developed from models, and then extended to the printing of...
University of Utah
Geometry Part 2: Measurement in 2- and 3-Dimensions, Plane Sections of Solids
What kind of tree does a math teacher climb? A geometry! Here is a lesson that includes all the geometry resources you could ever wish for in one comprehensive workbook. Class members demonstrate what they have learned by determining the...
Mathematics Assessment Project
Funsize Cans
Designing fun-size cans ... what fun! Class members use the provided questions to determine the dimensions of a can with a minimum surface area for a given volume. The task allows learners to use graphs or algebraic manipulation to solve...
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...
Exploratorium
Tired Weight
You don't need a scale to determine weight. This activity provides a way to use the concepts of air pressure and surface area to determine the weight of a vehicle by calculating the amount of weight each tire supports.
CCSS Math Activities
Building Blocks
Math is a lot like building blocks—it requires a solid foundation. A short performance task has pupils consider the volume of a cubic block. It then asks mathematicians to find the surface area and volume of a prism made from stacking...
Big Learning
The Antarctica Project: A Middle School Mathematics Unit
Antarctica is a big place, large enough to provide ample opportunities to learn about math. A two-week unit teaches middle school mathematics concepts using project-based learning. The resource covers functions, geometry (area,...
Alaska Department of Education
Mathematics Reference Sheet
Triangles and prisms don't stand a chance when your learners use this handout full of the formulas they need to know about the different shapes. Area, volume, and surface formulas are all covered along with the standard measurement and...
National Nanotechnology Infrastructure Network
Lab 2: Nanocatalysts Clean Your Car Emissions
Surface area certainly surfaces as a variable for chemical reaction rates. Scholars perform an experiment to discover how the size of catalysts affect the rate of a chemical reaction. They record their results in tables and graphs to...
Concord Consortium
Maximum Volumes
It's great to have a large swimming pool. An interesting performance task asks learners to optimize the volume of pools for a given surface area. They consider four different shapes for pools and find the maximum volume for each pool.
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