Presents a mathematics investigation in which students discover number patterns in physical structures and express their generalizations algebraically. (MKR)

A set of three worksheets is provided, along with a guide for the teacher. Using manipulative materials, students investigate the difference between the consecutive sums of the numbers along the three sides of a triangle. (MNS)

Presents three hands-on, discovery geometry lessons based on the use of special pieces called Polydrons by a fifth-grade class to build and investigate special properties of polyhedra and to stimulate students to think geometrically. Includes reproducible student worksheets. (MKR)

Five different triangle shapes cut from poster board or construction paper provide the springboard for student activities and discussions of a variety of geometric concepts from kindergarten to grade 8. (MP)

Presents an activity to introduce students to the intrinsic curvature of surfaces using a wide variety of objects. Describes student discoveries, several variations on the project, and possible classroom discussion topics. A reproducible student worksheet and 17 references are included. (MKR)

Presents a series of 5 reproducible worksheets for grade levels 5-10 that provide hands-on activities to help develop the concept of slope. (MDH)

Presents a worksheet on graph paper that allows students to determine the perpendicular bisectors of given segments by folding the paper. Students then determine the slopes of the perpendicular bisectors and use inductive thinking to discover the relationship between the slopes of perpendicular lines. (MDH)

Presents activities to create designs with different arrangements of square tiles, which gives students an opportunity to make conjectures about perimeter and to make convincing arguments to justify those conjectures. Includes worksheets. (MKR)