Illustrative Mathematics
Coins in a Circular Pattern
What starts as a basic question of division and remainders quickly turns abstract in this question of related ratios and radii. The class works to surround a central coin with coins of the same and different values, then develops a...
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...
Illustrative Mathematics
Eratosthenes and the Circumference of the Earth
The class gets to practice being a mathematician in ancient Greece, performing geometric application problems in the way of Eratosthenes. After following the steps of the great mathematicians, they then compare the (surprisingly...
Illustrative Mathematics
Regular Tessellations of the Plane
Bringing together the young artists and the young organizers in your class, this lesson takes that popular topic of tessellations and gives it algebraic roots. After covering a few basic properties and definitions, learners attack the...
Illustrative Mathematics
How Many Leaves on a Tree? (Version 2)
A second attack at figuring out the number of leaves on a tree, this activity makes both an excellent follow-up to version 1 and a stand-alone activity. Learners practice setting parameters and deciding acceptable estimate precision, and...
Illustrative Mathematics
How Many Leaves on a Tree?
This is great go-to activity for those spring or fall days when the weather beckons your geometry class outside. Learners start with a small tree, devising strategies to accurately estimate the leaf count. They must then tackle the...
Illustrative Mathematics
Paper Clip
With minimal setup and maximum freedom, young geometers are encouraged to think outside the box on a seemingly simple application problem. Though the task seems simple, measuring a given paper clip and finding how many 10 meters can...
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...
National Research Center for Career and Technical Education
Architecture and Construction: Stair Construction
Within the context of the construction industry, algebra pros begin to calculate slope from the sizes of stair steps. This is a terrific lesson, especially for aspiring engineers. Just be aware that it might be a stretch to meet all of...
National Research Center for Career and Technical Education
Hospitality and Tourism 1: Safety and Sanitation
Math and science come alive in this career-related lesson on sanitation. Along the way, learners explore bacterial growth rates using exponential notation and graphs. A link to a very brief, but vivid video shows just how quickly these...
Curated OER
We All Scream for Ice Scream
High schoolers explore the formulas for volume of three-dimensional objects. They participate in various activities involving ice cream, ice cream cones, small candies, and gum balls, recording their calculations on a lab sheet.
Teach Engineering
Ampere's Law
Help your class find the the magnetic field of a toroid, a solenoid bent into a circle with an activity that allows the class to see how a loop of wire carrying an electrical charge behaves much like a magnet. The resource provides...
Alabama Learning Exchange
Density
Students observe a demonstration of regular soda versus diet soda. In this exploring density instructional activity students complete a lab on density and present a PowerPoint presentations of their results.
Maths Challenge
Maths challenge.net: Spider Fly Distance
A "three star geometry problem" requiring knowledge of how to complete geometric proofs and some prior math skills to figure the shortest distance between the opposite corners of a cuboid.
Maths Challenge
Maths challenge.net: Shaded Triangle
A great geometry problem of area, encorperating many learned skills.
Maths Challenge
Maths challenge.net: Sloping Square
A geometry problem of finding the area of a sloped square within a square.
Maths Challenge
Maths challenge.net: Maximum Square
A challenging proof like geometry of finding the square inscribed in a triangle.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Geometry in Space
Twenty-four problems covering a variety of solid figure topics: dimensions, volume, surface and base areas. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click...
National Council of Teachers of Mathematics
The Math Forum: The Cylinder Problem: High School Lesson
Using an engaging approach, this lesson requires students to record the volume of cylinders as a function of the radius. Students will construct and measure the volume of several cylinders and then begin comparing these shapes.
Texas Education Agency
Texas Gateway: Determining the Surface Area and Volume of Composite Figures
Given a problem involving composite figures made from prisms, pyramids, spheres, cones, and/or cylinders, the student will find the surface area and volume of the composite figure.
Texas Education Agency
Texas Gateway: Determining the Surface Area and Volume of Spheres
Given a problem involving spheres, the student will find the surface area and volume.
CPALMS
Cpalms: Dollars for Density
This is a guided inquiry activity in which students use simple lab procedures and discussions to develop and apply the concept of density. Students collect and graph data which they use to explore the relationship between mass and...
CK-12 Foundation
Ck 12: Calculus: Volume by Cross Section
[Free Registration/Login may be required to access all resource tools.] This tutorial explains how to calculate the volume of various solids using the 'slicing' method and then deriving a formula for each solid. It goes on to discuss...
CPALMS
Cpalms: Building Graduation Caps
[Free Registration/Login Required] In this lesson plan, students build geometric models of graduation caps using stiff paper. The activity requires the application of skills in finding surface area, understanding similarity, knowing the...