National Council of Teachers of Mathematics
Improving Archimedes' Method
For this Archmides' method instructional activity, high schoolers determine the area of a regular n-gon inscribed in a circle. They use sine and cosine functions to solve problems. This three-page instructional activity contains 4...
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...
Curated OER
Archimedes' Principle of buoyancy
Young scholars use the internet to research Archimedes' principle of buoyancy. In groups, they summarize the principle and share it with the class. They also participate in experiments in which they test the principle and share their...
Curated OER
More Than Meets the Eye
Young scholars use the Archimedes method to demonstrate scientific principles behind observations.
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...
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
Why Cheerios Don't Sink
Students investigate Archimedes' Principle and show how it relates to density. In this Archimedes' Principle lesson plan, students experiment with a beaker of water, a Styrofoam "boat" and a weight. They predict what will happen when the...
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...
Mathematics Assessment Project
A Golden Crown?
In this assessment task, learners determine whether a crown with given information is composed of pure gold. The task expects algebraic and numerical solution methods, so unlike Archimedes, no bathtub is necessary.
Curated OER
Density-Qualitative and Quantitative
Students investigate density using film canisters filled with different density materials and larger objects of varying density. In this density lesson plan, students discuss the concept of density and rank film containers from dense to...
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
The Stone Boat Mystery
Students design and execute a lab through which they study the distinctions between density, buoyancy, and volume.
Alabama Learning Exchange
Classifying Complex Numbers
Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.
University of Southern California
Design and Test an Air Lift Siphon
Build an air lift siphon using your mad physics skills! Learners first investigate the importance of circulating water in aquaponics systems. They then use density to their advantage as they engineer an air lift siphon
Curated OER
History and the Approximations of pi
Middle schoolers investigate Pi. For this mathematics lesson, learners discuss the history of Pi and determine how the approximation of Pi was discovered.
Curated OER
Inequalities
In this inequalities worksheet, 10th graders solve and complete 23 various types of problems. First, they find the area of an inscribed square in a circle shown. Then, students find the total area of the inscribed polygon and deduce...
Curated OER
Circles and Cylinders
In this circles and cylinders worksheet, 10th graders solve and complete 22 various types of problems. First, they collect data for a radius and circumference for several different circles and calculate the quantity. Then, students find...
Curated OER
Density in Relation to Float and Sink
Students explore the concept of density. In 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.