Model good modeling practices. Young mathematicians first learn about cross sections and solids of revolution. They then turn their attention to special right triangles and to the Laws of Sine and Cosine.

Take a swing at the task. Using their knowledge of polygons and solids, scholars design one hole of a miniature golf course. They calculate areas and perimeters, determine the cost of building the holes, make scale drawings, and create...

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

Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...

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,...

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 and create simple geometric shapes and describe simple spatial relationships. Through discussion, hands-on activities and show and tell, they identify geometric solids in real life and create graphs of commonly found...

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...

From the apple on your desk and the coffee cup in your hand, to the cabinets along the classroom wall, basic three-dimensional shapes are found everywhere in the world around us. Introduce young mathematicians to the these common figures...

This resource was written for the younger math learner, but finding the volume of an irregular solid is also a problem for algebra and geometry students. Based on Archimedes’ Principle, one can calculate the volume of a stone by...

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...

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...

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...

Most adults remember learning about the Pythagorean theorem, but they don't all remember how to use it. The emphasis here is on developing an intuitive understanding of how and when to use the theorem. Young mathematicians explore...

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.

Fifth graders create a net for a given polyhedron. They determine the corresponding polyhedron for a given net. Students investigate several polyhedra (cube, tetrahedron, and one of their choosing) and their corresponding nets. They...