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...
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...
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...
Curated OER
The Surface Area of a Cylinder
Young scholars find the circumference and diameter of several circles and calculate the surface area of cylinders. In this surface area of a cylinder lesson plan, students use rectangles and lids to make several cylinders. They calculate...
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
Mensuration: Area
In this area worksheet, pupils read story problems, draw diagrams, and find the area of described polygons. This eight page worksheet contains six problems. Answers are provided.
Curated OER
Identifying and Explaining Reactions
Introduce high schoolers to chemical reactions with this series of activities. In a little over an hour, scientists observe four gas-producing reactions: the combination of hydrochloric acid and sodium hydroxide, placing pasta in...
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
Volume, Surface Area for Cylinders
Seventh graders explore the concept of volume and surface area of cylinders. In this volume and surface area of cylinders lesson, 7th graders break cylinders into their base shapes of a circle and a rectangle. Students discover that...
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
Coefficient of Kinetic Friction and Surface Area
Students investigate coefficient of friction with respect to surface area and applied force in contact with the sliding force.
Curated OER
Area And Perimeter Using Pentominoes
Third graders engage in an enrichment lesson exploring the concepts of area and perimeter. They construct new pentominoes that are 3 times the size of normal ones and then identify the area and perimeter measurements. They then create a...
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...
Curated OER
Sizing Cells
Students examine how living cells reproduce to make new cells. In this cell reproduction lesson plan students complete a lab activity and answer questions.
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...
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
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...
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 is very clearly organized with a useful student worksheet provided. They perform a lab experiment which is...
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
Investigation- On The Surface
Learners will examine solids to determine which has the least surface area. They will also understand the use of units, square units, and cubic units. There is also the teaching and application of geometry formulas to perform calculations.
Curated OER
Living Room Redecoration
Fourth graders use math in a living room redecoration lesson. In this geometry lesson, 4th graders get the dimensions of a living room and need to find the amount and cost of paint and flooring. They read different scenarios and decide...
Curated OER
Area: It's What's on the INSIDE That Counts!
Second graders participate in a series of hands-on, online and multimedia activities that examine the concept of area. They view clips from the animated series Math Monsters and discuss the purpose of area and how it is used in the real...
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