Illustrative Mathematics
Computing Volume Progression 4
This resource was written for the younger math learner, but finding the volume of an irregular solid is also a problem for algebra and geometry students. Based on Archimedes’ Principle, one can calculate the volume of a stone by...
Curated OER
Archimedes
In this Archimedes worksheet, students complete and respond to 4 different problems related to different triangles. First, they find the midpoint of each side of a given triangle. Then, students connect the midpoints with the opposite...
Illustrative Mathematics
Archimedes and the King's Crown
Learners will shout "Eureka!" in this quick but deep activity replicating the famous bathtub experiment of Archimedes. Given the scenario of a king with a suspected fake crown, young investigators develop formulas using density to...
Teach Engineering
Buoyant Boats
Eureka! Using the clay boats made in the previous lesson, learners investigate the idea of buoyancy and water displacement to finish the last installment of five in a Floaters and Sinkers unit. Their observations during the activity...
Teach Engineering
What Floats Your Boat?
Clay's as good a material as any to build a boat, right? An introductory lesson sets the stage for two activities associated with buoyancy. The first involves building boats out of clay, while the second uses these boats to measure the...
Illustrative Mathematics
How Thick Is a Soda Can II?
Science, technology, and math come together in this one combination exercise. Analyzing the common soda can from both a purely mathematical perspective and a scientific angle allows for a surprisingly sophisticated comparison of...
Curated OER
Archimedes
Middle schoolers complete a webquest on the mathematication, Archimedes. In groups, they pick a topic of interest and design a hand-on experiment for their classmates. They present their material and model the experiment. They...
Curated OER
Infinite Secrets
Students duplicate the method that Archimedes used to estimate the value of pi. They complete a data table and find the approximate values of pi for three sets of polygons.
Curated OER
Boat Hull Design
Working in small groups learners develop three alternative boat designs. They discuss the rationale for the type of hull, propeller, location of ballast, and type of building material used in their design. They build their boat.
CPO Science
Physics Skill and Practice Worksheets
Stop wasting energy searching for physics resources, this comprehensive collection of worksheets has you covered. Starting with introductions to the scientific method, dimensional analysis, and graphing data, these skills practice...
Curated OER
Cardboard Boat Challenge
Students build a boat out of cardboard and tape. They apply Archimedes' Principle to their design.
Curated OER
Bathtub Physics - Density, Buoyancy and Flotation
Students study Archimedes' Principle, flotation and the reaction of buoyant forces and explain the relationship between density and flotation.
Curated OER
Snub Cube
In this math worksheet, students create a paper model of a snub cube. It is an Archimedean solid comprised of 6 square faces, 32 equilateral triangle faces, 24 vertices and 60 edges.
Curated OER
Rombicosidodecahedron
In this math instructional activity, students create a geometric paper model of a rombicosidodecahedron solid that is considered a challenging project.
Curated OER
Buoyant Force
Students illustrate Archimedes' Principle of Buoyant Force. In this graphing lesson, students will observe that the buoyant force on an object is equal to the weight of the fluid it displaces. Students will then create a graph showing...
Curated OER
Density in Relation to Float and Sink
Students explore the concept of density. For this density lesson, students determine the density of various objects. Students use the density of the various objects to predict the density of various unknown solutions.
Curated OER
Helium Balloon Race
Students determine the force of a helium balloon that allows it to rise a specific distance. In this helium lesson students calculate the amount of paper needed to construct a weight and determine the density of a piece of...
Curated OER
Polyhedra Book
In this math worksheet, students are asked to read the book that focuses upon the creation and explanation of three dimensional shapes.
TED Talks
Ted: Ted Ed: How Taking a Bath Led to Archimedes' Principle
This video explains how the early Greek mathematician Archimedes discovered the principle relating density, volume, and displacement of water. [3:01] Includes a brief quiz and a list of additional resources to explore.
Science Struck
Science Struck: How to Find Volume With Water Displacement Method
Tells the story of how Archimedes discovered the Archimedes Principle and his water displacement method for determining the volume and density of an object. Provides an explanation and several examples of how it is done.
Illustrative Mathematics
Illustrative Mathematics: 6.g Computing Volume Progression 4
The purpose of this fourth task in a series of four is to find the volume of an irregular 3D solid by using Archimedes' Principle. Students must calculate the volume of the displaced water in a rectangular prism tank in order to solve...
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