EngageNY
The Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
Curated OER
Exploring Geometry on the Sphere
In this geometry worksheet, students define important vocabulary dealing with circles. They measure cricles to the nearest degree. There are 11 word problems to be solved.
Curated OER
Flower Vases
Which vase holds more water: a cylinder, sphere, or cone? Figure out which should be used for your sister's birthday bouquet with this practical word problem.
Science 4 Inquiry
Journey Through the Spheres of the Earth
Each of the Earth's spheres interacts with the other spheres in predictable ways. Young scientists explore these interactions through a hands-on activity, graphing, and watching a video. They summarize their knowledge in a video or...
Curated OER
Volume of Solid Figures
Learners calculate volume using the correct formula and the correct unit. They explore different prisms, spheres, cubes, and cones as they calculate volume and relate it to depths in oceans.
Curated OER
A Sphere and Its Net
Students identify and sketch the nets for sphere. In this geometry lesson, students differentiate between two and three dimensional shapes. They find the surface area of each sphere.
Curated OER
Surface Area of Spheres
Students identify the properties of a sphere. In this geometry lesson, students calculate the surface area of spheres using the formula derived by nets. They identify the radius and diameter of the sphere.
Curated OER
Volume Review
Students investigate the concepts of volume for rectangular prisms and spheres. They measure the volume of one balloon and then consider how many breaths it would take to fill the room with balloons. The rectangular prism being measured...
Curated OER
Circles 1, 2, 3, 4
Here is a way to help your charges identify circles and spheres. In this shapes geometry and technology lesson, students identify and draw circles and explain the related attributes. They recognize circles and spheres while exploring...
Curated OER
Dynamic Algebra
Explore 5 classical problems of algebra. They will solve problems involving Heron's formula, fractional equations, vector equations, apollonius' sphere, and transversals. The idea is to lead to new perceptions and visual thinking.
EngageNY
Cones and Spheres
Explore methods for finding the volume of different three-dimensional figures. The 20th lesson in the 25-part series asks learners to interpret diagrams of 3-D figures and use formulas to determine volume. Scholars must use the...
Curated OER
Sphere Dressing
Geometric design makes a fashion statement! Challenge learners to design a hat to fit a Styrofoam model. Specifications are clear and pupils use concepts related to three-dimensional objects including volume of irregular shapes and...
Curated OER
Tennis Ball Tubes
Students determine whether the height of a tennis ball tube or the distance around the tube is greater, or whether they are the same. Using the formula for the circumference and diameter of a sphere, they discuss the word problem, and in...
Curated OER
Sketching Spheres
Learners investigate spheres through sketches. In this geometry lesson plan, students sketch two and three dimensional shapes creating nets. They find and differentiate between the nets for prisms, pyramids, cones, cylinders and spheres.
Curated OER
The Celestial Sphere and Circumpolar Motion
Students investigate the celestial sphere and circumpolar motion. For this science lesson, students view an applet, The Celestial Sphere and Circumpolar Motion. Students discuss the Earth's rotation and stellar movement.
Curated OER
Cones, Cylinders, Spheres
Students classify polygons by name and shape. In this geometry lesson, students identify the lateral surface of each conic. They differentiate between cones, cylinders and spheres.
Curated OER
Earth's Rotation
Fourth graders investigate the Earth's rotation. In this Earth's rotation lesson, 4th graders realize that the rotation of Earth causes the days and nights on Earth. Students break into groups and use a flashlight and a sphere to...
Curated OER
Shapely Figures
Students are given magazines, scissors, glue, and one sheet of construction paper. They look for pictures showing real life representations of rectangular prisms, spheres, cones, and pyramids. Pupils cut out pictures showing each of...
Curated OER
The Federalist Defense of Diversity: Extending the Sphere
How did early Americans ensure expansion while also securing the rights of citizens? Alexander Hamilton and James Madison, two of our early leaders, considered the problem of faction to be the "mortal disease" that created unstable...
Learner
Solid Shapes
A collection of two lessons, kindergartners will identify two-dimensional shapes in solid shapes. They will develop basic knowledge of the components that make up a sphere, rectangular prism, pyramid, cylinder, cone, and cube. Young...
Curated OER
China - the Geography of European Imperialism - Spheres of Influence in China
Ninth graders create a map of China. They identify the various spheres of influence carved out by the Imperialist powers of Europe as well as locating geographical features of china and major cities. They explain the global impact of...
Alabama Learning Exchange
How Big Can a Bee Be?
Mathematicians analyze the relationships between surface area and volume. They conduct Internet research, conduct various experiments, record the data in a spreadsheet, and graph the results and compare the rate of increase of surface...
Curated OER
Living in a Geometrical World
Students participate in a series of hand-on, online, and multimedia activities to examine 2 dimensional and 3 dimensional shapes. They describe common geometric solids. They construct rectangular prisms using straws and ribbon.
EngageNY
Volume and Cavalieri’s Principle
Take a slice out of life. The ninth section in a series of 23 introduces classmates to Cavalieri's principle using cross sections of a cone and stacks of coins. Class members participate in a discussion using pyramids and how Cavalieri's...
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