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Concord Consortium
Bricks for Books
Maximize a profit with an understanding of geometric dimension. A real-world task challenges learners to design a pattern using three different brick shapes. The bricks are dedicated with a different donation for each shape, so part of...
PBS
KidVid: Scaling Up Rectangles
Tip the scale in your favor when learning about scale factors. After viewing a video clip of a learner trying to determine the scale factor of the areas of two rectangles, scholars consider how changing the dimensions of a rectangle...
NOAA
Investigating Sea Level Using Real Data
The news reports on rising sea level, but how do scientists measure this rise? Scholars use NOAA data including maps, apps, and images to work through five levels of activities related to sea level. Each level in the series adds a new...
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....
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 lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...
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...
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