Curated OER
Investigation-On the Surface
Young scholars compute the surface area of 3 geometric solids to determine the shape of package that would require the least amount of paper to wrap. In this geometry lesson, students work on a two-question assessment embedded in the...
Curated OER
NetsS.A. of Prisms
Young scholars build nets of three-dimensional prisms based on the dimensions they are given for hexagonal prism, triangular prism, rectangular prism. Working in groups, they use their prisms and calculate the Surface Area and Lateral Area.
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.
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 lesson plan is very clearly organized with a useful student worksheet provided. They perform a lab experiment which is...
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...
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
The Calculus Whiz Who Owned a Box Company
Young scholars 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.
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
Attack of the Raging River
Students explore mass and volume. In this mass and volume lesson, students pretend to be on a hike and have lost their way. Students must cross a river get back on track. Students must use mass, volume, surface area, density, property...
Neufeld Learning Systems
Concept: Exponents in Formulas
In this volume and surface area worksheet, pupils use their calculators to find the volume or surface area of a pictured 3-dimensional figure.
Curated OER
Volume of Cones
Students identify the volume of cones and pyramids. In this geometry lesson, students derive the formula for cones and pyramids. They calculate the volume of cones and other three dimensional shapes.
Curated OER
Volume of Cylinders
Middle and high schoolers calculate the volume of cylinders. In this geometry lesson, learners differentiate between rectangular prisms and cylinders. They use the correct formula to solve for each solid.
Curated OER
Length, Perimeter, and Area
Students explore the concepts of length, perimeter, and area. In this math lesson, students use Shape Explorer to practice finding length, perimeter, and area.
Curated OER
New Boxes From Old
Students find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new, cube-shaped box...
Curated OER
Tools for Integrating Math and Engineering: Weighin' In
Students collect and analyze data on a fictional cereal company's products. In this measurement instructional activity, students collect data from cereal boxes (weight, volume, surface area, etc.) to determine if the boxes labels...
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
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
Pooling Around
Students complete a unit of lessons on computing area and volume. They play a Jeopardy game of basic area formulas, calculate surface area of shapes, develop a Powerpoint presentation, and conduct a simulation of finding the surface area...
Curated OER
Sizing Cells
Young scholars examine how living cells reproduce to make new cells. In this cell reproduction lesson students complete a lab activity and answer questions.
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...
Teach Engineering
Surface Tension Basics
Back to the basics (of surface tension). The first installment of a nine-part series teaches young scholars about the basics of surface tension and how it relates to water droplets. They also learn how this concept allows for the...
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...
Mathematics Assessment Project
Maximizing Area: Gold Rush
Presenting ... the gold standard for a lesson. Learners first investigate a task maximizing the area of a plot for gold prospecting. They then examine a set of sample student responses to evaluate their strengths and weaknesses.
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...
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