Charleston School District
Solving for a Missing Dimension
If a can has a volume of twelve ounces, how tall it should be? If you can work with volume formulas, it's is an easy measurement to find. After finding the volume of figures in the previous lesson of the series, learners now apply the...
Balanced Assessment
Boring a Bead
How much material is in a bead? Class members utilize volume formulas to determine the amount of material in a bead. The goal of the assessment is to show that the amount of material left in a bead is the same for all beads with a given...
Mathematics Assessment Project
Propane Tanks
As an assessment task, learners must determine the radius of a new tank that has double the capacity of a given tank. Task tests knowledge of determining volumes of cylinders and spheres.
Curated OER
Vectors
In this vectors worksheet, students solve and complete 6 various types of problems. First, they find an equation of a sphere with a given center point and endpoint of a radius at the point. Then, students find the scalar and vector...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target I
A slideshow covering the Smarter Balanced Target I on solving problems involving volume of cylinders, cones, and spheres contains five sample items. Items range from finding the volume of a figure to finding the altitude of a cone given...
Concord Consortium
Bill the Ball Bearing Man
Just how durable could a hollow ball bearing be? Learners model the strength of the walls of a ball bearing as a function of the radius of its cavity. They use their models to make reasonable conclusions about the probability of failure...
101 Questions
Meatballs
Your classroom will overflow with learning as they analyze the volume in a pot of meatballs. Young mathematicians predict the number of meatballs that will make a pot of sauce overflow. They incorporate both the volume of cylinders and...
Penn Museum
Penn Museum: China Gallery
Invite your learners to take a closer look at the art and mathematical function of dome buildings as designed by the ancient Romans. In the next segment of this attractive learning exercise set, your young historians will then learn...
Curated OER
Working in 3-D Sudoku
In this geometric shapes instructional activity, 7th graders solve and complete 8 different problems that include working in a 3-D sudoku puzzle. First, they determine the area of a circle of a sphere to the nearest tenth. Then, students...
Curated OER
Volume and Surface Area of Solids
In this solids worksheet, 10th graders solve and complete 10 different word problems that include determining the volume and surface area of various solids. First, they determine the surface area of a cube as described. Then, students...
Curated OER
Discussion Sheet 1
In this math worksheet, students determine the center and radius for the set of spheres. Then they consider two points and find the equation for the sphere.
Mrs. Burke's Math Page
The Amazing Pi Race
Add a sense of excitement to your math class with this race across the country. Using their knowledge of all things circular, young mathematicians work in pairs answering a series of pi-related word problems as they hop from one city to...
New York City Department of Education
Designing Euclid’s Playground
Create a geometric playground. Pupils work through a performance task to demonstrate their ability to use geometric concepts to solve everyday problems. The accompanying engineering design lessons show teachers how the assessment works...
Curated OER
A Mathematical Model of the Sun
In this mathematical model of the sun instructional activity, learners read about the way scientists use the sun's radius and mass to determine a mathematical model of the sun using the volume of a sphere, and the relationship between...
Curated OER
Models of Planets
In this planet models worksheet, students use the radius of a given planet and its mass to answer questions using a model of a planet with a given radius. They determine the volume of the planet's inner core, the volume of its outer...
Curated OER
Vectors
In this vectors worksheet, students solve and complete 6 various types of problems. First, they find two unit vectors that are parallel to the given vector and illustrate. Then, students find parametric equations for the line that passes...
Illustrative Mathematics
Seven Circles III
A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...
Illustrative Mathematics
Use Cavalieri’s Principle to Compare Aquarium Volumes
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required. From calculating the volume of a composite shape through the abstract...
Curated OER
The Moon's Atmosphere
For this moon's atmosphere worksheet, students read about the tenuous lunar atmosphere and solve 4 problems. They find the density of helium particles, they find the grams of given atoms in the moon's atmosphere and they find the volume...
Curated OER
Water on the Moon!
In this moon worksheet, students read about the data collected from the Deep Impact/EPOXI and Cassini missions to the moon that have detected the presence of hydroxyl molecules under the moon's polar craters. Students solve 4 problems...
Curated OER
Global Positioning System I
Geometry learners touch the surface of how a global positioning system works. The end goal is to find the intersections of three different spheres geometrically and algebraically given their algebraic representations.
Curated OER
How To Build a Planet From The Inside Out!
High schoolers read about the Spitzer Space Telescope and the technology used to learn about planet composition. They calculate the radius of a planet, the size of a planet, the average density of a planet and the likely core composition...
Curated OER
Three-Dimensional (3-D) Space
In this three-dimensional worksheet, students identify the center and radius of given spheres. They simplify an equation for all points in three-dimensional space which are equidistant from a given point. This two-page worksheet...
EngageNY
The Binomial Theorem
Investigate patterns in the binomial theorem. Pupils begin by reviewing the coefficients from Pascal's triangle. They look at the individual terms, the sums of the coefficients on a row, and the alternating sum of each row. Individuals...