Curated OER
SA/V Ratio and Rate of Diffusion
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.
Curated OER
Bubbles Everywhere!
Eighth graders use concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two- and three-dimensional shapes. This lesson is a fun way to practice measurement and circle and...
Curated OER
Volumes of Rectangular Prisms
High schoolers determine the volume of a rectangular prism. They then maximize and minimize the volume given variable side lengths. Finally, they factor the volume equation to determine the side lengths.
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...
Curated OER
Changing Twines: Exploring Area and Perimeter
Third graders review formulas for area and perimeter in quadrilaterals. They arrange pre-cut twine on a centimeter graph paper to create non-congruent quadrilaterals. They calculate the perimeter and area of each form.
Illustrative Mathematics
Christo’s Building
Hook your charges on how to solve a real-world art problem with mathematics by showing works of Christo. You can find eye-catching images on the Christo and Jeanne Claude webpage. Here, math learners help Jean Claude and Christo prepare...
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
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.
Curated OER
A Cylinder Workshop
Students work with given formulas to solve for specific variables. The calculation of the volume of a cylinder and the change in volume when there is a constant surface area is analyzed in this lesson.
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
Using Nets to Find Surface Area
Eighth graders explore three-dimensional objects (prisms, pyramids, cylinders and cones) to draw nets. They use the understanding of drawing nets to find the surface area of pyramids and cylinders.
Curated OER
Exploring Number and Operation in Secondary Mathematics
Young geometers need a clear understanding of perimeter, volume, and area. This lesson provides a worksheet to help small groups of learners to calculate various measurements of objects and choose the proper units for measurement. It...
Curated OER
Inquiry Unit: Modeling Maximums and Minimums
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and plot width v. area on a scatter...
Curated OER
How Does Cell Size And Shape Affect Transport of Materials
Tenth graders explore concepts of surface area, volume, and ratios, create spreadsheets to aid organization of data collected and provide graphing capabilities, and use NIH Imaging to enable calculations of microscopic organisms.
Curated OER
Exploring Similarity Using Scale Drawings
Learners explore scale factor as they create a scale drawing of a box, then determine the surface area and volume of the original and the scale drawing. The one page worksheet contains activities and procedures with four questions.
Curated OER
A Cone and Its Net
Create and investigate nets for solid shapes with your class. They identify the different parts and faces of each polygon and solid then calculate the surface area and volume of cones. They use circle sectors of varying sizes to build...
Curated OER
Dilations of 2 and 3 dimentional figures and their effect on area, surface area, and volume.
Seventh graders investigate the area and volume of 2D and 3D figures. In this geometry lesson, 7th graders create a storyboard explaining their knowledge of 2D and 3D shapes. They analyze their data and interpret their results.
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
Castles
Students create a scale model to a castle using the dimensions they were given. They calculate the surface areas and volumes of each section of their castle.
Curated OER
Cylinders and Scale
Students review what a cylinder is and how a cylinder is measured. They build a variety of cylinders with different heights and radii. They compare the surface area and volume of each cylinder and discuss anything that surprises them...
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
TE Activity: The Boxes Go Mobile
Students create a mobile of boxes and cubes that they made in a previous lesson that can be accessed from this page. They design the mobile using method that an engineer would use to balance the items based on surface areas and volumes.
Cornell University
Scaling Down: Effects of Size on Behavior
Two activities explore the concept of size, especially small sizes down to the nano. Scholars practice determining volume, mass, and density and calculate exponential increases and decreases. They then predict and test the effect of size...
Mathematics Assessment Project
Evaluating Statements About Enlargements
Double, toil ,and double linear dimensions. Learners first complete an assessment investigating how doubling linear dimensions affects the area of pizzas and the volume of popcorn containers. They then complete an activity investigating...
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