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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...
Radford University
2 and 3 Dimensional Shapes
Take a similar approach to three dimensions. Pupils develop the relationship between areas of similar objects and see how they relate to the ratio of the sides. Building upon area formulas, small groups put together volume formulas for...
Radford University
Being Green – Minimizing the Surface Area of a Soda Can
Save the world by designing a new soda can! Learners first measure the dimensions of a typical soda can and calculate its surface area and volume. They then use spreadsheet software to minimize the surface area for the volume, thus...
Radford University
Green Acres is the Place to Be!
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,...
Radford University
Tiling
What more could we want from floor tiles? Using pattern blocks and graph paper, pupils determine ways to completely tile a floor of given dimensions. They consider the aesthetic quality of the tiles by creating a tessellation and...
Radford University
Sand Castle
Don't let the task slip through your fingers like sand. Scholars design sand castles using hemispheres, pyramids, cones, and cylinders of different sizes. They calculate the volume and surface area and consider how changing the...
Radford University
Surface Area of Boxes
Explore surface area out of the box. Pairs investigate surface area by measuring two boxes and calculating the area of each side. Classmates trace one of the boxes onto butcher paper and create a net with the same area. Groups then...
GNS Science
Think like a Geologist: 2
All models are better in three dimensions. A hands-on lesson asks learners to create 3-D models of a rock layer using a template. They arrange the puzzle piece sides together to create models that are scientifically correct. Once the...
Bowland
Sports Bag
Lay it out using the least amount of material. Learners use the dimensions of a cylindrical sports bag to find out the size of pieces of material needed to sew them. The pupils find the best placement of the pieces to use the least...
Digital Public Library of America
Uncle Tom's Cabin by Harriet Beecher Stowe
Harriet Beecher Stowe's Uncle Tom's Cabin has generated controversy since its publication in 1852. Here is a set of 12 primary sources that capture the controversies of the times while adding dimension and depth to any study of...
Gfletchy
Fill ‘er Up
Drink in a lesson on volume. Individuals first view a video clip where a conical cup is used to pour water into a water cooler jug. Using provided dimensions of the cup and the jug, they estimate the number of cups required to fill the...
Core Knowledge Foundation
Unit 4: The Time Machine by H. G. Wells Teacher Guide
Lead your readers into the fourth dimension as time travelers with a Core Knowledge Language Arts (CKLA) Teacher Guide of H. G. Wells's The Time Machine. The 144-page guide includes a unit calendar, introduction, nine lessons, teacher...
TED-Ed
A Brief History of Religion in Art
Did you know that some languages have no word for art? The English language does and the narrator of this short video discusses the aesthetic dimension of religious art as it "visually communicates meaning beyond language."
EngageNY
Three-Dimensional Space
How do 2-D properties relate in 3-D? Lead the class in a discussion on how to draw and see relationships of lines and planes in three dimensions. The ability to see these relationships is critical to the further study of volume and...
EngageNY
Composition of Linear Transformations 2
Scholars take transformations from the second to the third dimension as they extend their thinking of transformations to include three-dimensional figures. They explore how to use matrices to represent compositions of...
EngageNY
Solving General Systems of Linear Equations
Examine the usefulness of matrices when solving linear systems of higher dimensions. The instructional activity asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the...
EngageNY
Volume of Composite Three-Dimensional Objects
Most objects have irregular dimensions — you have to find them! Teach your class how to find the volume of composite objects that can be decomposed into prisms. Objects get increasingly more complex as the lesson progresses.
EngageNY
The Volume of a Right Prism II
Discover the difference between the capacity of a container and its volume. The 25th part of a 28-part series presents problems that require pupils to determine the amount of liquid a prism can hold. Learners must take into account the...
EngageNY
Drawing Parallelograms
Construct your young mathematicians' understanding by exploring the properties and dimensions of a parallelogram through constructions. The seventh instructional activity in this 29-part series begins with individuals creating...
Utah Education Network (UEN)
Ch 5: Geometry
Shape one's understanding of geometry using the resource. The sixth of seven chapters in 6th Grade Math focuses on geometry principles. Future mathematicians learn to find the area of parallelograms, trapezoids, triangles, and other...
101 Questions
Pool Capacity
Here's hoping that we can all fit into the pool. Given pictures and dimensions of a pool in tile lengths, scholars decide how many people can fit into the pool. This requires consideration of area, as well as the application of some...
101 Questions
Laying Sod
Lay out a firm understanding of trigonometry. Scholars watch a video recording of a worker laying sod on a lawn. Given the dimensions of each piece of sod and the lawn, they determine how many pieces of sod are necessary. Trigonometry...
Odell Education
Transformations
Geometry in life-sized dimensions! Using enlarged graph paper, pupils perform a series of transformations. By recording the initial and final placement of the images, they are able to analyze the patterns in the coordinates during a...
Curated OER
Worksheet 17 - Area
In this area worksheet students read story problems, determine the necessary information to solve the problem. They find the amount of material needed to construct three-dimensional figures. Students determine the greatest and least area...
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