California's education system--the largest in the United States--is an essential resource for ensuring strong economic growth in the state. The Career Technical Education Pathways Initiative (referred to as the Initiative in this report), which became law in 2005, brings together community colleges, K-12 school districts, employers, organized…

The teacher's guide to Unit 9 covers the second chapter on perpendiculars and parallels in this SMSG series and the chapter on coordinate geometry. The overall purpose for each of the chapters is described, the prerequisite knowledge needed by students is specified, the mathematical development of each chapter is detailed, behavioral objectives…

Investigated here are some of the results which can be obtained using the double-sided straight edge. Seventeen possible constructions are presented with solutions or partial solutions given to most. (MP)

Detailed instructions are given for the construction of the rhombic dodecahedron templates. A discussion of symmetries is included as background information. (MP)

Described is a method of teaching geometric constructions. The method relates five basic constructions to the properties of a rhombus. (RH)

Describes some unsolved problems in geometry, as well as some recently solved ones. Indicates that each advance generates more problems than it solves, thus ensuring a constant growth in unsolved problems. (GA)

A detailed proof is given of a theorem that characterizes the vertex sequence of any convex polyhedron and establishes the existence of only 13 Archimedean solids. (MP)

Equations for the conic sections are given, and properties of the conics are discussed. The contributions of Greek mathematicians are reviewed. (DT)

Describes how the concept of similar triangles was taught using an optical method of estimating large distances as a corresponding activity. Includes the derivation of a formula to calculate one source of measurement error and is a nice exercise in the use of the properties of similar triangles. (Author/NB)

Presents an active way for students to learn about SAS, SSS, ASA, AAS, and HL in determining congruent triangles. (Author/NB)

Teaching mathematics with games and puzzles goes back in history. Presents an example with the set theory game called Subset Takeaway in which two players can play. Creates a geometric representation of Subset Takeaway starting with a triangle and going to a three-dimensional simplex. Illustrates the winning strategy in the game and features a…