Students instantly connect with spheres. They intuitively know that a sphere is a solid, round figure, whose entire surface is equidistant from the center.
Besides our planet being the same shape, one of the earliest and most present toys in a student’s life is a sphere: the ball. Keep the learning momentum rolling, and get your students started on the Education.com spheres-themed worksheets and activities below.
Learn More About Spheres
A sphere is a geometrical object that is perfectly round. Many people associate spheres with circles. While circles are two-dimensional, spheres are three-dimensional.
To make it clear to students that spheres are three-dimensional, introduce students to spheres using balls as hands-on learning aides. One fun activity could be counting how many times a bouncy ball bounces from a single drop. Ask students how the ball’s behavior would change if it were not a sphere: what would happen to a cylinder
instead, or a bouncy cube?
Once your students have a feel for the basic properties of a sphere, it is time to define them. Start students out with the formula used to calculate a sphere’s surface area:
Now that we have scratched the surface, let’s get to the core of the matter. To calculate a sphere’s volume, use the following formula:
Once your students have understood how to calculate both the surface and area of a sphere, they will be ready to take on more challenging equations.
As your students grow more comfortable with the concept of spheres, point out their occurrence in multiple subjects outside of math, such as geography and geology. Our globe is a sphere, and knowing its properties help students understand the term hemisphere.
In sports, there are different ball shapes, some of which are spherical. Students may find understanding the sphere better improves their jump shot or tennis serve.
The Education.com resources above are sure to boost your students’ skills with spheres, no matter how they apply their newfound knowledge.