1. Geometry Big ideas of Geometry Content Connections Levels of Geometric thought Types of Geometry activities By: Kelsie, Matt, Tera

8. Levels 3 and 4 Deduction and Rigor Back to levels Very few students will have even reached level two by grade 6 or 7, so the book spent few little time explaining levels 3 and 4 but here is a brief overview: Level 3: Moving from relationships among properties to deductive systems of properties. “The student at this level is able to work with abstract statements about geometric properties and make conclusions based more on logic than intuition. This is the typical level of the High school geometry class. Level 4: Moving from deductive systems of properties to analysis of deductive systems. The objects of attention are axiomatic systems themselves rather than the deductions within a system. (axiomatic: those things that are assumed as true: laws, principles, postulates) This is generally the level of a college math major studying geometry.

11. Tessellations Geometry Activities Main Menu One shape and two shape tessellations can vary in difficulty. They should be used for students in 1 st -8 th grade. When shapes can be put together in more than one pattern, the creativity and the problem solving level increase. Actual shape tiles can be used, construction paper, pencil and paper, dot grids, or on computer programs such as Tesselmania (click for download of demo) Note: when using computer programs, ensure that students understand what they are doing and not just playing around until they get an end product. Escher-type tessellations are ones that make an a shape of something. This are very popular for students fifth grade and up. You should be discussing the idea of slides and rotations and students should understand why it then tessellates. If students use color, limit the number of colors to about 3 for most tessellations.