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...

Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same...

Investigate the properties of three-dimensional figures with this Arctic-themed math lesson plan. Beginning with a class discussion about different types of solid figures present in the classroom, young mathematicians are then given a...

If we stack up all the cross sections of a figure, does it create the figure? Pupils make the connection between the complete set of cross sections and the solid. They then view videos in order to see how 3D printers use Cavalerie's...

Students identify attributes in real-life objects and models of solids and connect these attributes to characteristics of shapes such as circles, triangles, squares, and other rectangles. They discuss the ability of the object to roll,...

Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two...

Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...

Elementary schoolers explore 3-D shapes. They transition from thinking of shapes as only 2-D. Pupils read Cinderella as a launching activity for their upcoming adventure, and explore a new world of 3-D shapes in this introductory lesson.